School of Engineering

Mail Code: 94305-4027
Phone: (650) 723-5984
Web Site: https://soe.stanford.edu

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 competence embrace both engineering and the supporting sciences, there are numerous 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, Center on Polymer Interfaces and Macromolecular Assemblies, 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 Sciences.

The School of Engineering's Hasso Plattner Institute of Design (https://dschool.stanford.edu) 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 (https://environment.stanford.edu) 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.

The School of Engineering has a summer internship program in China for undergraduate and graduate students. For more information, see https://soe.stanford.edu/chinaintern. The department also has an exchange program available to graduate students whose research would benefit from collaboration with Chinese academic institutions.

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 is available online at https://ughb.stanford.edu and 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:

• Chemical Engineering,
• Civil Engineering
• Electrical Engineering
• Environmental 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.

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.

Recommended Preparation

Freshman

Students who plan to enter Stanford as freshmen and intend to major in engineering should take the highest level of mathematics offered in high school. (See the "Mathematics" 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.

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 described under "Undergraduate Programs." 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 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 at https://ughb.stanford.edu.

Degree Program Options

The School of Engineering offers two types of B.S. degrees:

• Bachelor of Science in Engineering
• Bachelor of Science for Individually Designed Majors in Engineering (IDMENs)

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

• Aeronautics and Astronautics
• Architectural Design
• Atmosphere/Energy
• Bioengineering
• 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:

• 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 (three course minimum, at least one of which must be unspecified by the department, 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 2012-13 Handbook for Undergraduate Engineering Programs for additional information.

Dual and Coterminal 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, available at https://ughb.stanford.edu.

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, or 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 180 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.

Admission to the coterminal program requires admission to graduate status by the pertinent department. Admission criteria vary from department to department.

Procedure for Applying for Admission to Coterminal Degree Programs

A Stanford undergraduate may apply to the pertinent graduate department using the University coterminal application form after completing 120 bachelor's degree units. Application deadlines 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 should refer to the University Registrar's Office or its web site for details about when courses begin to count toward the master's degree requirements and when graduate tuition is assessed; this may affect the decision about when to apply for admission to graduate status.

The University requirements for the coterminal M.A. are described in the "Coterminal Bachelor's and Master's Degrees" section of this bulletin. For University coterminal degree program rules and University application forms, also see https://studentaffairs.stanford.edu/registrar/publications#Coterm.

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 https://gradadmissions.stanford.edu. 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
• Aircraft Design, Performance, and Control
• Applied Aerodynamics
• Computational Aero-Acoustics
• Computational Fluid Dynamics
• Control of Robots, including Space and Deep-Underwater Robots
• Conventional and Composite Structures/Materials
• Direct and Large Eddy Simulation of Turbulence
• High-Lift Aerodynamics
• Hybrid Propulsion
• Hypersonic and Supersonic Flow
• Multidisciplinary Design Optimization
• Navigation Systems (especially GPNetworked and Hybrid Control
• Optimal Control, Estimation, System Identification
• 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
• Construction Engineering and Management
• Design/Construction Integration
• Environmental Engineering and Science
• Environmental Fluid Mechanics and Hydrology
• Environmental and Water Studies
• Geomechanics
• Structural Engineering
• Sustainable Design and Construction

Computational and Mathematical Engineering

• Applied and Computational Mathematics
• Computational Fluid Dynamics
• Computational Geometry and Topology
• Discrete Mathematics and Algorithms
• Numerical Analysis
• Optimization
• Partial Differential Equations
• Stochastic Processes

Computer Science

See https://forum.stanford.edu/research/areas.php for a comprehensive list.

• Algorithmic Game Theory
• Analysis of Algorithms
• Artificial Intelligence
• Autonomous Agents
• Biomedical Computation
• Compilers
• Complexity Theory
• Computational and Cognitive Neuroscience
• Computational Biology
• Computational Geometry
• Computational Logic
• Computational Photography
• Computational Physics
• Computer Architecture
• Computer Graphics
• Computer Security
• Computer Science Education
• Computer Vision
• Cryptography
• Database Systems
• Data Mining
• Digital Libraries
• Distributed and Parallel Computation
• Distributed Systems
• Electronic Commerce
• Formal Verification
• Haptic Display of Virtual Environments
• Human-Computer Interaction
• Image Processing
• Information and Communication Technologies for Development
• Information Management and Mining
• Machine Learning
• Mathematical Theory of Computation
• Mobile Computing
• Multi-Agent 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

• Biomedical Devices and Bioimaging
• Communication Systems: Wireless, Optical, Wireline
• Control, Learning, and Optimization
• Electronic and Magnetic Devices
• Energy: Solar Cells, Smart Grid, Load Control
• Environmental and Remote Sensing: Sensor Nets, Radar Systems, Space
• Fields and Waves
• Graphics, HCI, Computer Vision, Photography
• Information Theory and Coding: Image and Data Compression, Denoising
• Integrated Circuit Design: MEMS, Sensors, Analog, RF
• Network Systems and Science: Nest Gen Internet, Wireless Networks
• Nano and Quantum Science
• Photonic Devices
• Systems Software: OS, Compilers, Languages
• Systems Hardware: Architecture, VLSI, Embedded Systems
• VLSI Design

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
• Turbulence

Bachelor of Science in the School of Engineering

Departments within the School of Engineering offer programs leading to the B.S. degree in the following fields:

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

The School of Engineering itself offers interdisciplinary programs leading to the B.S. degree in Engineering with specializations in:

• Aeronautics and Astronautics
• Architectural Design
• Atmosphere/Energy
• Bioengineering
• Biomechanical Engineering
• Biomedical Computation
• Engineering Physics
• Product Design

In addition, students may elect a B.S. 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.

Independent Study, Research, and Honors

The departments of Chemical Engineering, Civil and Environmental Engineering, Computer Science, Electrical Engineering, and Mechanical Engineering, as well as the faculty overseeing the Architectural Design, Atmosphere/Energy, Bioengineering, Biomechanical Engineering, Biomedical Computing, 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 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, an introduction to discrete mathematics, and an understanding of statistics and probability theory. Students are encouraged to select courses on these topics. To meet ABET accreditation criteria, a student's program must include the study of differential equations. Courses that satisfy the math requirement are listed at https://ughb.stanford.edu in the Handbook for Undergraduate Engineering Programs.

Basic Requirement 2 (Science)

A strong background in the basic concepts and principles of natural science in such fields as biology, chemistry, geology, and physics is essential for engineering. Most students include the study of physics and chemistry in their programs. Courses that satisfy the science requirement are listed at https://ughb.stanford.edu in the Handbook for Undergraduate Engineering Programs.

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 three courses from the following list, at least one of which is chosen by the student rather than by the department:

		Units
ENGR 10	Introduction to Engineering Analysis	4
ENGR 14	Intro to Solid Mechanics	4
ENGR 15	Dynamics	3
ENGR 20	Introduction to Chemical Engineering (same as CHEMENG 20)	3
ENGR 25B	Biotechnology 1	3
ENGR 25E	Energy: Chemical Transformations for Production, Storage, and Use (same as CHEMENG 25E) 1	3
ENGR 30	Engineering Thermodynamics	3
ENGR 40	Introductory Electronics 1,2	5
ENGR 40N	Engineering Wireless Networks 1	5
ENGR 40P	Physics of Electrical Engineering 1	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 Economy	3
ENGR 62	Introduction to Optimization (same as MS&E 111)	4
ENGR 70A/CS 106A	Programming Methodology 1	5
ENGR 70B/CS 106B	Programming Abstractions 1	5
ENGR 70X/CS 106X	Programming Abstractions (Accelerated) 1	5
ENGR 80	Introduction to Bioengineering (same as BIO 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 40 Introductory Electronics 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 online at https://ughb.stanford.edu in the Handbook for Undergraduate Engineering Programs.

Basic Requirement 5 (Engineering Topics)

In order to satisfy ABET (Accreditation Board for Engineering and Technology) requirements, a student majoring in Chemical, Civil, Electrical, Environmental, 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 online at https://ughb.stanford.edu in the Handbook for Undergraduate Engineering Programs.

Experimentation

Chemical Engineering, Civil Engineering, Electrical Engineering, Environmental Engineering, Materials Science and 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 (https://explorecourses.stanford.edu) or the Bing Overseas Studies web site (https://bosp.stanford.edu). Students should consult their department or program's student services office for applicability of Overseas Studies courses to a major or minor program.

Aeronautics and Astronautics (AA)

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

Requirements

		Units
Mathematics (5)
Select one of the following:		5
MATH 53	Ordinary Differential Equations with Linear Algebra
CME 102/ENGR 155A	Ordinary Differential Equations for Engineers
Math electives 1
Science (20)
PHYSICS 41	Mechanics	4
PHYSICS 43	Electricity and Magnetism	4
One additional Physics course		4
Science electives 1		8
Technology in Society (one course required) (3-5) 1		3-5
Engineering Fundamentals (8)
Three courses minimum, including:
ENGR 30	Engineering Thermodynamics	3
ENGR 70A	Programming Methodology	5
Engineering Depth (38-42)
AA 100	Introduction to Aeronautics and Astronautics	3
AA 190	Directed Research and Writing in Aero/Astro	3-5
ENGR 15	Dynamics	3
CEE 101A	Mechanics of Materials	4
or ME 80	Mechanics of Materials
ME 161	Dynamic Systems, Vibrations and Control	3-4
or PHYSICS 110	Advanced Mechanics
ME 70	Introductory Fluids Engineering	4
ME 131A	Heat Transfer	3-4
Depth Area I 2		6
Depth Area II 2		6
Engineering elective(s) 3		3
Total Units		74-80

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

1	Courses that satisfy the Math electives, Science electives, the Technology in Society requirement, and the Engineering Fundamentals requirement are listed in Figures 3-1, 3-2, 3-3, and 3-4 in the Handbook for Undergraduate Engineering Programs at https://ughb.stanford.edu.
2	Two of the following areas: Fluids (AA 200 Applied Aerodynamics, AA 210A Fundamentals of Compressible Flow, AA 214A Introduction to Numerical Methods for Engineering, AA 283 Aircraft and Rocket Propulsion; ME 131B Fluid Mechanics: Compressible Flow and Turbomachinery) Structures (AA 240A Analysis of Structures, AA 240B Analysis of Structures, AA 256 Mechanics of Composites) Dynamics and Controls (AA 242A Classical Dynamics, AA 271A Dynamics and Control of Spacecraft and Aircraft, AA 279 Space Mechanics; ENGR 105 Feedback Control Design, ENGR 205 Introduction to Control Design Techniques) Systems Design (AA 241A Introduction to Aircraft Design, Synthesis, and Analysis, AA 241B Introduction to Aircraft Design, Synthesis, and Analysis, AA 236A Spacecraft Design, AA 236B Spacecraft Design Laboratory)
3	Electives are to be approved by the adviser, and might be from the depth area lists or other upper-division Engineering courses.

