Major Requirements – 72-75 Total Credits
Core Courses – Required 30 Credits
- MATH 101: Calculus with Problem Solving
OR MATH 111: Introduction to Calculus - MATH 120: Calculus 2
- MATH 210: Calculus 3
OR MATH 211: Introduction to Multivariable Calculus - MATH 232: Linear Algebra
OR MATH 134: Linear Algebra with Applications - MATH 236: Mathematical Structures
Elective Courses – Required 36 credits
Six courses from among:
- CS 252: Algorithms
- CS 254: Computability and Complexity
- MATH 240: Probability
- MATH 241: Ordinary Differential Equations
- MATH 244: Geometries
- MATH 251: Chaotic Dynamics (not offered 2025-26)
- MATH 271: Optimization
- MATH 282: Number Theory
- MATH 295.01: Tessellation (26/SP)
- MATH 321: Real Analysis I
- MATH 331: Real Analysis II (not offered 2025-26)
- MATH 332: Advanced Linear Algebra
- MATH 333: Combinatorial Theory (not offered 2025-26)
- MATH 341: Partial Differential Equations
- MATH 342: Abstract Algebra I
- MATH 344: Differential Geometry (not offered 2025-26)
- MATH 349: Methods of Teaching Mathematics
- MATH 352: Galois Theory
- MATH 354: Topology
- MATH 361: Complex Analysis
- MATH 362: Representation Theory of Finite Groups
- STAT 250: Introduction to Statistical Inference
- STAT 320: Time Series Analysis (not offered 2025-26)
- STAT 340: Bayesian Statistics
Elective Requirements
Of the six advanced courses, at least four must be Carleton courses with a Mathematics designation. At least three of the following five areas of mathematics must be represented by the six electives (36 credits).
Algebra
- MATH 282: Number Theory
- MATH 332: Advanced Linear Algebra
- MATH 342: Abstract Algebra I
- MATH 352: Galois Theory
- MATH 362: Representation Theory of Finite Groups
Analysis
- MATH 251: Chaotic Dynamics (not offered 2025-26)
- MATH 321: Real Analysis I
- MATH 331: Real Analysis II (not offered 2025-26)
- MATH 361: Complex Analysis
Applied Mathematics
- MATH 240: Probability
- MATH 241: Ordinary Differential Equations
- MATH 271: Optimization
- MATH 341: Partial Differential Equations
- STAT 250: Introduction to Statistical Inference
- STAT 320: Time Series Analysis (not offered 2025-26)
- STAT 340: Bayesian Statistics
Discrete Structures
- CS 252: Algorithms
- CS 254: Computability and Complexity
- MATH 333: Combinatorial Theory (not offered 2025-26)
Geometry and Topology
- MATH 244: Geometries
- MATH 295.01: Tessellation (26/SP)
- MATH 344: Differential Geometry (not offered 2025-26)
- MATH 354: Topology
Advanced courses substituted for MATH 232: Linear Algebra or MATH 236: Mathematical Structures must also be Carleton courses with a Mathematics designation.
Senior Seminar and Senior Integrative Exercise – Required 6 or 9 credits
In addition, each senior major must complete an integrative exercise. Normally, that integrative exercise is a two-term group project. At the department’s discretion, a one-term independent project may be available. The group project would be MATH 399: Senior Seminar: Senior Seminar (6 credits) and MATH 400: Integrative Exercise: Integrative Exercise (3 credits). The independent project would be MATH 400: Integrative Exercise (6 credits).
Math Talk Credits
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.
Additional Departmental Notes
Normally, a mathematics major must be declared by the last day of finals in the winter term of a student’s junior year.
Potential majors with especially strong preparation may petition the department for permission to substitute an advanced course for MATH 232: Linear Algebra and/or for MATH 236: Mathematical Structures. Advanced courses substituted for MATH 232: Linear Algebra or MATH 236: Mathematical Structures 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, CHEM 123: Principles of Chemistry I & Lab, CHEM 224: Principles of Chemistry II & Lab, and CS 111: Introduction to Computer Science.