School of Engineering

Courses offered by the School of Engineering are listed under the subject code ENGR on the Stanford Bulletin's ExploreCourses web site.

The School of Engineering offers undergraduate programs leading to the degree of Bachelor of Science (B.S.), programs leading to both B.S. and Master of Science (M.S.) degrees, other programs leading to a B.S. with a Bachelor of Arts (B.A.) in a field of the humanities or social sciences, dual-degree programs with certain other colleges, and graduate curricula leading to the degrees of M.S., Engineer, and Ph.D.

The school has nine academic departments: Aeronautics and Astronautics, Bioengineering, Chemical Engineering, Civil and Environmental Engineering, Computer Science, Electrical Engineering, Management Science and Engineering, Materials Science and Engineering, and Mechanical Engineering. These departments and one interdisciplinary program, the Institute for Computational and Mathematical Engineering, are responsible for graduate curricula, research activities, and the departmental components of the undergraduate curricula.

In research where faculty interest and expertise embrace both engineering and the supporting sciences, there are numerous interdisciplinary research centers and programs within the school as well as several interschool activities, including the Army High Performance Computing Research Center, Biomedical Informatics Training Program, Center for Integrated Systems, Center for Work, Technology, and Organization, Collaboratory for Research on Global Projects, National Center for Physics-Based Simulation in Biology, Center for Position, Navigation, and Time, the Energy Modeling Forum, the NIH Biotechnology Graduate Training Grant in Chemical Engineering, and the Stanford Technology Ventures Program. Energy Resources Engineering (formerly Petroleum Engineering) is offered through the School of Earth, Energy, and Environmental Sciences.

The School of Engineering's Hasso Plattner Institute of Design (also known as "the d.school" ) brings together students and faculty in engineering, business, education, medicine, and the humanities to learn design thinking and work together to solve big problems in a human-centered way.

The Woods Institute for the Environment brings together faculty, staff, and students from the schools, institutes and centers at Stanford to conduct interdisciplinary research, education, and outreach to promote an environmentally sound and sustainable world.

Global Engineering Programs (GEP) offers a portfolio of international opportunities for Stanford engineering students. Current opportunities focus on self-designed engineering internships. These opportunities enhance engineering education by providing students with an opportunity to learn about technology and engineering in a global context, to build professional networks, and to gain real world experience in a culturally diverse and international environment. Need-based financial aid is available to undergraduate students to ensure that GEP programs are inclusive. GEP programs evolve each year so students are encouraged to check the GEP website regularly for updated opportunities and details including application deadlines.

Instruction in Engineering is offered primarily during Autumn, Winter, and Spring quarters of the regular academic year. During the Summer Quarter, a small number of undergraduate and graduate courses are offered.

Undergraduate Programs in the School of Engineering

The principal goals of the undergraduate engineering curriculum are to provide opportunities for intellectual growth in the context of an engineering discipline, for the attainment of professional competence, and for the development of a sense of the social context of technology. The curriculum is flexible, with many decisions on individual courses left to the student and the adviser. For a student with well-defined educational goals, there is often a great deal of latitude.

In addition to the special requirements for engineering majors described below, all undergraduate engineering students are subject to the University general education, writing, and foreign language requirements outlined in the first pages of this bulletin. Depending on the program chosen, students have the equivalent of from one to three quarters of free electives to bring the total number of units to 180.

The School of Engineering's Handbook for Undergraduate Engineering Programs is the definitive reference for all undergraduate engineering programs; it provides detailed descriptions of all undergraduate programs in the school, as well as additional information about extracurricular programs and services. Because it is revised in the summer, and updates are made to the web site on a continuing basis, the handbook reflects the most up-to-date information on School of Engineering programs for the academic year.

Accreditation

The Accreditation Board for Engineering and Technology (ABET) accredits college engineering programs nationwide using criteria and standards developed and accepted by U.S. engineering communities. At Stanford, the following undergraduate programs are accredited:

• Civil Engineering
• Mechanical Engineering

In ABET-accredited programs, students must meet specific requirements for engineering science, engineering design, mathematics, and science course work. Students are urged to consult the School of Engineering Handbook for Undergraduate Engineering Programs and their adviser.

Accreditation is important in certain areas of the engineering profession; students wishing more information about accreditation should consult their department office or the office of the Senior Associate Dean for Student Affairs in 135 Huang Engineering Center.

Policy on Satisfactory/No Credit Grading and Minimum Grade Point Average

All courses taken to satisfy major requirements (including the requirements for mathematics, science, engineering fundamentals, Technology in Society, and engineering depth) for all engineering students (including both department and School of Engineering majors) must be taken for a letter grade if the instructor offers that option: If in doubt about requirements, courses should always be taken for a letter grade.

For departmental majors, the minimum combined GPA (grade point average) for all courses taken in fulfillment of the Engineering Fundamentals requirement and the Engineering Depth requirement is 2.0. For School of Engineering majors, the minimum GPA on all engineering courses taken in fulfillment of the major requirements is 2.0.

Admission

Any students admitted to the University may declare an engineering major if they elect to do so; no additional courses or examinations are required for admission to the School of Engineering. All students admitted to Stanford as undergraduates can have pathways to success in any engineering major at Stanford.   

First Year Advice

For first year students thinking about getting started in engineering or other STEM majors, the School of Engineering has a simple online tool called the Roadmap which suggests which courses might be appropriate to take in the first year. In addition, the one-unit Autumn course, ENGR 1 Want to Be an Engineer?, offers a broad exposure to STEM majors within and outside of the School of Engineering. Faculty present an overview of their program and where study of that topic might lead. Other courses that might be of interest are the IntroSems and Engineering Fundamentals (for a list and areas where they might apply to a major program go to Exploring Engineering on the UGHB website).

Recommended Preparation

Freshman

Students who plan to enter Stanford as freshmen and intend to major in engineering are advised to take the highest level of mathematics offered in high school. (See the "AP Credit" section of this bulletin for information on advanced placement in mathematics.) High school courses in physics and chemistry are strongly recommended, but not required. Additional elective course work in the humanities and social sciences is also recommended. Alternately, these courses can be taken after arrival at Stanford, and the best advice would be to begin early and have a detailed plan for completing requirements worked out.

Transfer Students

Students who do the early part of their college work elsewhere and then transfer to Stanford to complete their engineering programs should follow an engineering or pre-engineering program at the first school, selecting insofar as possible courses applicable to the requirements of the School of Engineering, that is, courses comparable to those mentioned under the Majors tab. In addition, students should work toward completing the equivalent of Stanford's foreign language requirement and as many of the University's General Education Requirements (GERs) as possible before transferring. Some transfer students may require more than four years (in total) to obtain the B.S. degree. However, Stanford affords great flexibility in planning and scheduling individual programs, which makes it possible for transfer students, who have wide variations in preparation, to plan full programs for each quarter and to progress toward graduation without undue delay.

Transfer credit is given for courses taken elsewhere whenever the courses are equivalent or substantially similar to Stanford courses in scope and rigor. The policy of the School of Engineering is to study each transfer student's preparation and make a reasonable evaluation of the courses taken prior to transfer by means of a petition process. Inquiries may be addressed to Darlene Lazar at dlazar@stanford.edu, in the Office of Student Affairs in 135 Huang Engineering Center. For more information, see the transfer credit section of the Handbook for Undergraduate Engineering Programs.

Degree Program Options

In addition to the B.S. degrees offered by departments, the School of Engineering offers two other types of B.S. degrees:

• Bachelor of Science in Engineering (see subplan majors listed below)
• Bachelor of Science for Individually Designed Majors in Engineering (IDMEN)

There are six Engineering B.S. subplans that have been proposed by cognizant faculty groups and approved by the Undergraduate Council:

• Architectural Design
• Atmosphere/Energy
• Biomechanical Engineering
• Biomedical Computation
• Engineering Physics
• Product Design

The B.S. for an Individually Designed Major in Engineering has also been approved by the council.

Curricula for majors are offered by the departments of:

• Aeronautics and Astronautics
• Bioengineering
• Chemical Engineering
• Civil and Environmental Engineering
• Computer Science
• Electrical Engineering
• Management Science and Engineering
• Materials Science and Engineering
• Mechanical Engineering

Curricula for majors in these departments have the following components:

• 36-45 units of mathematics and science (see Basic Requirements 1 and 2 at the end of this section)
• Engineering fundamentals (two-three courses minimum, depending up individual program requirements; see Basic Requirement 3)
• Technology in Society (TIS) (one course minimum, see Basic Requirement 4)
• Engineering depth (courses such that the total number of units for Engineering Fundamentals and Engineering Depth is between 60 and 72)
• ABET accredited majors must meet a minimum number of Engineering Science and Engineering Design units; (see Basic Requirement 5)

Consult the Handbook for Undergraduate Engineering Programs for additional information.

Dual Degree Programs

A Stanford undergraduate may work simultaneously toward two bachelor's degrees or toward a bachelor's and a master's degree, that is, B.A. and M.S., B.A. and M.A., B.S. and M.S., or B.S. and M.A. The degrees may be granted simultaneously or at the conclusion of different quarters. Five years are usually required for a dual or coterminal program or for a combination of these two multiple degree programs. For further information, inquire with the School of Engineering's student affairs office, 135 Huang Engineering Center, or with department contacts listed in the Handbook for Undergraduate Engineering Programs.

Dual B.A. and B.S. Degree Program—To qualify for both degrees, a student must:

1. complete the stated University and department requirements for each degree
2. complete 15 full-time quarters (3 full-time quarters after completing 180 units)
3. complete a total of 225 units (180 units for the first bachelor's degree plus 45 units for the second bachelor's degree)

Coterminal Bachelor's and Master's Degree Program

A Stanford undergraduate may be admitted to graduate study for the purpose of working simultaneously toward a bachelor's degree and a master's degree, in the same or different disciplines. To qualify for both degrees, a student must:

1. complete, in addition to the units required for the bachelor's degree, the number of units required by the graduate department for the master's degree which in no event is fewer than the University minimum of 45 units
2. complete the requirements for the bachelor's degree (department, school, and University) and apply for conferral of the degree at the appropriate time
3. complete the department and University requirements for the master's degree and apply for conferral of the degree at the appropriate time

A student may complete the bachelor's degree before completing the master's degree, or both degrees may be completed in the same quarter.

Procedure for Applying for Admission to Coterminal Degree Programs

Stanford undergraduates apply to the pertinent graduate department using the University coterminal application. Application deadlines and admissions criteria vary by department, but in all cases the student must apply early enough to allow a departmental decision at least one quarter in advance of the anticipated date of conferral of the bachelor's degree.

Students interested in coterminal degree programs in Engineering should refer to our departments' sections of this bulletin for more detailed information. The University requirements for the coterminal master's degree are described in the "Coterminal Master's Degrees" section of this bulletin.

Graduate Programs in the School of Engineering

Admission

Application for admission with graduate standing in the school should be made to the graduate admissions committee in the appropriate department or program. While most graduate students have undergraduate preparation in an engineering curriculum, it is feasible to enter from other programs, including chemistry, geology, mathematics, or physics.

For further information and application instructions, see the department sections in this bulletin or the Graduate Admissions website. Stanford undergraduates may also apply as coterminal students; details can be found under "Degree Program Options" in the "Undergraduate Programs in the School of Engineering" section of this bulletin.

Fellowships and Assistantships

Departments and divisions of the School of Engineering award graduate fellowships, research assistantships, and teaching assistantships each year.

Curricula in the School of Engineering

For further details about the following programs, see the department sections in this bulletin.

Related aspects of particular areas of graduate study are commonly covered in the offerings of several departments and divisions. Graduate students are encouraged, with the approval of their department advisers, to choose courses in departments other than their own to achieve a broader appreciation of their field of study. For example, most departments in the school offer courses concerned with nanoscience, and a student interested in an aspect of nanotechnology can often gain appreciable benefit from the related courses given by departments other than her or his own.

Departments and programs of the school offer graduate curricula as follows:

Aeronautics and Astronautics

• Aeroelasticity and Flow Simulation
• Aircraft Design, Performance, and Control
• Applied Aerodynamics
• Autonomy
• Computational Aero-Acoustics
• Computational Fluid Dynamics
• Computational Mechanics and Dynamical Systems
• Control of Robots, including Space and Deep-Underwater Robots
• Conventional and Composite Materials and Structures
• Decision Making under Uncertainty
• Direct and Large-Eddy Simulation of Turbulence
• High-Lift Aerodynamics
• Hybrid Propulsion
• Hypersonic and Supersonic Flow
• Micro and Nano Systems and Materials
• Multidisciplinary Design Optimization
• Navigation Systems (especially GPS)
• Optimal Control, Estimation, System Identification
• Sensors for Harsh Environments
• Space Debris Characterization
• Space Environment Effects on Spacecraft
• Space Plasmas
• Spacecraft Design and Satellite Engineering
• Turbulent Flow and Combustion

Bioengineering

• Biomedical Computation
• Biomedical Devices
• Biomedical Imaging
• Cell and Molecular Engineering
• Regenerative Medicine

Chemical Engineering

• Applied Statistical Mechanics
• Biocatalysis
• Biochemical Engineering
• Bioengineering
• Biophysics
• Computational Materials Science
• Colloid Science
• Dynamics of Complex Fluids
• Energy Conversion
• Functional Genomics
• Hydrodynamic Stability
• Kinetics and Catalysis
• Microrheology
• Molecular Assemblies
• Nanoscience and Technology
• Newtonian and Non-Newtonian Fluid Mechanics
• Polymer Physics
• Protein Biotechnology
• Renewable Fuels
• Semiconductor Processing
• Soft Materials Science
• Solar Utilization
• Surface and Interface Science
• Transport Mechanics

Civil and Environmental Engineering

• Atmosphere/Energy
• Environmental Engineering
• Geomechanics
• Structural Engineering
• Sustainable Design and Construction

Computational and Mathematical Engineering

• Applied and Computational Mathematics
• Computational Biology
• Computational Fluid Dynamics
• Computational Geometry and Topology
• Computational Geosciences
• Computational Medicine
• Data Science
• Discrete Mathematics and Algorithms
• Numerical Analysis
• Optimization
• Partial Differential Equations
• Stochastic Processes
• Uncertainty Quantification
• Financial Mathematics

Computer Science

See the Stanford Computer Forum for additional information.

• Algorithmic Game Theory
• Algorithms
• Artificial Intelligence
• Autonomous Agents
• Biomedical Computation
• Compilers
• Complexity Theory
• Computational and Cognitive Neuroscience
• Computational Biology
• Computational Geometry and Topology
• Computational Logic
• Computational Photography
• Computational Physics
• Computational Social Science
• Computer Architecture
• Computer Graphics
• Computer Security
• Computer Science Education
• Computer Sound
• Computer Vision
• Crowdsourcing
• Cryptography
• Database Systems
• Data Center Computing
• Data Mining
• Design and Analysis of Algorithms
• Distributed and Parallel Computation
• Distributed Systems
• Education and Learning Science
• Electronic Commerce
• Formal Verification
• General Game Playing
• Haptic Display of Virtual Environments
• Human-Computer Interaction
• Image Processing
• Information and Communication Technologies for Development
• Information Management
• Learning Theory
• Machine Learning
• Mathematical Theory of Computation
• Mobile Computing
• Multi-Agent Systems
• Nanotechnology-enabled Systems
• Natural Language and Speech Processing
• Networking and Internet Architecture
• Operating Systems
• Parallel Computing
• Probabilistic Models and Methods
• Programming Systems/Languages
• Robotics
• Robust System Design
• Scientific Computing and Numerical Analysis
• Sensor Networks
• Social and Information Networks
• Social Computing
• Ubiquitous and Pervasive Computing
• Visualization
• Web Application Infrastructure

Electrical Engineering

See EE Research at Stanford: The Big Picture for additional information.

• Biomedical Devices, Sensors and Systems
• Biomedical Imaging
• Communications Systems
• Control and Optimization
• Data Science
• Electronic Devices
• Embedded Systems
• Energy Harvesting and Conversion
• Energy-Efficient Hardware Systems
• Information Theory and Applications
• Integrated Circuits and Power Electronics
• Machine Learning
• Mobile Networking
• Nanoelectronic Devices and NanoSystems
• Nanotechnology and NEMS/MEMS
• Photonics, Nanoscience and Quantum Technology
• Secure Distributed Systems
• Signal Processing and Multimedia
• Societal Networks
• Software Defined Networking

Management Science and Engineering

• Decision and Risk Analysis
• Dynamic Systems
• Economics
• Entrepreneurship
• Finance
• Information
• Marketing
• Optimization
• Organization Behavior
• Organizational Science
• Policy
• Production
• Stochastic Systems
• Strategy

Materials Science and Engineering

• Biomaterials
• Ceramics and Composites
• Computational Materials Science
• Electrical and Optical Behavior of Solids
• Electron Microscopy
• Fracture and Fatigue
• Imperfections in Crystals
• Kinetics
• Magnetic Behavior of Solids
• Magnetic Storage Materials
• Nanomaterials
• Photovoltaics
• Organic Materials
• Phase Transformations
• Physical Metallurgy
• Solid State Chemistry
• Structural Analysis
• Thermodynamics
• Thin Films
• X-Ray Diffraction

Mechanical Engineering

• Biomechanics
• Combustion Science
• Computational Mechanics
• Controls
• Design of Mechanical Systems
• Dynamics
• Environmental Science
• Experimental Stress and Analysis
• Fatigue and Fracture Mechanics
• Finite Element Analysis
• Fluid Mechanics
• Heat Transfer
• High Temperature Gas Dynamics
• Kinematics
• Manufacturing
• Mechatronics
• Product Design
• Robotics
• Sensors
• Solids
• Thermodynamics
• Turbulence

Bachelor of Science in the School of Engineering

Departments within the School of Engineering offer programs leading to the Bachelor of Science degree in the following fields:

• Aeronautics and Astronautics
• Bioengineering
• Chemical Engineering
• Civil Engineering
• Computer Science
• Electrical Engineering
• Environmental Systems Engineering
• Management Science and Engineering
• Materials Science and Engineering
• Mechanical Engineering

The School of Engineering itself offers interdisciplinary programs leading to the Bachelor of Science degree in Engineering with specializations in:

• Architectural Design
• Atmosphere/Energy
• Biomechanical Engineering
• Biomedical Computation
• Engineering Physics
• Product Design

In addition, students may elect a Bachelor of Science in an Individually Designed Major in Engineering.

Bachelor of Arts and Science (B.A.S.) in the School of Engineering

This degree is available to students who complete both the requirements for a B.S. degree in engineering and the requirements for a major or program ordinarily leading to the B.A. degree. For more information, see the "Undergraduate Degrees" section of this bulletin.

Undergraduate Honors in the School of Engineering

The following bachelor's programs in the School of Engineering offer an honors option for qualified students:

• Aeronautics and Astronautics
• Architectural Design
• Atmosphere/Energy
• Bioengineering
• Biomechanical Engineering
• Biomedical Computation
• Civil Engineering
• Computer Science
• Electrical Engineering
• Engineering Physics
• Environmental Systems Engineering
• Materials Science and Engineering
• Mechanical Engineering

Independent Study, Research, and Honors

The departments of Aeronautics and Astronautics, Bioengineering, Chemical Engineering, Civil and Environmental Engineering, Computer Science, Electrical Engineering, Materials Science and Engineering, and Mechanical Engineering, as well as the faculty overseeing the Architectural Design, Atmosphere/Energy, Biomechanical Engineering, Biomedical Computation, and Engineering Physics majors, offer qualified students opportunities to do independent study and research at an advanced level with a faculty mentor in order to receive a Bachelor of Science with honors. An honors option is also available to students pursuing an independently designed major, with the guidance and approval of their adviser.

Petroleum Engineering

Petroleum Engineering is offered by the Department of Energy Resource Engineering in the School of Earth, Energy, and Environmental Sciences. Consult the "Energy Resources Engineering" section of this bulletin for requirements. School of Engineering majors who anticipate summer jobs or career positions associated with the oil industry should consider enrolling in ENGR 120.

Programs in Manufacturing

Programs in manufacturing are available at the undergraduate, master's, and doctorate levels. The undergraduate programs of the departments of Civil and Environmental Engineering, Management Science and Engineering, and Mechanical Engineering provide general preparation for any student interested in manufacturing. More specific interests can be accommodated through Individually Designed Majors in Engineering (IDMENs).

Basic Requirements

Basic Requirement 1 (Mathematics)

Engineering students need a solid foundation in the calculus of continuous functions, linear algebra, differential equations, an introduction to discrete mathematics, and an understanding of statistics and probability theory. Students are encouraged to select courses on these topics. Courses that satisfy the math requirement are listed in the Undergraduate Handbook on the Approved Courses page of the Courses and Planning section.

Basic Requirement 2 (Science)

A strong background in the basic concepts and principles of natural science in such fields as physics, chemistry, geology, and biology is essential for engineering. Most students include the study of physics and chemistry in their programs. Courses that satisfy the science requirement are listed in the Undergraduate Handbook on the Approved Courses page of the Courses and Planning section.

Basic Requirement 3 (Engineering Fundamentals)

The Engineering Fundamentals requirement is satisfied by a nucleus of technically rigorous introductory courses chosen from the various engineering disciplines. It is intended to serve several purposes. First, it provides students with a breadth of knowledge concerning the major fields of endeavor within engineering. Second, it allows the incoming engineering student an opportunity to explore a number of courses before embarking on a specific academic major. Third, the individual classes each offer a reasonably deep insight into a contemporary technological subject for the interested non-engineer.

The requirement is met by taking two to three courses from the following list (the number depends upon the individual requirements of each major program):

Course List

		Units
CS 106A	Programming Methodology	5
CS 106AX	Programming Methodologies in JavaScript and Python	5
CS 106B	Programming Abstractions	5
ENGR 10	Introduction to Engineering Analysis	4
ENGR 14	Intro to Solid Mechanics	3
ENGR 15	Dynamics	3
ENGR 20	Introduction to Chemical Engineering	4
ENGR 21	Engineering of Systems	3
ENGR 40A	Introductory Electronics	3
ENGR 40B	Introductory Electronics Part II	2
ENGR 40M	An Intro to Making: What is EE	3-5
ENGR 50	Introduction to Materials Science, Nanotechnology Emphasis 1,2	4
ENGR 50E	Introduction to Materials Science, Energy Emphasis 1	4
ENGR 50M	Introduction to Materials Science, Biomaterials Emphasis 1	4
ENGR 60	Engineering Economics and Sustainability	3
ENGR 62	Introduction to Optimization (same as MS&E 111)	4
ENGR 80	Introduction to Bioengineering (Engineering Living Matter) (same as BIOE 80)	4
ENGR 90	Environmental Science and Technology (same as CEE 70)	3

1	Only one course from each numbered series can be used in the Engineering Fundamentals category within a major program.
2	ENGR 40M Making Stuff: What is EE and ENGR 50 Introduction to Materials Science, Nanotechnology Emphasis may be taken on video at some of Stanford's Overseas Centers.

Basic Requirement 4 (Technology in Society)

It is important for the student to obtain a broad understanding of engineering as a social activity. To foster this aspect of intellectual and professional development, all engineering majors must take one course devoted to exploring issues arising from the interplay of engineering, technology, and society. Courses that fulfill this requirement are listed in the Undergraduate Handbook on the Approved Courses page of the Courses and Planning section.

Basic Requirement 5 (Engineering Topics)

In order to satisfy ABET (Accreditation Board for Engineering and Technology) requirements, a student majoring in Civil or Mechanical Engineering must complete one and a half years of engineering topics, consisting of a minimum of 68 units of Engineering Fundamentals and Engineering Depth appropriate to the student's field of study. In most cases, students meet this requirement by completing the major program core and elective requirements. A student may need to take additional courses in Depth in order to fulfill the minimum requirement. Appropriate courses assigned to fulfill each major's program are listed in the Undergraduate Handbook on the individual major page as listed in the Degree Programs section.

Experimentation

Civil Engineering and Mechanical Engineering must include experimental experience appropriate to the discipline. Lab courses taken in the sciences, as well as experimental work taken in courses within the School of Engineering, will fulfill this requirement.

Overseas Studies Courses in Engineering

For course descriptions and additional offerings, see the listings in the Stanford Bulletin's ExploreCourses web site or the Bing Overseas Studies web site. Students should consult their department or program's student services office for applicability of Overseas Studies courses to a major or minor program.

See the "Undergraduate Majors and Minors" menu item on the left side of this page for program-by-program descriptions of major degree requirements. All programs are listed below to facilitate export as a pdf; use the Print option in the right hand menu of this page to create such a pdf for all the tabs in the School of Engineering.

Aeronautics and Astronautics (AA)

Mission of the Undergraduate Program in Aeronautics and Astronautics

The mission of the undergraduate program in Aeronautics and Astronautics Engineering is to provide students with the fundamental principles and techniques necessary for success and leadership in the conception, design, implementation, and operation of aerospace and related engineering systems. Courses in the major introduce students to engineering principles. Students learn to apply this fundamental knowledge to conduct laboratory experiments, and aerospace system design problems. Courses in the major include engineering fundamentals, mathematics, and the sciences, as well as in-depth courses in aeronautics and astronautics, dynamics, mechanics of materials, autonomous systems, computational engineering, embedded programming, fluids engineering, and heat transfer. The major prepares students for careers in aircraft and spacecraft engineering, autonomy, robotics, unmanned aerial vehicles, drones, space exploration, air and space-based telecommunication industries, computational engineering, teaching, research, military service, and other related technology-intensive fields.