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

		Units
Mathematics and Science (36 units minimum) (0) 1
Mathematics (18-20)
MATH 19	Calculus	3
MATH 20	Calculus	3
MATH 21	Calculus	4
Or the following sequence:
MATH 41	Calculus
MATH 42	Calculus
CME 100	Vector Calculus for Engineers (Recommended)	5
One course in Statistics (required)		3-5
Science (4)
PHYSICS 41	Mechanics	4
Recommended:
EARTHSYS 101	Energy and the Environment
EARTHSYS 102	Renewable Energy Sources and Greener Energy Processes
GES 1A	Introduction to Geology: The Physical Science of the Earth (or GES 1B or 1C)
CEE 64	Air Pollution and Global Warming: History, Science, and Solutions
CEE 70	Environmental Science and Technology
CEE 101D	Computations in Civil and Environmental Engineering
PHYSICS 23	Electricity and Optics
or PHYSICS 43	Electricity and Magnetism
Or from School of Engineering approved list
Technology in Society (3-5)
One course required, see Basic Requirement 4		3-5
Engineering Fundamentals (16-22)
Three courses minimum, see Basic Requirement 3		9-15
ENGR 14	Intro to Solid Mechanics	4
ENGR 60	Engineering Economy 2	3
Engineering Depth (36-38) 3
Engineering Depth Electives (with at least 3 units from SoE courses): the number of units of Depth Electives must be such that courses in Engineering Fundamentals and Engineering Depth total at least 60 units
CEE 31	Accessing Architecture Through Drawing	4
or CEE 31Q	Accessing Architecture Through Drawing
CEE 100	Managing Sustainable Building Projects	4
CEE 101A	Mechanics of Materials	4
CEE 110	Building Information Modeling	2-4
CEE 130	Architectural Design: 3-D Modeling, Methodology, and Process	4
CEE 136	Green Architecture	4
CEE 137B	Advanced Architecture Studio	5
CEE 156	Building Systems	4
ARTHIST 3	Introduction to the History of Architecture	5
Total Units		77-89

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 https://ughb.stanford.edu.
2	CEE 146A, offered Autumn quarter, may be used in place of ENGR 60 for the second ENGR Fundamental.
3	Engineering depth electives: At least one of the following courses: CEE 111, CEE 115, CEE 131, CEE 134 Others from CEE 32A, CEE 32B, CEE 32Q, CEE 80N, CEE 101B, CEE 101C, CEE 122A, CEE 122B, CEE 124, CEE 131A, CEE 132, CEE 134B, CEE 135A, CEE 139, CEE 154, CEE 172A, CEE 176A, CEE 180, CEE 181, CEE 182, CEE 183 ENGR 50, ENGR 103, ENGR 131 ME 10AX, ME 101, ME 110, ME 115A/B/C, ME 120, ME 203 ARTSTUDI 4, ARTSTUDI 11A, ARTSTUDI 13, ARTSTUDI 14, ARTSTUDI 140, ARTSTUDI 145, ARTSTUDI 147S, ARTSTUDI 151, ARTSTUDI 160, ARTSTUDI 170, ARTSTUDI 180, ARTSTUDI 262 ARTHIST 107A, ARTHIST 108A/B, ARTHIST 142, ARTHIST 143A, ARTHIST 188A FILMPROD 114 TAPS 137/DRAMA 137 URBANST 110, URBANST 113, URBANST 163, URBANST 171

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 solve large- and local-scale climate, air pollution, and energy problems through 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

		Units
Mathematics and Science (45 units minimum): (0)
Mathematics (23)		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 110	Statistical Methods in Engineering and the Physical Sciences
Science (24)		20
20 units minimum, including all of the following:
PHYSICS 41	Mechanics
PHYSICS 43	Electricity and Magnetism
or PHYSICS 45	Light and Heat
Select one of the following:		4
CHEM 31B	Chemical Principles II
or CHEM 31X	Chemical Principles
or ENGR 31	Chemical Principles with Application to Nanoscale Science and Technology
CEE 70	Environmental Science and Technology 1
Technology in Society (1 course) (5)
STS 110	Ethics and Public Policy (or other course from approved list; see Basic Requirement 4)	5
Engineering Fundamentals (9-12)
Three courses minimum, including the following:
ENGR 25E	Energy: Chemical Transformations for Production, Storage, and Use	3
Plus one of the following courses, plus one elective (see Basic Requirement 3):		6-9
ENGR 10	Introduction to Engineering Analysis
ENGR 30	Engineering Thermodynamics
ENGR 60	Engineering Economy
ENGR 70A	Programming Methodology
Engineering Depth (41-42)
Required: 2
CEE 64	Air Pollution and Global Warming: History, Science, and Solutions (cannot also fulfill science requirement)	3
CEE 173A	Energy Resources	4-5
At least 34 units from the following with at least four courses from each group:		34
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 164	Introduction to Physical Oceanography
or EESS 146B	Atmosphere, Ocean, and Climate Dynamics: the Ocean Circulation
CEE 172	Air Quality Management
CEE 172A	Indoor Air Quality ((given alt years))
CEE 172S	Green House Gas Mitigation
CEE 178	Introduction to Human Exposure Analysis
EARTHSYS 111	Biology and Global Change
EARTHSYS 57Q	Climate Change from the Past to the Future
EARTHSYS 142	Remote Sensing of Land
or EARTHSYS 144	Fundamentals of Geographic Information Science (GIS)
EARTHSYS 146A	Atmosphere, Ocean, and Climate Dynamics: The Atmospheric Circulation (alt years)
EARTHSYS 147	Controlling Climate Change in the 21st Century
EARTHSYS 184	Climate and Agriculture
ME 131B	Fluid Mechanics: Compressible Flow and Turbomachinery
MS&E; 92Q	International Environmental Policy
Group B: Energy
CEE 109	Creating a Green Student Workforce to Help Implement Stanford's Sustainability Vision (alternate years)
or CEE 136	Green Architecture
CEE 142A	Negotiating Sustainable Development
or CEE 156	Building Systems
CEE 176A	Energy Efficient Buildings
CEE 176B	Electric Power: Renewables and Efficiency
CEE 176F	Energy Systems Field Trips: China Energy Systems ((given alt years))
CEE 177S	Design for a Sustainable World
CHEMENG 35N	Renewable Energy for a Sustainable World
EARTHSYS 101	Energy and the Environment
EARTHSYS 102	Renewable Energy Sources and Greener Energy Processes
ECON 17N	Energy, the Environment, and the Economy
AA 116N	Electric Automobiles and Aircraft
or EE 152	Green Electronics
ENERGY 104	Transition to sustainable energy systems
MATSCI 156	Solar Cells, Fuel Cells, and Batteries: Materials for the Energy Solution
ME 185	Electric Vehicle Design
Total Units		102-106

1	Can count as a science requirement or Engineering Fundamental, but not both.
2	To fulfill the Writing in the Major (WIM) requirement take Technology in Society course STS 110 or MS&E 193W. Alternative WIM Courses: CEE 100, EARTHSYS 200,  HUMBIO 4B, or the combination of 2 units of CEE 199 with 1 unit of E199W.

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

Bioengineering (BioE)

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

Mission of the Undergraduate Program in Bioengineering

The Stanford Bioengineering (BioE) 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 BioE and computer programming. A series of core BioE classes beginning in the second year leads to a student-selected depth area and a capstone senior BioDesign 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

		Units
Mathematics (28-29) 1
28 units minimum required, see Basic Requirement 1)
MATH 41   & MATH 42	Calculus    and Calculus (or AP Calculus)	10
CME 100	Vector Calculus for Engineers	5
CME 102	Ordinary Differential Equations for Engineers	5
CME 104	Linear Algebra and Partial Differential Equations for Engineers	5
CME 106	Introduction to Probability and Statistics for Engineers	3-4
Science (26) 2
26 units minimum:
CHEM 31X	Chemical Principles (or CHEM 31A and 31B)	4
CHEM 33	Structure and Reactivity	4
BIO 41	Genetics, Biochemistry, and Molecular Biology	5
BIO 42	Cell Biology and Animal Physiology	5
PHYSICS 41	Mechanics	4
PHYSICS 43	Electricity and Magnetism	4
Technology in Society (3)
One course required; see Basic Requirement 4
BIOE 131	Ethics in Bioengineering	3
Engineering Fundamentals (12-14)
ENGR 70A	Programming Methodology (same as CS 106A)	5
ENGR 80	Introduction to Bioengineering	4
Fundamentals Elective; see UGHB Fig. 3-4 for approved course list; may not use ENGR 70B or ENGR 70X		3-5
Bioengineering Core (36)
BIOE 41	Physical Biology of Macromolecules	4
BIOE 42	Physical Biology of Cells	4
BIOE 44	Fundamentals for Engineering Biology Lab	4
BIOE 51	Anatomy for Bioengineers	4
BIOE 101	Systems Biology	4
BIOE 103	Systems Physiology and Design	4
BIOE 123	Optics and Devices Lab	4
BIOE 141A	Biodesign Project I	4
BIOE 141B	Biodesign Project II	4
Bioengineering Depth Electives (12)
Four courses, minimum 12 units:		12
BIOE 212	Introduction to Biomedical Informatics Research Methodology
BIOE 214	Representations and Algorithms for Computational Molecular Biology
BIOE 220	Introduction to Imaging and Image-based Human Anatomy
BIOE 222A	Multimodality Molecular Imaging in Living Subjects I
BIOE 222B	Multimodality Molecular Imaging in Living Subjects II
BIOE 244	Advanced Frameworks and Approaches for Engineering Integrated Genetic Systems
BIOE 261	Principles and Practice of Stem Cell Engineering
BIOE 281	Biomechanics of Movement
BIOE 311	Biophysics of Developmental Biology and Tissue Engineering
BIOE 332	Large-Scale Neural Modeling
Total Units		117-120

1

It is strongly recommended that CME 100 Vector Calculus for Engineers, CME 102 Ordinary Differential Equations for Engineers, and CME 104 Linear Algebra and Partial Differential Equations for Engineers) be taken rather than MATH 51 Linear Algebra and Differential Calculus of Several Variables, MATH 52 Integral Calculus of Several Variables, and MATH 53 Ordinary Differential Equations with Linear Algebra. CME 106 Introduction to Probability and Statistics for Engineers should be taken rather than STATS 110 Statistical Methods in Engineering and the Physical Sciences or STATS 141 Biostatistics

2

Science must include both Chemistry (CHEM 31A Chemical Principles I and CHEM 31B Chemical Principles II; or CHEM 31X Chemical Principles or ENGR 31 Chemical Principles with Application to Nanoscale Science and Technology) and calculus-based Physics, 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. Premeds should take Chemistry, not ENGR 31 Chemical Principles with Application to Nanoscale Science and Technology

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.

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, medicine or related areas.

Requirements

		Units
Mathematics (21)		21
21 units minimum; see Basic Requirement 1
Science (22 units Minimum) (27) 1
CHEM 31X	Chemical Principles (or CHEM 31A and CHEM 31B)	4
CHEM 33	Structure and Reactivity	4
PHYSICS 41	Mechanics	4
BIO 44X	Core Molecular Biology Laboratory	5
Biology or Human Biology A/B core courses		10
Technology in Society (3-5)
One course required, see Basic Requirement 4		3-5
Engineering Topics (Engineering Science and Design) (10-12)
Engineering Fundamentals (minimum three courses; see Basic Requirement 3):
ENGR 14	Intro to Solid Mechanics	4
ENGR 25B	Biotechnology	3
or ENGR 80	Introduction to Bioengineering
Fundamentals Elective		3-5
Engineering Depth (33)
ENGR 15	Dynamics	3
ENGR 30	Engineering Thermodynamics	3
ME 70	Introductory Fluids Engineering	4
ME 80	Mechanics of Materials	4
ME 389	Biomechanical Research Symposium	1
Options to complete the ME depth sequence (3 courses, minimum 9 units):		9
ENGR 105	Feedback Control Design
ME 101	Visual Thinking
ME 112	Mechanical Systems Design
ME 113	Mechanical Engineering Design
ME 131A	Heat Transfer
ME 131B	Fluid Mechanics: Compressible Flow and Turbomachinery
ME 140	Advanced Thermal Systems
ME 161	Dynamic Systems, Vibrations and Control
ME 203	Design and Manufacturing (for WIM take ENGR 102M concurrently) 2
ME 210	Introduction to Mechatronics
ME 220	Introduction to Sensors
Options to complete the BME depth sequence (3 courses, minimum 9 units): 3		9
BIOE 260	Tissue Engineering
ME 280	Skeletal Development and Evolution
ME 281	Biomechanics of Movement
ME 283	Introduction to Biomechanics
ME 287	Mechanics of Biological Tissues
ME 294	Medical Device Design
Total Units		94-98

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

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

As biology and medical science enter the 21st century, the importance of computational methods continues to increase dramatically. 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 gaining a solid fundamental understanding of the underlying biological and computational disciplines. They learn techniques in informatics and simulation and their countless 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 pm a depth area of their choice, and participate in a substantial research project with a Stanford faculty member. Upon graduation, students are prepared to enter a wide range of cutting-edge fields in both academia and industry.

