The Mathematics major requires 72 credits:

  •  A. Required Core Courses (take either Mathematics 101 or 111 and either Mathematics 210 or 211 and all of remaining courses listed):
  •  B. Electives (36 credits): Six courses from among:
    • CS 252 Algorithms
    • CS 254 Computability and Complexity
    • CS 352 Advanced Algorithms (not offered in 2022-23)
    • MATH 240 Probability
    • MATH 241 Ordinary Differential Equations
    • MATH 244 Geometries (not offered in 2022-23)
    • MATH 251 Chaotic Dynamics
    • MATH 261 Functions of a Complex Variable
    • MATH 271 Computational Mathematics
    • MATH 282 Elementary Theory of Numbers
    • MATH 295 Mathematics and Democracy (not offered in 2022-23)
    • MATH 295 Mathematics of Climate (not offered in 2022-23)
    • MATH 321 Real Analysis I
    • MATH 331 Real Analysis II
    • MATH 332 Advanced Linear Algebra (not offered in 2022-23)
    • MATH 333 Combinatorial Theory (not offered in 2022-23)
    • MATH 341 Partial Differential Equations
    • MATH 342 Abstract Algebra I
    • MATH 344 Differential Geometry
    • MATH 349 Methods of Teaching Mathematics (not offered in 2022-23)
    • MATH 352 Topics in Abstract Algebra
    • MATH 354 Topology (not offered in 2022-23)
    • MATH 361 Complex Analysis (not offered in 2022-23)
    • MATH 395 Introduction to Analytic Number Theory
    • MATH 395 Geometric Group Theory
    • STAT 250 Introduction to Statistical Inference
    • STAT 320 Time Series Analysis (not offered in 2022-23)
    • STAT 340 Bayesian Statistics

At least four of these electives must be Carleton courses with a MATH designation. At least three of the following five areas of mathematics must be represented by the six electives (36 credits).

  • Algebra:
    • MATH 282 Elementary Theory of Numbers
    • MATH 332 Advanced Linear Algebra (not offered in 2022-23)
    • MATH 342 Abstract Algebra I
    • MATH 352 Topics in Abstract Algebra
  • Analysis:
  • Applied Mathematics:
  • Discrete Structures:
    • CS 252 Algorithms
    • CS 254 Computability and Complexity
    • CS 352 Advanced Algorithms (not offered in 2022-23)
    • MATH 333 Combinatorial Theory (not offered in 2022-23)
  • Geometry and Topology:
    • MATH 244 Geometries (not offered in 2022-23)
    • MATH 344 Differential Geometry
    • MATH 354 Topology (not offered in 2022-23)

Of the six advanced courses, at least four must be Carleton courses with a Mathematics designation. Advanced courses substituted for Mathematics 232 or Mathematics 236 must also be Carleton courses with a Mathematics designation.

In addition, each senior major must complete an integrative exercise, Mathematics 400 (6 credits) which can be either a group or individual project. Majors must also accumulate eight talk credits during their junior and senior year by attending colloquia and the comps talks of their fellow mathematics or statistics majors. Students who major in both Mathematics and Statistics must accumulate a total of thirteen talk credits. We encourage majors to participate in the numerous activities that take place in the department.

Potential majors with especially strong preparation may petition the department for permission to substitute an advanced course for Mathematics 232 and/or for Mathematics 236. Advanced courses substituted for Mathematics 232 or Mathematics 236 must also be Carleton courses with a Mathematics designation.

There are many patterns of courses for the major depending upon a student’s mathematical interests and career goals. A guide for majors, which supplies information about suitable patterns of courses, is available on the Mathematics and Statistics Department website.

Major under Combined Plan in Engineering:

In addition to completing requirements for the mathematics major listed above including Mathematics 241 and 341, the student should take the following courses required for admission to engineering schools: Two terms of 100-level Physics, Chemistry 123, 224, and Computer Science 111.