### To declare a minor in mathematics

- familiarize yourself with the requirements and options for a math minor
- sign on to WebStac and use the Major Programs link to request a minor in mathematics
- make an appointment to meet with Dr. Blake Thornton (about 15 minutes) in room 108A, Cupples I.

*Each student has the final responsibility to be sure the requirements for the minor are fulfilled correctly. Be sure to read the rules about double counting, course substitutions, etc. that are listed below, following the requirements. If there is ever any confusion or doubt, please confer early on with your minor advisor or the Associate Director of Undergraduate Studies, Dr. Blake Thornton*

### Minor Requirements

The mathematics minor incorporates a broad range of courses touching many of the important areas of mathematics.

#### Lower Level Courses

- Math 131-132-233 (Calculus I-II-III)
*Math 233 can be replaced in the requirements by Math 201, last offered in FL2014, or by Math 204 (first offered in SP2016)* - CSE 131,.
*Students who have take CSE 200, no longer offered by the CSE Department, may count that course in place of CSE 131.*It might be useful to read these comments about choosing CSE courses which were formulated with the help of Professor Ron Cytron of the CSE Department.

#### Upper Level Courses (4)

- Math 309 (Matrix Algebra)
- Math 318 (Calculus of Several Variables)
__or__Math 308 (Mathematics for the Physical Sciences)

__Notes on 318/308____:__

*i) Math 318 has Math 233 and Math 309 as prerequisites. Math 318 can cover a variety of topics in multivariable calculus. It uses some matrix algebra, and is more rigorous than Math 233. it is not the equivalent of Math 233, and most lower level courses from other colleges with names similar to "Multivariable Calculus" cannot replace Math 318. Math 318 is offered in both fall and spring semesters*

*ii) Math 308 has Math 233 and Math 217 as prerequisites. Math 217, as a 200-level courses, does not count as the upper **level elective in the minor. But a vast majority of students who take 308 instead of 318 are in physics or engineering, and these students would likely be** taking 217 anyway as required for physics or engineering. Math 308 is offered only in the spring semester.*

iii) *Math 318 and Math 308 cannot both be counted toward fulfilling minor (or major) requirements. *

- Math 3200 (Elementary to Intermediate Statistics with Data Analysis)
- One additional upper level elective mathematics course
*This can be any such course that interests you or that fits well with another major or minor. From a mathematics point of view, Math 310 (Foundations for Higher Mathematics) is one nice way to round out the minor with an introduction to proofs and a chance to look at some topics that most college math students should see.*

### Please read the following additional information about meeting the course requirements for a mathematics minor

i) "Upper level" mathematics course means one whose course number begins with a "3" or higher: L24 Math 3***. A course with a lower number does not count toward upper level mathematics requirements even if it is cross-listed as an upper level course in another department or program: for example, if Math 2200 were cross-listed by another department as Lxx-3xx, then registering for Lxx-3xx would not satisfy an upper-level mathematics requirement.

ii) For all courses that count toward the minor, including lower level courses, a grade of C- or better is required. The "pass/fail" grade option is not allowed. The only exception is for courses (usually Calculus I or Calculus II) for which credit was awarded through AP, IB, or a similar program.

If a student takes a required course for a “pass/fail” grade, perhaps before deciding to do a major or minor, then: a) if we can verify from the course instructor that the grade in the course would have been a C- or better, then the student can choose another course at the same level or higher (300-level, 400-level, …) to replace the course taken P/F, or b) the student can retake the course for a letter grade. In the latter case, the student might not be able to count the course twice (6 units) toward the required 120 units for the degree.

iii) Courses transferred from other accredited colleges and universities can be counted toward the minor with departmental approval. However

- Courses transferred from a 2-year college (such as a community college) cannot be used to satisfy upper level requirements. For example, if you took a community college course that seemed roughly similar to Math 309, we might transfer the credit as "Math 309" but the course would not count toward the minor. However, in such a case, you could ask the Mathematics Department for permission to substitute an additional elective in place of Math 309 rather than retaking the course.
- At least 6 of the 12 upper level units required in a minor must be earned at Washington University or in a Washington University approved Overseas Study Program
- Courses from University College cannot be used. Any exceptions must be made, in advance, by the Department's Undergraduate Committee. Approval requires a compelling special need for taking the course through University College and the Committee's judgment of the appropriateness of the course in a particular semester. If you request and receive this approval, please request and retain a written or email copy of the approval to avoid any possible confusion later.

v) Double counting

__For students who entered WU full time before Fall 2015__(that is,__Class of 2018 or earlier__) at least 2 of the 4 upper level courses counted toward the minor must not be used to fulfill the requirements (including "elective requirements") of any other major, minor, or program.__For students who enter WU full time in Fall 2015__(that is,__Class of 2019 or later__) upper level courses counted for requirements in an ArtSci major or minor cannot be credits counted toward the requirements of any other major or minor--in other words, no double-counting of upper level credits across majors or minors is allowed. This applies even if the "other major" or "other minor" is not in Arts & Sciences.

vi) Approved course substitutions in the minor from other departments are listed below. For every minor, __at most one__ approved substitution can be made using a course not home-based in the Department of Mathematics.

*A course is called "home-based" in mathematics if the department number of the course is L24, and the course number does not end in a "C". (A terminal "C" indicates that the course belongs to another department but is cross-listed as a math course.) For example, the following courses are not home-based in the Mathematics Department: ESE-319, ESE-326, QBA 120-121, L24-501C (home-based in the Physics Department), L24-440C (home-based in the Department of Computer Science & Engineering), L24-403C (home-based in the Philosophy Department)*.

Note that any such subsitution is __subject to the double-counting rules__ stated above. For example, the substition of ESE 326 for Math 3200 is still allowed, __but__ for students who entered WU in Fall 2015 or later, ESE326 cannot be counted toward the requirements of any other major or minor.

### Approved "one-only" course substitutions that satisfy minor requirements

- In place of Math 3200: ESE 326. Note that Math 3200 introduces students to some statistical software, including SAS, while ESE 326 does not. Therefore substituting ESE 326 may be a mild disadvantage for students planning to take certain upper level statistics courses. ESE 326 and Math 3200
__cannot both be used__to satisfy minor requirements. - For the upper level elective: any course from another department that is cross-listed as a mathematics L24 course: for example, L24-501C, L24-440C, or L24-403C. Such L24 courses always end with a "C".
- For the upper level elective: Philosophy 401, 403 or 404 (Set Theory, Mathematical Logic I or II)
- For the upper level elective: Economics 413 (Econometrics) or Econ 4151 (Applied Econometrics)
- For the upper level elective: ESE 319 (Engineering Mathematics B), but NOT ESE 318 (Engineering Mathematics A)
*Note that in fall 2013, the ESE Department discontinued the course ESE 317 (Engineering Mathematics). Students who had already taken ESE 317 may count it for the upper level elective in the minor. .* - For the upper level elective: ESE 403 (Operations Research)
- For the upper level elective: ESE 411 (Numerical Methods)