Requirements

		Units
Mathematics (16-20)
21 unit minimum, see Basic Requirement 1
MATH 41	Calculus	5
MATH 42	Calculus	5
STATS 116	Theory of Probability 1	3-5
CS 103	Mathematical Foundations of Computing	3-5
Science (27)
17 units minimum, see Basic Requirement 2
PHYSICS 41	Mechanics	4
CHEM 31X	Chemical Principles (or CHEM 31A and CHEM 31B, or ENGR 31)	4
CHEM 33	Structure and Reactivity	4
BIO 41	Genetics, Biochemistry, and Molecular Biology	5
or HUMBIO 2A	Genetics, Evolution, and Ecology
BIO 42	Cell Biology and Animal Physiology	5
or HUMBIO 3A	Cell and Developmental Biology
BIO 43	Plant Biology, Evolution, and Ecology	5
or HUMBIO 4A	The Human Organism
Engineering Fundamentals (3-5)
CS 106B	Programming Abstractions	3-5
or CS 106X	Programming Abstractions (Accelerated)
For the second required course, see concentrations
Technology in Society (3-5)
One course required, see Basic Requirement 4		3-5
Engineering (15-19)
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: Ontology, Terminology, Problem Solving
CS 273A	A Computational Tour of the Human Genome
CS 274	Representations and Algorithms for Computational Molecular Biology
CS 275	Translational Bioinformatics
CS 279	Computational Methods for Analysis and Reconstruction of Biological Networks
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 (0)
Mathematics: Select one of the following:
CME 100	Vector Calculus for Engineers
STATS 141	Biostatistics
MATH 51	Linear Algebra and Differential Calculus of Several Variables
One additional Engineering Fundamental 4
Biology (four courses):
BIO 129A	Cellular Dynamics I: Cell Motility and Adhesion
BIO 129B	Cellular Dynamics II: Building a Cell
BIO 188	Biochemistry I (or CHEM 135 or CHEM 171)
Informatics Electives (two courses) 5,6
Simulation Electives (two courses) 5, 6
Simulation, Informatics, or Cell/Mol Elective (one course) 5,6
Informatics Concentration (6-10)
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	Introduction to Databases
or CS 147	Introduction to Human-Computer Interaction Design
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 (0)
Mathematics (select one of the following):
CME 100	Vector Calculus for Engineers
STATS 141	Biostatistics
MATH 51	Linear Algebra and Differential Calculus of Several Variables
One additional Engineering Fundamental 4
Biology (two courses):
BIO 112	Human Physiology
BIO 188	Biochemistry I
or BIOE 220	Introduction to Imaging and Image-based Human Anatomy
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 (17)
Mathematics:
CME 100	Vector Calculus for Engineers
or MATH 51	Linear Algebra and Differential Calculus of Several Variables
Engineering Fundamentals:
ENGR 30	Engineering Thermodynamics
Simulation Core:
CME 102	Ordinary Differential Equations for Engineers	5
or MATH 53	Ordinary Differential Equations with Linear Algebra
ENGR 80	Introduction to Bioengineering	4
BIOE 101	Systems Biology	4
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		87-103

1	CS 109 Introduction to Probability for Computer Scientists, MS&E; 120 Probabilistic Analysis, MS&E; 220 Probabilistic Analysis, EE 178 Probabilistic Systems Analysis, and CME 106 Introduction to Probability and Statistics for Engineers are acceptable substitutes for STATS 116 Theory of Probability.
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 Fundamentals list in Handbook for Undergraduate Engineering Programs.
5	The list of electives is continually updated to include all applicable courses. For the current list of electives, see https://bmc.stanford.edu.
6	A course may only be counted towards one elective or core requirement; it may not be double-counted.
7	A total of 40 Engineering units must be taken. The core classes only provide 27 Engineering units, so the remaining units must be taken from within the electives.

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB). Also see https://bmc.stanford.edu.

Chemical Engineering (CHE)

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

		Units
Mathematics (25) 1
MATH 41	Calculus	5
MATH 42	Calculus	5
Select one of the following:		5
CME 100	Vector Calculus for Engineers
MATH 51   & MATH 52	Linear Algebra and Differential Calculus of Several Variables    and Integral Calculus of Several Variables
CME 102	Ordinary Differential Equations for Engineers	5
or MATH 53	Ordinary Differential Equations with Linear Algebra
CME 104	Linear Algebra and Partial Differential Equations for Engineers	5
or CME 106	Introduction to Probability and Statistics for Engineers
Science (23) 1
CHEM 31X	Chemical Principles (or CHEM 31A and CHEM 31B)	4
CHEM 33	Structure and Reactivity	4
CHEM 35	Organic Monofunctional Compounds	4
CHEM 36	Organic Chemistry Laboratory I	3
PHYSICS 41	Mechanics	4
PHYSICS 43	Electricity and Magnetism	4
Technology in Society (3-5)
One course required, see Basic Requirement 4		3-5
Engineering Fundamentals (9-11)
Three courses minimum; see Basic Requirement 3
ENGR/CHEMENG 20	Introduction to Chemical Engineering	3
Select one of the following:		3
ENGR/CHEMENG 25B	Biotechnology
ENGR/CHEMENG 25E	Energy: Chemical Transformations for Production, Storage, and Use
Fundamentals Elective		3-5
Chemical Engineering Depth (60)
Minimum 68 Engineering Science and Design units; see Basic Requirement 5
CHEMENG 10	The Chemical Engineering Profession	1
CHEMENG 100	Chemical Process Modeling, Dynamics, and Control	3
CHEMENG 110	Equilibrium Thermodynamics	3
CHEMENG 120A	Fluid Mechanics	4
CHEMENG 120B	Energy and Mass Transport	4
CHEMENG 130	Separation Processes	3
CHEMENG 150	Biochemical Engineering	3
CHEMENG 170	Kinetics and Reactor Design	3
CHEMENG 180	Chemical Engineering Plant Design	3
CHEMENG 185A	Chemical Engineering Laboratory A (WIM)	4
CHEMENG 185B	Chemical Engineering Laboratory B	4
CHEMENG 181	Biochemistry I	3
CHEM 130	Organic Chemistry Laboratory II	4
CHEM 131	Organic Polyfunctional Compounds	3
CHEM 171	Physical Chemistry	3
CHEM 173	Physical Chemistry	3
CHEM 175	Physical Chemistry	3
Select two of the following: 2		6
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 183	Biochemistry II
Note 3
Total Units		120-124

1	Unit count is higher if program includes one of more of the following: MATH 51 and  MATH 52 in lieu of CME 100; or CHEM 31A and CHEM 31B in lieu of CHEM 31X.
2	Any two acceptable except combining 174 and 183.
3	For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB)

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 methodology needed for civil engineering practice. This pre-professional program balances the fundamentals common to many specialties in civil engineering and allows for concentration in structures and construction or environmental and water studies. 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 curriculum includes course work in structural, construction, and environmental engineering. The major prepares students for careers in consulting, industry and government, as well as for graduate school in Engineering.

Requirements

		Units
Mathematics and Science (45)		45
45 units minimum; see Basic Requirements 1 and 2 1
Technology in Society (3-5)
One course; see Basic Requirement 4 2		3-5
Engineering Fundamentals (10-12)
Three courses minimum, see Basic Requirement 3
ENGR 14	Intro to Solid Mechanics	4
ENGR 90	Environmental Science and Technology	3
Fundamentals Elective		3-5
Engineering Depth (57-61)
Minimum of 68 Engineering Fundamentals plus Engineering Depth; see Basic Requirement 5
CEE 100	Managing Sustainable Building Projects 3	4
CEE 101A	Mechanics of Materials	4
CEE 101B	Mechanics of Fluids	4
CEE 101C	Geotechnical Engineering	4
CEE 146A	Engineering Economy	3
Specialty courses in either:		35-42
Environmental and Water Studies (see below)
Structures and Construction (see below)
Other School of Engineering Electives		3-0
Total Units		115-123

1	Mathematics must include CME 100 Vector Calculus for Engineers/CME 102 Ordinary Differential Equations for Engineers (or Math 51 Linear Algebra and Differential Calculus of Several Variables/MATH 53 Ordinary Differential Equations with Linear Algebra) and a Statistics course. Science must include Physics 41 Mechanics; either ENGR 31 Chemical Principles with Application to Nanoscale Science and Technology, CHEM31A Chemical Principles I or CHEM 31X Chemical Principles; two additional quarters in either chemistry or physics and GES 1A Introduction to Geology: The Physical Science of the Earth (or GES 1B or 1C); for students in the Environmental and Water Studies track, the additional chemistry or physics must include CHEM 33; for students in the Structures and Construction track, it must include PHYSICS 43 or 45.
2	Chosen TiS class must specifically include an ethics component, such as STS 101 Science Technology and Contemporary Society, STS 110 Ethics and Public Policy, STS 115 Ethical Issues in Engineering.
3	CEE 100 meets the Writing in the Major (WIM) requirement

Environmental and Water Studies

		Units
ENGR 30	Engineering Thermodynamics 1	3
CEE 101D	Computations in Civil and Environmental Engineering 2	3
CEE 160	Mechanics of Fluids Laboratory	2
CEE 161A	Rivers, Streams, and Canals	3-4
CEE 166A	Watersheds and Wetlands	3
CEE 166B	Floods and Droughts, Dams and Aqueducts	3
CEE 171	Environmental Planning Methods	3
CEE 172	Air Quality Management	3
CEE 177	Aquatic Chemistry and Biology	4
CEE 179A	Water Chemistry Laboratory	3
Remaining specialty units from:
CEE 63	Weather and Storms 2	3
CEE 64	Air Pollution and Global Warming: History, Science, and Solutions 2	3
CEE 109	Creating a Green Student Workforce to Help Implement Stanford's Sustainability Vision	2
CEE 129	Climate Change Adaptation for Seaports: Engineering and Policy for a Sustainable Future	3
CEE 164	Introduction to Physical Oceanography	4
CEE 166D	Water Resources and Water Hazards Field Trips	2
CEE 172A	Indoor Air Quality	2-3
CEE 173A	Energy Resources	3-5
CEE 176A	Energy Efficient Buildings	3-4
CEE 176B	Electric Power: Renewables and Efficiency	3-4
CEE 178	Introduction to Human Exposure Analysis	3
CEE 199	Undergraduate Research in Civil and Environmental Engineering	1-4

