Nearly all engineering majors share similar requirements in Mathematics, Science, Technology in Society, and Engineering Fundamentals. The Undergraduate Council of the School of Engineering is responsible for establishing lists of courses certified as satisfying these requirements. These lists are presented in the following sections. Other appropriate courses (for example, more advanced courses) may be used to satisfy these requirements. However, their use must be approved by petition. Petition forms are available on the Terman/School of Engineering File Server-Guest logon, Student Affairs Section and in the information rack outside the School of Engineering's Information Office, Terman 202, and should be submitted to the Senior Associate Dean for Student Affairs in the Office of Student Affairs, Terman 208. We highly recommend that a student obtain petition approval prior to enrolling in a course she or he wishes to use in satisfying one of these requirements. Further information is available in the Office of Student Affairs.

THE MATHEMATICS REQUIREMENT

Most students interested in an Engineering Major should begin a calculus sequence in their freshmen year. The Department of Mathematics has changed their introductory course offerings, and now provides four entry sequences into the calculus: the Math 20 series and the Math 40 series for single variable calculus, and the Math 50 and the Math 50H series for multivariable calculus.

1. Math 41 and 42 presents single variable calculus. Differential calculus is covered in the first quarter, and integral calculus in the second.
2. Math 19, 20, and 21 covers the same material as Math 41 and 42, in three quarters instead of two.
3. Math 51, 52, and 53 covers differential and integral calculus in several variables, linear algebra, and ordinary differential equations. These courses are taught in an integrated fashion, with differential calculus of several variables and linear algebra being taught in Math 51, integral calculus with linear algebra in Math 52, and differential equations, including matrix methods for solving systems, in Math 53. These courses are designed for incoming freshmen with 10 units of AP credit. They are rigorous and challenging, so students who are unsure of their mathematics preparation should consult with an advisor in the mathematics department. A strong foundation in Mathematics is the basis for a successful major in Engineering.
4. Math 51H, 52H, and 53H covers the same material as in 51, 52, and 53, but with more emphasis on theory and rigor.

The introductory courses in Linear Algebra are Math 103 and Math 113. The material in Math 103 is covered in the sequence Math 51, 52, and 53.

The Mathematics requirements for Departmental and School of Engineering majors are delineated in the detailed Program Requirements section at the back of the Handbook. In general they require a number of specific and elective courses from the following list of approved courses. Individually Designed Majors must include at least 21 units from the list. All engineering students should check the detailed Program Requirements pages for their major to see which math courses are recommended or required (such courses are usually prerequisites for required courses in Engineering Depth).

In ABET Accredited programs, mathematics through differential and integral calculus and differential equations must be included. The accredited engineering programs at Stanford are Chemical Engineering, Civil Engineering, Electrical Engineering, Industrial Engineering, and Mechanical Engineering, all at the Bachelor of Science level.

Note: Students in ABET Accredited programs are required to complete a minimum of 45 units combined in Math and Science

MATHEMATICS	TITLE	UNITS
19, 20, 21	Calculus of a Single Variable	3, 3, 4
41, 42	Calculus of a Single Variable	5, 5
51, 52, 53	Calculus of Several Variables	5, 5, 5
51H, 52H, 53H	Honors Calculus	5, 5, 5
103, 104	Matrix Theory and Its Applications	3, 3
106	Introduction to Theory of Functions of a Complex Variable	3
109	Modern Algebra and Its Applications	3
113, 114	Linear Algebra and Matrix Theory	3, 3
115	Fundamental Concepts of Analysis	3
120, 121	Modern Algebra I, II	3, 3
130, 131, 132	Differential Equations	3, 3, 3
or more advanced courses.
STATISTICS	TITLE	UNITS
60 (same as Stat 160)	Introduction to Statistical Methods: Precalculus	5
110	Statistical Methods in Engineering	4
116	Theory of Probability	3-4
or more advanced courses. (Note: Statistics courses numbered below 100 are not acceptable)
COMPUTER SCIENCE	TITLE	UNITS
137	Introduction to Scientific Computing	4
237 A, B, C	Advanced Numerical Analysis	3, 3, 3
260	Concrete Mathematics	3
SCHOOL OF ENGINEERING	TITLE	UNITS
AA 192	Vector and Tensor Analysis	3
ChE 220	Applied Mathematics in Chemical Engineering	3
CE 109	Seminar on Mathematical Lab Applications in CEE	1
CE 203	Stantistical Models in Civil Engineering	4
E 62	Introduction to Optimization	4
E 160	Ordinary Differential Equations and Their Applications	3
EESOR 121	Introduction to Stochastic Processes and Models	4
MS&E 191	Mathematical Methods in Materials Science	3
ME 100 A, B	Differential Equations in Engineering	3, 3
ME 200 A, B, C	Mathematical Methods in Mechanical Engineering	3, 3, 3
SCHOOL OF EARTH SCIENCES	TITLE	UNITS
G&ES 160	Introduction to Statistical Methods for Earth and Enviornmental Sciences	4