Completion of the undergraduate program in Aeronautics and Astronautics leads to the conferral of the Bachelor of Science in Aeronautics and Astronautics.

Requirements

Course List

		Units
Mathematics
24 units minimum
MATH 19	Calculus (required ) 1	3
MATH 20	Calculus (required) 1	3
MATH 21	Calculus (required) 1	4
CME 100/ENGR 154	Vector Calculus for Engineers (required) 2	5
or MATH 51	Linear Algebra, Multivariable Calculus, and Modern Applications
CME 102/ENGR 155A	Ordinary Differential Equations for Engineers (required) 2	5
or MATH 53	Ordinary Differential Equations with Linear Algebra
CME 106/ENGR 155C	Introduction to Probability and Statistics for Engineers (required)	4-5
or STATS 110	Statistical Methods in Engineering and the Physical Sciences
or STATS 116	Theory of Probability
or CS 109	Introduction to Probability for Computer Scientists
CME 104	Linear Algebra and Partial Differential Equations for Engineers (recommended) 2	5
or MATH 52	Integral Calculus of Several Variables
CME 108	Introduction to Scientific Computing (recommended )	3
Science
20 units minimum
PHYSICS 41	Mechanics (required) 3	4
or PHYSICS 41E	Mechanics, Concepts, Calculations, and Context
PHYSICS 43	Electricity and Magnetism (required) 3	4
PHYSICS 45	Light and Heat (required)	4
CHEM 31M	Chemical Principles: From Molecules to Solids (or CHEM 31A and CHEM 31B, or AP Chemistry) (required)	5
ENGR 80	Introduction to Bioengineering (Engineering Living Matter) (recommended)	4
School of Engineering approved Science Electives: See Undergraduate Handbook, Figure 4-2		3-5
Technology in Society (one course required)
School of Engineering approved Technology in Society courses: See Undergraduate Handbook, Figure 4-3. The course must be on the School of Engineering approved list the year you take it.		3-5
AA 252	Techniques of Failure Analysis (recommended)	3
Engineering Fundamentals (three courses required)
11 units minimum
ENGR 21	Engineering of Systems (required)	3
CS 106A	Programming Methodology	3-5
ENGR 10	Introduction to Engineering Analysis (recommended )	4
ENGR 40M	An Intro to Making: What is EE (recommended )	3-5
Fundamentals Elective; see list of Approved Courses in Undergraduate Engineering Handbook website at ughb.stanford.edu, Figure 4-4		3-5
Aero/Astro Depth Requirements
35 units minimum
ENGR 14	Intro to Solid Mechanics (required)	3
ENGR 15	Dynamics (required)	3
ENGR 105	Feedback Control Design (required)	3
ME 30	Engineering Thermodynamics (required)	3
ME 70	Introductory Fluids Engineering (required)	3
AA 100	Introduction to Aeronautics and Astronautics (required)	3
AA 131	Space Flight (required)	3
AA 141	Atmospheric Flight (required)	3
AA 151	Lightweight Structures (required)	3
AA 174A	Principles of Robot Autonomy I (required)	5
AA 190	Directed Research and Writing in Aero/Astro (required) satisfies the Writing in the Major requirement, (WIM)	3-5
Aero/Astro Focus Electives
12 units minimum
AA 102	Introduction to Applied Aerodynamics (recommended )	3
AA 103	Air and Space Propulsion	3
AA 113	Aerospace Computational Science	3
AA 135	Introduction to Space Policy	3
AA 156	Mechanics of Composite Materials	3
AA 173	Flight Mechanics & Controls	3
CS 237B	Principles of Robot Autonomy II (AA 174B )	3-4
AA 199	Independent Study in Aero/Astro	1-5
AA 261	Building an Aerospace Startup from the Ground Up	3
AA 272	Global Positioning Systems	3
AA 279A	Space Mechanics	3
MS&E 178	The Spirit of Entrepreneurship	2
Aero/Astro Suggested Courses (not required)
AA 149	Operation of Aerospace Systems	1
Aero/Astro Capstone Requirement
7 units minimum. Select either the Spacecraft or Aircraft course sequence
AA 136A	Spacecraft Design	3-5
AA 136B	Spacecraft Design Laboratory	3-5
AA 146A	Aircraft Design	4
AA 146B	Aircraft Design Laboratory	3

For additional information and sample programs see the Handbook for Undergraduate Engineering and the Aeronautics and Astronautics Undergraduate Program Sheet .

All courses taken for the major must be taken for a letter grade if that option is offered by the instructor.

Minimum Combined GPA for all courses in Engineering Topics (Engineering Fundamentals and Depth courses) is 2.0.

Transfer and AP credits in Math, Science, Fundamentals, and the Technology in Society course must be approved by the School of Engineering Dean's office.

1	A score of 4 on the Calculus BC test or 5 on the AB test only gives students 8 units, not 10 units, so is equal to MATH 19 + MATH 20, but not MATH 21. The Math Placement Exam determines what math course the student starts with.
2	It is recommended that the CME series (100, 102, 104) be taken rather than the MATH series (51, 52, 53). It is recommended that students taking the MATH series also take CME 192 Introduction to MATLAB.
3	A score of 5 on the AP Physics C Mechanics test places the student out of PHYSICS 41. Similarly, a score of 5 on the AP Physics Electricity and Magnetism test places the student out of PHYSICS 43.

Honors Program

The Department of Aeronautics and Astronautics honors program has been designed to allow undergraduates with strong records and enthusiasm for independent research to engage in a significant project leading to a degree with departmental honors. 

Students who meet the eligibility criteria and wish to be considered for the honors program should apply to the program by the end of the junior year. All applications are subject to the review and final approval by the Aero/Astro Undergraduate Curriculum Committee.

Application Requirements:

• One-page written statement describing the research topic and signed adviser form
• GPA of 3.5 or higher in the major
• Unofficial Stanford transcript (from Axess)
• Signature of thesis adviser

Honors criteria:

• Maintain the 3.5 GPA required for admissions to the honors program.
• Arrangement with an Aero/Astro faculty member who agrees to serve as the thesis adviser. The adviser must be a member of the Academic Council.
• Under the direction of the thesis adviser, complete at least two quarters of research with a minimum of 9 units of independent research; 3 of these units may be used towards a student’s Aero/Astro Focus Elective requirement.
• Submit an honors thesis (20-30 pages). Thesis is due by April 30th of senior year in order to be eligible for University prizes. 
• Attend Research Experience for Undergraduates Poster Session or present in another suitable forum approved by the faculty adviser.

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COVID-19-Related Degree Requirement Changes

For information on how Architectural Design (AD) degree requirements have been affected by the pandemic, see the "COVID-19 Policies tab" in the "Civil and Environmental Engineering" of this bulletin. For University-wide policy changes related to the pandemic, see the "COVID-19 and Academic Continuity" section of this bulletin.

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Architectural Design (AD)

Completion of the undergraduate program in Architectural Design leads to the conferral of the Bachelor of Science in Engineering. The subplan "Architectural Design" appears on the transcript and on the diploma.

Mission of the Undergraduate Program in Architectural Design

The mission of the undergraduate program in Architectural Design is to develop students' ability to integrate engineering and architecture in ways that blend innovative architectural design with cutting-edge engineering technologies. Courses in the program combine hands-on architectural design studios with a wide variety of other courses. Students can choose from a broad mix of elective courses concerning energy conservation, sustainability, building systems, and structures, as well as design foundation and fine arts courses. In addition to preparing students for advanced studies in architecture and construction management, the program's math and science requirements prepare students well for graduate work in other fields such as civil and environmental engineering, law, and business.

Requirements

Course List

		Units
Mathematics and Science (36 units minimum) 1
Mathematics
MATH 19	Calculus	3
MATH 20	Calculus	3
MATH 21	Calculus	4
Or 10 units AP Calculus or MATH 41 & MATH 42
CME 100	Vector Calculus for Engineers (Recommended)	5
One course in Statistics (required)		3-5
Science
PHYSICS 41	Mechanics	4/5
Recommended:
EARTHSYS 101	Energy and the Environment
EARTHSYS 102	Fundamentals of Renewable Power
CEE 64	Air Pollution and Global Warming: History, Science, and Solutions
CEE 70	Environmental Science and Technology
PHYSICS 23	Electricity, Magnetism, and Optics
or PHYSICS 43	Electricity and Magnetism
Or from School of Engineering approved list
Technology in Society
One course required; course chosen must be on the SoE Approved Courses list at <ughb.stanford.edu> the year taken.		3-5
Engineering Fundamentals
Two courses minimum, see Basic Requirement 3		6-8
ENGR 14	Intro to Solid Mechanics	3
AD Depth Core 2
CEE 31	Accessing Architecture Through Drawing	5
or CEE 31Q	Accessing Architecture Through Drawing
CEE 100	Managing Sustainable Building Projects (or CEE 32B or CEE 32D)	4
CEE 120A	Building Modeling for Design & Construction	3
CEE 130	Architectural Design: 3-D Modeling, Methodology, and Process	5
CEE 137B	Advanced Architecture Studio	6
ARTHIST 3	Introduction to World Architecture	5
Depth Options		12
See Note 2 for course options
Depth Electives
Elective units must be such that courses in ENGR Fundamentals, Core, Depth Options, and Depth Electives total at least 63 units. One of the following must be taken:
CEE 32D	Construction: The Writing of Architecture
CEE 32G	Architecture Since 1900
CEE 32H	Responsive Structures
CEE 32T	Making and Remaking the Architect: Edward Durell Stone and Stanford
CEE 32U	California Modernism: The Web of Apprenticeship
CEE 32V	Architectural Design Lecture Series Course
CEE 32W	Making Meaning: A Purposeful Life in Design
CEE 33B	Japanese Modern Architecture
CEE 33C	Housing Visions
CEE 131C	How Buildings are Made -- Materiality and Construction Methods
CEE 131D	Urban Design Studio
CEE 139	Design Portfolio Methods
CEE 151	Negotiation
Total Units		70-80

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs.

1	School of Engineering approved list of math and science courses available in the Handbook for Undergraduate Engineering Programs at http://ughb.stanford.edu.
2	Engineering depth options: Choose at least 12 units from the following courses: CEE 101A, CEE 101B, CEE 101C, CEE 120B, CEE 120C, CEE 134B, CEE 156, CEE 159, CEE 172, CEE 172A, CEE 176A, CEE 180, CEE 181, CEE 182, CEE 183, CEE 226, CEE 241, OR CEE 242; ME 203. Students should investigate any prerequisites for the listed courses and carefully plan course sequences with the AD director. Electives: CEE 32A, CEE 32B, CEE 32D, CEE 32F, CEE 32G, CEE 32H, CEE 32Q, CEE 32R, CEE 32S, CEE 32T, CEE 32U, CEE 32V, CEE 32W, CEE 33B, CEE 33C, CEE 101B, CEE 101C,  CEE 120A, CEE 120B,  CEE 120C, CEE 122A, CEE 122B, CEE 124, CEE 131A, CEE 131B, CEE 131C, CEE 131F, CEE 134B, CEE 139,  CEE 172A, CEE 176A, CEE 180, CEE 181, CEE 182, CEE 183 ENGR 50, ENGR 103 ME 101, ME 110, ME 115A/B/C, ME 120, ME 203 ARTSTUDI 13BX, ARTSTUDI 140, ARTSTUDI 145, ARTSTUDI 151, ARTSTUDI 153, ARTSTUDI 160, ARTSTUDI 162, ARTSTUDI 163, ARTSTUDI 164, ARTSTUDI 168, ARTSTUDI 170, ARTSTUDI 171, ARTSTUDI 181 ARTHIST 142, ARTHIST 143A, ARTHIST 188A FILMPROD 114 TAPS 137 SINY 122; URBANST 110, URBANST 113, URBANST 163, URBANST 171
3	A course may only be counted towards one elective or core requirement; it may not be double-counted. All courses taken for the major must be taken for a letter grade if that option is offered by the instructor. Minimum Combined GPA for all courses in Engineering  Fundamentals and Depth/Core is 2.0.

Architectural Design Honors Program

The AD honors program offers eligible students the opportunity to engage in guided original research, or project design, over the course of an academic year. For interested students the following outlines the process:

1. The student must submit a letter applying for the honors option endorsed by the student's primary adviser and honors adviser and submitted to the student services office in CEE. Applications must be received in the fourth quarter prior to graduation. It is strongly suggested that students meet with the Architectural Design Program Director well in advance of submitting an application.
2. The student must maintain a GPA of at least 3.5.
3. The student must complete an honors thesis or project. The timing and deadlines are to be decided by the program or honors adviser. At least one member of the evaluation committee must be a member of the Academic Council in the School of Engineering.
4. The student must present the work in an appropriate forum, e.g., in the same session as honors theses are presented in the department of the advisor. All honors programs require some public presentation of the thesis or project.
5. A pdf of the thesis, including the signature page signed by both readers, should be submitted to the student services officer. Students will be sent email instructions on how to archive a permanent electronic copy in Terman Engineering library.

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COVID-19-Related Degree Requirement Changes

For information on how Atmosphere/Energy (A/E) degree requirements have been affected by the pandemic, see the "COVID-19 Policies tab" in the "Civil and Environmental Engineering" of this bulletin. For University-wide policy changes related to the pandemic, see the "COVID-19 and Academic Continuity" section of this bulletin.

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Atmosphere/Energy (A/E)

Completion of the undergraduate program in Atmosphere/Energy leads to the conferral of the Bachelor of Science in Engineering. The subplan "Atmosphere/Energy" appears on the transcript and on the diploma.

Mission of the Undergraduate Program in Atmosphere/Energy

Atmosphere and energy are strongly linked: fossil-fuel energy use contributes to air pollution, global warming, and weather modification; and changes in the atmosphere feed back to renewable energy resources, including wind, solar, hydroelectric, and wave resources. The mission of the undergraduate program in Atmosphere/Energy (A/E) is to provide students with the fundamental background necessary to understand large- and local-scale climate, air pollution, and energy problems and solve them through clean, renewable, and efficient energy systems. To accomplish this goal, students learn in detail the causes and proposed solutions to the problems, and learn to evaluate whether the proposed solutions are truly beneficial. A/E students take courses in renewable energy resources, indoor and outdoor air pollution, energy efficient buildings, climate change, renewable energy and clean-vehicle technologies, weather and storm systems, energy technologies in developing countries, electric grids, and air quality management. The curriculum is flexible. Depending upon their area of interest, students may take in-depth courses in energy or atmosphere and focus either on science, technology, or policy. The major is designed to provide students with excellent preparation for careers in industry, government, and research; and for study in graduate school.

Requirements

Course List

		Units
Mathematics and Science (45 units minimum):
Mathematics		23
23 units minimum, including at least one course from each group:
Group A
MATH 53	Ordinary Differential Equations with Linear Algebra
CME 102	Ordinary Differential Equations for Engineers
Group B
CME 106	Introduction to Probability and Statistics for Engineers
STATS 60	Introduction to Statistical Methods: Precalculus
STATS 101	Data Science 101
STATS 110	Statistical Methods in Engineering and the Physical Sciences
Science		20
20 units minimum, including all of the following:
PHYSICS 41	Mechanics
PHYSICS 43	Electricity and Magnetism
or PHYSICS 45	Light and Heat
CHEM 31B	Chemical Principles II
or CHEM 31M	Chemical Principles: From Molecules to Solids
CEE 70	Environmental Science and Technology 1
Technology in Society (1 course)		3-5
One 3-5 unit course required; must be on School of Engineering Approved List the year taken.
Writing in the Major (WIM)
One 3-5 unit course required. Choose a TiS course that fulfills a WIM:
BIOE 131	Ethics in Bioengineering
COMM 120W	The Rise of Digital Culture
OR one of these WIM courses (do not fulfill TiS):
CEE 100	Managing Sustainable Building Projects
ENGR/CEE 102W	Technical and Professional Communication
EARTHSYS 200	Environmental Communication in Action: The SAGE Project
Fundamentals and Depth: At least 40 units total must be from the School of Engineering
Engineering Fundamentals
Two courses minimum (recommend 3), including at least one of the following:		7-9
ENGR 50E	Introduction to Materials Science, Energy Emphasis (ENGR 25E also accepted (no longer offered))
Plus at least one of the following:
ENGR 10	Introduction to Engineering Analysis
A third Fundamental is optional but recommended (3-4 units)
CS 106A	Programming Methodology
Engineering Depth
Required: 6-8 units. Introductory seminars may not count toward Engineering Depth 2
CEE 64	Air Pollution and Global Warming: History, Science, and Solutions (cannot also fulfill science requirement)	3
CEE 107A	Understanding Energy	3-5
or CEE 107S	Understanding Energy - Essentials
34- 36 units from the following with at least four courses from each group; at least 40 of the units in ENGR Fundamentals and Depth must be from the School of Engineering:		36
Group A: Atmosphere
AA 100	Introduction to Aeronautics and Astronautics
CEE 63	Weather and Storms
CEE 101B	Mechanics of Fluids
or ME 70	Introductory Fluids Engineering
CEE 161I	Atmosphere, Ocean, and Climate Dynamics: The Atmospheric Circulation
CEE 162I	Atmosphere, Ocean, and Climate Dynamics: the Ocean Circulation
CEE 172	Air Quality Management
CEE 178	Introduction to Human Exposure Analysis
EARTHSYS 111	Biology and Global Change 5
EARTHSYS 142	Remote Sensing of Land 5
or EARTHSYS 144	Fundamentals of Geographic Information Science (GIS)
EARTHSYS 159	Economic, Legal, and Political Analysis of Climate-Change Policy
EARTHSYS 188	Social and Environmental Tradeoffs in Climate Decision-Making 5
PHYSICS 199	The Physics of Energy and Climate Change 5
EARTH 2	Climate and Society 5
EARTHSYS 196	Implementing Climate Solutions at Scale 5
Group B: Energy
CEE 107R	E^3: Extreme Energy Efficiency
CEE 156	Building Systems Design & Analysis
CEE 173S	Electricity Economics
CEE 176A	Energy Efficient Buildings
CEE 176B	100% Clean, Renewable Energy and Storage for Everything
CEE 177S	Engineering and Sustainable Development
EARTHSYS 101	Energy and the Environment 5
EARTHSYS 102	Fundamentals of Renewable Power 5
ENERGY 104	Sustainable Energy for 9 Billion
ENGR 50E	Introduction to Materials Science, Energy Emphasis 3
MATSCI 144	Thermodynamic Evaluation of Green Energy Technologies
MATSCI 156	Solar Cells, Fuel Cells, and Batteries: Materials for the Energy Solution
ME 182	Electric Transportation
POLISCI 73	Energy Policy in California and the West 5
OSPSANTG 29	Sustainable Cities: Comparative Transportation Systems in Latin America 5
Total Units		95-101

1	Can count as a science requirement or Engineering Fundamental, but not both.
2	CEE 64 can count as a science requirement or as Engineering Depth, but not both.
3	ENGR 50E can count as Engineering Fundamental or Engineering Depth, but not both.
4	A course may only be counted towards one requirement; it may not be double-counted. All courses taken for the major must be taken for a letter grade if that option is offered by the instructor. Minimum Combined GPA for all courses in Engineering Fundamentals and Depth is 2.0.
5	Courses outside of the School of Engineering (SoE) do not count toward the 40 units of engineering coursework required in the Fundamentals plus Depth categories.

Honors Program

The A/E honors program offers eligible students the opportunity to engage in guided original research, or project design, over the course of an academic year. Interested student must adhere to the following requirements:

1. Prospective honors students write up and submit a 1-2 page letter applying to the honors program in A/E describing the problem to be investigated. The letter must be signed by the student, the current primary adviser, and the proposed honors adviser, if different, and submitted to the student services office in the Department of Civil and Environmental Engineering (CEE). The application must include an unofficial Stanford transcript. Applications must be received in the fourth quarter prior to graduation. It is strongly suggested that prospective honors students meet with the proposed honors adviser well in advance of submitting an application.
2. Students must maintain a GPA of at least 3.5.
3. Students must complete an honors thesis or project over a period of three quarters. The typical length of the written report is 15-20 pages. The deadline for submission of the report is to be decided by the honors adviser, but should be no later than the end of the third week in May.
4. The report must be read and evaluated by the student's honors adviser and one other reader. It is the student's responsibility to find and obtain both the adviser and the reader. At least one of the two must be a member of the Academic Council in the School of Engineering.
5. Students must present the completed work in an appropriate forum, e.g. in the same session as honors theses are presented in the department of the adviser. All honors programs require some public presentation of the thesis or project.
6. Students may take up to 10 units of CEE 199H Undergraduate Honors Thesis(optional). However, students must take ENGR 202S Directed Writing Projects or its equivalent (required). Units for the writing class are beyond those required for the A/E major.
7. Two copies of the signed thesis must be provided to the CEE student services office no later than two weeks before the end of the student's graduation quarter. A pdf of the thesis, including the signature page signed by both readers, should be submitted to the student services officer by May 15. Students will be sent email instructions on how to archive a permanent electronic copy in Terman Engineering library.

For additional information and sample programs, see the Handbook for Undergraduate Engineering Programs (UGHB).

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COVID-19-Related Degree Requirement Changes

For information on how Aeronautics and Astronautics degree requirements have been affected by the pandemic, see the "COVID-19 Policies tab" in the "Bioengineering" of this bulletin. For University-wide policy changes related to the pandemic, see the "COVID-19 and Academic Continuity" section of this bulletin.

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Bioengineering (BIOE)

Completion of the undergraduate program in Bioengineering leads to the conferral of the Bachelor of Science in Bioengineering.

Mission of the Undergraduate Program in Bioengineering

The Stanford Bioengineering major enables students to combine engineering and the life sciences in ways that advance scientific discovery, healthcare and medicine, manufacturing, environmental quality, culture, education, and policy. Students who major in BioE earn a fundamental engineering degree for which the raw materials, underlying basic sciences, fundamental toolkit, and future frontiers are all defined by the unique properties of living systems.

Students will complete engineering fundamentals courses, including an introduction to bioengineering and computer programming. A series of core BIOE classes beginning in the second year leads to a student-selected depth area and a senior capstone design project. The department also organizes a summer Research Experience for Undergraduates (REU) program. BIOE graduates are well prepared to pursue careers and lead projects in research, medicine, business, law, and policy.

Requirements

Course List

		Units
Mathematics
14 units minimum (Prerequisites: 10 units of AP or IB credit or Mathematics 20-series) 1
Select one of the following sequences:
CME 100 & CME 102	Vector Calculus for Engineers and Ordinary Differential Equations for Engineers (Recommended)	10
MATH 51 & MATH 53	Linear Algebra, Multivariable Calculus, and Modern Applications and Ordinary Differential Equations with Linear Algebra	10
Select one of the following:
CME 106	Introduction to Probability and Statistics for Engineers (Recommended)	4-5
or STATS 110	Statistical Methods in Engineering and the Physical Sciences
or STATS 141	Biostatistics
Science
26 units minimum 2
CHEM 31M	Chemical Principles: From Molecules to Solids (formerly 31X)	5
or CHEM 31A & CHEM 31B	Chemical Principles I and Chemical Principles II
CHEM 33	Structure and Reactivity of Organic Molecules	5
BIO 83	Biochemistry & Molecular Biology (Recommended)	4
or BIO 82	Genetics
BIO 84	Physiology	4
PHYSICS 41	Mechanics	4
PHYSICS 43	Electricity and Magnetism	4
Technology in Society
BIOE 131	Ethics in Bioengineering (WIM)	3
Engineering Fundamentals
BIOE 80	Introduction to Bioengineering (Engineering Living Matter)	4
CS 106A	Programming Methodology (or CS 106B or CS 106X)	5
Fundamentals Elective; see UGHB for approved course list; only one CS class allowed to count toward Fundamentals requirements.		3-5
Bioengineering Core
BIOE 42	Physical Biology	4
BIOE 44	Fundamentals for Engineering Biology Lab	4
BIOE 101	Systems Biology	3
BIOE 103	Systems Physiology and Design	4
BIOE 123	Bioengineering Systems Prototyping Lab	4
BIOE 141A	Senior Capstone Design I	4
BIOE 141B	Senior Capstone Design II	4
Bioengineering Depth Electives
Four courses, minimum 12 units:		12
BIOE 122	BioSecurity and Pandemic Resilience
BIOE 201C	Diagnostic Devices Lab
BIOE 209	Mathematical Modeling of Biological Systems
BIOE 211	Biophysics of Multi-cellular Systems and Amorphous Computing
BIOE 212	Introduction to Biomedical Informatics Research Methodology
BIOE 214	Representations and Algorithms for Computational Molecular Biology
BIOE 217	Translational Bioinformatics
BIOE 220	Introduction to Imaging and Image-based Human Anatomy
or BIOE 51	Anatomy for Bioengineers
BIOE 221	Physics and Engineering of Radionuclide-based Medical Imaging
BIOE 222	Physics and Engineering Principles of Multi-modality Molecular Imaging of Living Subjects
BIOE 223	Physics and Engineering of X-Ray Computed Tomography
BIOE 224	Probes and Applications for Multi-modality Molecular Imaging of Living Subjects
BIOE 225	Intro to Ultrasound Physics and Ultrasound Neuromodulation
BIOE 227	Functional MRI Methods
BIOE 231	Protein Engineering
BIOE 244	Advanced Frameworks and Approaches for Engineering Integrated Genetic Systems
BIOE 260	Tissue Engineering
BIOE 279	Computational Biology: Structure and Organization of Biomolecules and Cells
BIOE 281	Biomechanics of Movement
BIOE 291	Principles and Practice of Optogenetics for Optical Control of Biological Tissues
Total Units		104-107

1	It is strongly recommended that CME 100 Vector Calculus for Engineers and CME 102 Ordinary Differential Equations for Engineers be taken rather than MATH 51 Linear Algebra, Multivariable Calculus, and Modern Applications and MATH 53 Ordinary Differential Equations with Linear Algebra. If you are taking the MATH 50 series, it is strongly recommended to take CME 192 Introduction to MATLAB. CME 106 Introduction to Probability and Statistics for Engineers utilizes MATLAB, a powerful technical computing program, and should be taken rather than STATS 110 Statistical Methods in Engineering and the Physical Sciences or STATS 141 Biostatistics.  Although not required, CME 104 Linear Algebra and Partial Differential Equations for Engineers is recommended for some Bioengineering courses.
2	Science must include both Chemistry (CHEM 31A Chemical Principles I and CHEM 31B Chemical Principles II; or CHEM 31M Chemical Principles: From Molecules to Solids) and calculus-based Physics (PHYSICS 41 Mechanics and PHYSICS 43 Electricity and Magnetism), with two quarters of course work in each, in addition to two courses of BIO core. CHEM 31A Chemical Principles I and CHEM 31B Chemical Principles II are considered one course even though given over two quarters.
3	A course may only be counted towards one requirement; it may not be double-counted. All courses taken for the major must be taken for a letter grade if that option is offered by the instructor. Minimum Combined GPA for all courses in Engineering Fundamentals and Depth is 2.0.