Structures and Construction

		Units
Select one of the following:		4
ENGR 50	Introduction to Materials Science, Nanotechnology Emphasis
ENGR 50E	Introduction to Materials Science - Energy Emphasis
ENGR 50M	Introduction to Materials Science, Biomaterials Emphasis
CEE 102	Legal Aspects of Engineering and Construction	3
CEE 156	Building Systems	4
CEE 180	Structural Analysis	4
CEE 181	Design of Steel Structures	4
CEE 182	Design of Reinforced Concrete Structures	4
CEE 183	Integrated Civil Engineering Design Project	4
Remaining specialty units from:
ENGR 15	Dynamics	4
CME 104	Linear Algebra and Partial Differential Equations for Engineers	5
CEE 101D	Computations in Civil and Environmental Engineering	3
CEE 122A	Computer Integrated Architecture/Engineering/Construction	2
CEE 122B	Computer Integrated A/E/C	2
CEE 129	Climate Change Adaptation for Seaports: Engineering and Policy for a Sustainable Future	3
CEE 141A/141B	Infrastructure Project Development	3
CEE 142A	Negotiating Sustainable Development	3
CEE 151	Negotiation	3
CEE 155	Introduction to Sensing Networks for CEE	4
CEE 160	Mechanics of Fluids Laboratory	2
CEE 161A	Rivers, Streams, and Canals	3-4
CEE 171	Environmental Planning Methods	3
CEE 176A	Energy Efficient Buildings	3-4
CEE 176B	Electric Power: Renewables and Efficiency	3-4
CEE 195	Fundamentals of Structural Geology	3
CEE 196	Engineering Geology and Global Change	3
CEE 199	Undergraduate Research in Civil and Environmental Engineering	1-4
CEE 203	Probabilistic Models in Civil Engineering	3-4
One of the following can also count as remaining specialty units.		3-4
CEE 110	Building Information Modeling
CEE 130	Architectural Design: 3-D Modeling, Methodology, and Process
CEE 131A	Professional Practice: Mixed-Use Design in an Urban Setting
CEE 134B	Intermediate Arch Studio

For additional information 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 sciences, 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, and the corporate sector, and for graduate study.

Requirements

Mathematics (26 units minimum)—

CS 103	Mathematical Foundations of Computing 1	5
CS 109	Introduction to Probability for Computer Scientists 2	5
MATH 41   & MATH 42	Calculus    and Calculus 3	10
Plus two electives 4

Science (11 units minimum)—

PHYSICS 41	Mechanics	4
PHYSICS 43	Electricity and Magnetism	4
Science elective 5		3

Technology in Society (3-5 units)—

One course; see Basic Requirement 4

Engineering Fundamentals (13 units minimum; see Basic Requirement 3)—

CS 106B	Programming Abstractions	5
or CS 106X	Programming Abstractions (Accelerated)
ENGR 40	Introductory Electronics	5
or ENGR 40N	Engineering Wireless Networks
Fundamentals Elective (may not be 70A, B, or X)		3-5

Writing in the Major—

Select one of the following:
CS 181W	Computers, Ethics and Public Policy
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)—

CS 107	Computer Organization and Systems	5
CS 110	Principles of Computer Systems 6	5
CS 161	Design and Analysis of Algorithms 7	5

Computer Science Depth

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

Artificial Intelligence Track—

		Units
CS 221	Artificial Intelligence: Principles and Techniques	4
Select two of the following:		6-8
CS 223A	Introduction to Robotics
CS 224M	Multi-Agent Systems
CS 224N	Natural Language Processing
CS 226	Statistical Techniques in Robotics
CS 227	Knowledge Representation and Reasoning
CS 228	Probabilistic Graphical Models: Principles and Techniques
CS 229	Machine Learning
One additional course from the list above or the following:		3-4
CS 124	From Languages to Information
CS 205A	Mathematical Methods for Robotics, Vision, and Graphics
CS 222	Rational Agency and Intelligent Interaction
CS 224S	Speech Recognition and Synthesis
CS 224U	Natural Language Understanding
CS 224W	Social and Information Network Analysis
CS 225A	Experimental Robotics
CS 227B	General Game Playing
CS 231B	The Cutting Edge of Computer Vision
CS 262	Computational Genomics
CS 276	Information Retrieval and Web Search
CS 277	Experimental Haptics
CS 279	Computational Methods for Analysis and Reconstruction of Biological Networks
CS 321	Information Processing for Sensor Networks
CS 326A	Motion Planning
CS 327A	Advanced Robotic Manipulation
CS 329	Topics in Artificial Intelligence (with adviser consent)
CS 331	Advanced Reading in Computer Vision
CS 379	Interdisciplinary Topics (with adviser consent)
EE 263	Introduction to Linear Dynamical Systems
EE 376A	Information Theory
ENGR 205	Introduction to Control Design Techniques
ENGR 209A	Analysis and Control of Nonlinear Systems
MS&E; 251	Stochastic Decision Models
MS&E; 351	Dynamic Programming and Stochastic Control
STATS 315A	Modern Applied Statistics: Learning
STATS 315B	Modern Applied Statistics: Data Mining
Note: CS225B and MS&E 339 no longer offered
Note: CS 374 not given this year
Track Electives (at least three additional courses from the above lists, the general CS electives list, or the following): 9		9-13
CS 275	Translational Bioinformatics
CS 334A	Convex Optimization I
or EE 364A	Convex Optimization I
EE 364B	Convex Optimization II
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 202	Cognitive Neuroscience
PSYCH 204A	Human Neuroimaging Methods
PSYCH 204B	Computational Neuroimaging: Analysis Methods
STATS 200	Introduction to Statistical Inference
STATS 202	Data Mining and Analysis
STATS 205	Introduction to Nonparametric Statistics
Note: CS 278 no longer offered
Note: ECON 286 not given this year

Biocomputation Track—

		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	Introduction to Computer Vision
Select one of the following:
CS 173	A Computational Tour of the Human Genome
or CS 273A	A Computational Tour of the Human Genome
CS 262	Computational Genomics
CS 270	Modeling Biomedical Systems: Ontology, Terminology, Problem Solving
CS 274	Representations and Algorithms for Computational Molecular Biology
CS 275	Translational Bioinformatics
CS 279	Computational Methods for Analysis and Reconstruction of Biological Networks
Note: CS 278 no longer offered
One additional course from the lists above or the following:		3-4
CS 124	From Languages to Information
CS 145	Introduction to Databases
CS 147	Introduction to Human-Computer Interaction Design
CS 148	Introduction to Computer Graphics and Imaging
CS 248	Interactive Computer Graphics
One course from either the general CS electives list, BIOE 101, or the list of Biomedical Computation (BMC) Informatics electives (see https://bmc.stanford.edu and select Informatics from the elective options) 9		3-4
One course from the BMC Informatics elective list		3-4
One course from either the BMC Informatics, Cellular/Molecular, or Organs/Organisms electives lists		3-5
One course from either the BMC Cellular/Molecular or Organs/Organisms electives lists		3-5

Computer Engineering Track—

		Units
EE 108A   & EE 108B	Digital Systems I    and Digital Systems II	6-8
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
or CS 143	Compilers
EE 109	Digital Systems Design Lab
EE 271	Introduction to VLSI Systems
Select two of the following (6-8 units):
CS 140	Operating Systems and Systems Programming 8
or CS 143	Compilers
CS 144	Introduction to Computer Networking
CS 149	Parallel Computing
CS 244	Advanced Topics in Networking
EE 273	Digital Systems Engineering
EE 282	Computer Systems Architecture
Note: CS 240E no longer offered
2) Robotics and Mechatronics Concentration
CS 205A	Mathematical Methods for Robotics, Vision, and Graphics
CS 223A	Introduction to Robotics
ME 210	Introduction to Mechatronics
ENGR 105	Feedback Control Design
Select one of the following (3-4 units):
CS 225A	Experimental Robotics
CS 231A	Introduction to Computer Vision
CS 235	Applied Robot Design for Non-Robot-Designers: How to Fix, Modify, Design, and Build
CS 277	Experimental Haptics
ENGR 205	Introduction to Control Design Techniques
ENGR 207A	Linear Control Systems I
Note: AA 278 no longer offered
Note: CS 225B, ENGR 206, and ENGR 207B not given this year
3) Networking Concentration
CS 140   & CS 144	Operating Systems and Systems Programming    and Introduction to Computer Networking
Select three of the following (9-11 units):
CS 240	Advanced Topics in Operating Systems
CS 244	Advanced Topics in Networking
CS 244B	Distributed Systems
CS 244E	Networked Wireless Systems
CS 249A	Object-Oriented Programming from a Modeling and Simulation Perspective
CS 249B	Large-scale Software Development
EE 179	Analog and Digital Communication Systems
EE 276	Introduction to Wireless Personal Communications
Note: CS 240E no longer offered

Graphics Track—

		Units
CS 148   & CS 248	Introduction to Computer Graphics and Imaging    and Interactive Computer Graphics	8
Select one of the following: 10		3-5
CS 205A	Mathematical Methods for Robotics, Vision, and Graphics
CME 104	Linear Algebra and Partial Differential Equations for Engineers
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 164	Computing with Physical Objects: Algorithms for Shape and Motion
CS 178	Digital Photography
CS 205B	Mathematical Methods for Fluids, Solids, and Interfaces
CS 231A	Introduction to Computer Vision
CS 268	Geometric Algorithms
CS 348A	Computer Graphics: Geometric Modeling
CS 348B	Computer Graphics: Image Synthesis Techniques
CS 448	Topics in Computer Graphics
Track Electives: at least two additional courses from the lists above, the general CS electives list, or the following: 9		6-8
ARTSTUDI 160	Design I : Fundamental Visual Language
ARTSTUDI 170	Introduction to Photography
ARTSTUDI 179	Digital Art I
CME 302	Numerical Linear Algebra
CME 306	Numerical Solution of Partial Differential Equations
EE 262	Two-Dimensional Imaging
EE 264	Digital Signal Processing
EE 368	Digital Image Processing
ME 101	Visual Thinking
PSYCH 30	Introduction to Perception
PSYCH 221	Applied Vision and Image Systems
Note: CME 324 no longer offered
Note: CS 48N, EE 278, and STS 144 not given this year

Human-Computer Interaction Track—

		Units
CS 147	Introduction to Human-Computer Interaction Design	4
Select one of the following:		4
CS 247	Human-Computer Interaction Design Studio
CS 377	Topics in Human-Computer Interaction
CS 448B	Data Visualization
or CS 210A	Software Project Experience with Corporate Partners
Select one of the following:		3-6
PSYCH 55	Introduction to Cognition and the Brain
PSYCH 70	Introduction to Social Psychology
PSYCH 252	Statistical Methods for Behavioral and Social Sciences
ME 101	Visual Thinking
ME 116	Advanced Product Design: Formgiving
Or any MS&E 18*
Select one of the following:		3-4
CS 108	Object-Oriented Systems Design
CS 124	From Languages to Information
CS 140	Operating Systems and Systems Programming
CS 142	Web Applications
CS 221	Artificial Intelligence: Principles and Techniques
CS 229	Machine Learning
CS 229A	Applied Machine Learning
CS 249A	Object-Oriented Programming from a Modeling and Simulation Perspective
Select one of the following:		3-4
CS 148	Introduction to Computer Graphics and Imaging
CS 376	Research Topics in Human-Computer Interaction
CS 378	Phenomenological Foundations of Cognition, Language, and Computation
CS 447	Software Design Experiences
Track Electives: at least two additional courses from the lists above, the general CS electives list, or the following: 9		6-9
ARTSTUDI 160	Design I : Fundamental Visual Language
COMM 169	Computers and Interfaces
ME 115A	Introduction to Human Values in Design
ME 115B	Product Design Methods
Note: CS 476A not given this year