The Science requirements for Departmental and School of Engineering majors are delineated in the detailed Program Requirement section at the back of the Handbook. In general they include a number of specific and elective courses from the following list of approved courses. Individually Designed Majors must include at least 17 units from the list. All engineering students should check the detailed Program Requirements pages for their major to see which science courses are recommended or required (such courses are usually prerequisites for required courses in Engineering Depth). Science courses on this list emphasize basic science rather than applied science.

In ABET Accredited Programs, science coursework must include a year of either chemistry or calculus-based physics, and at least one course in both. Accredited engineering programs at Stanford are Chemical Engineering, Civil Engineering, Electrical Engineering, Industrial Engineering, and Mechanical Engineering, all at the Bachelor of Science level.

Note: Students in ABET Accredited programs are required to complete a minimum of 45 units combined in Math and Science

PHYSICS	TITLE	UNITS
41	Mechanics	3
43, 45	Electricity, Magnetism	3, 3
46, 48	Electricity and Magnetism, & Light and Heat Labs	1, 1
47	Light and Heat	4
61, 63, 65	Advanced Freshman Physics	4, 4, 4
Notes: Math 20 or 41 is the listed prerequisite for Physics 41. The Physics 60 series is the advanced sequence for students with AP credit.
CHEMISTRY	TITLE	UNITS
31	Chemical Principles	4
32	The Frontiers of Chemical Science	4
33	Structure and Reactivity	4
35	Organic Monofunctional Compounds	4
36	Chemical Separations	3
135	Physical Chemical Principles	3
Note: Chemistry 30 does NOT meet the science requirement.
BIOLOGICAL SCIENCE	TITLE	UNITS
31, 32, 33	Principles of Biology	5, 5, 5
GEOLOGY	TITLE	UNITS
GE&S 1	Fundamentals of Geology	5
GE&S 2, 3	Earth History	3, 2
Note: A maximum of 5 units of Geology coursework may be counted toward the Science requirement.

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. Individual courses approved for the Technology in Society Requirement are listed below.

The Engineering Fundamentals requirement is satisfied by a set of technically rigorous introductory courses chosen from the various engineering disciplines. These courses serve several purposes. First, they provide a breadth of knowledge about some of the major fields of endeavor within engineering. Second, they furnish students with an opportunity to explore a number of engineering topics before embarking on a specific engineering major. Third, the individual classes each offer a reasonably deep insight into a contemporary technological subject for the interested non-engineer. (They each satisfy Area IIb of the General Education Requirements.)

Majors in Aeronautics and Astronautics, Chemical Engineering, Civil and Environmental Engineering, Electrical Engineering, Industrial Engineering, Materials Science and Engineering, and Mechanical Engineering are required to take five courses in Engineering Fundamentals. Majors in Product Design must complete 15 units from the Engineering Fundamentals list. Computer Science and Computer Systems Engineering majors take E40 and either CS 106A and CS 106B or E70X (CS 106X).

Electrical Engineering majors must complete either CS 106X or CS 106A and CS 106B. However, if a student elects to take CS 106A and CS 106B, CS 106B does not count towards the 45 units of Engineering Depth in Electrical Engineering.

The Departmental Majors in Chemical, Civil, Electrical, Industrial, Materials Science and Engineering, and Mechanical Engineering require 8 units of Experimentation, normally to be included within the units taken for Science, Engineering Fundamentals, and Engineering Depth. That is, with careful planning of the courses taken in those portions of the curriculum, the Experimentation requirement should not involve additional coursework.

The experimentation content, in units, of undergraduate engineering and science courses is shown in the following list. Students may also petition to receive experimentation credits for work performed in other courses (including individual research projects) or even for appropriate summer work, with the approval of their Academic Advisor.