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB). Students pursuing a premed program need to take additional courses; see the UGHB, BioE Premed 4-Year Plan.

Honors Program

The School of Engineering offers a program leading to a Bachelor of Science in Bioengineering with Honors (BIOE-BSH). This program provides the opportunity for qualified BioE majors to conduct independent research at an advanced level with a faculty research adviser and documented in an honors thesis.

In order to receive departmental honors, students admitted to the program must:

1. Declare the honors program in Axess (BIOE-BSH).
2. Maintain an overall grade point average (GPA) of at least 3.5 as calculated on the unofficial transcript.
3. Complete at least two quarters of research with a minimum of nine units of BIOE 191 Bioengineering Problems and Experimental Investigation or BIOE 191X Out-of-Department Advanced Research Laboratory in Bioengineering for a letter grade; up to three units may be used towards the bioengineering depth elective requirements.  
4. Submit an electronic pdf copy of their thesis, including the signature page signed by both readers, to Bioengineering student services . Students are sent email instructions on how to archive a permanent electronic copy in Terman Engineering library.
5. Present thesis synopsis at the Bioengineering Honors Poster Fair at the end of Spring Quarter.

For program deadlines, application instructions, and more information, please see the Bioengineering Honors Program website.

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COVID-19-Related Degree Requirement Changes

Grading

The Biomechanical Engineering program counts all courses taken in academic year 2020-21 with a grade of 'CR' (credit) or 'S' (satisfactory) towards satisfaction of undergraduate degree requirements that normally require a letter grade.

Other Undergraduate Policies

The Biomechanical Engineering program encourages students to take courses for letter grades when possible in order to have complete records for use when seeking future opportunities, including employment in industry and students seeking to apply for graduate studies. Per University policy, students can change grading basis through the end of Week 8 in all four quarters in 2020-21. Students are encouraged to reach out directly to Biomechanical Engineering Program Director, Marc Elliot Levenston <levenston@stanford.edu>, for questions about petitions, especially in situations related to COVID-19 policies and grading basis

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Biomechanical Engineering (BME)

Completion of the undergraduate program in Biomechanical Engineering leads to the conferral of the Bachelor of Science in Engineering. The subplan "Biomechanical Engineering" appears on the transcript and on the diploma.

Mission of the Undergraduate Program in Biomechanical Engineering

The mission of the undergraduate program in Biomechanical Engineering is to help students address health science challenges by applying engineering mechanics and design to the fields of biology and medicine. The program is interdisciplinary in nature, integrating engineering course work with biology and clinical medicine. Research and teaching in this discipline focus primarily on neuromuscular, musculoskeletal, cardiovascular, and cell and tissue biomechanics. This major prepares students for graduate studies in bioengineering, biomechanics, medicine or related areas.

Requirements

Course List

		Units
Mathematics		21
21 units minimum; CME sequence is recommended, but MATH sequence is acceptable; see Basic Requirement 1 1
CME 102/ENGR 155A	Ordinary Differential Equations for Engineers
or MATH 53	Ordinary Differential Equations with Linear Algebra
Select one of the following:
CME 106/ENGR 155C	Introduction to Probability and Statistics for Engineers
STATS 110	Statistical Methods in Engineering and the Physical Sciences
STATS 116	Theory of Probability
STATS 141	Biostatistics
Science (22 units Minimum)
CHEM 31M	Chemical Principles: From Molecules to Solids ( or CHEM 31A & CHEM 31B)	5
PHYSICS 41	Mechanics	4
Biology or Human Biology A/B core courses 2		8-10
BIO 45	Introduction to Laboratory Research in Cell and Molecular Biology	4
or BIOE 44	Fundamentals for Engineering Biology Lab
Technology in Society
One course required; BIOE 131 satisfies both TiS and WIM requirements. TiS course must be on School of Engineering Approved Courses list in the UGHB the year taken		3-5
Engineering Topics (Engineering Science and Design)
Engineering Fundamentals (minimum two courses; see Basic Requirement 3):
ENGR 14	Intro to Solid Mechanics	3
Pick one of the following:
ENGR 80	Introduction to Bioengineering (Engineering Living Matter)
ENGR 50M	Introduction to Materials Science, Biomaterials Emphasis
Engineering Depth
ENGR 15	Dynamics	3
ME 30	Engineering Thermodynamics	3
ME 70	Introductory Fluids Engineering	3
ME 80	Mechanics of Materials	3
ME 389	Biomechanical Research Symposium 4	1
Mechanical Engineering/ Biomechanical Engineering Depth
Students are encouraged to carefully select ME and BME depth courses that complement each other and form a cohesive plan of study.
Options to complete the ME depth sequence (3 courses, minimum 9 units): 5		9
ENGR 105	Feedback Control Design
ME 102	Foundations of Product Realization
ME 103	Product Realization: Design and Making
ME 104	Mechanical Systems Design
ME 131	Heat Transfer
ME 133	Intermediate Fluid Mechanics
ME 151	Introduction to Computational Mechanics
ME 152	Material Behaviors and Failure Prediction
ME 161	Dynamic Systems, Vibrations and Control
Options to complete the BME depth sequence (3 courses, minimum 9 units); (alternative courses may be allowed but only if petitioned for use in advance of being taken) 5		9
BIOE 260	Tissue Engineering
BIOE/ME 285	Computational Modeling in the Cardiovascular System
ME 234	Introduction to Neuromechanics
ME 281	Biomechanics of Movement
ME 283	Introduction to Biomechanics and Mechanobiology
ME 287	Mechanics of Biological Tissues
ME 337	Mechanics of Growth
Total Units		79-83

1	Math: 21 units required and must include a course in differential equations (CME 102 or MATH 53; one of these required) and a course in calculus-based Statistics (CME 106 Introduction to Probability and Statistics for Engineers or STATS 110 Statistical Methods in Engineering and the Physical Sciences or STATS 116 Theory of Probability or STATS 141 Biostatistics).
2	Students satisfy the Biology requirement by either: taking two of the following:  BIO 82 Genetics , BIO 83 Biochemistry & Molecular Biology, BIO 84 Physiologyor BIO 86 Cell Biology requires BIO 83); or  taking two of the following: HUMBIO 2A Genetics, Evolution, and Ecology, HUMBIO 3A Cell and Developmental Biology, or HUMBIO 4A The Human Organism
3	There are two options for fulfilling the WIM requirement. The first option is to complete BIOE 131 Ethics in Bioengineering, which also fulfills the TiS requirement. The second option is to perform engineering research over the summer or during the academic year and enroll in 3 units of ENGR 199W Writing of Original Research for Engineers, preferably during the time a student is performing research or the following quarter, to write a technical report on the research. This second option requires an agreement with the student's faculty research supervisor.
4	If ME 389 is not offered, other options include BIOE 393, ME 571, or course by petition.
5	Courses may only be listed once on the program sheet i.e no double counting. All courses taken for the major must be taken for a letter grade if that option is offered by the instructor. Minimum combined GPA for all courses in Engineering Fundamentals and Depth is 2.0.

Honors Program

The School of Engineering offers a program leading to a Bachelor of Science in Engineering: Biomechanical Engineering with Honors. This program provides an opportunity for qualified BME majors to conduct independent study and research related to biomechanical engineering at an advanced level with a faculty mentor.

Honors Criteria:

• GPA of 3.5 or higher in the major
• Arrangement with an ME faculty member (or a faculty member from another department who is approved by the BME Undergraduate Program Director) who agrees to serve as the honors adviser, plus a second faculty member who reads and approves the thesis. The honors adviser must be a member of the Academic Council in the School of Engineering.

• Submit an application to the ME student services office no later than the second week of the term two quarters before anticipated conferral (e.g., Autumn for Spring conferral, Spring for Autumn conferral).  An application consists of: 

  • A one-page written statement describing the research topic, with signatures indicating approval of both the thesis adviser and thesis reader on a cover page 

  • An unofficial Stanford transcript; 

• Applications are subject to the review and final approval by the BME Undergraduate Program Director. Applicants and thesis advisers receive written notification when a decision has been made. 
• In order to graduate with honors:
  • Declare ENGR-BSH (honors) program in Axess
  • Maintain 3.5 GPA
  • Submit a completed thesis draft to the adviser by the third week of the quarter in which they intend to confer. Further revisions and final endorsement by the adviser and reader are to be finished by week six, when two bound copies are to be submitted to the Mechanical Engineering student services office.  A pdf of the thesis, including the signature page signed by both readers, should also be submitted to the student services officer. Students are sent email instructions on how to archive a permanent electronic copy in Terman Engineering library.
  • Present the thesis at the Mechanical Engineering Poster Session held in mid-April. If the poster session is not not offered or the student does not confer in the Spring, an alternative presentation will be approved on a case by case basis with advisor and BME Program Director approval.  

Note: Students may not use work completed towards an honors degree to satisfy BME course requirements

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB).

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COVID-19-Related Degree Requirement Changes

The BMC Program counts all courses taken in academic year 2020-21 with a grade of 'CR' (credit) or 'S' (satisfactory) towards satisfaction of undergraduate degree requirements that otherwise require a letter grade. Students are encouraged to enroll in the letter grade option for degree requirements whenever possible.

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Biomedical Computation (BMC)

Completion of the undergraduate program in Biomedical Computation leads to the conferral of the Bachelor of Science in Engineering. The subplan "Biomedical Computation" appears on the transcript and on the diploma.

Mission of the Undergraduate Program in Biomedical Computation

Quantitative and computational methods are central to the advancement of biology and medicine in the 21^st century. These methods span the analysis of biomedical data, the construction of computational models for biological systems, and the design of computer systems that help biologists and physicians create and administer treatments to patients. The Biomedical Computation major prepares students to work at the cutting edge of this interface between computer science, biology, and medicine. Students begin their journey by acquiring foundational knowledge in the underlying biological and computational disciplines. They learn techniques in informatics and simulation and their numerous applications in understanding and analyzing biology at all levels, from individual molecules in cells to entire organs, organisms, and populations. Students then focus their efforts in a depth area of their choosing, and participate in a substantial research project with a Stanford faculty member. Upon graduation, students are prepared to enter a range of disciplines in either academia or industry.

Requirements

Course List

		Units
Mathematics
21 unit minimum, see Basic Requirement 1
MATH 19	Calculus (or AP Calculus )	3
MATH 20	Calculus (or AP Calculus)	3
MATH 21	Calculus (or AP Calculus)	4
CS 103	Mathematical Foundations of Computing	3-5
CS 109	Introduction to Probability for Computer Scientists	3-5
Science
17 units minimum, see Basic Requirement 2
PHYSICS 41	Mechanics	4
CHEM 31M	Chemical Principles: From Molecules to Solids (formerly CHEM 31X)	5
or CHEM 31B	Chemical Principles II
CHEM 33	Structure and Reactivity of Organic Molecules	5
BIO 82	Genetics (or HUMBIO 2A)	4
BIO 83	Biochemistry & Molecular Biology (or BIO 84 or HUMBIO 3A)	4
BIO 86	Cell Biology (or HUMBIO 4A)	4
Engineering Fundamentals
CS 106B	Programming Abstractions 4	5
or CS 106X	Programming Abstractions
For the second required course, see concentrations 4
Technology in Society
One course required, see Basic Requirement 4; course used must be on the School of Engineering Approved Courses list in the UGHB the year taken.		3-5
Engineering
CS 107	Computer Organization and Systems	3-5
CS 161	Design and Analysis of Algorithms	3-5
Select one of the following:		3
CS 270	Modeling Biomedical Systems
CS 273A	The Human Genome Source Code
CS 274	Representations and Algorithms for Computational Molecular Biology
CS 275	Translational Bioinformatics
CS 279	Computational Biology: Structure and Organization of Biomolecules and Cells
CME 209	Mathematical Modeling of Biological Systems
Research: 6 units of biomedical computation research in any department 2,3		6
Engineering Depth Concentration (select one of the following concentrations): 7
Cellular/Molecular Concentration
Mathematics: Select one of the following:
CME 100	Vector Calculus for Engineers
STATS 141	Biostatistics
MATH 51	Linear Algebra, Multivariable Calculus, and Modern Applications
One additional Engineering Fundamental 4
BIO 104	Advance Molecular Biology: Epigenetics and Proteostasis
CHEM 141	The Chemical Principles of Life I (or CHEM 171) 4
Cell/Mol Electives (two courses) 5,6
Informatics Electives (two courses) 5,6
Simulation Electives (two courses) 5, 6
Simulation, Informatics, or Cell/Mol Elective (one course) 5,6
Informatics Concentration
Mathematics: Select one of the following:
STATS 141	Biostatistics
STATS 203	Introduction to Regression Models and Analysis of Variance
STATS 205	Introduction to Nonparametric Statistics
STATS 215	Statistical Models in Biology
One additional Engineering Fundamental 4
Informatics Core (three courses):
CS 145	Data Management and Data Systems
or CS 147	Introduction to Human-Computer Interaction Design
CS 221	Artificial Intelligence: Principles and Techniques
or CS 228	Probabilistic Graphical Models: Principles and Techniques
or CS 229	Machine Learning
One additional course from the previous two lines
Informatics Electives (three courses) 5,6
Cellular Electives (two courses) 5,6
Organs Electives (two courses) 5,6		6-10
Organs/Organisms Concentration
Mathematics (select one of the following):
CME 100	Vector Calculus for Engineers
STATS 141	Biostatistics
MATH 51	Linear Algebra, Multivariable Calculus, and Modern Applications
One additional Engineering Fundamental 4
Biology (two courses):
BIO 112	Human Physiology
CHEM 141	The Chemical Principles of Life I (or BIOE 220)
Two additional Organs Electives 5,6
Simulation Electives (two courses) 5,6
Informatics Electives (two courses) 5,6
Simulation, Informatics, or Organs Elective (one course) 5,6
Simulation Concentration
Mathematics:
CME 100	Vector Calculus for Engineers
or MATH 51	Linear Algebra, Multivariable Calculus, and Modern Applications
ME 30	Engineering Thermodynamics (Fulfills 2nd Engineering Fundamental)	3
Simulation Core:
CME 102	Ordinary Differential Equations for Engineers	5
or MATH 53	Ordinary Differential Equations with Linear Algebra
ENGR 80	Introduction to Bioengineering (Engineering Living Matter)	4
BIOE 101	Systems Biology	3
BIOE 103	Systems Physiology and Design	4
Simulation Electives (two courses) 5, 6
Cellular Elective (one course) 5,6
Organs Elective (one course) 5,6
Simulation, Cellular, or Organs Elective (two courses) 5,6
Total Units		90-104

1	Acceptable substitutes for CS 109 are STATS 116 Theory of Probability, MS&E 120 Introduction to Probability, MS&E 220 Probabilistic Analysis, EE 178 Probabilistic Systems Analysis, MATH 151, and CME 106 Introduction to Probability and Statistics for Engineers .
2	Research projects require pre-approval of BMC Coordinators
3	Research units taken as CS 191W Writing Intensive Senior Project or in conjunction with ENGR 199W Writing of Original Research for Engineers fulfill the Writing in the Major (WIM) requirement. CS 272 Introduction to Biomedical Informatics Research Methodology, which does not have to be taken in conjunction with research, also fulfills the WIM requirement.
4	One 3-5 unit course required; CS 106A Programming Methodology may not be used. See Engineering Fundamentals list in Handbook for Undergraduate Engineering Programs or on Approved Courses page at ughb.stanford.edu.
5	The list of electives is continually updated to include all applicable courses. For the current list of electives, see http://bmc.stanford.edu.
6	A course may only be counted towards one elective or core requirement; it may not be double-counted. All courses taken for the major must be taken for a letter grade if that option is offered by the instructor. Minimum Combined GPA for all courses in Engineering Topics (Engineering Fundamentals and Depth courses) is 2.0.
7	A total of 40 Engineering Fundamentals and Core/Depth units must be taken. The core classes only provide 27 Engineering units, so the remaining units must be taken from within the electives.

Honors Program

The Biomedical Computation program offers an honors option for qualified students, resulting in a B.S. with Honors degree in Engineering (ENGR-BSH, Biomedical Computation). An honors project is meant to be a substantial research project during the later part of a student’s undergraduate career, culminating in a final written and oral presentation describing the student’s project and its significance. There is no limit to the number of majors who can graduate with honors; any BMC major who is interested and meets the qualifications is considered.

1. Students apply by submitting the Honors Program Application Webform found on the BMC website and should be prepared to upload a 1-2 page proposal describing the problem the student has chosen to investigate, its significance, and the student’s research plan. This plan must be endorsed by the student’s research and academic advisers, one of whom must be a member of the Academic Council. In making its decision, the department evaluates the overall scope and significance of the student’s proposed work.
2. Students must maintain a 3.5 GPA.
3. Students must complete three quarters of research. All three quarters must be on the same project with the same adviser. A Summer Quarter counts as one quarter of research.
   • Ideally, funding should not be obtained through summer research college sources, but rather through the UAR’s Student Grants Program. In no case can the same work be double-paid by two sources.
4. Students must complete a substantial write-up of the research in the format of a publishable research paper. This research paper is expected to be approximately 20-30 pages and must be approved by the student’s research adviser and by a second reader.
5. Students submit an electronic pdf of their thesis, including the signature page signed by both readers, to Bioengineering student services. Students should review deadlines on the BMC website.  Students are sent email instructions on how to archive a permanent electronic copy in Terman Engineering library.
6. As the culmination of the honors project, each student presents their results in the Bioengineering Honors Poster Fair in spring quarter of their senior year.

For additional information and sample programs, see the Handbook for Undergraduate Engineering Programs (UGHB).

Chemical Engineering

Completion of the undergraduate program in Chemical Engineering leads to the conferral of the Bachelor of Science in Chemical Engineering.

Mission of the Undergraduate Program in Chemical Engineering

Chemical engineers are responsible for the conception and design of processes for the purpose of production, transformation, and transportation of materials. This activity begins with experimentation in the laboratory and is followed by implementation of the technology in full-scale production. The mission of the undergraduate program in Chemical Engineering is to develop students' understanding of the core scientific, mathematical, and engineering principles that serve as the foundation underlying these technological processes. The program's core mission is reflected in its curriculum which is built on a foundation in the sciences of chemistry, physics, and biology. Course work includes the study of applied mathematics, material and energy balances, thermodynamics, fluid mechanics, energy and mass transfer, separations technologies, chemical reaction kinetics and reactor design, and process design. The program provides students with excellent preparation for careers in the corporate sector and government, or for graduate study.

Requirements

Course List

		Units
Mathematics (24-30 units) 1		10
The following sequence or approved AP credit
MATH 19	Calculus
MATH 20	Calculus
MATH 21	Calculus
Select one of the following:		5-10
CME 100	Vector Calculus for Engineers
MATH 51 & MATH 52	Linear Algebra, Multivariable Calculus, and Modern Applications and Integral Calculus of Several Variables
Select one of the following:		5
CME 102	Ordinary Differential Equations for Engineers
or MATH 53	Ordinary Differential Equations with Linear Algebra
Select one of the following:		4-5
CME 104	Linear Algebra and Partial Differential Equations for Engineers
or CME 106	Introduction to Probability and Statistics for Engineers
Science (23-29 units) 1
CHEM 31M	Chemical Principles: From Molecules to Solids	5
CHEM 33	Structure and Reactivity of Organic Molecules	5
CHEM 121	Understanding the Natural and Unnatural World through Chemistry	5
PHYSICS 41	Mechanics	4
or PHYSICS 41E	Mechanics, Concepts, Calculations, and Context
PHYSICS 43	Electricity and Magnetism	4
Technology in Society (3-5 units)
One course required, see Basic Requirement 4; course chosen must be on the SoE-Approved Courses list at <ughb.stanford.edu> the year taken.		3-5
Engineering Fundamentals (7-9 units)
Two courses minimum; see Basic Requirement 3
CHEMENG/ENGR 20	Introduction to Chemical Engineering	4
Fundamentals Elective from another School of Engineering department		3-5
See the UGHB for a list of courses.
Chemical Engineering Depth (51 units minimum)
CHEMENG 100	Chemical Process Modeling, Dynamics, and Control	3
CHEMENG 110A	Introduction to Chemical Engineering Thermodynamics 3	3
CHEMENG 110B	Multi-Component and Multi-Phase Thermodynamics	3
CHEMENG 120A	Fluid Mechanics	4
CHEMENG 120B	Energy and Mass Transport	4
CHEMENG 130A	Microkinetics - Molecular Principles of Chemical Kinetics	3
CHEMENG 130B	Introduction to kinetics and reactor design	3
CHEMENG 150	Biochemical Engineering	3
CHEMENG 180	Chemical Engineering Plant Design	4
CHEMENG 181	Biochemistry I	4
CHEMENG 185A	Chemical Engineering Laboratory A (WIM)	5
CHEMENG 185B	Chemical Engineering Laboratory B	5
CHEM 171	Foundations of Physical Chemistry 4	4
Select 1 of the following:		3
CHEMENG 140	Micro and Nanoscale Fabrication Engineering
CHEMENG 142	Basic Principles of Heterogeneous Catalysis with Applications in Energy Transformations
CHEMENG 160	Polymer Science and Engineering
CHEMENG 174	Environmental Microbiology I
CHEMENG 177	Data Science and Machine Learning Approaches in Chemical and Materials Engineering
CHEMENG 183	Biochemistry II
CHEMENG 190	Undergraduate Research in Chemical Engineering
CHEMENG 190H	Undergraduate Honors Research in Chemical Engineering
CHEMENG 196	Creating and Leading New Ventures in Engineering and Science-based Industries
Total Units		108-118

1	Unit count is higher if program includes one or more of the following: MATH 51 and  MATH 52 in lieu of CME 100; or CHEM 31A and CHEM 31B in lieu of CHEM 31M.
2	A course may only be counted towards one requirement; it may not be double-counted. All courses taken for the major must be taken for a letter grade if that option is offered by the instructor. Minimum Combined GPA for all courses in Engineering Fundamentals and Depth is 2.0.
3	Students who completed CHEM 171 prior to academic year 2020-21 may substitute CHEMENG 110A with CHEM 171.
4	Students who completed CHEM 173 prior to academic year 2020-21 may substitute CHEM 171 with CHEM 173.
*	For additional information and sample programs, see the Handbook for Undergraduate Engineering Programs (UGHB)

Honors Program in Chemical Engineering

The Department of Chemical Engineering offers a program leading to the degree of Bachelor of Science in Chemical Engineering with Honors. Qualified undergraduate majors conduct independent study and research at an advanced level with faculty mentors, graduate students, and fellow undergraduates. This three quarter sequential program requires concurrent participation each quarter in the CHEMENG 191H Undergraduate Honors Seminar; completion of a faculty-approved thesis; and participation in the Chemical Engineering Honors Poster Session held annually during the Mason Lecture Series Spring Quarter. The last requirement may be fulfilled through an alternative, public, oral presentation with the approval of the department chair. A research proposal/application must be submitted at least five quarters prior to graduation with work to begin at a minimum of four quarters prior to graduation.