Information Track—

		Units
CS 124	From Languages to Information	4
CS 145	Introduction to Databases	4
Two courses, from different areas:		6-9
1) Information-based AI applications
CS 224N	Natural Language Processing
CS 224S	Speech Recognition and Synthesis
CS 229	Machine Learning
CS 229A	Applied Machine Learning
2) Database and Information Systems
CS 140	Operating Systems and Systems Programming
CS 142	Web Applications
CS 245	Database Systems Principles
CS 246	Mining Massive Data Sets
CS 341	Project in Mining Massive Data Sets
CS 345	Advanced Topics in Database Systems
CS 347	Parallel and Distributed Data Management
Note: CS 346 no longer offered
3) Information Systems in Biology
CS 262	Computational Genomics
CS 270	Modeling Biomedical Systems: Ontology, Terminology, Problem Solving
CS 274	Representations and Algorithms for Computational Molecular Biology
4) Information Systems on the Web
CS 224W	Social and Information Network Analysis
CS 276	Information Retrieval and Web Search
CS 364B	Topics in Algorithmic Game Theory
At least three additional courses from the above areas or the general CS electives list. 9

Systems Track—

		Units
CS 140	Operating Systems and Systems Programming	4
Select one of the following:		3-4
CS 143	Compilers
EE 108B	Digital Systems II
Two additional courses from the list above or the following:		6-8
CS 144	Introduction to Computer Networking
CS 145	Introduction to Databases
CS 149	Parallel Computing
CS 155	Computer and Network Security
CS 240	Advanced Topics in Operating Systems
CS 242	Programming Languages
CS 243	Program Analysis and Optimizations
CS 244	Advanced Topics in Networking
CS 245	Database Systems Principles
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 following: 9		9-12
CS 244C	Readings and Projects in Distributed Systems
CS 244E	Networked Wireless Systems
CS 315A	Parallel Computer Architecture and Programming
or CS 316	Advanced Multi-Core Systems
CS 315B	Parallel Computing Research Project
CS 341	Project in Mining Massive Data Sets
CS 343	Advanced Topics in Compilers
CS 344	Topics in Computer Networks
CS 344E	Advanced Wireless Networks
CS 345	Advanced Topics in Database Systems
CS 347	Parallel and Distributed Data Management
CS 349	Topics in Programming Systems (with adviser consent)
CS 448	Topics in Computer Graphics
EE 382C	Interconnection Networks
EE 384A	Internet Routing Protocols and Standards
EE 384C	Wireless Local and Wide Area Networks
EE 384M	Network Science
EE 384S	Performance Engineering of Computer Systems & Networks
EE 384X	Packet Switch Architectures
Note: CS 240E, CS 346, EE 382A, and EE 384Y no longer offered
Note: EE 384B not given this year

Theory Track—

		Units
CS 154	Introduction to Automata and Complexity Theory	4
Select one of the following:		3
CS 164	Computing with Physical Objects: Algorithms for Shape and Motion
CS 255	Introduction to Cryptography
CS 261	Optimization and Algorithmic Paradigms
CS 268	Geometric Algorithms
CS 361A	Advanced Algorithms
CS 361B	Advanced Algorithms
CS 365	Randomized Algorithms
Two additional courses from the list above or the following:		6-8
CS 143	Compilers
CS 155	Computer and Network Security
CS 157	Logic and Automated Reasoning
or PHIL 151	First-Order Logic
CS 205A	Mathematical Methods for Robotics, Vision, and Graphics
CS 228	Probabilistic Graphical Models: Principles and Techniques
CS 242	Programming Languages
CS 254	Computational Complexity
CS 259	Security Analysis of Network Protocols
CS 262	Computational Genomics
CS 354	Topics in Circuit Complexity
CS 355	Advanced Topics in Cryptography
CS 357	Advanced Topics in Formal Methods
CS 358	Topics in Programming Language Theory
CS 359	Topics in the Theory of Computation (with adviser consent)
CS 364A	Algorithmic Game Theory
CS 364B	Topics in Algorithmic Game Theory
CS 366	Graph Partitioning and Expanders
CS 369	Topics in Analysis of Algorithms (with adviser consent)
MS&E; 310	Linear Programming
Note: CS 374 not given this year
Track Electives: at least three additional courses from the list above, the general CS electives list, or the following: 9		9-12
CME 302	Numerical Linear Algebra
CME 305	Discrete Mathematics and Algorithms
PHIL 152	Computability and Logic

Unspecialized Track—

		Units
CS 154	Introduction to Automata and Complexity Theory	4
Select one of the following:		4
CS 140	Operating Systems and Systems Programming
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 242	Programming Languages
CS 244	Advanced Topics in Networking
EE 108B	Digital Systems II
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	Introduction to Computer Vision
Select one of the following:		3-4
CS 145	Introduction to Databases
CS 147	Introduction to Human-Computer Interaction Design
CS 148	Introduction to Computer Graphics and Imaging
CS 248	Interactive Computer Graphics
CS 262	Computational Genomics
At least two courses from the general CS electives list 9

Individually Designed Track—

Students may propose an individually designed track. Proposals should include a minimum of seven courses, at least four of which must be CS courses numbered 100 or above. See Handbook for Undergraduate Engineering Programs for further information.

Senior Capstone Project (3 units minimum)

CS 191	Senior Project 11
CS 191W	Writing Intensive Senior Project 11
CS 194	Software Project
CS 194W	Software Project
CS 210B	Software Project Experience with Corporate Partners
CS 294	Research Project in Computer Science
CS 294W	Writing Intensive Research Project in Computer Science

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

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 a basic understanding of electrical engineering built on a foundation of physical science, mathematics, computing, and technology, and to provide majors in the department with knowledge of electrical engineering principles along with the required supporting knowledge of mathematics, science, computing, and engineering fundamentals. The program develops students' skills in performing and designing experimental projects and communicating their findings to the scientific community effectively. Students in the major are required to select one sub-discipline for specialization. Choices include bioelectronics and bioimaging; circuits and devices; computer hardware; computer software; music; signal processing, communication and controls; and solid state, photonics, and electromagnetics. The program prepares students for careers in government agencies, the corporate sector, or for future study in graduate or professional schools.

Requirements

		Units
Mathematics (28-30)
MATH 41	Calculus	5
MATH 42	Calculus	5
Select one of the following sequences:		10
MATH 51   & MATH 52	Linear Algebra and Differential Calculus of Several Variables    and Integral Calculus of Several Variables
CME 100   & CME 104	Vector Calculus for Engineers    and Linear Algebra and Partial Differential Equations for Engineers (Same as ENGR 154 & ENGR 155B)
Select one of the following:		5
MATH 53	Ordinary Differential Equations with Linear Algebra
CME 102/ENGR 155A	Ordinary Differential Equations for Engineers
Select one of the following:		3-5
EE 178	Probabilistic Systems Analysis (Preferred)
STATS 116	Theory of Probability
MATH 151	Introduction to Probability Theory
CME 106/ENGR 155C	Introduction to Probability and Statistics for Engineers
Science (15-17)
Select one of the following sequences:		8
PHYSICS 41   & PHYSICS 43	Mechanics    and Electricity and Magnetism
PHYSICS 61   & PHYSICS 63	Mechanics and Special Relativity    and Electricity, Magnetism, and Waves
Math or Science electives 1		7-9
Technology in Society (3-5)
One course, see Basic Requirement 4 in the School of Engineering section		3-5
Writing in the Major (WIM) (3-4)
Select one of the following:		3-4
EE 109	Digital Systems Design Lab (WIM)
EE 133	Analog Communications Design Laboratory (WIM)
EE 134	Introduction to Photonics (WIM)
EE 168	Introduction to Digital Image Processing (WIM)
EE 191W	Special Studies and Reports in Electrical Engineering (WIM) 2
CS 194W	Software Project (WIM)
Engineering Fundamentals (11-15)
Three courses minimum, see Basic Requirement 3 in the School of Engineering section
CS 106B/ENGR 70B	Programming Abstractions	5
or CS 106X/ENGR 70X	Programming Abstractions (Accelerated)
At least two additional courses, at least one of which is not in EE or CS (CS 106A is not allowed). Choose from table in Undergraduate Handbook. One from ENGR 40, ENGR 40N or ENGR 40P recommended.		6-10
Core Courses Engineering Depth (46-62)
Minimum 68 Engineering Topics units; see Basic Requirement 5 in the School of Engineering section
EE 100	The Electrical Engineering Profession	1
EE 101A	Circuits I	4
EE 101B	Circuits II	4
EE 102A	Signal Processing and Linear Systems I	4
EE 102B	Signal Processing and Linear Systems II	4
EE 108A	Digital Systems I	4
EE 108B	Digital Systems II	4
Physics in Electrical Engineering:
EE 41/ENGR 40P	Physics of Electrical Engineering 3	3-5
or EE 141	Engineering Electromagnetics
Specialty courses 4		9-12
One course in Design 5
Electrical Engineering electives 6		9-20
Total Units		106-133

1	A minimum of 12 science units must be taken. A minimum of 45 math and science units combined must be taken.
2	EE 191W may satisfy WIM if used for Honors Thesis, REU (following a summer REU project), or a research project.  A written report that has gone through revision with an advisor is required.  An advisor from the Writing Center is recommended.
3	EE 41/ENGR 40P can meet this requirement only if it is not used to fulfill the Engineering Fundamentals requirement.
4	Three courses from one of the specialty areas shown below (consultation with an adviser in the selection of these courses is especially important):
5	The design course may be part of the specialty sequence. The following courses satisfy this requirement:  EE 109, EE 133, EE 134, EE 168, EE 262, EE 265, CS 194W.
6	May include up to two additional Engineering Fundamentals. May include up to 10 units of EE 191 and EE 191W.  May include any CS 193 course.

