The Minor in Mathematics

General Information
 
The mathematics minor incorporates a broad range of courses touching many of the important areas of mathematics. In each course, a grade of C- or better is required (CR/NCR = "pass/fail" not allowed) for the course to count toward the minor requirements.  The only exception is for courses (usually Calculus I or II) for which credit was awarded through AP, IB, or a similar program.

An upper level course always refers to a mathematics course numbered 300 or above.

Math Minor Requirements

Required Lower Level Courses

Math 131-132-233                      Calculus I-II-III 
One of CSE 131 or 200  (students who have already taken CSE 126 may use that course).  Please read the comments on course options in Computer Science (CSE). This advice was formulated with the help of Professor Ron Cytron of the CSE Department.

Required Upper Level Math Courses

Math 309                                   Matrix Algebra 

Math 318 or Math 308 
              Calculus of Several Variables
  or  Mathematics for the Physical Sciences

Note that Math 318 has Math 309 as a prerequisite. It is not the equivalent of Math 233.  Most lower level courses from other colleges with names similar to "Multivariable Calculus" will not serve to replace Math 318.  Math 318 and Math 308 CANNOT both be counted toward a minor (or major) program. 

Math 318 is offered both semesters but Math 308 is offered only in the spring semester.

Math 3200                                  Elementary to Intermediate Statistics with Data Analysis

One additional upper level mathematics course

This course can be chosen in accordance with your other interests.  However, 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.


In fulfilling the Math Minor requirements, all of the following apply:
  • Courses transferred from a 2-year college (such as a community college) cannot count as upper level courses toward the minor. If, for example, you took a community college course that seemed roughly similar to 309, we might transfer the credit “as” 309 but the course would not count toward the minor.  However, in such a case, you may ask the Mathematics Department (in advance) to allow you to substitute an additional elective in place of 309.
  • Both College and Department rules require that at least two of the upper level courses for the minor be taken in residence at Washington University.
  • Double counting: at least two of the four upper level courses counted toward the minor must not be counted to fulfill the requirements (including "elective requirements") of any other major, minor, or program.
  • Math 320 (no longer offered) was renumbered a few years ago as Math 2200 (not an upper level course), and Math 3200 was created as a stronger version of the old Math 320.  Students with Math 320 already on their records are "grandfathered" and may still count Math 320 as an upper level course toward the minor. If such a student then takes Math 3200, s/he cannot count both 320 and 3200 toward the upper level minor requirements. 
  • Students who have taken Math 2200 (or have credit for an equivalent course) may, if they like, substitute Math 493 (Probability) for Math 3200.  However, we feel that a statistics course above the most elementary level should be a part of every minor -- so students without 2200 (or the equivalent) cannot make this substitution.  
  • At least three of the 4 upper level courses required in the minor must be courses "home-based" in the Mathematics Department. 

          A course is home-based in Mathematics if

  • i)   The department number of the course is L24, and
  • ii)  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-317, ESE-326, QBA 120-121, L24-501C (home-based in the Physics Department), L24-440C (home-based in the Department of Computer Science, L24-403C (home-based in the Philosophy Department)
  • A minor may choose to use one of the following non-"home-based" courses in the minor:
  • ESE 326 may substitute for Math 3200.  In that case, Math 3200 cannot also count toward the minor.
  • For Business School students, the pair QBA (120+121) may substitute for Math 3200  In that case, Math 3200 cannot also be counted toward the minor. 
  • Whether or not ESE 326 (or QBA 120-121) is actually counted toward the minor requirements, a student who has successfully completed those courses cannot also count Math 320 or 3200 toward the minor requirements.
  • ESE 317, Economics 413, CSE 441T, or one of Physics 501-502-503-504 may be used as the upper level elective in the minor.   ESE 317 cannot substitute for Math 318 or Math 308
  • Any upper level crosslisted course of the form L24 - xxxC