Admission to the honors program is by application and submission of a research proposal and is subject to approvals by faculty advisers, sponsors, and the chair of the department. Declared Chemical Engineering majors with a cumulative grade point average (GPA) of 3.5 or higher are encouraged to apply. Students must submit their applications no later than the first week in March during Winter Quarter of their junior year, assuming a June degree conferral the following year, e.g. the 2020-2021 deadline is March 1, 2021. An application includes a Stanford transcript in addition to the research proposal, approved by both the student's research thesis adviser, a faculty reader, and, if required, a chemical engineering faculty sponsor. The research adviser or the reader or, alternatively, a faculty sponsor, must be a faculty member in the Department of Chemical Engineering. Students must start their research no later than Spring Quarter their junior year and are encouraged to consider incorporating research opportunities such as those sponsored by Undergraduate Academic Life into their honors research proposal; see http://ual.stanford.edu/OO/research_opps/Grants. See departmental student services staff in Shriram Center room 129, for more information about the application process, a proposal template, and other assistance.

In order to receive departmental honors, students admitted to the honors program must:

1. Maintain an overall grade point average (GPA) of at least 3.5 as calculated on the unofficial transcript.
2. Complete at least three quarters of research with an aggregate enrollment of a minimum of nine units in CHEMENG 190H Undergraduate Honors Research in Chemical Engineering for a letter grade; up to three units may be used towards the Chemical Engineering depth elective requirements. All quarters must focus on the same topic. The same faculty adviser and faculty reader should be maintained throughout if feasible.
3. Enroll in CHEMENG 191H Undergraduate Honors Seminar, concurrently with each quarter of enrollment in CHEMENG 190H Undergraduate Honors Research in Chemical Engineering.
4. Participate with a poster and oral presentation of thesis work at the Chemical Engineering Honors Poster Session held during the Mason Lectures week, Spring Quarter, or, at the Undergraduate Program Committee’s discretion, at a comparable public event. Submit at the same time to student services one copy of the poster in electronic format.
5. Submit final drafts of a thesis simultaneously to the adviser and the reader and, if appropriate, to the Chemical Engineering faculty sponsor, no later than April 5, 2021, or the first school day of the second week of the quarter in which the degree is to be conferred.
6. Complete all work and thesis revisions and obtain indicated faculty approvals on the Certificate of Final Reading of Thesis forms by April 30, 2021, or the end of the first month of the graduation quarter.
7. Submit to departmental student services one (1) final copy of the honors thesis, as approved by the appropriate faculty. Include in each thesis an original, completed, faculty signature sheet immediately following the title page. The 2020-2021 deadline is May 3, 2021.
8. Submit to student services a copy of the honors thesis in electronic format at the same time as the final copy of the thesis.

Upon faculty approval, departmental student services to submit one electronic copy of each honors thesis to Student Affairs, School of Engineering.

Civil Engineering (CE)

Completion of the undergraduate program in Civil Engineering leads to the conferral of the Bachelor of Science in Civil Engineering.

Mission of the Undergraduate Program in Civil Engineering

The mission of the undergraduate program in Civil Engineering is to provide students with the principles of engineering and the methodologies necessary for civil engineering practice. This pre-professional program balances the fundamentals common to many specialties in civil engineering and allows for concentration in any of seven areas: structures, construction, environmental, energy/climate, fluid mechanics/hydrology, urban systems, or sensors/analytics.  Students in the major learn to apply knowledge of mathematics, science, and civil engineering to conduct experiments, design structures and systems to creatively solve engineering problems, and communicate their ideas effectively.  The major prepares students for careers in consulting, industry and government, as well as for graduate studies in engineering.

Requirements

Course List

		Units
Mathematics and Science		45
45 units minimum; see Basic Requirement 1 and 2 1
Technology in Society
One course required
CEE 102A	Legal / Ethical Principles in Design, Construction, Project Delivery	3
Engineering Fundamentals
Two courses required
ENGR 14	Intro to Solid Mechanics	3
ENGR 90/CEE 70	Environmental Science and Technology	3
Engineering Depth
Minimum of 68 Engineering Fundamentals plus Engineering Depth; see Basic Requirement 5
CEE 100	Managing Sustainable Building Projects 2	4
CS 106A	Programming Methodology (or CS 106B, CS 106X, CEE 101D)	5
ME 30	Engineering Thermodynamics (or CHEMENG 110A)	3
CEE 146S	Engineering Economics and Sustainability	3
CEE 183	Integrated Civil Engineering Design Project ( Senior Capstone Design Course)	4
Focus Area Electives: at least 12 units in 1 major focus are, + at least 6 units each in 3 other focus areas (see below; no double counting) 4		30
Additional CEE elective units (either select from focus areas below, from additional approved courses (see Footnote 5), or must be pre-approved by CEE Curriculum Comm.)		13
Total Units		116

1	Mathematics must include CME 100 Vector Calculus for Engineers and CME 102 Ordinary Differential Equations for Engineers (or MATH 51 Linear Algebra, Multivariable Calculus, and Modern Applications and Differential Calculus of Several Variables and MATH 53 Ordinary Differential Equations with Linear Algebra) and a Statistics course (STATS 101 Data Science 101 or STATS 110 Statistical Methods in Engineering and the Physical Sciences or CME 106 Introduction to Probability and Statistics for Engineers or CEE 203 Probabilistic Models in Civil Engineering). Science must include PHYSICS 41 Mechanics (or PHYSICS 41E Mechanics, Concepts, Calculations, and Context); either PHYSICS 43 Electricity and Magnetism or PHYSICS 45 Light and Heat; either CHEM 31A Chemical Principles I or CHEM 31M Chemical Principles: From Molecules to Solids; at least one of CEE 177 Aquatic Chemistry and Biology (required for major focus in fluid mechanics/hydrology or environmental quality) or GEOLSCI 1 Introduction to Geology (required for major focus in structural, construction, urban systems, energy/climate or sensing/analytics); and additional physics, chemistry or mathematics to reach 45 units.
2	CEE 100 meets the Writing in the Major (WIM) requirement
3	A course may only be counted towards one requirement; it may not be double-counted. All courses taken for the major must be taken for a letter grade if that option is offered by the instructor. Minimum Combined GPA for all courses in Engineering Fundamentals and Depth is 2.0.
4	To satisfy ABET criteria, electives must include at least 2 of the following 4 courses: CEE 101A, 101B, 101C, 101D.
5	Preapproved courses for additional CEE elective units: ENGR 10, 15, 21, 25E, 40M (or 40A), 50 (or 50E or 50M); CEE 74N, 80N; and up to 4 units of CEE 199 or CEE 199L.

Construction Engineering Focus

Course List

		Units
CEE 120A	Building Modeling for Design & Construction	3
CEE 122A & CEE 122B	Computer Integrated Architecture/Engineering/Construction and Computer Integrated A/E/C (each quarter = 2 units; must take both quarters)	4
CEE 131C	How Buildings are Made -- Materiality and Construction Methods	4
CEE 141A	Infrastructure Project Development	3
CEE 141B	Infrastructure Project Delivery	3
CEE 144	Design and Innovation for the Circular Economy	3
CEE 241	Managing Fabrication and Construction	4

Energy and Climate Focus

Course List

		Units
CEE 63	Weather and Storms	3
CEE 64	Air Pollution and Global Warming: History, Science, and Solutions	3
CEE 107A	Understanding Energy (or CEE 107S)	3-5
CEE 107R	E^3: Extreme Energy Efficiency	3
CEE 156	Building Systems Design & Analysis	4
CEE 172	Air Quality Management	3
CEE 176A	Energy Efficient Buildings	3
CEE 176B	100% Clean, Renewable Energy and Storage for Everything	3-4

Environmental Fluid Mechanics & Hydrology Focus

Course List

		Units
CEE 101B	Mechanics of Fluids	4
CEE 161I	Atmosphere, Ocean, and Climate Dynamics: The Atmospheric Circulation	3
CEE 162D	Introduction to Physical Oceanography	4
CEE 162F	Coastal Processes	3
CEE 162I	Atmosphere, Ocean, and Climate Dynamics: the Ocean Circulation	3
CEE 166A	Watershed Hydrologic Processes and Models	3
CEE 166B	Water Resources and Hazards	3
CEE 175A	California Coast: Science, Policy, and Law	3-4

Environmental Quality Engineering for Human Health Focus

Course List

		Units
CEE 172	Air Quality Management	3
CEE 174A	Providing Safe Water for the Developing and Developed World	3
CEE 174B	Wastewater Treatment: From Disposal to Resource Recovery	3
CEE 175A	California Coast: Science, Policy, and Law (alt. years)	3-4
CEE 178	Introduction to Human Exposure Analysis	3
CEE 265D	Water and Sanitation in Developing Countries	3

Sensing, Analytics and Control Focus

Course List

		Units
CEE 101D	Computations in Civil and Environmental Engineering	3
CEE 154	Data Analytics for Physical Systems	3-4
CEE 155	Introduction to Sensing Networks for CEE	3-4
CEE 156	Building Systems Design & Analysis	3
CEE 177L	Smart Cities & Communities	3
ME 161	Dynamic Systems, Vibrations and Control	3-4
ME 210	Introduction to Mechatronics	4

Structural Engineering and Mechanics Focus

Course List

		Units
CEE 101A	Mechanics of Materials	4
CEE 101C	Geotechnical Engineering	4
CEE 101D	Computations in Civil and Environmental Engineering	3
CEE 180	Structural Analysis	4
CEE 182	Structural Design	4
CEE 192	Properties of Rocks and Geomaterials	3-4
ME 151	Introduction to Computational Mechanics	4

Urban Systems Focus

Course List

		Units
CEE 120A	Building Modeling for Design & Construction	3
CEE 130	Architectural Design: 3-D Modeling, Methodology, and Process	5
CEE 156	Building Systems Design & Analysis	4
CEE 176A	Energy Efficient Buildings	3-4
CEE 177L	Smart Cities & Communities	3
CEE 243	Intro to Urban Sys Engrg	3

Honors Program

This program leads to a B.S. with honors for undergraduates majoring in Civil Engineering or in Environmental Systems Engineering. It is designed to encourage qualified students to undertake a more intensive study of civil and environmental engineering than is required for the normal majors through a substantial, independent research project.

The program involves an in-depth research study in an area proposed to and agreed to by a Department of Civil and Environmental Engineering faculty adviser and completion of a thesis of high quality. A written proposal for the research to be undertaken must be submitted and approved by the faculty adviser in the fourth quarter prior to graduation. At the time of application, the student must have an overall grade point average (GPA) of at least 3.3 for course work at Stanford; this GPA must be maintained to graduation. The thesis is supervised by a CEE faculty adviser and must involve input from the School of Engineering writing program by means of ENGR 202S Directed Writing Projects or ENGR 199W Writing of Original Research for Engineers. The written thesis must be approved by the thesis adviser. Students are encouraged to present their results in a seminar for faculty and students. Up to 10 units of CEE 199H Undergraduate Honors Thesis, may be taken to support the research and writing (not to duplicate ENGR 202S or ENGR 199W). These units are beyond the normal Civil Engineering or Environmental Systems Engineering major program requirements.

For additional information on the major, minor, honors and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB).

Computer Science (CS)

Completion of the undergraduate program in Computer Science leads to the conferral of the Bachelor of Science in Computer Science.

Mission of the Undergraduate Program in Computer Science

The mission of the undergraduate program in Computer Science is to develop students' breadth of knowledge across the subject areas of computer science, including their ability to apply the defining processes of computer science theory, abstraction, design, and implementation to solve problems in the discipline. Students take a set of core courses. After learning the essential programming techniques and the mathematical foundations of computer science, students take courses in areas such as programming techniques, automata and complexity theory, systems programming, computer architecture, analysis of algorithms, artificial intelligence, and applications. The program prepares students for careers in government, law, the corporate sector, and for graduate study.

Requirements

Mathematics (26 units minimum)—

Course List

		Units
CS 103	Mathematical Foundations of Computing	5
CS 109	Introduction to Probability for Computer Scientists	5
MATH 19	Calculus 1	3
MATH 20	Calculus 1	3
MATH 21	Calculus 1	4
Plus two electives 2

Science (11 units minimum)—

Course List

		Units
PHYSICS 41	Mechanics	4
or PHYSICS 21	Mechanics, Fluids, and Heat
or PHYSICS 41E	Mechanics, Concepts, Calculations, and Context
PHYSICS 43	Electricity and Magnetism	4
or PHYSICS 23	Electricity, Magnetism, and Optics
Science elective 3		3

Technology in Society (3-5 units)—

Course List

One course; course chosen must be on the SoE Approved Courses list at https://ughb.stanford.edu/ the year taken; see Basic Requirements 4 in the School of Engineering section

Engineering Fundamentals (13 units minimum; see Basic Requirement 3 in the School of Engineering section)—

Course List

		Units
CS 106B	Programming Abstractions	5
or CS 106X	Programming Abstractions
ENGR 40M	An Intro to Making: What is EE (or ENGR 40A and ENGR 40B)	3-5
Fundamentals Elective (May be an ENGR fundamentals or an additional CS Depth course. See Fig. 3-4 in the UGHB for approved ENGR fundamentals list. May not be any CS 106)		3-5
*Students who take ENGR 40A or 40M for fewer than 5 units are required to take 1-2 additional units of ENGR Fundamentals (13 units minimum), or 1-2 additional units of Depth.

Writing in the Major—

Course List

		Units
Select one of the following:
CS 181W	Computers, Ethics, and Public Policy
CS 182W	Ethics, Public Policy, and Technological Change
CS 191W	Writing Intensive Senior Project
CS 194W	Software Project
CS 210B	Software Project Experience with Corporate Partners
CS 294W	Writing Intensive Research Project in Computer Science

Computer Science Core (15 units)—

Course List

		Units
CS 107	Computer Organization and Systems	5
or CS 107E	Computer Systems from the Ground Up
CS 110	Principles of Computer Systems	5
or CS 111	Operating Systems Principles
CS 161	Design and Analysis of Algorithms	5

Senior Project (3 units)—

Course List

		Units
CS 191	Senior Project 7
CS 191W	Writing Intensive Senior Project 7
CS 194	Software Project
CS 194H	User Interface Design Project
CS 194W	Software Project
CS 210B	Software Project Experience with Corporate Partners
CS 294S	Research Project in Software Systems and Security
CS 294W	Writing Intensive Research Project in Computer Science

Computer Science Depth B.S.

Choose one of the following ten CS degree tracks (a track must consist of at least 25 units and 7 classes):

Artificial Intelligence Track—

Course List

		Units
CS 221	Artificial Intelligence: Principles and Techniques	4
Select two courses, each from a different area:
Area I, AI Methods:
CS 228	Probabilistic Graphical Models: Principles and Techniques
CS 229	Machine Learning
CS 234	Reinforcement Learning
CS 238	Decision Making under Uncertainty
Area II, Natural Language Processing:
CS 124	From Languages to Information
CS 224N	Natural Language Processing with Deep Learning
CS 224S	Spoken Language Processing
CS 224U	Natural Language Understanding
Area III, Vision:
CS 131	Computer Vision: Foundations and Applications
CS 231A	Computer Vision: From 3D Reconstruction to Recognition
CS 231N	Convolutional Neural Networks for Visual Recognition
Area IV, Robotics:
CS 223A	Introduction to Robotics
CS 237A	Principles of Robot Autonomy I
Select one additional course from the Areas above or from the following:
AI Methods:
CS 157	Computational Logic
CS 205L	Continuous Mathematical Methods with an Emphasis on Machine Learning
CS 230	Deep Learning
CS 236	Deep Generative Models
STATS 315A	Modern Applied Statistics: Learning
STATS 315B	Modern Applied Statistics: Data Mining
Comp Bio:
CS 235	Computational Methods for Biomedical Image Analysis and Interpretation
CS 279	Computational Biology: Structure and Organization of Biomolecules and Cells
CS 371	Computational Biology in Four Dimensions
Information and the Web:
CS 276	Information Retrieval and Web Search
CS 224W	Machine Learning with Graphs
Other:
CS 151	Logic Programming
CS 227B	General Game Playing
CS 379	Interdisciplinary Topics (Offered occasionally)
Robotics and Control:
CS 327A	Advanced Robotic Manipulation
CS 329	Topics in Artificial Intelligence (with advisor approval)
ENGR 205	Introduction to Control Design Techniques
MS&E 251	Introduction to Stochastic Control with Applications
MS&E 351	Dynamic Programming and Stochastic Control
Track Electives: at least three additional courses selected from the Areas and lists above, general CS electives, or the courses listed below. Students can replace one of these electives with a course found at https://cs.stanford.edu/explore: 5
CS 237B	Principles of Robot Autonomy II
CS 257	Logic and Artificial Intelligence
CS 275	Translational Bioinformatics
CS 326	Topics in Advanced Robotic Manipulation
CS 330	Deep Multi-task and Meta Learning
CS 336
CS 338	Physical Human Robot Interaction
CS 398	Computational Education
CS 428	Computation and Cognition: The Probabilistic Approach
EE 263	Introduction to Linear Dynamical Systems
EE 278	Introduction to Statistical Signal Processing
EE 364A	Convex Optimization I
EE 364B	Convex Optimization II
ECON 286	Game Theory and Economic Applications
MS&E 252	Decision Analysis I: Foundations of Decision Analysis
MS&E 352	Decision Analysis II: Professional Decision Analysis
MS&E 355	Influence Diagrams and Probabilistics Networks
PHIL 152	Computability and Logic
PSYCH 204A	Human Neuroimaging Methods
PSYCH 204B	Computational Neuroimaging
PSYCH 209	Neural Network Models of Cognition
STATS 200	Introduction to Statistical Inference
STATS 202	Data Mining and Analysis
STATS 205	Introduction to Nonparametric Statistics

Biocomputation Track—

Course List

		Units
The Mathematics, Science, and Engineering Fundamentals requirements are non-standard for this track. See Handbook for Undergraduate Engineering Programs for details.
Select one of the following:		3-4
CS 221	Artificial Intelligence: Principles and Techniques
CS 228	Probabilistic Graphical Models: Principles and Techniques
CS 229	Machine Learning
CS 231A	Computer Vision: From 3D Reconstruction to Recognition
Select one of the following:
CS 235	Computational Methods for Biomedical Image Analysis and Interpretation
CS 270	Modeling Biomedical Systems
CS 273A	The Human Genome Source Code
CS 274	Representations and Algorithms for Computational Molecular Biology
CS 275	Translational Bioinformatics
CS 279	Computational Biology: Structure and Organization of Biomolecules and Cells
One additional course from the lists above or the following:		3-4
CS 124	From Languages to Information
CS 145	Data Management and Data Systems
CS 147	Introduction to Human-Computer Interaction Design
CS 148	Introduction to Computer Graphics and Imaging
CS 248	Interactive Computer Graphics
One course selected from the following:		3-4
CS 108	Object-Oriented Systems Design	4
CS 124	From Languages to Information	3-4
CS 131	Computer Vision: Foundations and Applications	3-4
CS 140	Operating Systems and Systems Programming 4	3-4
or CS 140E	Operating systems design and implementation
CS 142	Web Applications	3
CS 143	Compilers	3-4
CS 144	Introduction to Computer Networking	3-4
CS 145	Data Management and Data Systems	3-4
CS 146	Introduction to Game Design and Development	3
CS 147	Introduction to Human-Computer Interaction Design	3-5
CS 148	Introduction to Computer Graphics and Imaging	3-4
CS 149	Parallel Computing	3-4
CS 151	Logic Programming	3
CS 154	Introduction to the Theory of Computation	3-4
CS 155	Computer and Network Security	3
CS 157	Computational Logic	3
or PHIL 151	Metalogic
CS 163	The Practice of Theory Research	3
CS 166	Data Structures	3-4
CS 168	The Modern Algorithmic Toolbox	3-4
CS 190	Software Design Studio	3-4
CS 195	Supervised Undergraduate Research (4 units max)	3-4
CS 197	Computer Science Research	4
CS 205L	Continuous Mathematical Methods with an Emphasis on Machine Learning	3
CS 210A	Software Project Experience with Corporate Partners	3-4
CS 217	Hardware Accelerators for Machine Learning	3-4
CS 221	Artificial Intelligence: Principles and Techniques	3-4
CS 223A	Introduction to Robotics	3
CS 224N	Natural Language Processing with Deep Learning	3-4
CS 224S	Spoken Language Processing	2-4
CS 224U	Natural Language Understanding	3-4
CS 224W	Machine Learning with Graphs	3-4
CS 225A	Experimental Robotics	3
CS 227B	General Game Playing	3
CS 228	Probabilistic Graphical Models: Principles and Techniques	3-4
CS 229	Machine Learning	3-4
CS 229M	Machine Learning Theory	3
CS 230	Deep Learning	3-4
CS 231A	Computer Vision: From 3D Reconstruction to Recognition	3-4
CS 231N	Convolutional Neural Networks for Visual Recognition	3-4
CS 232	Digital Image Processing	3
CS 233	Geometric and Topological Data Analysis	3
CS 234	Reinforcement Learning	3
CS 235	Computational Methods for Biomedical Image Analysis and Interpretation	3-4
CS 236	Deep Generative Models	3
CS 237A	Principles of Robot Autonomy I	3-5
CS 237B	Principles of Robot Autonomy II	3-4
CS 238	Decision Making under Uncertainty	3-4
CS 240	Advanced Topics in Operating Systems	3
CS 240LX	Advanced Systems Laboratory, Accelerated	3
CS 242	Programming Languages	3
CS 243	Program Analysis and Optimizations	3-4
CS 244	Advanced Topics in Networking	3-4
CS 244B	Distributed Systems	3
CS 245	Principles of Data-Intensive Systems	3
CS 246	Mining Massive Data Sets	3-4
CS 247	(Any suffix)	3-4
CS 248	Interactive Computer Graphics	3-4
CS 251	Cryptocurrencies and blockchain technologies	3
CS 252	Analysis of Boolean Functions	3
CS 254	Computational Complexity	3
CS 254B	Computational Complexity II	3
CS 255	Introduction to Cryptography	3
CS 261	Optimization and Algorithmic Paradigms	3
CS 263	Counting and Sampling	3
CS 265	Randomized Algorithms and Probabilistic Analysis	3
CS 269Q	Elements of Quantum Computer Programming	3
CS 269I	Incentives in Computer Science (Not Given This Year)	3
CS 270	Modeling Biomedical Systems	3
CS 271	Artificial Intelligence in Healthcare	3-4
CS 272	Introduction to Biomedical Informatics Research Methodology	3-5
CS 273A	The Human Genome Source Code	3
CS 273B	Deep Learning in Genomics and Biomedicine	3
CS 274	Representations and Algorithms for Computational Molecular Biology	3-4
CS 275	Translational Bioinformatics	4
CS 276	Information Retrieval and Web Search	3
CS 278	Social Computing	3
CS 279	Computational Biology: Structure and Organization of Biomolecules and Cells	3
CS 330	Deep Multi-task and Meta Learning	3
CS 336	(Robot Perception and Decision Making: not offered this year)
CS 348	(any suffix)
CS 351	Open Problems in Coding Theory	3
CS 352	Pseudo-Randomness	3-4
CS 369L	Algorithmic Perspective on Machine Learning	3
CS 371	Computational Biology in Four Dimensions	3
CS 398	Computational Education	4
CME 108	Introduction to Scientific Computing	3
EE 180	Digital Systems Architecture	4
EE 263	Introduction to Linear Dynamical Systems	3
EE 282	Computer Systems Architecture	3
EE 364A	Convex Optimization I	3
BIOE 101	Systems Biology	3
MS&E 152	Introduction to Decision Analysis	3-4
MS&E 252	Decision Analysis I: Foundations of Decision Analysis	3-4
STATS 206	Applied Multivariate Analysis	3
STATS 315A	Modern Applied Statistics: Learning	3
STATS 315B	Modern Applied Statistics: Data Mining	3
GENE 211	Genomics	3
One course from the following:		3-5
CS 145	Data Management and Data Systems	3-4
CS 147	Introduction to Human-Computer Interaction Design	3-5
CS 221	Artificial Intelligence: Principles and Techniques	3-4
CS 228	Probabilistic Graphical Models: Principles and Techniques	3-4
CS 229	Machine Learning	3-4
CS 235	Computational Methods for Biomedical Image Analysis and Interpretation	3-4
CS 270	Modeling Biomedical Systems	3
CS 271	Artificial Intelligence in Healthcare	3-4
CS 273A	The Human Genome Source Code	3
CS 273B	Deep Learning in Genomics and Biomedicine	3
CS 274	Representations and Algorithms for Computational Molecular Biology	3-4
CS 275	Translational Bioinformatics	4
CS 279	Computational Biology: Structure and Organization of Biomolecules and Cells	3
CS 371	Computational Biology in Four Dimensions	3
EE 263	Introduction to Linear Dynamical Systems	3
EE 364A	Convex Optimization I	3
MS&E 152	Introduction to Decision Analysis	3-4
MS&E 252	Decision Analysis I: Foundations of Decision Analysis	3-4
STATS 206	Applied Multivariate Analysis	3
STATS 315A	Modern Applied Statistics: Learning	3
STATS 315B	Modern Applied Statistics: Data Mining	3
GENE 211	Genomics	3
One course selected from the list above or the following:
CHEMENG 150	Biochemical Engineering	3
CHEMENG 174	Environmental Microbiology I	3
APPPHYS 294	Cellular Biophysics	3
BIO 104	Advance Molecular Biology: Epigenetics and Proteostasis	5
BIO 118	(Not Given This Year)	4
BIO 214	Advanced Cell Biology	4
BIO 230	Molecular and Cellular Immunology	4
CHEM 141	The Chemical Principles of Life I	4
CHEM 171	Foundations of Physical Chemistry	4
BIOC 241	Biological Macromolecules	3-5
One course from the following:
BIOE 220	Introduction to Imaging and Image-based Human Anatomy	3
CHEMENG 150	Biochemical Engineering	3
CHEMENG 174	Environmental Microbiology I	3
CS 235	Computational Methods for Biomedical Image Analysis and Interpretation	3-4
CS 274	Representations and Algorithms for Computational Molecular Biology	3-4
CS 279	Computational Biology: Structure and Organization of Biomolecules and Cells	3
CS 371	Computational Biology in Four Dimensions	3
ME 281	Biomechanics of Movement	3
APPPHYS 294	Cellular Biophysics	3
BIO 104	Advance Molecular Biology: Epigenetics and Proteostasis	5
BIO 112	Human Physiology	4
BIO 118	(Not Given This Year)	4
BIO 158	Developmental Neurobiology	4
BIO 183	Theoretical Population Genetics	3
BIO 214	Advanced Cell Biology	4
BIO 230	Molecular and Cellular Immunology	4
CHEM 171	Foundations of Physical Chemistry	4
CHEM 141	The Chemical Principles of Life I	4
BIOC 241	Biological Macromolecules	3-5
DBIO 210	Developmental Biology	4
GENE 211	Genomics	3
SURG 101	Regional Study of Human Structure	5