Specialty Areas

		Units
Bioelectronics and Bioimaging (23)
EE 122B	Introduction to Biomedical Electronics	3
EE 124	Introduction to Neuroelectrical Engineering	3
EE 134	Introduction to Photonics (WIM)	4
EE 168	Introduction to Digital Image Processing (WIM)	4
EE 169	Introduction to Bioimaging	3
EE 202	Electrical Engineering in Biology and Medicine	3
EE 225	Bio-chips, Imaging and Nanomedicine	3
Circuits and Devices (26)
EE 114	Fundamentals of Analog Integrated Circuit Design	4
EE 116	Semiconductor Device Physics	3
EE 122A	Analog Circuits Laboratory	3
EE 133	Analog Communications Design Laboratory (WIM)	4
EE 212	Integrated Circuit Fabrication Processes	3
EE 214B	Advanced Analog Integrated Circuit Design	3
EE 216	Principles and Models of Semiconductor Devices	3
EE 271	Introduction to VLSI Systems	3
Computer Hardware (16-18)
EE 109	Digital Systems Design Lab (WIM)	4
EE 271	Introduction to VLSI Systems	3
EE 273	Digital Systems Engineering	3
EE 282	Computer Systems Architecture	3
CS 107	Computer Organization and Systems	3-5
Computer Software (27-37)
CS 107	Computer Organization and Systems	3-5
CS 108	Object-Oriented Systems Design	3-4
CS 110	Principles of Computer Systems	3-5
CS 140	Operating Systems and Systems Programming	3-4
CS 143	Compilers	3-4
CS 144	Introduction to Computer Networking	3-4
or EE 284	Introduction to Computer Networks
CS 145	Introduction to Databases	3-4
CS 148	Introduction to Computer Graphics and Imaging	3-4
CS 194W	Software Project (WIM)	3
Music (23-51)
EE 109	Digital Systems Design Lab (WIM)	4
EE 264	Digital Signal Processing	3-4
or EE 265	Digital Signal Processing Laboratory
MUSIC 256A	Music, Computing, and Design I: Software Paradigms for Computer Music	1-4
MUSIC 256B	Music, Computing, Design II: Mobile Music	1-4
MUSIC 420A	Signal Processing Models in Musical Acoustics	3-4
MUSIC 420B	Software for Sound Synthesis and Audio Effects	1-10
MUSIC 421A	Audio Applications of the Fast Fourier Transform	3-4
MUSIC 421B	Projects in Spectral Audio Signal Processing	1-10
MUSIC 422	Perceptual Audio Coding	3
MUSIC 424	Signal Processing Techniques for Digital Audio Effects	3-4
Signal Processing, Communications and Controls (44-45)
EE 124	Introduction to Neuroelectrical Engineering	3
EE 133	Analog Communications Design Laboratory (WIM)	4
EE 168	Introduction to Digital Image Processing (WIM)	4
EE 169	Introduction to Bioimaging	3
EE 179	Analog and Digital Communication Systems	3
EE 261	The Fourier Transform and Its Applications	3
EE 262	Two-Dimensional Imaging	3
EE 263	Introduction to Linear Dynamical Systems	3
EE 264	Digital Signal Processing	3-4
or EE 265	Digital Signal Processing Laboratory
EE 276	Introduction to Wireless Personal Communications	3
EE 278B	Introduction to Statistical Signal Processing	3
EE 279	Introduction to Communication Systems	3
ENGR 105	Feedback Control Design	3
ENGR 205	Introduction to Control Design Techniques	3
Solid State, Photonics and Electromagnetics (37)
EE 116	Semiconductor Device Physics	3
EE 134	Introduction to Photonics (WIM)	4
EE 136	Introduction to Nanophotonics and Nanostructures	3
EE 141	Engineering Electromagnetics	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 228	Basic Physics for Solid State Electronics	3
EE 235	Guided Wave Optical Devices	3
EE 242	Electromagnetic Waves	3
EE 247	Introduction to Optical Fiber Communications	3
EE 268	Introduction to Modern Optics	3

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

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 solid state devices, quantum optics and photonics, materials science, nanotechnology, electromechanical systems, energy systems, biophysics, computational science, 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

		Units
Mathematics (18)
Select one of the following sequences:		10
MATH 51   & MATH 52	Linear Algebra and Differential Calculus of Several Variables    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 I	3
Science (20)
PHYSICS 41	Mechanics (or PHYSICS 61)	4
PHYSICS 42	Classical Mechanics Laboratory (or PHYSICS 62) 1	1
PHYSICS 43	Electricity and Magnetism (or PHYSICS 63)	4
PHYSICS 67	Introduction to Laboratory Physics 2	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 (3-5)
One course required, see Basic Requirement 4		3-5
Engineering Fundamentals (9-14)
Three courses minimum (CS 106A or X recommended) 3		9-14
Engineering Physics Depth (core) (12-16)
Advanced Mathematics:
One advanced math elective such as:		3-5
EE 261	The Fourier Transform and Its Applications
PHYSICS 112	Mathematical Methods of 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: 4		3-4
AA 242A	Classical Dynamics (or ME 333 or PHYSICS 110)	3
Intermediate Electricity and Magnetism:
EE 141   & EE 242	Engineering Electromagnetics    and Electromagnetic Waves
PHYSICS 120   & PHYSICS 121	Intermediate Electricity and Magnetism I    and Intermediate Electricity and Magnetism II
Numerical Methods:
Select one of the following:		3-4
APPPHYS 215	Numerical Methods for Physicists and Engineers
CME 108	Introduction to Scientific Computing
CME 206/ME 300C	Introduction to Numerical Methods for Engineering
PHYSICS 113	Computational Physics
Electronics Lab (3-5)
Select one of the following:		3-5
ENGR 40	Introductory Electronics
EE 101B	Circuits II
EE 122A	Analog Circuits Laboratory
PHYSICS 105	Intermediate Physics Laboratory I: Analog Electronics
APPPHYS 207	Laboratory Electronics
Writing Lab (WIM) (4-5)
Select one of the following:		4-5
EE 134	Introduction to Photonics
ME 203   & ENGR 102M	Design and Manufacturing    and Technical/Professional Writing for Mechanical Engineers
MATSCI 161	Nanocharacterization Laboratory
MATSCI 164	Electronic and Photonic Materials and Devices Laboratory
PHYSICS 107	Intermediate Physics Laboratory II: Experimental Techniques and Data Analysis
Quantum Mechanics (6-8)
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    and Quantum Mechanics II
Thermodynamics and Statistical Mechanics (8)
PHYSICS 170   & PHYSICS 171	Thermodynamics, Kinetic Theory, and Statistical Mechanics I    and Thermodynamics, Kinetic Theory, and Statistical Mechanics II (or ME 346A (offered every other year))	8
Design Course (12-16)
Select one of the following:		3-4
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
Select three courses from one specialty area:		9-12
Solid State Physics:
APPPHYS 273	Solid State Physics II
EE 116	Semiconductor Device Physics
EE 216	Principles and Models of Semiconductor Devices
MATSCI 199	Electronic and Optical Properties of Solids
PHYSICS 172	Solid State Physics
Photonics:
EE 216	Principles and Models of Semiconductor Devices
EE 231	Introduction to Lasers
EE 232	Laser Dynamics
EE 234	Photonics Laboratory
EE 243	Semiconductor Optoelectronic Devices
EE 268	Introduction to Modern Optics
MATSCI 199	Electronic and Optical Properties of Solids
Materials Science:
Any MATSCI courses numbered 151 to 199 (except 159Q) or PHYSICS 172
Electromechanical System Design:
ME 80	Mechanics of Materials
ME 112	Mechanical Systems Design
ME 210	Introduction to Mechatronics
Energy Systems:
ME 131A	Heat Transfer
ME 131B	Fluid Mechanics: Compressible Flow and Turbomachinery
ME 140	Advanced Thermal Systems
Renewable Energy:
EE 293A	Fundamentals of Energy Processes
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	Fuel Cell Science and Technology
Biophysics:
BIO 132	Advanced Imaging Lab in Biophysics
BIOE 41	Physical Biology of Macromolecules
BIOE 42	Physical Biology of Cells
BIOE 44	Fundamentals for Engineering Biology Lab
BIOE 101	Systems Biology
BIOE 103	Systems Physiology and Design
BIOE 123	Optics and Devices Lab
CS 262	Computational Genomics
EE 169	Introduction to Bioimaging
Computational Science:
CME 212	Advanced Programming 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 Automata and Complexity Theory
CS 161	Design and Analysis of Algorithms
CS 164	Computing with Physical Objects: Algorithms for Shape and Motion
CS 205A	Mathematical Methods for Robotics, Vision, and Graphics
CS 205B	Mathematical Methods for Fluids, Solids, and Interfaces
CS 221	Artificial Intelligence: Principles and Techniques
CS 228	Probabilistic Graphical Models: Principles and Techniques
or CS 229A	Applied Machine Learning
STATS 202	Data Mining and Analysis
STATS 213	Introduction to Graphical Models
Total Units		95-115

1	PHYSICS 42 Classical Mechanics Laboratory or PHYSICS 62 Classical Mechanics Laboratory, Mechanics Lab (1 unit), required in 2011-12 and beyond
2	PHYSICS 67 Introduction to Laboratory Physics (2 units), recommended in place of PHYSICS 44 Electricity and Magnetism Lab
3	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.
4	ENGR 15 Dynamics, allowed for students who matriculated in 2011/2012 or earlier; however, AA 242A Classical Dynamics, ME 333 Mechanics or PHYSICS 110 Advanced Mechanics recommended instead of, or in addition to, ENGR 15 Dynamics.

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

Environmental Engineering (ENV)

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

Mission of the Undergraduate Program in Environmental Engineering

The mission of the undergraduate program in Environmental Engineering is to equip students with the problem solving skills and knowledge necessary to assess and develop solutions to environmental problems impacting the biosphere, land, water, and air quality. The Environmental Engineering major offers a more focused program in Environmental and Water Studies than the Environmental and Water Studies concentration in the Civil Engineering degree program. Courses in the program are multidisciplinary in nature, combining fundamental principles drawn from physics, chemistry, geology, engineering, and biology. Students learn to apply analytical methods necessary to evaluate environmental changes and to design strategies to remediate problems that inevitably may have resulted from human activities. The program prepares students for careers in consulting, industry, and government, and for graduate school in engineering.

Requirements

		Units
Mathematics and Science (45)
See Basic Requirement 1 and 2 1		45
Technology in Society (TiS) (3-5)
One 3-5 unit course required, see Basic Requirement 4 2		3-5
Engineering Fundamentals (9-11)
Three courses minimum, including the two listed below; see Basic Requirement 3
ENGR 30	Engineering Thermodynamics	3
ENGR 90/CEE 70	Environmental Science and Technology	3
Fundamentals Elective		3-5
Environmental Engineering Depth (57)
Minimum of 68 units of Engineering Fundamentals plus Engineering Depth; see Basic Requirement 5
CEE 64	Air Pollution and Global Warming: History, Science, and Solutions	3
CEE 100	Managing Sustainable Building Projects	4
CEE 101B	Mechanics of Fluids	4
CEE 101D	Computations in Civil and Environmental Engineering	3
CEE 146A	Engineering Economy	3
CEE 160	Mechanics of Fluids Laboratory	2
CEE 161A	Rivers, Streams, and Canals	4
CEE 166A	Watersheds and Wetlands	3
CEE 166B	Floods and Droughts, Dams and Aqueducts	3
CEE 171	Environmental Planning Methods	3
CEE 172	Air Quality Management	3
CEE 177	Aquatic Chemistry and Biology	4
CEE 179A	Water Chemistry Laboratory	3
CEE 179C	Environmental Engineering Design (or CEE 169 (offered alt years))	5
CEE Breadth Electives 3		10
Other School of Engineering Electives (0-2 units)
Total Units		114-118

1	Math must include CME 100 Vector Calculus for Engineers/CME 102 Ordinary Differential Equations for Engineers (or MATH 51 Linear Algebra and Differential Calculus of Several Variables/MATH 53 Ordinary Differential Equations with Linear Algebra) and a Statistics course. Science must include PHYSICS 41 Mechanics; either ENGR 31 Chemical Principles with Application to Nanoscale Science and Technology, CHEM 31A Chemical Principles I or CHEM 31X Chemical Principles; CHEM 33 Structure and Reactivity; GES 1A Introduction to Geology: The Physical Science of the Earth (or GES 1B or 1C); and one other physics or chemistry class for at least 3 units.
2	Chosen TiS class must specifically include an ethics component, such as STS 1 The Public Life of Science and Technology; COMM 169 Computers and Interfaces; CS 181 Computers, Ethics, and Public Policy; or MS&E; 181 Issues in Technology and Work for a Postindustrial Economy
3	Breadth electives currently include CEE 63 Weather and Storms, CEE 101C Geotechnical Engineering, CEE 109 Creating a Green Student Workforce to Help Implement Stanford's Sustainability Vision, CEE 129 Climate Change Adaptation for Seaports: Engineering and Policy for a Sustainable Future, CEE 164 Introduction to Physical Oceanography, CEE 166D Water Resources and Water Hazards Field Trips, CEE 172A Indoor Air Quality, CEE 173A Energy Resources, CEE 176A Energy Efficient Buildings, CEE 176B Electric Power: Renewables and Efficiency, CEE 178 Introduction to Human Exposure Analysis, and CEE 199 Undergraduate Research in Civil and Environmental Engineering.