Computer Engineering Track—

Course List

		Units
For this track there is a 10 unit minimum for ENGR Fundamentals and a 29 unit minimum for Depth (for track and elective courses)
EE 108	Digital System Design	4
EE 180	Digital Systems Architecture	4
Select two of the following:		8
EE 101A	Circuits I
EE 101B	Circuits II
EE 102A	Signal Processing and Linear Systems I
EE 102B	Signal Processing and Linear Systems II
Satisfy the requirements of one of the following concentrations:
1) Digital Systems Concentration
CS 140	Operating Systems and Systems Programming 4
or CS 140E	Operating systems design and implementation
or CS 143	Compilers
EE 109	Digital Systems Design Lab
EE 271	Introduction to VLSI Systems
Plus two of the following (6-8 units):
CS 140	Operating Systems and Systems Programming (if not counted above) 4
or CS 140E	Operating systems design and implementation
or CS 143	Compilers
CS 144	Introduction to Computer Networking
CS 149	Parallel Computing
CS 190	Software Design Studio
CS 217	Hardware Accelerators for Machine Learning
CS 244	Advanced Topics in Networking
EE 273	Digital Systems Engineering
EE 282	Computer Systems Architecture
2) Robotics and Mechatronics Concentration
CS 205L	Continuous Mathematical Methods with an Emphasis on Machine Learning
CS 223A	Introduction to Robotics
ME 210	Introduction to Mechatronics
ENGR 105	Feedback Control Design
Plus one of the following (3-4 units):
CS 225A	Experimental Robotics
CS 231A	Computer Vision: From 3D Reconstruction to Recognition
ENGR 205	Introduction to Control Design Techniques
ENGR 207B	Linear Control Systems II
3) Networking Concentration
CS 140	Operating Systems and Systems Programming (CS 140E can substitute for CS 140) 4
CS 144	Introduction to Computer Networking
Plus three of the following (9-11 units):
CS 240	Advanced Topics in Operating Systems
or CS 240LX	Advanced Systems Laboratory, Accelerated
CS 241	Embedded Systems Workshop
CS 244	Advanced Topics in Networking
CS 244B	Distributed Systems
EE 179	Analog and Digital Communication Systems

Graphics Track—

Course List

		Units
CS 148	Introduction to Computer Graphics and Imaging	4
CS 244	Advanced Topics in Networking	4
Select one of the following: 6		3-5
CS 205L	Continuous Mathematical Methods with an Emphasis on Machine Learning
CME 104	Linear Algebra and Partial Differential Equations for Engineers (Note: students taking CME 104 are also required to take its prerequisite course, CME 102)
CME 108	Introduction to Scientific Computing
MATH 52	Integral Calculus of Several Variables
MATH 113	Linear Algebra and Matrix Theory
Select two of the following:		6-8
CS 146	Introduction to Game Design and Development
CS 231A	Computer Vision: From 3D Reconstruction to Recognition
or CS 131	Computer Vision: Foundations and Applications
CS 233	Geometric and Topological Data Analysis
CS 348	(Computer Graphics: any suffix)
CS 448	Topics in Computer Graphics
Track Electives: at least two additional courses from the lists above, the general CS electives list, or the courses listed below. Students can replace one of these electives with a course found at: https://cs.stanford.edu/explore: 5		6-8
ARTSTUDI 160	Intro to Digital / Physical Design
ARTSTUDI 170	Photography I: Black and White
ARTSTUDI 179	Digital Art I
CME 302	Numerical Linear Algebra
CME 306	Numerical Solution of Partial Differential Equations
EE 168	Introduction to Digital Image Processing
EE 262	Three-Dimensional Imaging
EE 264	Digital Signal Processing
EE 278	Introduction to Statistical Signal Processing
EE 368	Digital Image Processing
ME 101	Visual Thinking
PSYCH 30	Introduction to Perception
PSYCH 221	Image Systems Engineering

Human-Computer Interaction Track—

Course List

		Units
CS 147	Introduction to Human-Computer Interaction Design	5
CS 247	(Any suffix)	4
CS 347	Human-Computer Interaction: Foundations and Frontiers	4
CS 142	Web Applications	3
Any one of the following:
CS 194H	User Interface Design Project
CS 206	Exploring Computational Journalism
CS 210A	Software Project Experience with Corporate Partners
CS 247	(Any suffix beyond the course used above)
CS 278	Social Computing
Any CS 377 'Topics in HCI' of three or more units
CS 448B	Data Visualization
ME 216M	Introduction to the Design of Smart Products
At least two additional courses from the above areas or the general CS electives list. Students can replace one of these electives with a course found at https://cs.stanford.edu/explore
Optional Elective 5

Information Track—

Course List

		Units
CS 124	From Languages to Information	4
CS 145	Data Management and Data Systems	4
Two courses, from different areas:		6-9
1) Information-based AI applications
CS 224N	Natural Language Processing with Deep Learning
CS 224S	Spoken Language Processing
CS 229	Machine Learning
CS 233	Geometric and Topological Data Analysis
CS 234	Reinforcement Learning
2) Database and Information Systems
CS 140	Operating Systems and Systems Programming 4
or CS 140E	Operating systems design and implementation
CS 142	Web Applications
CS 151	Logic Programming
CS 245	Principles of Data-Intensive Systems
CS 246	Mining Massive Data Sets
CS 341	Project in Mining Massive Data Sets
3) Information Systems in Biology
CS 235	Computational Methods for Biomedical Image Analysis and Interpretation
CS 270	Modeling Biomedical Systems
CS 274	Representations and Algorithms for Computational Molecular Biology
4) Information Systems on the Web
CS 224W	Machine Learning with Graphs
CS 276	Information Retrieval and Web Search
At least three additional courses from the above areas or the general CS electives list. Students can replace one of these electives with a course found at https://cs.stanford.edu/explore 5

Systems Track—

Course List

		Units
CS 140	Operating Systems and Systems Programming 4	4
or CS 140E	Operating systems design and implementation
Select one of the following:		3-4
CS 143	Compilers
EE 180	Digital Systems Architecture
Two additional courses from the list above or the following:		6-8
CS 144	Introduction to Computer Networking
CS 145	Data Management and Data Systems
CS 149	Parallel Computing
CS 155	Computer and Network Security
CS 190	Software Design Studio
CS 217	Hardware Accelerators for Machine Learning
CS 240	Advanced Topics in Operating Systems
or CS 240LX	Advanced Systems Laboratory, Accelerated
CS 242	Programming Languages
CS 243	Program Analysis and Optimizations
CS 244	Advanced Topics in Networking
CS 245	Principles of Data-Intensive Systems
EE 271	Introduction to VLSI Systems
EE 282	Computer Systems Architecture
Track Electives: at least three additional courses selected from the list above, the general CS electives list, or the courses listed below. Students can replace one of these electives with a course found at: https://cs.stanford.edu/explore 5		9-12
CS 241	Embedded Systems Workshop
CS 269Q	Elements of Quantum Computer Programming
CS 316	Advanced Multi-Core Systems
CS 341	Project in Mining Massive Data Sets
CS 344	Topics in Computer Networks (3 or more units, any suffix)
CS 349	Topics in Programming Systems (with permission of undergraduate advisor)
CS 357S	Formal Methods for Computer Systems
CS 448	Topics in Computer Graphics
EE 108	Digital System Design
EE 382C	Interconnection Networks
EE 384A	Internet Routing Protocols and Standards
EE 384C	Wireless Local and Wide Area Networks
EE 384E	Networked Wireless Systems
EE 384S	Performance Engineering of Computer Systems & Networks

Theory Track—

Course List

		Units
CS 154	Introduction to the Theory of Computation	4
Select one of the following:		3
CS 168	The Modern Algorithmic Toolbox
CS 255	Introduction to Cryptography
CS 261	Optimization and Algorithmic Paradigms
CS 265	Randomized Algorithms and Probabilistic Analysis
CS 268	Geometric Algorithms
Two additional courses from the list above or the following:		6-8
CS 143	Compilers
CS 151	Logic Programming
CS 155	Computer and Network Security
CS 157	Computational Logic
or PHIL 151	Metalogic
CS 163	The Practice of Theory Research
CS 166	Data Structures
CS 205L	Continuous Mathematical Methods with an Emphasis on Machine Learning
CS 228	Probabilistic Graphical Models: Principles and Techniques
CS 233	Geometric and Topological Data Analysis
CS 235	Computational Methods for Biomedical Image Analysis and Interpretation
CS 236	Deep Generative Models
CS 242	Programming Languages
CS 250	Algebraic Error Correcting Codes
CS 251	Cryptocurrencies and blockchain technologies
CS 252	Analysis of Boolean Functions
CS 254	Computational Complexity
CS 259	(With permission of undergraduate advisor. Course offered occasionally.)
CS 263	Counting and Sampling
CS 269I	Incentives in Computer Science (Not Given This Year)
CS 351	Open Problems in Coding Theory
CS 354	Topics in Intractability: Unfulfilled Algorithmic Fantasies (Not given this year)
CS 355	Advanced Topics in Cryptography (Not given this year)
CS 357	Advanced Topics in Formal Methods (Not given this year)
CS 358	Topics in Programming Language Theory
CS 359	Topics in the Theory of Computation (with permission of undergraduate advisor)
CS 369	Topics in Analysis of Algorithms (with permission of undergraduate advisor)
MS&E 310	Linear Programming
Track Electives: at least three additional courses from the lists above, the general CS electives list, or the courses listed below. Students can replace one of these electives with a course found at: https://cs.stanford.edu/explore 5		9-12
CS 254B	Computational Complexity II
CS 269G	Almost Linear Time Graph Algorithms
CME 302	Numerical Linear Algebra
CME 305	Discrete Mathematics and Algorithms
PHIL 152	Computability and Logic

Unspecialized Track—

Course List

		Units
CS 154	Introduction to the Theory of Computation	4
Select one of the following:		4
CS 140	Operating Systems and Systems Programming 4
or CS 140E	Operating systems design and implementation
CS 143	Compilers
One additional course from the list above or the following:		3-4
CS 144	Introduction to Computer Networking
CS 155	Computer and Network Security
CS 190	Software Design Studio
CS 242	Programming Languages
CS 244	Advanced Topics in Networking
EE 180	Digital Systems Architecture
Select one of the following:		3-4
CS 221	Artificial Intelligence: Principles and Techniques
CS 223A	Introduction to Robotics
CS 228	Probabilistic Graphical Models: Principles and Techniques
CS 229	Machine Learning
CS 231A	Computer Vision: From 3D Reconstruction to Recognition
Select one of the following:		3-4
CS 145	Data Management and Data Systems
CS 147	Introduction to Human-Computer Interaction Design
CS 148	Introduction to Computer Graphics and Imaging
CS 235	Computational Methods for Biomedical Image Analysis and Interpretation
CS 248	Interactive Computer Graphics
At least two courses from the general CS electives list 5

Individually Designed Track—

Students may propose an individually designed track. Proposals should include a minimum of 25 units and seven courses, at least four of which must be CS courses numbered 100 or above. Proposals must be approved by the faculty advisor and Director of Undergraduate Studies. See Handbook for Undergraduate Engineering Programs for further information.

Footnotes for Track Course Lists

1	MATH 19, MATH 20, and MATH 21, or AP Calculus Credit may be used as long as at least 26 MATH units are taken. AP Calculus Credit must be approved by the School of Engineering.
2	The math electives list consists of: MATH 51, MATH 52, MATH 53, MATH 104, MATH 107, MATH 108, MATH 109, MATH 110, MATH 113; CS 157, CS 205L,  PHIL 151; CME 100, CME 102, CME 104, ENGR 108. Restrictions: CS 157 and PHIL 151 may not be used in combination to satisfy the math electives requirement. Students who have taken both MATH 51 and MATH 52 may not count CME 100 as an elective. Courses counted as math electives cannot also count as CS electives, and vice versa.
3	The science elective may be any course of 3 or more units from the School of Engineering Science list (Fig. 4-2 in the UGHB),  PSYCH 30, or AP Chemistry Credit. Either of the PHYSICS sequences 61/63 or 21/23 may be substituted for 41/43 as long as at least 11 science units are taken. AP Chemistry Credit and AP Physics Credit must be approved by the School of Engineering.
4	CS 111 and CS 140 cannot both be counted towards the BS requirements. However, it is acceptable to count both CS 111 and CS 140E towards the BS requirements.
5	General CS Electives: CS 108, CS 124, CS 131, CS 140 (or  CS 140E), CS 142, CS 143, CS 144, CS 145, CS 146, CS 147, CS 148, CS 149, CS 154, CS 155, CS 157(or PHIL 151), CS 163,  CS 166, CS 168, CS 190, CS 195 (4 units max), CS 197, CS 205L, CS 210A, CS 217, CS 221, CS 223A, CS 224N, CS 224S, CS 224U, CS 224W, CS 225A, CS 227B, CS 228, CS 229, CS 229M, CS 230, CS 231A, CS 231N, CS 232, CS 233, CS 234CS 234CS 234CS 234CS 234CS 234CS 234CS 234CS 234, CS 235, CS 237A, CS 237B, CS 238, CS 240, CS 240LX, CS 242, CS 243, CS 244, CS 244B, CS 245, CS 246, CS 247(any suffix), CS 248, CS 251, CS 252, CS 254, CS 254B, CS 255, CS 261, CS 263, CS 265, CS 269I, CS 269Q,  CS 270, CS 271, CS 272, CS 273A, CS 273B, CS 274, CS 276, CS 278, CS 279, CS 330, CS 336, CS 348 (any suffix), CS 351, CS 352, CS 369L, CS 398, CME 108; EE 180, EE 282.
6	CS 205L is strongly recommended in this list for the Graphics track. Students taking CME 104 Linear Algebra and Partial Differential Equations for Engineers are also required to take its prerequisite, CME 102 Ordinary Differential Equations for Engineers.
7	Independent study projects (CS 191 Senior Project or CS 191W Writing Intensive Senior Project) require faculty sponsorship and must be approved by the adviser, faculty sponsor, and the CS senior project adviser (Patrick Young). A signed approval form, along with a brief description of the proposed project, should be filed the quarter before work on the project is begun. Further details can be found in the Handbook for Undergraduate Engineering Programs (UGHB).
8	A course may only be counted towards one requirement; it may not be double-counted. All courses taken for the major must be taken for a letter grade if that option is offered by the instructor. Minimum Combined GPA for all courses in Engineering Fundamentals and Depth is 2.0.

Additional Information

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB).

Honors Program in Computer Science

The Department of Computer Science (CS) offers an honors program for undergraduates whose academic records and personal initiative indicate that they have the necessary skills to undertake high-quality research in computer science. Admission to the program is by application only. To apply for the honors program, students must be majoring in Computer Science, have a grade point average (GPA) of at least 3.6 in courses that count toward the major, and achieve senior standing (135 or more units) by the end of the academic year in which they apply. Coterminal master’s students are eligible to apply as long as they have not already received their undergraduate degree. Beyond these requirements, students who apply for the honors program must find a Computer Science faculty member who agrees to serve as the thesis adviser for the project. Thesis advisers must be members of Stanford’s Academic Council.

Students who meet the eligibility requirements and wish to be considered for the honors program must submit a written application to the CS undergraduate program office by May 1 of the year preceding the honors work. The application must include a letter describing the research project, a letter of endorsement from the faculty sponsor, and a transcript of courses taken at Stanford. Each year, a faculty review committee selects the successful candidates for honors from the pool of qualified applicants.

In order to receive departmental honors, students admitted to the honors program must, in addition to satisfying the standard requirements for the undergraduate degree, do the following:

1. Complete at least 9 units of CS 191 or CS 191W under the direction of their project sponsor.
2. Attend a weekly honors seminar Winter Quarter.
3. Complete an honors thesis deemed acceptable by the thesis adviser and at least one additional faculty member.
4. Present the thesis at a public colloquium sponsored by the department.
5. Maintain the 3.6 GPA required for admission to the honors program.

Electrical Engineering (EE)

Completion of the undergraduate program in Electrical Engineering leads to the conferral of the Bachelor of Science in Electrical Engineering.

Mission of the Undergraduate Program in Electrical Engineering

The mission of the undergraduate program of the Department of Electrical Engineering is to augment the liberal education expected of all Stanford undergraduates, to impart basic understanding of electrical engineering and to develop skills in the design and building of systems that directly impact societal needs.

The program includes a balanced foundation in the physical sciences, mathematics and computing; core courses in electronics, information systems and digital systems; and develops specific skills in the analysis and design of systems. Students in the major have broad flexibility to select from disciplinary areas beyond the core, including hardware and software, information systems and science, and physical technology and science, as well as electives in multidisciplinary areas, including bio-electronics and bio-imaging, energy and environment and music.

The program prepares students for a broad range of careers—both industrial and government—as well  as for professional and academic graduate education.

Requirements

Course List

		Units
MATHEMATICS AND SCIENCE
Minimum 40 units Math and Science combined.
Mathematics 1
Select one sequence: May also be satisfied with AP Calculus.		10
MATH 19 & MATH 20 & MATH 21	Calculus and Calculus and Calculus
Select one 2-course sequence:		10
CME 100 & CME 102	Vector Calculus for Engineers and Ordinary Differential Equations for Engineers (Same as ENGR 154 and ENGR 155A)
MATH 51 & MATH 53	Linear Algebra, Multivariable Calculus, and Modern Applications and Ordinary Differential Equations with Linear Algebra 2
EE Math. One additional 100-level course. Select one:		3
CS 103	Mathematical Foundations of Computing
ENGR 108	Introduction to Matrix Methods (Preferred) 3
MATH 113	Linear Algebra and Matrix Theory
Statistics/Probability		3-4
EE 178	Probabilistic Systems Analysis 3
Science
Minimum 12 units
Select one sequence:		12
PHYSICS 41 & EE 65	Mechanics and Modern Physics for Engineers 4
PHYSICS 61 & EE 65	Mechanics and Special Relativity and Modern Physics for Engineers 4
Science elective. One additional 4-5 unit course from approved list in Undergraduate Handbook, Figure 4-2.		4-5
TECHNOLOGY IN SOCIETY
One course, see Basic Requirement 4 in the School of Engineering section. The course taken must be on the School of Engineering Approved Courses list, Fig 4-3, the year it is taken.		3-5
ENGINEERING TOPICS
Minimum 60 units comprised of: Engineering Fundamentals (minimum 10 units), Core Electrical Engineering Courses (minimum 16 units) Disciplinary Area (minimum 17 units), Electives (maximum 17 units, restrictions apply).
Engineering Fundamentals		10
2 courses required; minimum 10 units.
Select one:
CS 106B	Programming Abstractions	5
or CS 106X	Programming Abstractions
Choose one Fundamental from the Approved List; Recommended: ENGR 40A and ENGR 40B or ENGR 40M (recommended before taking EE 101A); taking CS 106A or a second ENGR 40-series course not allowed for the Fundamentals elective. Choose from table in Undergraduate Handbook, Approved List.		5
Core Electrical Engineering Courses		16
Minimum 16 units.
EE 42	Introduction to Electromagnetics and Its Applications 5
EE 100	The Electrical Engineering Profession 6
EE 101A	Circuits I
EE 102A	Signal Processing and Linear Systems I
EE 108	Digital System Design
Disciplinary Area		17
Minimum 17 units, 5 courses: 1-2 Required, 1 WIM/Design and 2-3 disciplinary area electives.
Writing in the Major (WIM)		3-5
Select one. A single course can concurrently meet the WIM and Design Requirements.
EE 109	Digital Systems Design Lab (WIM/Design)
EE 133	Analog Communications Design Laboratory (WIM/Design)
EE 134	Introduction to Photonics (WIM/Design)
EE 153	Power Electronics (WIM/Design)
EE 155	Green Electronics (WIM/Design)
EE 168	Introduction to Digital Image Processing (WIM/Design)
EE 191W	Special Studies and Reports in Electrical Engineering (WIM; Department approval required) 7
EE 264W	Digital Signal Processing (WIM/Design)
EE 267W	Virtual Reality (WIM/Design)
CS 194W	Software Project (WIM/Design)
Design Course		3-5
Select one. Students may select their Design course from any Disciplinary Area.
EE 109	Digital Systems Design Lab (WIM/Design)
EE 133	Analog Communications Design Laboratory (WIM/Design)
EE 134	Introduction to Photonics (WIM/Design)
EE 153	Power Electronics (WIM/Design)
EE 155	Green Electronics (WIM/Design)
EE 168	Introduction to Digital Image Processing (WIM/Design)
EE 185C	Engineering a Smart Object - Adding connectivity and Putting it ALL together (Design)
EE 262	Three-Dimensional Imaging (Design)
EE 264	Digital Signal Processing (Design) 8
EE 264W	Digital Signal Processing (WIM/Design)
EE 267	Virtual Reality (Design) 8
EE 267W	Virtual Reality (WIM/Design)
CS 194	Software Project (Design)
CS 194W	Software Project (WIM/Design)
Electives 9		17
Minimum 17 units. The elective units should be sufficient to meet the 60 unit total for the major, over and above the 40 units of Math and Science. Depending on units completed in the Disciplinary Area, elective units will be in the range of 17 units or less. Students may select electives from the disciplinary areas; from the multidisciplinary elective areas; or any combination of disciplinary and multidisciplinary areas. May include up to two additional Engineering Fundamentals and any letter graded EE courses (minus any previously noted restrictions). Freshman and Sophomore seminars, EE 191 and CS 106A do not count toward the 60 units. Students may have fewer elective units if they have more units in their disciplinary area.

1	MATH 41 and MATH 42 are no longer offered and have been replaced by MATH 19, MATH 20, and MATH 21.
2	MATH 51 may be replaced by MATH 52. MATH 53 may be replaced by CME 102.
3	If used for math, ENGR 108 may not be used as an EE disciplinary elective. Students may petition to use CS 109 in place of EE 178.
4	Students may petition to have either PHYSICS 65 or the combination of PHYSICS 45 and PHYSICS 70 count as an alternative to EE 65.
5	Students may petition to use PHYSICS 43 or PHYSICS 63 in place of EE 42. The EE introductory class ENGR 40A and ENGR 40B or ENGR 40M may be taken concurrently with either EE 42 or PHYSICS 43. There are no prerequisites for ENGR 40A and ENGR 40B or ENGR 40M.
6	For upper division students, a 200-level seminar in their disciplinary area will be accepted, on petition.
7	EE 191W may satisfy WIM only if it is a follow-up to an REU,  independent study project or as part of an honors thesis project where a faculty agrees to provide supervision of writing a technical paper and with suitable support from the Writing Center.
8	To satisfy Design, must take EE 264 or EE 267 for 4 units and complete the laboratory project.
9	A course may only be counted towards one requirement; it may not be double-counted. All courses taken for the major must be taken for a letter grade if that option is offered by the instructor. Minimum Combined GPA for all courses in Engineering Fundamentals and Depth is 2.0.

Disciplinary Areas

Course List

		Units
Hardware and Software
EE 180	Digital Systems Architecture (Required)	4
EE 104	Introduction to Machine Learning	3-5
EE 107	Embedded Networked Systems	3
EE 109	Digital Systems Design Lab (WIM/Design)	4
EE 118	Introduction to Mechatronics	4
EE 155	Green Electronics (Design)	4
EE 185C	Engineering a Smart Object - Adding connectivity and Putting it ALL together (Design)	3
EE 264	Digital Signal Processing (Design)	3-4
EE 264W	Digital Signal Processing (WIM/Design)	5
EE 267	Virtual Reality (Design)	3-4
EE 267W	Virtual Reality (WIM/Design)	5
EE 271	Introduction to VLSI Systems	3
EE 272A	Design Projects in VLSI Systems I	3-4
EE 272B	Design Projects in VLSI Systems II	3-4
EE 273	Digital Systems Engineering	3
EE 282	Computer Systems Architecture	3
EE 285	Embedded Systems Workshop	3
CS 107	Computer Organization and Systems (Required prerequisite for EE 180; CS 107E preferred)	3-5
or CS 107E	Computer Systems from the Ground Up
CS 108	Object-Oriented Systems Design	3-4
CS 110	Principles of Computer Systems	3-5
CS 131	Computer Vision: Foundations and Applications	3-4
CS 140	Operating Systems and Systems Programming	3-4
CS 143	Compilers	3-4
CS 144	Introduction to Computer Networking	3-4
CS 145	Data Management and Data Systems	3-4
CS 148	Introduction to Computer Graphics and Imaging	3-4
CS 149	Parallel Computing	3-4
CS 155	Computer and Network Security	3
CS 194W	Software Project (WIM/Design)	3
CS 221	Artificial Intelligence: Principles and Techniques	3-4
CS 223A	Introduction to Robotics	3
CS 224N	Natural Language Processing with Deep Learning	3-4
CS 225A	Experimental Robotics	3
CS 229	Machine Learning	3-4
CS 231A	Computer Vision: From 3D Reconstruction to Recognition	3-4
CS 231N	Convolutional Neural Networks for Visual Recognition	3-4
CS 241	Embedded Systems Workshop	3
CS 244	Advanced Topics in Networking	3-4
Information Systems and Science
EE 102B	Signal Processing and Linear Systems II (Required)	4
EE 104	Introduction to Machine Learning	3-5
EE 107	Embedded Networked Systems	3
EE 118	Introduction to Mechatronics	4
EE 124	Introduction to Neuroelectrical Engineering	3
EE 133	Analog Communications Design Laboratory (WIM/Design)	3-4
EE 155	Green Electronics (WIM/Design)	4
EE 168	Introduction to Digital Image Processing (WIM/Design)	3-4
EE 169	Introduction to Bioimaging	3
EE 179	Analog and Digital Communication Systems	3
EE 260A	Principles of Robot Autonomy I	3-5
EE 260B	Principles of Robot Autonomy II	3-4
EE 261	The Fourier Transform and Its Applications	3
EE 262	Three-Dimensional Imaging (Design)	3
EE 263	Introduction to Linear Dynamical Systems	3
EE 264	Digital Signal Processing (Design)	3-4
EE 264W	Digital Signal Processing (WIM/Design)	5
EE 266	Introduction to Stochastic Control with Applications	3
EE 267	Virtual Reality (Design)	3-4
EE 267W	Virtual Reality (WIM/Design)	5
EE 269	Signal Processing for Machine Learning	3
EE 276	Information Theory	3
EE 278	Introduction to Statistical Signal Processing	3
EE 279	Introduction to Digital Communication	3
ENGR 105	Feedback Control Design	3
ENGR 205	Introduction to Control Design Techniques	3
CS 107	Computer Organization and Systems	3-5
CS 229	Machine Learning	3-4
Physical Technology and Science
EE 101B	Circuits II (Required)	4
EE 107	Embedded Networked Systems	3
EE 114	Fundamentals of Analog Integrated Circuit Design	3-4
EE 116	Semiconductor Devices for Energy and Electronics	3
EE 118	Introduction to Mechatronics	4
EE 124	Introduction to Neuroelectrical Engineering	3
EE 133	Analog Communications Design Laboratory (WIM/Design)	3-4
EE 134	Introduction to Photonics (WIM/Design)	4
EE 142	Engineering Electromagnetics	3
EE 153	Power Electronics (WIM/Design)	3-4
EE 155	Green Electronics (WIM/Design)	4
EE 157	Electric Motors for Renewable Energy, Robotics, and Electric Vehicles	3
EE 212	Integrated Circuit Fabrication Processes	3
EE 214B	Advanced Integrated Circuit Design	3
EE 216	Principles and Models of Semiconductor Devices	3
EE 222	Applied Quantum Mechanics I	3
EE 223	Applied Quantum Mechanics II	3
EE 236A	Modern Optics	3
EE 236B	Guided Waves	3
EE 242	Electromagnetic Waves	3
EE 247	Introduction to Optical Fiber Communications	3
EE 264	Digital Signal Processing (Design)	3-4
EE 264W	Digital Signal Processing (WIM/Design)	5
EE 267	Virtual Reality (Design)	3-4
EE 267W	Virtual Reality (WIM/Design)	5
EE 271	Introduction to VLSI Systems	3
EE 272A	Design Projects in VLSI Systems I	3-4
EE 272B	Design Projects in VLSI Systems II	3-4
EE 273	Digital Systems Engineering	3
EE 282	Computer Systems Architecture	3
ENGR 105	Feedback Control Design	3
ENGR 205	Introduction to Control Design Techniques	3
CS 107	Computer Organization and Systems	3-5

Multidisciplinary Area Electives

Course List

Bio-electronics and Bio-imaging
EE 101B	Circuits II	4
EE 102B	Signal Processing and Linear Systems II	4
EE 107	Embedded Networked Systems	3
EE 124	Introduction to Neuroelectrical Engineering	3
EE 134	Introduction to Photonics (WIM/Design)	4
EE 168	Introduction to Digital Image Processing (WIM/Design)	4
EE 169	Introduction to Bioimaging	3
EE 225	Biochips and Medical Imaging	3
EE 235	Analytical Methods in Biotechnology	3
BIOE 131	Ethics in Bioengineering	3
BIOE 248	Neuroengineering Laboratory	3
MED 275B	Biodesign Fundamentals	4
Energy and Environment
EE 101B	Circuits II	4
EE 116	Semiconductor Devices for Energy and Electronics	3
EE 134	Introduction to Photonics (WIM/Design)	4
EE 153	Power Electronics (WIM/Design)	3-4
EE 155	Green Electronics (WIM/Design)	4
EE 157	Electric Motors for Renewable Energy, Robotics, and Electric Vehicles	3
EE 168	Introduction to Digital Image Processing (WIM/Design)	3-4
EE 180	Digital Systems Architecture	4
EE 263	Introduction to Linear Dynamical Systems	3
EE 293	Energy storage and conversion: Solar Cells, Fuel Cells, Batteries and Supercapacitors	3
EE 293B	Fundamentals of Energy Processes	3
CEE 107A	Understanding Energy (Formerly CEE 173A)	3-5
CEE 155	Introduction to Sensing Networks for CEE	3-4
CEE 176A	Energy Efficient Buildings	3
CEE 176B	100% Clean, Renewable Energy and Storage for Everything	3-4
ENGR 105	Feedback Control Design	3
ENGR 205	Introduction to Control Design Techniques	3
MATSCI 142	Quantum Mechanics of Nanoscale Materials (Formerly MATSCI 157)	4
MATSCI 152	Electronic Materials Engineering	4
MATSCI 156	Solar Cells, Fuel Cells, and Batteries: Materials for the Energy Solution	3-4
ME 227	Vehicle Dynamics and Control	3
ME 271E		4
Music
EE 102B	Signal Processing and Linear Systems II	4
EE 109	Digital Systems Design Lab (WIM/Design)	4
EE 264	Digital Signal Processing (Design)	3-4
EE 264W	Digital Signal Processing (WIM/Design)	5
MUSIC 250A	Physical Interaction Design for Music	3-4
MUSIC 256A	Music, Computing, Design: The Art of Design	3-4
MUSIC 256B	Music, Computing, Design II: Virtual and Augmented Reality for Music	3-4
MUSIC 257	Neuroplasticity and Musical Gaming	3-5
MUSIC 320A	Introduction to Audio Signal Processing Part I: Spectrum Analysis	3
MUSIC 320B	Introduction to Audio Signal Processing Part II: Digital Filters	3-4
MUSIC 420A	Signal Processing Models in Musical Acoustics 2	3-4
MUSIC 421A	Time-Frequency Audio Signal Processing 2	3-4
MUSIC 422	Perceptual Audio Coding 2	3
MUSIC 424	Signal Processing Techniques for Digital Audio Effects 2	3-4

1	ENGR 108 may be used for disciplinary area if not used for EE Math.
2	Best taken as a coterm student.

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB).

Honors Program in Electrical Engineering

The Department of Electrical Engineering offers a program leading to a Bachelor of Science in Electrical Engineering with Honors. This program offers a unique opportunity for qualified undergraduate majors to conduct independent study and research at an advanced level with a faculty mentor, graduate students, and fellow undergraduates.

Admission to the honors program is by application. Declared EE majors with a grade point average (GPA) of at least 3.5 in Electrical Engineering are eligible to submit an application. Applications must be submitted by Autumn Quarter of the senior year, be signed by the thesis advisor and second reader (one must be a member of the EE Faculty), and include an honors proposal. Students need to declare honors on Axess.

In order to receive departmental honors, students admitted to the honors program must:

1. Submit an application, including the thesis proposal, by Autumn Quarter of senior year signed by the thesis advisor and second reader (one must be a member of the Electrical Engineering faculty).
2. Declare the EE Honors major in Axess before the end of Autumn Quarter of senior year.
3. Maintain a grade point average of at least 3.5 in Electrical Engineering courses.
4. Complete at least 10 units of EE 191 or EE 191W with thesis adviser for a letter grade. EE 191 units do not count toward the required 60 units, with the exception of EE 191W if approved to satisfy WIM.
5. Submit one final copy of the honors thesis approved by the advisor and second reader to the EE Degree Progress Officer by May 15.
6. Attend poster and oral presentation held at the end of Spring Quarter or present in another suitable forum approved by the faculty advisor.

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COVID-19-Related Degree Requirement Changes

The Engineering Physics program counts all courses taken in academic year 2020-21 with a grade of 'CR' (credit) or 'S' (satisfactory) towards satisfaction of undergraduate degree requirements that otherwise require a letter grade.

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Engineering Physics (EPHYS)

Completion of the undergraduate program in Engineering Physics leads to the conferral of the Bachelor of Science in Engineering. The subplan "Engineering Physics" appears on the transcript and on the diploma.

Mission of the Undergraduate Program in Engineering Physics

The mission of the undergraduate program in Engineering Physics is to provide students with a strong foundation in physics and mathematics, together with engineering and problem-solving skills. All majors take high-level math and physics courses as well as engineering courses. This background prepares them to tackle complex problems in multidisciplinary areas that are at the forefront of 21st-century technology such as aerospace physics, biophysics, computational science, quantum science & engineering, materials science, nanotechnology, electromechanical systems, renewable energy, and any other engineering field that requires a solid background in physics. Because the program emphasizes science, mathematics, and engineering, students are well prepared to pursue graduate work in engineering, physics, or applied physics.

Requirements

Course List

		Units
Mathematics
Select one of the following sequences:		10
MATH 51 & MATH 52	Linear Algebra, Multivariable Calculus, and Modern Applications and Integral Calculus of Several Variables
CME 100 & CME 104	Vector Calculus for Engineers and Linear Algebra and Partial Differential Equations for Engineers
MATH 53	Ordinary Differential Equations with Linear Algebra	5
or CME 102	Ordinary Differential Equations for Engineers
MATH 131P	Partial Differential Equations (or CME 204 or MATH 173 or MATH 220 or PHYSICS 111)	3
Science
PHYSICS 41	Mechanics (or PHYSICS 61)	4
PHYSICS 42	Classical Mechanics Laboratory (or PHYSICS 62)	1
PHYSICS 43	Electricity and Magnetism (or PHYSICS 63)	4
PHYSICS 67	Introduction to Laboratory Physics 1	2
PHYSICS 45	Light and Heat (or PHYSICS 65)	4
PHYSICS 46	Light and Heat Laboratory (or PHYSICS 67)	1
PHYSICS 70	Foundations of Modern Physics (if taking the 40 series)	4
Technology in Society
One course required; course must be on the School of Engineering Approved List, Fig 4-3 in the UGHB, the year it is taken. See Basic Requirement 4.		3-5
Engineering Fundamentals
Two courses minimum (CS 106A or B recommended) 2		6-10
Engineering Physics Depth (core)
Advanced Mathematics:
One advanced math elective such as		3-5
EE 261	The Fourier Transform and Its Applications
PHYSICS 112	Mathematical Methods for Physics
CS 109	Introduction to Probability for Computer Scientists
CME 106	Introduction to Probability and Statistics for Engineers
Also qualified are EE 263, any Math or Statistics course numbered 100 or above, and any CME course numbered 200 or above, except CME 206.
Advanced Mechanics:		3-4
AA 242A	Classical Dynamics (or ME 333 or PHYSICS 110)	3
Intermediate Electricity and Magnetism		6-8
Select one of the following sequences:
PHYSICS 120 & PHYSICS 121	Intermediate Electricity and Magnetism I and Intermediate Electricity and Magnetism II
EE 142 & EE 242	Engineering Electromagnetics and Electromagnetic Waves
Numerical Methods
Select one of the following:		3-4
CME 108	Introduction to Scientific Computing
CME 206/ME 300C	Introduction to Numerical Methods for Engineering
PHYSICS 113	Computational Physics
Electronics Lab
Select one of the following:		3-5
EE 101A	Circuits I
EE 101B	Circuits II
ENGR 40M	An Intro to Making: What is EE (or ENGR 40A+ENGR 40B; must take both [not offered 2019-20])
PHYSICS 104	Electronics and Introduction to Experimental Methods (2020-21 only)
PHYSICS 105	Intermediate Physics Laboratory I: Analog Electronics
APPPHYS 207	Laboratory Electronics
Writing in the Major (WIM)
Select one of the following:		4-5
AA 190	Directed Research and Writing in Aero/Astro (for Aerospace specialty only)
ENGR 199W	Writing of Original Research for Engineers (for students pursuing an independent research project)
BIOE 131	Ethics in Bioengineering (for Biophysics specialty only)
CS 181W	Computers, Ethics, and Public Policy (for Computational Science specialty or other specialty with prereqs)
CS 182W	Ethics, Public Policy, and Technological Change (for Computational Science specialty or other specialty with prereqs)
EE 134	Introduction to Photonics (for Photonics specialty only. Not offered 2019-20)
MATSCI 161	Energy Materials Laboratory (for Materials Science and Renewable Energy specialties)
MATSCI 164	Electronic and Photonic Materials and Devices Laboratory (for Materials Science and Renewable Energy specialties)
PHYSICS 107	Intermediate Physics Laboratory II: Experimental Techniques and Data Analysis (for Quantum Science & Engineering or other specialty)
Quantum Mechanics
Select one of the following sequences:		6-8
EE 222 & EE 223	Applied Quantum Mechanics I and Applied Quantum Mechanics II
PHYSICS 130 & PHYSICS 131	Quantum Mechanics I and Quantum Mechanics II
Thermodynamics and Statistical Mechanics
PHYSICS 170 & PHYSICS 171	Thermodynamics, Kinetic Theory, and Statistical Mechanics I and Thermodynamics, Kinetic Theory, and Statistical Mechanics II	3-8
or ME 346A	Introduction to Statistical Mechanics
Design Course
Select one of the following:		3-4
AA 236A	Spacecraft Design
CS 108	Object-Oriented Systems Design
EE 133	Analog Communications Design Laboratory
ME 203	Design and Manufacturing
ME 210	Introduction to Mechatronics
PHYSICS 108	Advanced Physics Laboratory: Project
Specialty Tracks
See Undergraduate Engineering Handbook for important details. Select three courses from one specialty area:		9-12
Aerospace Physics:
AA 203	Optimal and Learning-based Control
AA 205	Rarefied and Ionized Gases
AA 244A	Introduction to Plasma Physics and Engineering
AA 251	Introduction to the Space Environment
AA 279A	Space Mechanics
ME 161	Dynamic Systems, Vibrations and Control
Biophysics:
APPPHYS 205	Introduction to Biophysics
BIO 132	Advanced Imaging Lab in Biophysics
BIOE 42	Physical Biology
BIOE 44	Fundamentals for Engineering Biology Lab
BIOE 101	Systems Biology
BIOE 103	Systems Physiology and Design
BIOE 123	Bioengineering Systems Prototyping Lab
BIOE 211	Biophysics of Multi-cellular Systems and Amorphous Computing
BIOE 214	Representations and Algorithms for Computational Molecular Biology
EE 169	Introduction to Bioimaging
or EE 369A	Medical Imaging Systems I
Computational Science:
CME 212	Advanced Software Development for Scientists and Engineers
CME 215A	Advanced Computational Fluid Dynamics
CME 215B	Advanced Computational Fluid Dynamics
Any CME course with course number greater than 300 and less than 390
CS 103	Mathematical Foundations of Computing
CS 154	Introduction to the Theory of Computation
CS 161	Design and Analysis of Algorithms
CS 205L	Continuous Mathematical Methods with an Emphasis on Machine Learning
CS 221	Artificial Intelligence: Principles and Techniques
CS 228	Probabilistic Graphical Models: Principles and Techniques
CS 229	Machine Learning
STATS 202	Data Mining and Analysis
Electromechanical System Design:
ME 80	Mechanics of Materials
ME 104	Mechanical Systems Design (formerly ME 112)
ME 210	Introduction to Mechatronics
or EE 118	Introduction to Mechatronics
Materials Science:
Any MATSCI courses numbered 151 to 199 (except 159Q) or PHYSICS 172
Quantum Science & Engineering (See UGHB for further important details.)
APPPHYS 203	Atoms, Fields and Photons
APPPHYS 225	Probability and Quantum Mechanics
APPPHYS 228	Quantum Hardware
CS 254	Computational Complexity
CS 269Q	Elements of Quantum Computer Programming
EE 234	Photonics Laboratory
EE 236C	Lasers
EE 243	Semiconductor Optoelectronic Devices
EE 340	Optical Micro- and Nano-Cavities
PHYSICS 106	Experimental Methods in Quantum Physics
PHYSICS 134	Advanced Topics in Quantum Mechanics
PHYSICS 182	Quantum Gases
PHYSICS 230	Graduate Quantum Mechanics I
PHYSICS 231	Graduate Quantum Mechanics II
STATS 376A	Information Theory
Renewable Energy:
CEE 176B	100% Clean, Renewable Energy and Storage for Everything
EE 153	Power Electronics
EE 155	Green Electronics
EE 293B	Fundamentals of Energy Processes
MATSCI 156	Solar Cells, Fuel Cells, and Batteries: Materials for the Energy Solution
MATSCI 302	Solar Cells
MATSCI 316	Nanoscale Science, Engineering, and Technology
ME 260
Total Units		93-119

1	PHYSICS 67 Introduction to Laboratory Physics (2 units), recommended in place of PHYSICS 44 Electricity and Magnetism Lab
2	The Engineering Fundamental courses are to be selected from the Basic Requirements 3 list. Fundamentals courses acceptable for the core program may also be used to satisfy the fundamentals requirement as long as 45 unduplicated units of Engineering are taken.
3	Although not required, PHYSICS 59 (Frontiers in Physics Research, 1 unit) and PHYSICS 91SI (Practical Computing for Scientists, 2 units) are highly recommended.
4	A course may only be counted towards one requirement; it may not be double-counted. All courses taken for the major must be taken for a letter grade if that option is offered by the instructor. Minimum Combined GPA for all courses in Engineering Fundamentals and Depth is 2.0.

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB).

Honors Program

The School of Engineering offers a program leading to a Bachelor of Science in Engineering: Engineering Physics with Honors.

Honors Criteria

1. Minimum overall GPA of 3.5.
2. Independent research conducted at an advanced level with a faculty research adviser and documented in an honors thesis. The honors candidate must identify a faculty member who will serve as his or her honors research adviser and a second reader who will be asked to read the thesis and give feedback before endorsing the thesis. One of the two must be a member of the Academic Council and in the School of Engineering.

Application: The deadline to apply is November 1 in Autumn Quarter of the senior year. The application documents should be submitted to the Student Services Officer. Applications are reviewed by a subcommittee of the faculty advisers for Engineering Physics majors. Applicants and thesis advisers receive written notification when the application is approved. An application consists of three items:

1. One-page description of the research topic
2. The Honors Application form is available on Engineering Physics page of the Undergraduate handbook. It must be signed by honors thesis adviser.
3. Unofficial Stanford transcript

Requirements and Timeline for Honors in Engineering Physics:

1. Declare the honors program in Axess (ENGR-BSH, Subplan: Engineering Physics)
2. Obtain application form from the student services officer.
3. Apply to honors program by November 1 in the Autumn Quarter of the senior year.
4. Maintain an overall GPA of at least 3.5.
5. Optional: Under direction of the thesis adviser, students may enroll for research units in ENGR 199W Writing of Original Research for Engineers or in departmental courses such as  AA 190 Directed Research and Writing in Aero/Astro or ME 191H Honors Research.
6. Submit a completed thesis draft to the research adviser and second reader by April 15.
7. Present the thesis work in an oral presentation or poster session in an appropriate forum (e.g., an event that showcases undergraduate research and is organized by the department of the adviser, the school of the adviser, or the University).
8. Incorporate feedback, which the adviser and second reader should provide by April 30, and obtain final endorsement signatures from the thesis adviser and second reader by May 15.
9. Submit a pdf of the thesis, including the signature page signed by both readers, to the student services officer by May 15. Students are sent email instructions on how to archive a permanent electronic copy in Terman Engineering library.

Environmental Systems Engineering (EnvSE)

Completion of the undergraduate program in Environmental Systems Engineering leads to the conferral of the Bachelor of Science in Environmental Systems Engineering.

Mission of the Undergraduate Program in Environmental Systems Engineering

The mission of the undergraduate program in Environmental Systems Engineering is to prepare students for incorporating environmentally sustainable design, strategies and practices into natural and built systems and infrastructure involving buildings, water supply, and coastal regions. Courses in the program are multidisciplinary in nature, combining math/science/engineering fundamentals, and tools and skills considered essential for an engineer, along with a choice of one of three focus areas for more in-depth study: coastal environments, freshwater environments, or urban environments. This major offers somewhat more flexibility in the curriculum than the Civil Engineering degree program, and requires fewer units. The program of study, which includes a capstone experience, aims to equip engineering students to take on the complex challenges of the twenty-first century involving natural and built environments, in consulting and industry as well as in graduate school.

Degree Requirements

Course List

		Units
Mathematics and Science
See Basic Requirement 1 and 2 1		36
Technology in Society (TiS)
One 3-5 unit course required, course chosen must be on the SoE Approved Courses list at <ughb.stanford.edu> the year taken; see Basic Requirement 4 4		3-5
Engineering Fundamentals
Two courses minimum (see Basic Requirement 3), including:
CS 106A	Programming Methodology	5
(or CS 106X)
ENGR 14	Intro to Solid Mechanics	3
Fundamental Tools/Skills 2		9
in visual, oral/written communication, and modeling/analysis
Specialty Courses, in either		40
Coastal environments (see below)
or Freshwater environments (see below)
or Urban environments (see below)
Total Units		96-98

1	Math must include CME 100 Vector Calculus for Engineers (or MATH 51 Linear Algebra, Multivariable Calculus, and Modern Applications), and either a Probability/Statistics course or CME 102 Ordinary Differential Equations for Engineers (or MATH 53 Ordinary Differential Equations with Linear Algebra). Science must include PHYSICS 41 Mechanics; and either CHEM 31B Chemical Principles II or CHEM 31M Chemical Principles: From Molecules to Solids (or PHYSICS 43 Electricity and Magnetism, for Urban focus area only).
2	Fundamental tools/skills must include:  CEE 1 Introduction to Environmental Systems Engineering; at least one visual communication class from CEE 31 Accessing Architecture Through Drawing / CEE 31Q Accessing Architecture Through Drawing, DESINST 270 Visual Design Fundamentals, ME 101 Visual Thinking, ME 110 Design Sketching, ARTSTUDI 160 Intro to Digital / Physical Design, or OSPPARIS 44 EAP: Analytical Drawing and Graphic Art; at least one oral/written communication class from ENGR 103 Public Speaking, CEE 102W Technical and Professional Communication, ENGR 202W Technical Communication, CEE 151 Negotiation, EARTHSYS 191 Concepts in Environmental Communication or ORALCOMM 117 The Art of Effective Speaking; at least one modeling/analysis class from CEE 101D Computations in Civil and Environmental Engineering (or CEE 101S) if not counted as Math, CEE 120A Building Modeling for Design & Construction (online only), CEE 146S Engineering Economics and Sustainability (online only), CEE 118X Shaping the Future of the Bay Area, CEE 155 Introduction to Sensing Networks for CEE, CEE 226 Life Cycle Assessment for Complex Systems, CME 211 Software Development for Scientists and Engineers, CS 102 , EARTHSYS 140 ,  EARTHSYS 142 Remote Sensing of Land, EARTHSYS 144 Fundamentals of Geographic Information Science (GIS), or ESS 227 Decision Science for Environmental Threats
3	A course may only be counted towards one requirement; it may not be double-counted. All courses taken for the major must be taken for a letter grade if that option is offered by the instructor. Minimum Combined GPA for all courses in Engineering Fundamentals and Depth is 2.0.
4	Basic Requirement 4: Technology in Society (TiS) requirement.