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

Individually Designed Majors in Engineering (IDMENS)

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 unit minimum, see Basic Requirement 1 below), science (17 units minimum, see Basic Requirement 2 below), Technology in Society (one approved course, see Basic Requirement 4 below), engineering (40 units minimum), and sufficient relevant additional course work to bring the total number of units to at least 90 and at most 107. Students may take additional courses pertinent to their IDMEN major, but the IDMEN proposal itself may not exceed 107 units. The student's curriculum must include at least three Engineering Fundamentals courses, see Basic Requirement 4 for a list of courses.

		Units
ENGR 10	Introduction to Engineering Analysis	4
ENGR 14	Intro to Solid Mechanics	4
ENGR 15	Dynamics	3
ENGR 20	Introduction to Chemical Engineering	3
ENGR 25B	Biotechnology	3
ENGR 25E	Energy: Chemical Transformations for Production, Storage, and Use	3
ENGR 30	Engineering Thermodynamics	3
ENGR 40	Introductory Electronics	5
ENGR 40N	Engineering Wireless Networks	5
ENGR 40P	Physics of Electrical Engineering	5
ENGR 50/50E/50M	Introduction to Materials Science, Nanotechnology Emphasis	4
ENGR 60	Engineering Economy	3
ENGR 62	Introduction to Optimization	4
ENGR 70A	Programming Methodology	3-5
ENGR 70B	Programming Abstractions	3-5
ENGR 70X	Programming Abstractions (Accelerated)	3-5
ENGR 80	Introduction to Bioengineering	4
ENGR 90	Environmental Science and Technology	3

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 from the School of Engineering, 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 IDMENs 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 re-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. Forms may be obtained from the Handbook for Undergraduate Engineering Programs at https://ughb.stanford.edu. Completed proposals should be submitted to Darlene Lazar in the Office of Student Affairs, Huang Engineering Center, Suite 135. An IDMEN cannot be a student's secondary major.

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

Mathematics (32-34)
Seven courses and 32 units minimum; see Basic Requirement 1 1
MATH 41	Calculus	5
MATH 42	Calculus	5
MATH 51	Linear Algebra and Differential Calculus of Several Variables	5
MATH 53	Ordinary Differential Equations with Linear Algebra	5
MS&E; 120	Probabilistic Analysis	5
MS&E; 121	Introduction to Stochastic Modeling	4
STATS 110	Statistical Methods in Engineering and the Physical Sciences	3-5
or STATS 200	Introduction to Statistical Inference
Science (11-13)
Three courses and 11 units minimum; see Basic Requirement 2 1
Select one of the following sequences:		8
CHEM 31B   & CHEM 33	Chemical Principles II    and Structure and Reactivity
CHEM 31X   & CHEM 33	Chemical Principles    and Structure and Reactivity
PHYSICS 21   & PHYSICS 22   & PHYSICS 23   & PHYSICS 24	Mechanics and Heat    and Mechanics and Heat Laboratory    and Electricity and Optics    and Electricity and Optics Laboratory
PHYSICS 41   & PHYSICS 43	Mechanics    and Electricity and Magnetism
Science Elective		3-5
Technology in Society (3-5)
Select one of the following; see Basic Requirement 4		3-5
COMM 120W	Digital Media in Society
COMM 169	Computers and Interfaces
CS 181	Computers, Ethics, and Public Policy
MS&E; 181	Issues in Technology and Work for a Postindustrial Economy
MS&E; 193	Technology and National Security (WIM)
STS 110	Ethics and Public Policy (WIM)
STS 115	Ethical Issues in Engineering
Engineering Fundamentals (11-15)
Three courses; see Basic Requirement 3
CS 106A	Programming Methodology 2	5
Select one of the following:		3-5
ENGR 25B	Biotechnology
or ENGR 25E	Energy: Chemical Transformations for Production, Storage, and Use
ENGR 40	Introductory Electronics
or ENGR 40N	Engineering Wireless Networks
or ENGR 40P	Physics of Electrical Engineering
ENGR 80	Introduction to Bioengineering
Select one of the following (or E25, E40, or E80 if not used above):		3-5
ENGR 10	Introduction to Engineering Analysis
ENGR 14	Intro to Solid Mechanics
ENGR 15	Dynamics
ENGR 20	Introduction to Chemical Engineering
ENGR 30	Engineering Thermodynamics
ENGR 50	Introduction to Materials Science, Nanotechnology Emphasis
or ENGR 50E	Introduction to Materials Science - Energy Emphasis
or ENGR 50M	Introduction to Materials Science, Biomaterials Emphasis
ENGR 60	Engineering Economy
ENGR 90	Environmental Science and Technology
Engineering Depth (core; six courses) (22-26)
MS&E; 108	Senior Project	5
MS&E; 111	Introduction to Optimization	4
MS&E; 180	Organizations: Theory and Management	4
Select one of the following:		3-5
CS 103	Mathematical Foundations of Computing
CS 106B	Programming Abstractions
CS 106X	Programming Abstractions (Accelerated)
Select one of the following:		3-4
MS&E; 130	Information Networks and Services
MS&E; 134	Organization Change and Information Systems 3
MS&E; 233	Networked Markets
Select one of the following:		3-4
MS&E; 142	Introductory Financial Analysis 4
MS&E; 260	Introduction to Operations Management 4
Engineering Depth (concentration; seven or eight courses) (22-30)
Concentration: choose one of the following 5 concentrations: 5		22-30
Financial and Decision Engineering Concentration (25-30) 4
ECON 50	Economic Analysis I	5
ECON 51	Economic Analysis II	5
MS&E; 140	Accounting for Managers and Entrepreneurs	3-4
MS&E; 152	Introduction to Decision Analysis (WIM)	3-4
Select one of the following:		3-4
MS&E; 245G	Finance for Non-MBAs
MS&E; 247S	International Investments
Select two of the following:		6-8
ENGR 145	Technology Entrepreneurship
MS&E; 107	Interactive Management Science
MS&E; 146	Corporate Financial Management
MS&E; 223	Simulation
MS&E; 247G	International Financial Management
MS&E; 250A	Engineering Risk Analysis
MS&E; 260	Introduction to Operations Management 4
Operations Research Concentration (24-27) 4
MATH 113	Linear Algebra and Matrix Theory 6	3
MATH 115	Functions of a Real Variable 6	3
MS&E; 112	Mathematical Programming and Combinatorial Optimization	3
MS&E; 152	Introduction to Decision Analysis (WIM)	3-4
MS&E; 241	Economic Analysis	3-4
MS&E; 251	Stochastic Decision Models	3
STATS 202	Data Mining and Analysis 6	3
Select one of the following:		3-4
MS&E; 142	Introductory Financial Analysis 4
MS&E; 260	Introduction to Operations Management 4
Organization, Technology, and Entrepreneurship Concentration (22-30)
Select one of the following:		4-5
ECON 50	Economic Analysis I
PSYCH 70	Introduction to Social Psychology
SOC 114	Economic Sociology
Select two of the following:		6-8
ENGR 145	Technology Entrepreneurship
MS&E; 175	Innovation, Creativity, and Change
MS&E; 181	Issues in Technology and Work for a Postindustrial Economy 6
Select at least four of the following courses (may also include E145, MS&E 175, or MS&E 181, if not used above):		12-17
CS 147	Introduction to Human-Computer Interaction Design
ENGR 130	Science, Technology, and Contemporary Society 6
MS&E; 134	Organization Change and Information Systems 3
MS&E; 140	Accounting for Managers and Entrepreneurs
MS&E; 178	The Spirit of Entrepreneurship
MS&E; 185	Global Work
MS&E; 189	Social Networks - Theory, Methods, and Applications
MS&E; 266	Management of New Product Development
Policy and Strategy Concentration (25-30)
ECON 50	Economic Analysis I	5
ECON 51	Economic Analysis II	5
MS&E; 190	Methods and Models for Policy and Strategy Analysis	3
At least four of the following courses, including at least one course in policy and at least one course in strategy:		12-17
Policy:
MS&E; 193	Technology and National Security (WIM) 6
MS&E; 197	Ethics and Public Policy (WIM ) 6
MS&E; 243	Energy and Environmental Policy Analysis
MS&E; 248	Economics of Natural Resources
MS&E; 292	Health Policy Modeling
Strategy:
ENGR 145	Technology Entrepreneurship
MS&E; 175	Innovation, Creativity, and Change
MS&E; 266	Management of New Product Development
Production and Operations Management Concentration (25-29) 4
ECON 50	Economic Analysis I	5
ECON 51	Economic Analysis II	5
MS&E; 140	Accounting for Managers and Entrepreneurs	3-4
MS&E; 152	Introduction to Decision Analysis (WIM)	3-4
Select three of the following:		9-11
MS&E; 142	Introductory Financial Analysis 4
MS&E; 245G	Finance for Non-MBAs
MS&E; 262	Supply Chain Management
MS&E; 264	Sustainable Product Development and Manufacturing
MS&E; 266	Management of New Product Development
MS&E; 268	Operations Strategy

1	Math and Science must total a minimum of 45 units. Electives must come from the School of Engineering approved list, or, PHYSICS 25 Modern Physics, PHYSICS 26 Modern Physics Laboratory; PSYCH 55 Introduction to Cognition and the Brain, PSYCH 70 Introduction to Social Psychology. AP credit for Chemistry, Mathematics, and Physics may be used.
2	Students may petition to place out of CS 106A Programming Methodology.
3	Students may not count 134 for both core and the Organization, Technology, and Entrepreneurship concentration.
4	Students may not count 142 or 260 for both core and concentration. Students doing the Financial and Decision Engineering concentration must take 142 for core, and may also take 260 as a concentration elective.  Students doing the Operations Research concentration must take both 142 and 260 (one for core, and one for concentration).  Students doing the Production and Operations Management concentration must take 260 for core, and may also take 142 as a concentration elective.
5	Engineering fundamentals, engineering depth (core), and engineering depth (concentration) must total a minimum of 60 units.
6	Courses used to satisfy the Math, Science, Technology in Society, or Engineering Fundamental requirement may not also be used to satisfy an engineering depth requirement.

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

Materials Science and Engineering (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.

Requirements

Course List

		Units
Mathematics (10)
20 units minimum; see Basic Requirement 1
Select one of the following:		5
MATH 51	Linear Algebra and Differential Calculus of Several Variables
CME 100/ENGR 154	Vector Calculus for Engineers
Select one of the following:
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
Science (20)
20 units minimum; see Basic Requirement 2		20
Must include a full year of physics or chemistry, with one quarter of study in the other subject
Technology in Society (3-5)
One course; see Basic Requirement 4		3-5
Engineering Fundamentals (10-13)
Three courses minimum; see Basic Requirement 3
Select one of the following:		4
ENGR 50	Introduction to Materials Science, Nanotechnology Emphasis 1
ENGR 50E	Introduction to Materials Science - Energy Emphasis 1
ENGR 50M	Introduction to Materials Science, Biomaterials Emphasis 1
At least two additional courses		6-9
Materials Science and Engineering Depth (50)
Materials Science Fundamentals:
MATSCI 153	Nanostructure and Characterization	4
MATSCI 154	Thermodynamics of Energy Conversions at the Nanoscale 3	4
MATSCI 155	Nanomaterials Synthesis	4
MATSCI 157	Quantum Mechanics of Nanoscale Materials	4
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 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	Imperfections in Solids
MATSCI 197	Rate Processes in Materials
MATSCI 198	Mechanical Properties of Materials
MATSCI 199	Electronic and Optical Properties of Solids
Engineering Depth		16
One of the following courses:
MATSCI 161	Nanocharacterization Laboratory
MATSCI 164	Electronic and Photonic Materials and Devices Laboratory (WIM)
Three of the following courses:
MATSCI 160	Nanomaterials Laboratory
MATSCI 162	X-Ray Diffraction Laboratory
MATSCI 163	Mechanical Behavior Laboratory
MATSCI 165	Nanoscale Materials Physics Computation Laboratory
Focus Area Options 2		10

Footnotes

1	If both ENGR 50 Introduction to Materials Science, Nanotechnology Emphasis, ENGR 50E Introduction to Materials Science - Energy Emphasis, and/or ENGR 50M Introduction to Materials Science, Biomaterials Emphasis are taken, one may be used for the Materials Science Fundamentals requirement.
2	Focus Area Options; 10 units from one of the following areas below
3	ENGR 30 Engineering Thermodynamics may be substituted for MATSCI 154 Thermodynamics of Energy Conversions at the Nanoscale as long as the total MATSCI program units total 50 or more.

Focus Area Options

Course List

		Units
Bioengineering (28)
BIOE 220	Introduction to Imaging and Image-based Human Anatomy	3
BIOE 281	Biomechanics of Movement	3
BIOE 284B	Cardiovascular Bioengineering	3
BIOE 333	Interfacial Phenomena and Bionanotechnology	3
BIOE 381	Orthopaedic Bioengineering	3
MATSCI 190	Organic and Biological Materials	4
MATSCI 380	Nano-Biotechnology	3
MATSCI 381	Biomaterials in Regenerative Medicine	3
MATSCI 382	Bio-chips, Imaging and Nanomedicine	3
Chemical Engineering (15)
CHEM 171	Physical Chemistry	3
CHEMENG 130	Separation Processes	3
CHEMENG 140	Micro and Nanoscale Fabrication Engineering	3
CHEMENG 150	Biochemical Engineering	3
CHEMENG 160	Polymer Science and Engineering	3
Chemistry (24)
CHEM 151	Inorganic Chemistry I	3
CHEM 153	Inorganic Chemistry II	3
CHEM 171	Physical Chemistry	3
CHEM 173	Physical Chemistry	3
CHEM 175	Physical Chemistry	3
CHEM 181	Biochemistry I	3
CHEM 183	Biochemistry II	3
CHEM 185	Biochemistry III	3
Electronics & Photonics (32)
EE 101A	Circuits I	4
EE 101B	Circuits II	4
EE 102A	Signal Processing and Linear Systems I	4
EE 102B	Signal Processing and Linear Systems II	4
EE 116	Semiconductor Device Physics	3
EE 134	Introduction to Photonics	4
EE 136	Introduction to Nanophotonics and Nanostructures	3
EE 141	Engineering Electromagnetics	3
MATSCI 343	Organic Semiconductors for Electronics and Photonics	3
Energy Technology (15-16)
EE 293A	Fundamentals of Energy Processes	3-4
EE 293B	Fundamentals of Energy Processes	3
MATSCI 302	Solar Cells	3
MATSCI 303	Principles, Materials and Devices of Batteries	3
ME 260	Fuel Cell Science and Technology	3
Materials Characterization Techniques (9)
MATSCI 321	Transmission Electron Microscopy	3
MATSCI 323	Thin Film and Interface Microanalysis	3
MATSCI 325	X-Ray Diffraction	3
MATSCI 320 and 326 (not offered in 2012-2013) may also be counted towards this focus area.
Mechanical Behavior & Design (25)
AA 240A	Analysis of Structures	3
AA 240B	Analysis of Structures	3
AA 256	Mechanics of Composites	3
MATSCI 198	Mechanical Properties of Materials	4
MATSCI 358	Fracture and Fatigue of Materials and Thin Film Structures	3
ME 80	Mechanics of Materials	4
or CEE 101A	Mechanics of Materials
ME 203	Design and Manufacturing	4
ME 294	Medical Device Design	1
Nanoscience (21)
BIOE 333	Interfacial Phenomena and Bionanotechnology	3
EE 136	Introduction to Nanophotonics and Nanostructures	3
ENGR 240	Introduction to Micro and Nano Electromechanical Systems	3
MATSCI 316	Nanoscale Science, Engineering, and Technology	3
MATSCI 346	Nanophotonics	3
MATSCI 347	Introduction to Magnetism and Magnetic Nanostructures	3
MATSCI 380	Nano-Biotechnology	3
MATSCI 320 (not offered in 2012-2013) may also be counted towards this focus area.
Physics (39)
PHYSICS 70	Foundations of Modern Physics	4
PHYSICS 110	Advanced Mechanics	4
PHYSICS 120	Intermediate Electricity and Magnetism I	4
PHYSICS 121	Intermediate Electricity and Magnetism II	4
PHYSICS 130	Quantum Mechanics	4
PHYSICS 131	Quantum Mechanics II	4
PHYSICS 134	Advanced Topics in Quantum Mechanics	4
PHYSICS 170	Thermodynamics, Kinetic Theory, and Statistical Mechanics I	4
PHYSICS 171	Thermodynamics, Kinetic Theory, and Statistical Mechanics II	4
PHYSICS 172	Solid State Physics	3
Self-Defined Option (10)
Petition for a self-defined cohesive program, minimum of 10 units.		10

These requirements are subject to change. The final requirements are published with sample programs in the Handbook for Undergraduate Engineering Programs.

Mechanical Engineering (ME)

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

Requirements

		Units
Mathematics (8-10)
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
Science (4)
20 units minimum; see Basic Requirement 2 1
CHEM 31X	Chemical Principles	4
or ENGR 31	Chemical Principles with Application to Nanoscale Science and Technology
Technology in Society (0)
one course from approved ME list; see Basic Requirement 4 2
Engineering Fundamentals (11-15)
Three courses minimum; see Basic Requirement 3
ENGR 40	Introductory Electronics	5
ENGR 70A	Programming Methodology (same as CS 106A)	3-5
Fundamentals Elective 3		3-5
Engineering Depth (51-53)
Minimum of 68 Engineering Science and Design ABET units; see Basic Requirement 5
ENGR 14	Intro to Solid Mechanics	4
ENGR 15	Dynamics	3
ENGR 30	Engineering Thermodynamics	3
ENGR 102M	Technical/Professional Writing for Mechanical Engineers 4	1
ME 70	Introductory Fluids Engineering	4
ME 80	Mechanics of Materials	4
ME 101	Visual Thinking	4
ME 103D	Engineering Drawing and Design 4	1
ME 112	Mechanical Systems Design	4
ME 113	Mechanical Engineering Design	4
ME 131A	Heat Transfer	3-4
ME 131B	Fluid Mechanics: Compressible Flow and Turbomachinery	4
ME 140	Advanced Thermal Systems	5
ME 161	Dynamic Systems, Vibrations and Control	3-4
ME 203	Design and Manufacturing 4	4

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 Statistics (CME 106 Introduction to Probability and Statistics for Engineers or STATS 110 Statistical Methods in Engineering and the Physical Sciences or 116 is required (neither STATS 60 Introduction to Statistical Methods: Precalculus nor STATS 160 fulfill statistics requirement). 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 31X Chemical Principles but at a slower pace. CHEM 31X Chemical Principles or ENGR 31 Chemical Principles with Application to Nanoscale Science and Technology are recommended.
2	ME majors must choose their TIS course from the following list: ME 190 (recommended; offered every other year), STS 101 Science, Technology, and Contemporary Society, STS 110 Ethics and Public Policy, or STS 115 Ethical Issues in Engineering, or CS 181(prerequisite of CS 106B or X).
3	ME Fundamental elective may not be a course counted for other requirements. Students may opt to use ENGR 14 Intro to Solid Mechanics, ENGR 15 Dynamics, or ENGR 30 Engineering Thermodynamics from the required depth courses as the third fundamental class. However, total units for Engineering Topics (Fundamentals + Depth) must be a minimum of 68 units; additional options courses may be required to meet unit requirements.
4	All three courses (ENGR 102M Technical/Professional Writing for Mechanical Engineers, ME 103D Engineering Drawing and Design, ME 203 Design and Manufacturing) must be taken concurrently in order to fulfill the Writing in the Major (WIM) requirement.

Options to complete the ME depth sequence: see the list of options in the ME major section of the Handbook for Undergraduate Engineering Programs.

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

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, and personal expression, and emphasizes brainstorming and need finding. 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 emphasis is placed on conceptual thinking, creativity, risk taking, and aesthetics. Students are taught to use design processes to resolve constraints arising from technical, human, aesthetic, and business concerns. The course work provides students with the skills necessary to carry projects from initial concept to completion of working prototypes. The program prepares students for careers in industry and for graduate study.

Requirements

		Units
Mathematics and Science (43-45)		43-45
Mathematics (20)		20
20 units minimum
Recommended: one course in Statistics
Science (20-22)
23 units minimum: 8 units of social science (inc PSYCH 1) and 15 units must be from School of Engineering approved list 1
PHYSICS 41	Mechanics	4
PHYSICS 43	Electricity and Magnetism	4
PHYSICS 45	Light and Heat	4
PSYCH 1	Introduction to Psychology	5
PSYCH elective from courses numbered 20-95		3-5
Technology in Society (3)
ME 120	History and Philosophy of Design	3
Engineering Fundamentals (13-15)
ENGR 40	Introductory Electronics	5
ENGR 70A	Programming Methodology	5
Fundamentals Elective 2		3-5
Product Design Engineering Depth (53-59)
Three Art Studio courses numbered 100 or higher		9-15
ENGR 14	Intro to Solid Mechanics	4
ENGR 102M	Technical/Professional Writing for Mechanical Engineers 3	1
ME 80	Mechanics of Materials	4
ME 101	Visual Thinking	4
ME 103D	Engineering Drawing and Design 3	1
ME 110	Design Sketching (May be repeated for credit)	1
ME 112	Mechanical Systems Design	4
ME 115A	Introduction to Human Values in Design	3
ME 115B	Product Design Methods	3
ME 115C	Design and Business Factors 4	3
ME 116	Advanced Product Design: Formgiving	4
ME 203	Design and Manufacturing 3	4
ME 216A	Advanced Product Design: Needfinding	4
ME 216B	Advanced Product Design: Implementation	4

1	School of Engineering approved science list available at https://ughb.stanford.edu.
2	Select one of the following: ENGR 10, ENGR 15, ENGR 20, ENGR 25B or ENGR 25E, ENGR 30, ENGR 50 or ENGR 50E or ENGR 50M, ENGR 60, ENGR 62, ENGR 80, ENGR 90
3	These three courses (ENGR 102M Technical/Professional Writing for Mechanical Engineers, ME 103D Engineering Drawing and Design, ME 203 Design and Manufacturing) should be taken concurrently in order to fulfill the Writing in the Major (WIM) requirement.
4	One quarter abroad may substitute for ME 115C.

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