Urban Environments Focus Area (40 units)

Course List

		Units
Required
CEE 100	Managing Sustainable Building Projects	4
CEE 101B	Mechanics of Fluids	4
CEE 146S	Engineering Economics and Sustainability	3
CEE 176A	Energy Efficient Buildings	3
or
CEE 176B	100% Clean, Renewable Energy and Storage for Everything	3-4
Electives (at least two of the 4 areas below must be included with at least 3 units from 2nd area)
Building Systems
CEE 102A	Legal / Ethical Principles in Design, Construction, Project Delivery	3
CEE 120B	Advanced Building Modeling Workshop	2-4
CEE 130	Architectural Design: 3-D Modeling, Methodology, and Process	5
or
CEE 131C	How Buildings are Made -- Materiality and Construction Methods	4
CEE 156	Building Systems Design & Analysis	4
Energy Systems
CEE 107A	Understanding Energy (or CEE 107S, Sum. 3-4 units)	4-5
CEE 176B	100% Clean, Renewable Energy and Storage for Everything ((if not counted as req'd course))	3-4
ENERGY 104	Sustainable Energy for 9 Billion	3
CEE 173S	Electricity Economics	3
or
ENERGY 171	Energy Infrastructure, Technology and Economics	3
or
ENERGY 191	Optimization of Energy Systems	3-4
Water Systems
CEE 166A	Watershed Hydrologic Processes and Models	4
CEE 166B	Water Resources and Hazards	4
CEE 170	Aquatic and Organic Chemistry for Environmental Engineering	3
CEE 174A	Providing Safe Water for the Developing and Developed World	3
CEE 174B	Wastewater Treatment: From Disposal to Resource Recovery	3
Urban Planning, Design, Analysis
CEE 6	Physics of Cities	3
CEE 136	Planning Calif: the Intersection of Climate, Land Use, Transportation & the Economy	3
or
CEE 275D	Environmental Policy Analysis	3-4
or
CEE 273B	The Business of Water	2
CEE 177L	Smart Cities & Communities	3
URBANST 113	Introduction to Urban Design: Contemporary Urban Design in Theory and Practice	5
or
URBANST 164	Sustainable Cities	4-5
or
URBANST 165	(alt. years)	4-5
ME 267	Ethics and Equity in Transportation Systems	3
Capstone (one class required)
CEE 131D	Urban Design Studio ((or CEE 131E))	5
CEE 141A	Infrastructure Project Development	3
CEE 141B	Infrastructure Project Delivery	3
CEE 226E	Techniques and Methods for Decarbonized and Energy Efficient Building Design	2-3
CEE 218Y	Shaping the Future of the Bay Area	3-5
CEE 218Z	Shaping the Future of the Bay Area	3-5
CEE 243	Intro to Urban Sys Engrg	3
CEE 265F	Environmental Governance and Climate Resilience	3
CEE 199	Undergraduate Research in Civil and Environmental Engineering	3-4

Freshwater Environments Focus Area (40 units)

Course List

		Units
Required
CEE 70	Environmental Science and Technology	3
CEE 101B	Mechanics of Fluids	4
CEE 177	Aquatic Chemistry and Biology ((or CEE 170))	4
CEE 166A	Watershed Hydrologic Processes and Models	4
or
CEE 174A	Providing Safe Water for the Developing and Developed World	3
or
CEE 162E	Rivers, Streams, and Canals	3
Electives
CEE 162E	Rivers, Streams, and Canals (if not counted as a required course)	3
CEE 162F	Coastal Processes	3
CEE 166A	Watershed Hydrologic Processes and Models (if not counted as a required course)	4
CEE 166B	Water Resources and Hazards	4
CEE 136	Planning Calif: the Intersection of Climate, Land Use, Transportation & the Economy	3
or
CEE 275D	Environmental Policy Analysis	3-4
or
CEE 273B	The Business of Water	2
CEE 174A	Providing Safe Water for the Developing and Developed World ((prereq: CHEM 31B) (if not counted as a req'd course))	3
CEE 174B	Wastewater Treatment: From Disposal to Resource Recovery ((prereq: CEE 174A))	3
CEE 177L	Smart Cities & Communities	3
or
CEE 260D	Remote Sensing of Hydrology (prerequisite CS 106A)	3
CEE 265A	Resilience, Sustainability and Water Resources Development (offered occasionally)	3
CEE 265D	Water and Sanitation in Developing Countries	3
BIOHOPK 150H	Ecological Mechanics (alternate years)	3
Capstone (1 class required)
CEE 141A	Infrastructure Project Development (recommended prerequisite: CEE 136)	3
CEE 218Y	Shaping the Future of the Bay Area	3-5
CEE 218Z	Shaping the Future of the Bay Area	3-5
CEE 199	Undergraduate Research in Civil and Environmental Engineering (must petition CEE UG Committee for approval, prior to enrollment; must have completed at least 6 focus area classes, excluding Breadth)	3-4

Coastal Environments Focus Area (40 units)

Course List

		Units
Required
CEE 70	Environmental Science and Technology	3
CEE 101B	Mechanics of Fluids	4
And two of the following 4 classes:
CEE 162F	Coastal Processes	3
CEE 162D	Introduction to Physical Oceanography	4
CEE 162I	Atmosphere, Ocean, and Climate Dynamics: the Ocean Circulation	3
CEE 175A	California Coast: Science, Policy, and Law	3-4
Electives
CEE 162D	Introduction to Physical Oceanography (if not counted as a required class)	4
CEE 162F	Coastal Processes (if not counted as a required class)	3
CEE 162I	Atmosphere, Ocean, and Climate Dynamics: the Ocean Circulation (if not counted as a req'd class)	3
CEE 166A	Watershed Hydrologic Processes and Models	4
CEE 136	Planning Calif: the Intersection of Climate, Land Use, Transportation & the Economy	3
or
CEE 275D	Environmental Policy Analysis	3-4
or
CEE 273B	The Business of Water	2
CEE 174A	Providing Safe Water for the Developing and Developed World	3
CEE 174B	Wastewater Treatment: From Disposal to Resource Recovery	3
CEE 175A	California Coast: Science, Policy, and Law	3-4
CEE 177	Aquatic Chemistry and Biology	4
or CEE 170	Aquatic and Organic Chemistry for Environmental Engineering
CEE 272	Coastal Contaminants	3-4
BIOHOPK 150H	Ecological Mechanics	3
BIO 30	Ecology for Everyone	4
or
BIO 81	Introduction to Ecology	4
or
BIOHOPK 81	Introduction to Ecology	4
or
EARTHSYS 116	Ecology of the Hawaiian Islands	4
or
OSPAUSTL 32	Coastal Ecosystems	3
or
OSPGEN 53		2
or
OSPSANTG 85	Marine Ecology of Chile and the South Pacific	5
DESINST 250	Oceans by Design	3
ESS 8	The Oceans: An Introduction to the Marine Environment	4
or
ESS 240	Advanced Oceanography	3
or
BIOHOPK 182H	Stanford at Sea (Oceanography portion - only 4 units may count)	4
EARTHSYS 141	Remote Sensing of the Oceans	3-4
EARTHSYS 151	Biological Oceanography	3-4
to be taken concurrently with
EARTHSYS 152	Marine Chemistry	3-4
Capstone (1 class required)
CEE 141A	Infrastructure Project Development	3
CEE 218Y	Shaping the Future of the Bay Area	3-5
CEE 218Z	Shaping the Future of the Bay Area	3-5
CEE 199	Undergraduate Research in Civil and Environmental Engineering (must petition CEE UG Committee for approval, prior to enrollment; must have completed at least 6 focus area classes, excluding Breadth)	3-4

Honors Program

This program leads to a B.S. with honors for undergraduates majoring in Civil Engineering or in Environmental Systems Engineering. It is designed to encourage qualified students to undertake a more intensive study of civil and environmental engineering than is required for the normal majors through a substantial, independent research project.

The program involves an in-depth research study in an area proposed to and agreed to by a Department of Civil and Environmental Engineering faculty adviser and completion of a thesis of high quality. A written proposal for the research to be undertaken must be submitted and approved by the faculty advisor in the fourth quarter prior to graduation. At the time of application, the student must have an overall grade point average (GPA) of at least 3.3 for course work at Stanford; this GPA must be maintained to graduation. The thesis is supervised by a CEE faculty adviser and must involve input from the School of Engineering writing program by means of ENGR 202S Directed Writing Projects or ENGR 199W Writing of Original Research for Engineers. The written thesis must be approved by the thesis adviser. Students are encouraged to present their results in a seminar for faculty and students. Up to 10 units of CEE 199H Undergraduate Honors Thesis, may be taken to support the research and writing (not to duplicate ENGR 202S or ENGR 199W). These units are beyond the normal Civil Engineering or Environmental Systems Engineering major program requirements.

For additional information on the major, minor, honors, and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB).

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COVID-19-Related Degree Requirement Changes

The IDMEN Program counts all courses taken in academic year 2020-21 with a grade of 'CR' (credit) or 'S' (satisfactory) towards satisfaction of undergraduate degree requirements that otherwise require a letter grade. Students are encouraged to enroll in the letter grade option for degree requirements whenever possible.

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Individually Designed Major in Engineering (IDMEN)

Completion of the undergraduate program in Individually Designed Majors in Engineering (IDMEN) leads to the conferral of the Bachelor of Science in an Individually Designed Major: (approved title). The approved title of the IDMEN also appears on the transcript.

Mission of the Undergraduate Program in Individually Designed Majors in Engineering

The mission of the undergraduate program in Individually Designed Majors in Engineering (IDMEN) is to provide students with an understanding of engineering principles and the analytical and problem solving, design, and communication skills necessary to be successful in the field. The B.S. for IDMENs is intended for undergraduates interested in pursuing engineering programs that, by virtue of their focus and intellectual content, cannot be accommodated by existing departmental majors or the pre-approved School of Engineering majors. Core courses in the curriculum include engineering fundamentals, mathematics, technology in society, and the sciences. Students then take additional courses pertinent to their IDMEN major. The program prepares students for careers in government and the corporate sector, and for graduate study.

B.S. in Individually Designed Majors in Engineering

The B.S. degree for IDMENs is intended for undergraduates interested in pursuing engineering programs that, by virtue of their focus and intellectual content, cannot be accommodated by existing departmental majors or the pre-approved School of Engineering majors. IDMEN curricula are designed by students with the assistance of two faculty advisers of their choice and are submitted to the Undergraduate Council's Subcommittee on Individually Designed Majors. The degree conferred is "Bachelor of Science in Individually Designed Major in Engineering: (approved title)."

Students must submit written proposals to the IDMEN subcommittee detailing their course of study. Programs must meet the following requirements: mathematics (21 units minimum, see Basic Requirement 1 under the Bachelor's tab); science (17 units minimum, see Basic Requirement 2); Technology in Society (one course from School of Engineering Approved Courses list; the course must be on the list the year it is taken; see Basic Requirement 4); at least two Engineering Fundamentals courses, see Basic Requirement 3 for a list of courses; a minimum of 34 units of engineering depth courses, including a capstone depth course with content relevant to proposed goals; and sufficient relevant additional course work to bring the total number of units to at least 90 and at most 107. Neither Introductory Seminar (IntroSem) nor Sophomore College (SC) courses may count toward the major. Students may take additional courses pertinent to their IDMEN major, but the IDMEN proposal itself may not exceed 107 units. Students are responsible for completing the prerequisites for all courses included in their majors.

Each proposal should begin with a statement describing the proposed major. In the statement, the student should make clear the motivation for and goal of the major, and indicate how it relates to her or his projected career plans. The statement should specify how the courses to be taken relate to and move the student toward realizing the major's goal. A proposed title for the major should be included. The title approved by the IDMEN Subcommittee is listed on the student's official University transcript and on the diploma in this form: "Individually Designed Major in Subplan", where "Subplan" is the title approved by the IDMEN Subcommittee.

The proposal statement should be followed by a completed Program Sheet listing all the courses comprising the student's IDMEN curriculum, organized by the five categories printed on the sheet (mathematics, science, technology in society, engineering fundamentals, and engineering depth). Normally, the courses selected should comprise a well-coordinated sequence or sequences that provide mastery of important principles and techniques in a well-defined field. In some circumstances, especially if the proposal indicates that the goal of the major is to prepare the student for graduate work outside of engineering, a more general engineering program may be appropriate. A four-year study plan, showing courses to be taken each quarter, should also be included in the student's IDMEN proposal.

The proposal must be signed by two faculty members who certify that they endorse the major as described in the proposal and that they agree to serve as the student's permanent advisers. One of the faculty members, who must be a member of the School of Engineering and of the Academic Council, acts as the student's primary adviser. The proposal must be accompanied by a statement from that person giving an appraisal of the academic value and viability of the proposed major.

Students proposing an IDMEN must have at least four quarters of undergraduate work remaining at Stanford after the quarter in which their proposals are first submitted. Any changes in a previously approved major must be endorsed by the advisers and approved by the IDMEN subcommittee. A request by a student to make changes in her or his approved curriculum must be made sufficiently far in advance so that, should the request be denied, adequate time remains to complete the original, approved curriculum. Proposals are reviewed and acted upon once a quarter (Autumn, Winter, and Spring). Planning forms may be obtained from the Handbook for Undergraduate Engineering Programs at http://ughb.stanford.edu. Completed proposals should be submitted to Darlene Lazar in the Office of Student Affairs, Huang Engineering Center, Suite 135 or scan to dlazar@stanford.edu. An IDMEN cannot be a student's secondary major.

Honors in Individually Designed Major in Engineering

Qualified IDMEN students may pursue a Bachelor’s degree with Honors (IDMEN-BSH) following the general guidelines outlined below, and consulting with advisers to set a topic and any further parameters regarding directed reading or research, special honors seminars, and the format of the honors work. The honors thesis, and any course work associated with the honors degree, is above and beyond the scope of the major itself and cannot be counted as part of the basic IDMEN-BS requirements.

1. The student must submit a letter applying for the honors option endorsed by the student’ primary adviser and honors adviser; the letter should be submitted to the Office of Student Affairs in 135 Huang no later than mid-October of the senior year.
2. The IDMEN honors adviser may require course work beyond what is required for the BS without honors.
3. The student must maintain a GPA of at least 3.5.
4. The student must complete an honors thesis or project. The manner of evaluating the work will be set by the honors adviser and a second reader, one of whom must be a member of the Academic Council in the School of Engineering. The deadline to submit the thesis or project will be decided by the honors or program adviser but should be set by mid-May at latest.
5. The student must present the work in an appropriate forum, e.g., in the same session as honors theses are presented in the department of the adviser.
6. A a pdf of the thesis, including the signature page signed by both readers, must be submitted to the Office of Student Affairs by the end of the second week of May. Students will be sent email instructions on how to archive a permanent electronic copy in the Terman Engineering library.

Management Science and Engineering (MS&E)

Completion of the undergraduate program in Management Science and Engineering leads to the conferral of the Bachelor of Science in Management Science and Engineering.

Requirements

Course List

		Units
Mathematics and Science		43
Up to ten units of AP/IB Calculus, MATH 19, 20, and/or 21. 1		10
All required; see SoE Basic Requirements 1 and 2		22
CME 100	Vector Calculus for Engineers
or MATH 51	Linear Algebra, Multivariable Calculus, and Modern Applications
ENGR 108	Introduction to Matrix Methods (formerly CME 103)
MS&E 120	Introduction to Probability
MS&E 121	Introduction to Stochastic Modeling
MS&E 125	Introduction to Applied Statistics
Select two of the following: 2		8
CHEM 31B	Chemical Principles II
CHEM 33	Structure and Reactivity of Organic Molecules
PHYSICS 41	Mechanics
or PHYSICS 21	Mechanics, Fluids, and Heat
PHYSICS 43	Electricity and Magnetism
or PHYSICS 23	Electricity, Magnetism, and Optics
BIO 81	Introduction to Ecology
BIO 82	Genetics
BIO 83	Biochemistry & Molecular Biology
BIO 84	Physiology
BIO 85	Evolution
BIO 86	Cell Biology
Math, Science, or Statistics Elective from SoE approved lists. 3		3
Technology in Society 4		3
Select one of the following; see SoE Basic Requirement 4
AA 252	Techniques of Failure Analysis
BIOE 131	Ethics in Bioengineering
COMM 120W	The Rise of Digital Culture
CS 181	Computers, Ethics, and Public Policy
CS 182	Ethics, Public Policy, and Technological Change
ENGR 117	Expanding Engineering Limits: Culture, Diversity, and Equity
ENGR 148	Principled Entrepreneurial Decisions
ME 267	Ethics and Equity in Transportation Systems
MS&E 193	Technology and National Security: Past, Present, and Future
POLISCI 114S	International Security in a Changing World
STS 1	The Public Life of Science and Technology
Engineering Fundamentals 5		12
Three required; see SoE Basic Requirement 3
CS 106A	Programming Methodology 6
MS&E 111	Introduction to Optimization
or MS&E 111X	Introduction to Optimization (Accelerated)
Select one of the following:
ENGR 10	Introduction to Engineering Analysis
ENGR 14	Intro to Solid Mechanics
ENGR 15	Dynamics
ENGR 20	Introduction to Chemical Engineering
ENGR 21	Engineering of Systems
ENGR 40A	Introductory Electronics
ENGR 40M	An Intro to Making: What is EE
ENGR 42	Introduction to Electromagnetics and Its Applications
ENGR 50	Introduction to Materials Science, Nanotechnology Emphasis
ENGR 50E	Introduction to Materials Science, Energy Emphasis
ENGR 50M	Introduction to Materials Science, Biomaterials Emphasis
ENGR 80	Introduction to Bioengineering (Engineering Living Matter)
ENGR 90	Environmental Science and Technology
Engineering Depth 5		52
Core Courses (all six required)		28
CS 106B	Programming Abstractions
ECON 1	Principles of Economics
ECON 50	Economic Analysis I
MS&E 108	Senior Project (WIM)
MS&E 140	Accounting for Managers and Entrepreneurs
MS&E 180	Organizations: Theory and Management
Area Courses (eight required; see below)		24

Depth Areas

Course List

Choose eight courses; four courses from a primary area and two courses from each of the other two areas.
Finance and Decision Area
Students choosing F&D as their primary area must take at least two of ECON 51 (or MS&E 241), MS&E 145 (or 245A), and MS&E 152 (or 252).
Introductory (no prerequisites)
ECON 143	Finance, Corporations, and Society
MS&E 152	Introduction to Decision Analysis
Intermediate (has prerequisites and/or appropriate for juniors and seniors)
MS&E 145	Introduction to Finance and Investment
MS&E 146	Corporate Financial Management
MS&E 252	Decision Analysis I: Foundations of Decision Analysis
Advanced (intended primarily for graduate students, but may be taken by advanced undergraduates)
MS&E 241	Economic Analysis
MS&E 245A	Investment Science
MS&E 245B	Advanced Investment Science
MS&E 246	Financial Risk Analytics
MS&E 250A	Engineering Risk Analysis
MS&E 250B	Project Course in Engineering Risk Analysis
Operations and Analytics Area
Students choosing O&A as their primary area may also include one of CS 161, CS 229, or STATS 202 in their selections.
Methods
MS&E 112	Mathematical Programming and Combinatorial Optimization
MS&E 135	Networks
MS&E 213	Introduction to Optimization Theory
MS&E 223	Simulation
MS&E 226	Fundamentals of Data Science: Prediction, Inference, Causality
MS&E 231	Introduction to Computational Social Science
MS&E 251	Introduction to Stochastic Control with Applications
Applications
MS&E 130	Information Networks and Services
MS&E 230	Incentives and Algorithms
MS&E 232	Introduction to Game Theory
MS&E 232H	Introduction to Game Theory
MS&E 234	Data Privacy and Ethics
MS&E 235	Network Structure and Epidemics
MS&E 260	Introduction to Operations Management
MS&E 263	Healthcare Operations Management
MS&E 267	Service Operations and the Design of Marketplaces
MS&E 330	Law, Order, & Algorithms
MS&E 463	Healthcare Systems Design
Organizations, Technology, and Policy Area
Introductory (no prerequisites)
ENGR 148	Principled Entrepreneurial Decisions
MS&E 193	Technology and National Security: Past, Present, and Future
Advanced (has prerequisites and/or appropriate for juniors and seniors)
BIOE 177	Inventing the Future
ENGR 145	Technology Entrepreneurship
MS&E 175	Innovation, Creativity, and Change
MS&E 182A	Leading Organizational Change
MS&E 182B	Leading Organizational Change II
MS&E 184	Future of Work: Issues in Organizational Learning and Design
MS&E 185	Global Work
MS&E 188	Organizing for Good
MS&E 243	Energy and Environmental Policy Analysis
MS&E 292	Health Policy Modeling

1	Students without AP/IB mathematics credit, who skip MATH 19, 20, and/or 21, may petition to waive up to 10 units of math.
2	AP/IB credit for Chemistry and Physics may be used.
3	Electives must come from the School of Engineering approved list or PSYCH 50 Introduction to Cognitive Neuroscience, may not repeat material from any other requirement, and may not be used to also satisfy an engineering fundamentals or depth requirement. AP/IB credit for Chemistry and Physics may be used if not used above.
4	A course may only be counted towards one requirement; courses used to satisfy the TiS requirement may not be used to also satisfy a depth area requirement.
5	Engineering fundamentals plus engineering depth must total a minimum of 60 units.  Recommended engineering fundamentals are E25B, E25E, E40A, E40M, and E80.  MS&E majors may not use E60, or E70B as engineering fundamentals.
6	Students may petition to waive CS 106A Programming Methodology after completion of CS 106B Programming Abstraction, and/or ECON 1 Principles of Economics after completion of ECON 50 Economic Analysis I.
7	All courses taken for the major must be taken for a letter grade. Minimum combined GPA for all courses in Engineering Topics (Engineering Fundamentals and Depth courses) is 2.0.

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB).

Bachelor of Science in Materials Science and Engineering (MSE/MATSCI)

Completion of the undergraduate program in Materials Science and Engineering leads to the conferral of the Bachelor of Science in Materials Science and Engineering.

Mission of the Undergraduate Program in Materials Science and Engineering

The mission of the undergraduate program in Materials Science and Engineering is to provide students with a strong foundation in materials science and engineering with emphasis on the fundamental scientific and engineering principles which underlie the knowledge and implementation of material structure, processing, properties, and performance of all classes of materials used in engineering systems. Courses in the program develop students' knowledge of modern materials science and engineering, teach them to apply this knowledge analytically to create effective and novel solutions to practical problems, and develop their communication skills and ability to work collaboratively. The program prepares students for careers in industry and for further study in graduate school.

The B.S. in Materials Science and Engineering provides training for the materials engineer and also preparatory training for graduate work in materials science. Capable undergraduates are encouraged to take at least one year of graduate study to extend their course work through the coterminal degree program which leads to an M.S. in Materials Science and Engineering. Coterminal degree programs are encouraged both for undergraduate majors in Materials Science and Engineering and for undergraduate majors in related disciplines.

Learning Outcomes (Undergraduate)

The department expects undergraduate majors in the program to be able to demonstrate the following learning outcomes. These learning outcomes are used in evaluating students and the department's undergraduate program. Students are expected to demonstrate the ability to:

1. Apply the knowledge of mathematics, science, and engineering to assess and synthesize scientific evidence, concepts, theories, and experimental data relating to the natural or physical world.
2. Extend students' knowledge of the natural or physical world beyond that obtained from secondary education by refining their powers of scientific observation, the essential process by which data is gained for subsequent analysis.
3. Design and conduct experiments, as well as understand and utilize the scientific method in formulating hypotheses and designing experiments to test hypotheses.
4. Function on multidisciplinary teams, while communicating effectively.
5. Identify, formulate, and solve engineering issues by applying conceptual thinking to solve certain problems, bypassing calculations or rote learning and relying on the fundamental meaning behind laws of nature.
6. Understand professional and ethical responsibility.
7. Understand the impact of engineering solutions in a global, economic, environmental, and societal context.
8. Demonstrate a working knowledge of contemporary issues.
9. Recognize the need for, and engage in, lifelong learning.
10. Apply the techniques, skills, and modern engineering tools necessary for engineering practice.
11. Transition from engineering concepts and theory to real engineering applications and understanding the distinction between scientific evidence and theory, inductive and deductive reasoning, and understanding the role of each in scientific inquiry.

Degree Requirements 

Course List

		Units
Mathematics
20 units minimum
Select one of the following:		5
MATH 51	Linear Algebra, Multivariable Calculus, and Modern Applications
CME 100/ENGR 154	Vector Calculus for Engineers
Select one of the following:		5
MATH 52	Integral Calculus of Several Variables
CME 104/ENGR 155B	Linear Algebra and Partial Differential Equations for Engineers
Select one of the following:		5
MATH 53	Ordinary Differential Equations with Linear Algebra
CME 102/ENGR 155A	Ordinary Differential Equations for Engineers
One additional course 1		5
Science
20 units minimum
Must include a full year (15 units) of calculus-based physics or chemistry, with one quarter of study (5 units) in the other subject. 2		20
Technology in Society
One course minimum 3		3-5
Engineering Fundamentals
Two courses minimum
Select one of the following:		4
ENGR 50	Introduction to Materials Science, Nanotechnology Emphasis 4
ENGR 50E	Introduction to Materials Science, Energy Emphasis 4
ENGR 50M	Introduction to Materials Science, Biomaterials Emphasis 4
At least one additional courses 4		3-5
Department Requirements: MSE Fundamentals, Depth & Focus Areas
Materials Science Fundamentals: All of the following courses:		16
MATSCI 142	Quantum Mechanics of Nanoscale Materials
MATSCI 143	Materials Structure and Characterization
MATSCI 144	Thermodynamic Evaluation of Green Energy Technologies
MATSCI 145	Kinetics of Materials Synthesis
Two of the following courses:		8
MATSCI 151	Microstructure and Mechanical Properties
MATSCI 152	Electronic Materials Engineering
MATSCI 156	Solar Cells, Fuel Cells, and Batteries: Materials for the Energy Solution
MATSCI 158	Soft Matter in Biomedical Devices, Microelectronics, and Everyday Life
MATSCI 190	Organic and Biological Materials
MATSCI 192	Materials Chemistry
MATSCI 193	Atomic Arrangements in Solids
MATSCI 194	Thermodynamics and Phase Equilibria
MATSCI 195	Waves and Diffraction in Solids
MATSCI 196	Defects in Crystalline Solids
MATSCI 197	Rate Processes in Materials
MATSCI 198	Mechanical Properties of Materials
MATSCI 199	Electronic and Optical Properties of Solids
Materials Science & Engineering Depth		16
Four laboratory courses for Sixteen units; Four units must be WIM
MATSCI 160	Nanomaterials Laboratory
MATSCI 161	Energy Materials Laboratory (WIM)
MATSCI 162	X-Ray Diffraction Laboratory
MATSCI 163	Mechanical Behavior Laboratory
MATSCI 164	Electronic and Photonic Materials and Devices Laboratory (WIM)
MATSCI 165	Nanoscale Materials Physics Computation Laboratory
MATSCI 166	Data Science and Machine Learning Approaches in Chemical and Materials Engineering
Focus Area Options 5, 6		13
Total Units		103-107

1	See a list of approved math courses at ughb.stanford.edu. AP/IB Credit may also be used to meet the 20 units minimum, but cannot replace the three required courses.
2	See a list of approved science courses at ughb.stanford.edu. AP/IB Credit may also be used to meet the 20 units minimum in some cases; see the AP chart in the Bulletin or check with the School of Engineering in 135 Huang Engineering Center.
3	See a list of approved Technology in Society courses at ughb.stanford.edu. Course chosen must be on the approved list the year taken.
4	See a list of approved Engineering Fundamentals Courses at ugh.stanford.edu. Course chosen must be on the approved list the year taken.
5	Focus Area Options: 13 units from one of the following Focus Area Options below. If the focus area contains only 12 units, but the combined unit total in major (SoE Fundamentals, MSE Fundamentals, MSE Depth and the Focus Area) is at 60 or more, it will be allowed and no petition is necessary.
6	The self-defined focus area option requires additional approval; program deviation forms for this option can be found on the MSE website.
7	A course may only be counted towards one requirement; it may not be double-counted. For the 2020-2021 academic year, all courses taken for the major may be taken for either a letter grade (if offered by the instructor) or for CR and count towards degree requirements. Minimum Combined GPA for all courses in Engineering Topics (Engineering Fundamentals and Depth courses) is 2.0.

Focus Area Options (Four courses for a minimum of 13 units; select from one of the ten Focus Areas.)

Course List

Bioengineering
BIOE 80	Introduction to Bioengineering (Engineering Living Matter)
BIOE 220	Introduction to Imaging and Image-based Human Anatomy
BIOE 260	Tissue Engineering
BIOE 281	Biomechanics of Movement
BIOE 381	Orthopaedic Bioengineering
MATSCI 158	Soft Matter in Biomedical Devices, Microelectronics, and Everyday Life
MATSCI 190	Organic and Biological Materials
MATSCI 225	Biochips and Medical Imaging
MATSCI 380	Nano-Biotechnology
MATSCI 381	Biomaterials in Regenerative Medicine
MATSCI 384	Materials Advances for Neurotechnology: Materials Meet the Mind
Chemical Engineering
CHEM 171	Foundations of Physical Chemistry
CHEMENG 130
CHEMENG 140	Micro and Nanoscale Fabrication Engineering
CHEMENG 150	Biochemical Engineering
MATSCI 158	Soft Matter in Biomedical Devices, Microelectronics, and Everyday Life
Chemistry
CHEM 151	Inorganic Chemistry I
CHEM 153	Inorganic Chemistry II
CHEM 171	Foundations of Physical Chemistry
CHEM 173	Physical Chemistry II
CHEM 175	Physical Chemistry III
CHEM 181	Biochemistry I
CHEM 183	Biochemistry II
CHEM 185	Biophysical Chemistry
Electronics & Photonics
EE 101A	Circuits I
EE 101B	Circuits II
EE 102A	Signal Processing and Linear Systems I
EE 102B	Signal Processing and Linear Systems II
EE 116	Semiconductor Devices for Energy and Electronics
EE 134	Introduction to Photonics
EE 142	Engineering Electromagnetics (Formerly EE 141)
EE 155	Green Electronics
ME 210	Introduction to Mechatronics
MATSCI 343	Organic Semiconductors for Electronics and Photonics
MATSCI 346	Nanophotonics
Energy Technology
EE 293B	Fundamentals of Energy Processes
EE 155	Green Electronics
CEE 107A	Understanding Energy
EE 293B	Fundamentals of Energy Processes
MATSCI 156	Solar Cells, Fuel Cells, and Batteries: Materials for the Energy Solution
MATSCI 302	Solar Cells
MATSCI 303	Principles, Materials and Devices of Batteries
ME 262	Physics of Wind Energy
Materials Characterization Techniques
MATSCI 320	Nanocharacterization of Materials
MATSCI 321	Transmission Electron Microscopy
MATSCI 322	Transmission Electron Microscopy Laboratory
MATSCI 323	Thin Film and Interface Microanalysis
MATSCI 326	X-Ray Science and Techniques
CHEMENG 345	Fundamentals and Applications of Spectroscopy
BIO 232	Advanced Imaging Lab in Biophysics
APPPHYS 201	Electrons and Photons (PHOTON 201)
Mechanical Behavior & Design
AA 240	Analysis of Structures
AA 256	Mechanics of Composites
MATSCI 198	Mechanical Properties of Materials
MATSCI 241	Mechanical Behavior of Nanomaterials
MATSCI 358	Fracture and Fatigue of Materials and Thin Film Structures
ME 80	Mechanics of Materials
or CEE 101A	Mechanics of Materials
ME 203	Design and Manufacturing
Nanoscience
ENGR 240	Introduction to Micro and Nano Electromechanical Systems
MATSCI 241	Mechanical Behavior of Nanomaterials
MATSCI 316	Nanoscale Science, Engineering, and Technology
MATSCI 320	Nanocharacterization of Materials
MATSCI 346	Nanophotonics
MATSCI 347	Magnetic materials in nanotechnology, sensing, and energy
MATSCI 380	Nano-Biotechnology
Physics
PHYSICS 70	Foundations of Modern Physics
PHYSICS 110	Advanced Mechanics
PHYSICS 120	Intermediate Electricity and Magnetism I
PHYSICS 121	Intermediate Electricity and Magnetism II
PHYSICS 130	Quantum Mechanics I
PHYSICS 131	Quantum Mechanics II
PHYSICS 134	Advanced Topics in Quantum Mechanics
PHYSICS 170	Thermodynamics, Kinetic Theory, and Statistical Mechanics I
PHYSICS 171	Thermodynamics, Kinetic Theory, and Statistical Mechanics II
PHYSICS 172	Solid State Physics
Self-Defined Option
Petition for a self-defined cohesive program. 7

For additional information and sample, programs see the Handbook for Undergraduate Engineering Programs.

Honors Program

The Materials Science and Engineering honors program offers an opportunity for undergraduate Materials Science and Engineering majors with a GPA of 3.5 or higher to pursue independent research at an advanced level, supported by a faculty advisor and graduate student mentors. The main requirements are as follows:

1. Application to the honors program (must be pre-approved by faculty advisor)
2. Enrollment in MATSCI 150 Undergraduate Research and participation in an independent research project over three sequential full quarters
3. Completion of a faculty-approved thesis
4. Participation in either a poster or oral presentation of thesis work at a Stanford Symposium/event or, at your faculty advisor’s discretion, in a comparable public event.

Since this requires three full quarters of research in addition to a final written thesis and presentation following completion of the work, students must apply to the program no less than four quarters prior to their planned graduation date. Materials Science and Engineering majors pursuing a typical four-year graduation timeline should meet with student services no later than the Winter Quarter of their junior year to receive information on the application process.

All requirements for the honors program are in addition to the normal undergraduate program requirements.

To apply to the MATSCI Honors program

• Have an overall GPA of 3.5 or higher (as calculated on the unofficial transcript) prior to application.
• Seek out a faculty research advisor and agree on a proposed research topic. If the research advisor is not a member of the MSE faculty or not a member of the School of Engineering Academic Council, students must have a second advisor who fulfills these requirements.
• Compose a brief (less than 1 page) summary of proposed research, including a proposed title, and submit along with unofficial transcript and signed application/faculty endorsement.
• Submit application to MATSCI student services (Durand 113) at least four quarters prior to planned graduation.

To complete the MATSCI Honors program

• Overall GPA of 3.5 or higher (as calculated on the unofficial transcript) at graduation.
• Complete at least three quarters of research with a minimum of 9 units of MATSCI 150 (students may petition out of unit requirement with faculty adviser approval). All quarters must focus on the same topic. Maintain the same faculty adviser throughout, if possible.
• Present either a poster or oral presentation of thesis work at a Stanford event or, at the faculty advisor’s discretion, in a comparable public event.
• Submit final drafts of an honors thesis to two faculty readers (one must be your research advisor, and one must be an MSE faculty member/SoE Academic Council member) at least one quarter prior to graduation. Both must approve the thesis by completing the signature page.
• Submit to MATSCI student services (Durand 113) one copy of the honors thesis and signed signature page (in electronic or physical form) at least one quarter prior to graduation.

Mechanical Engineering (ME)

Completion of the undergraduate program in Mechanical Engineering leads to the conferral of the Bachelor of Science in Mechanical Engineering.

Mission of the Undergraduate Program in Mechanical Engineering

The mission of the undergraduate program in Mechanical Engineering is to provide students with a balance of theoretical and practical experiences that enable them to address a variety of societal needs. The curriculum encompasses elements from a wide range of disciplines built around the themes of biomedicine, computational engineering, design, energy, and multiscale engineering. Course work may include mechatronics, computational simulation, solid and fluid dynamics, microelectromechanical systems, biomechanical engineering, energy science and technology, propulsion, sensing and control, nano- and micro- mechanics, and design. The program prepares students for entry-level work as mechanical engineers and for graduate studies in either an engineering discipline or other fields where a broad engineering background is useful.

Core Requirements

Course List

		Units
Mathematics
24 units minimum; see Basic Requirement 1 1
CME 102/ENGR 155A	Ordinary Differential Equations for Engineers	5
or MATH 53	Ordinary Differential Equations with Linear Algebra
Select one of the following:		3-5
CME 106/ENGR 155C	Introduction to Probability and Statistics for Engineers
STATS 110	Statistical Methods in Engineering and the Physical Sciences
STATS 116	Theory of Probability
Plus additional courses to total min. 24
Science
20 units minimum; see Basic Requirement 2 1
Plus addtional required courses 1
CHEM 31M	Chemical Principles: From Molecules to Solids	5
Technology in Society
One course required; TIS courses should be selected from AA 252, BIOE 131, COMM 120W, CS 181, ENGR 131, HUMBIO 174, ME 267, or MSE 193.		3-5
Engineering Fundamentals
Two courses minimum; see Basic Requirement 3
ENGR 14	Intro to Solid Mechanics	3
CS 106A	Programming Methodology	5
or CS 106B	Programming Abstractions
Engineering Core
Minimum of 68 Engineering Science and Design ABET units; see Basic Requirement 5
ME 1	Introduction to Mechanical Engineering	3
ENGR 15	Dynamics	3
ME 80	Mechanics of Materials	3
ME 30	Engineering Thermodynamics	3
ME 70	Introductory Fluids Engineering	3
ME 102	Foundations of Product Realization	3
ME 103	Product Realization: Design and Making	4
ME 104	Mechanical Systems Design	4
ME 131	Heat Transfer	4
ME 123	Computational Engineering	4
ME 170A	Mechanical Engineering Design- Integrating Context with Engineering 2,3	4
ME 170B	Mechanical Engineering Design: Integrating Context with Engineering 2,3	4

 Core Concentrations and Concentration Electives

In addition to completing core requirements, students must choose one of the concentrations paths below. In addition to their concentration specific 3-courses, students select 2-3 additional courses such that the combination adds up to a minimum of 18 units. One of these additional courses must be from technical electives associated with the student’s selected concentration. The other 1-2 courses could come from either technical electives from the student’s selected concentration or any other concentration and its associated technical electives.  Up to 3 units of ME 191 Engineering Problems and Experimental Investigation may be petitioned to count as technical elective.

For students choosing the Materials and Structures concentration path, in addition to the 2 concentration-specific courses, students must select at least 2 courses from the Materials and Structures electives, in addition to courses from other concentrations, as technical electives.

Course List

		Units
Dynamic Systems and Controls Concentration
ME 161	Dynamic Systems, Vibrations and Control	3
ENGR 105	Feedback Control Design	3
Pick one of:
ME 227	Vehicle Dynamics and Control	3
ME 327	Design and Control of Haptic Systems (not offered AY21)	3
Dynamic Systems and Controls Electives
ENGR 205	Introduction to Control Design Techniques	3
ME 210	Introduction to Mechatronics (not offered AY21)	4
ME 220	Introduction to Sensors	4
ME 331A	Advanced Dynamics & Computation (not offered AY21)	3
ME 485	Modeling and Simulation of Human Movement	3
Pick one, if not used in concentration already:
ME 227	Vehicle Dynamics and Control	3
ME 327	Design and Control of Haptic Systems (not offered AY21)	3

Course List

		Units
Materials and Structures Concentration
ME 149	Mechanical Measurements	3
ME 152	Material Behaviors and Failure Prediction	3
Materials and Structures Electives
(2 M&S electives required for students in M&S concentration)
AA 240	Analysis of Structures	3
MATSCI 198	Mechanical Properties of Materials	3-4
ME 234	Introduction to Neuromechanics (not offered AY21)	3
ME 241	Mechanical Behavior of Nanomaterials (not offered AY21)	3
ME 281	Biomechanics of Movement	3
ME 283	Introduction to Biomechanics and Mechanobiology (not offered AY21)	3
ME 287	Mechanics of Biological Tissues (not offered AY21)	4
ME 331A	Advanced Dynamics & Computation (not offered AY21)	3
ME 335A	Finite Element Analysis	3
ME 338	Continuum Mechanics	3
ME 339	Introduction to parallel computing using MPI, openMP, and CUDA	3
ME 345	Fatigue Design and Analysis	3
ME 348	Experimental Stress Analysis	3

Course List

		Units
Product Realization Concentration
ME 127	Design for Additive Manufacturing	3
ME 128	Computer-Aided Product Realization	3
ME 129	Manufacturing Processes and Design (offered AY 19-20)	3
Product Realization Electives
ENGR 110	Perspectives in Assistive Technology (ENGR 110)	1-2
ENGR 240	Introduction to Micro and Nano Electromechanical Systems	3
ME 181	Deliverables: A Mechanical Engineering Design Practicum	3
CME 106	Introduction to Probability and Statistics for Engineers	4
ME 210	Introduction to Mechatronics (not offered AY21)	4
ME 263	The Chair	3-4
or ME 298	Silversmithing and Design
ME 309	(not offered AY21)	3
ME 324	Precision Engineering	4

Course List

		Units
Thermo, Fluids, and Heat Transfer Concentration
ME 149	Mechanical Measurements	3
ME 132	Intermediate Thermodynamics	4
ME 133	Intermediate Fluid Mechanics	3
Thermo, Fluids, and Heat Transfer Electives
ME 257	Gas-Turbine Design Analysis (not offered AY21)	3
ME 351A	Fluid Mechanics	3
ME 351B	Fluid Mechanics	3
ME 352B	Fundamentals of Heat Conduction (not offered AY21)	3
ME 352C	Convective Heat Transfer (not offered AY21)	3
ME 352D	Nanoscale heat, mass and charge transport	3
ME 362A	Physical Gas Dynamics	3
ME 370A	Energy Systems I: Thermodynamics	3
ME 370B	Energy Systems II: Modeling and Advanced Concepts	4
ME 371	Combustion Fundamentals	3
AA 283	Aircraft and Rocket Propulsion	3

1	Math and science must total 45 units. Math: 24 units required and must include a course in differential equations (CME 102 Ordinary Differential Equations for Engineers or MATH 53 Ordinary Differential Equations with Linear Algebra; one of these required) and calculus-based Statistics (CME 106 Introduction to Probability and Statistics for Engineers or STATS 110 Statistical Methods in Engineering and the Physical Sciences or STATS 116 is required. Science: 20 units minimum and requires courses in calculus-based Physics and Chemistry, with at least a full year (3 courses) in one or the other. CHEM 31A Chemical Principles I/CHEM 31B Chemical Principles II are considered one course because they cover the same material as CHEM 31M but at a slower pace. CHEM 31M is recommended.
2	ME 170A and ME 170B fulfill  the WIM requirement.  In AY 2020-21, the same grading basis applies to both ME 170A and ME 170B, and cannot be changed after week 8 of enrollment in ME 170A.
3	ME 170A and ME 170B are a two quarter Capstone Design Sequence and must be taken in consecutive quarters.
4	A course may only be counted towards one requirement; it may not be double-counted. All courses taken for the major must be taken for a letter grade if that option is offered by the instructor. Minimum combined GPA for all courses in Engineering Topics (Engineering Fundamentals and Depth courses) is 2.0.

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB).

BSME 1.0 Notes

Those students (primarily seniors) who are completing BSME 1.0 from AY 2017-2018 or earlier should refer to bulletins from the academic year that corresponds with their program sheet.

Honors Program in Mechanical Engineering

The Department of Mechanical Engineering offers a program leading to a B.S. in Mechanical Engineering with honors. This program offers a unique opportunity for qualified undergraduate engineering majors to conduct independent study and research at an advanced level with a faculty mentor.

Mechanical Engineering majors who have a grade point average (GPA) of 3.5 or higher in the major may apply for the honors program. Students who meet the eligibility requirement and wish to be considered for the honors program must submit a written application to the Mechanical Engineering student services office no later than the second week of Autumn Quarter in the senior year. The application to enter the program can be obtained from the ME student services office, and must contain a one-page statement describing the research topic and include an unofficial Stanford transcript. In addition, the application must be approved by a Mechanical Engineering faculty member who agrees to serve as the thesis adviser for the project. Thesis advisers must be members of Stanford’s Academic Council.

In order to receive departmental honors, students admitted to the program must:

1. Maintain the 3.5 GPA required for admission to the honors program.
2. Submit a completed thesis draft to the adviser by the 3rd week of the quarter they intend to confer. Further revisions and final endorsement by the adviser are to be finished by week 6, when two bound copies are to be submitted to the Mechanical Engineering student services office. 
3. Present the thesis at the Mechanical Engineering Poster Session held in mid-April. If the poster session is not offered or the student does not confer in the spring, an alternative presentation will be approved on a case by case basis with advisor and UGCC chair approval. 

Note: Students may not use work completed towards an honors degree to satisfy the B.S. in ME course requirements.

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COVID-19-Related Degree Requirement Changes

Grading

The Product Design Program counts all courses taken in academic year 2020-21 with a grade of 'CR' (credit) or 'S' (satisfactory) towards satisfaction of undergraduate degree requirements that normally require a letter grade.

 Other Undergraduate Policies

The Product Design Program encourages students to take courses for letter grades when possible in order to have complete records for use when seeking future opportunities, including employment in industry and students seeking to apply for graduate studies.  Per University policy, students can change grading basis through the end of Week 8 in Autumn, Winter, and Spring, and Week 6 in Summer. Students are encouraged to reach out directly to Product Design Program Director, William Burnett <wburnett@stanford.edu>, for questions about petitions, especially in situations related to COVID-19 policies and grading basis.

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Product Design (PD)

Completion of the undergraduate program in Product Design leads to the conferral of the Bachelor of Science in Engineering. The subplan Product Design appears on the transcript and on the diploma.

Mission of the Undergraduate Program in Product Design

The mission of the undergraduate program in Product Design is to graduate designers who can synthesize technology, human factors, and business factors in the service of human need. The program teaches a design process that encourages creativity, craftsmanship, aesthetics, and personal expression, and emphasizes brainstorming and need finding. The course work provides students with the skills necessary to carry projects from initial concept to completion of working prototypes. Students studying product design follow the basic Mechanical Engineering curriculum and are expected to meet the University requirements for a Bachelor of Science degree. The program prepares students for careers in industry and for graduate study.

Requirements

Course List

		Units
Mathematics and Science		36 units minimum
Mathematics 1,2		20 units minimum
Recommended: one course in Statistics 1
Science 2,3		17 units minimum
17 units minimum : Minimum of 9 units of SoE approved science and 8 units of Behavioral Science 2,3
PHYSICS 41	Mechanics	4
PSYCH 1	Introduction to Psychology	5
PSYCH or HUMBIO elective 3		3-5
Technology in Society		3-5 units
One course required; must be on the SoE approved TiS courses list at <ughb.stanford.edu> the year it is taken..
Engineering Fundamentals		8 units minimum
CS 106A	Programming Methodology (or CS 106B)	5
ENGR 40M	An Intro to Making: What is EE (or ENGR 40A )	3-5
or ENGR 40A	Introductory Electronics
Product Design Engineering Depth		54 units minimum
ME 125 and ME 216M OR two Art Studio or Computer Science courses, 100 series or higher		6
ENGR 14	Intro to Solid Mechanics	3
ME 80	Mechanics of Materials	3
ME 101	Visual Thinking	4
ME 102	Foundations of Product Realization	3
ME 103	Product Realization: Design and Making	4
ME 104	Mechanical Systems Design	4
ME 110	Design Sketching	2
ME 115A	Introduction to Human Values in Design	3
ME 115B	Product Design Methods	4
ME 120	History and Ethics of Design	3
ME 115C	Designing Your Business	3
ME 125	Visual Frontiers (or ARTSTUDI or CS course)	3
ME 216A	Advanced Product Design: Needfinding 7	4
ME 216B	Advanced Product Design: Implementation 1 6	4
ME 216C	Advanced Product Design: Implementation 2 6	4
ME 216M	Introduction to the Design of Smart Products (or ARTSTUDI or CS course)	3-4

1	Math requirements can be met with the Math 19, 20, 21 series, or up to 10 units AP or IB Calculus; and courses from the MATH 50 series and/or the CME 100 series;  STATS 60 or STATS 160 are recommended
2	AP units can be applied; have these approved by SoE Dean's Office (email Darlene Lazar at dlazar@stanford.edu) prior to final quarter and before asking advisor to sign-off.
3	School of Engineering approved science list available at http://ughb.stanford.edu. PSYCH electives numbered 30-200 or HUMBIO 82A or HUMBIO 160 are pre-approved.
4	ME 216B & ME 216C will fulfill the Writing in the Major (WIM) requirement for Product Design beginning 2019-20.
5	ME 115C (not available 2020-21) is the only course that can be waived if a student takes a quarter overseas or at one of the BOSP campuses in New York or Washington DC. Students should plan their overseas quarter to take place in sophomore year, or Spring Quarter of the junior year only. If the student elects to go overseas junior year, the total depth units are reduced by 3; this is approved without petition.
6	You may substitute ME 216B and ME 216C with ME 206A and ME 206B Design for Extreme Affordability.
7	ME 216A must be taken for 4 units by all PD majors.

 A course may only be counted towards one requirement; it may not be double-counted. All courses taken for the major must be taken for a letter grade if that option is offered by the instructor. Minimum Combined GPA for all courses in Engineering Topics (Engineering Fundamentals and Depth courses) is 2.0.

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB).