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):

- MATH 101: Calculus with Problem Solving
- MATH 111: Introduction to Calculus
- MATH 120: Calculus 2
- MATH 210: Calculus 3
- MATH 211: Introduction to Multivariable Calculus
- MATH 232: Linear Algebra
- MATH 236: Mathematical Structures

**B. Electives**(36 credits): Six courses from among:

- CS 252: Algorithms
- CS 254: Computability and Complexity
- CS 352: Advanced Algorithms
·
*not offered in 2023-24* - MATH 240: Probability
- MATH 241: Ordinary Differential Equations
- MATH 244: Geometries
- MATH 251: Chaotic Dynamics
·
*not offered in 2023-24* - MATH 261: Functions of a Complex Variable
·
*not offered in 2023-24* - MATH 265: Probability
·
*not offered in 2023-24* - MATH 271: Computational Mathematics
- MATH 275: Introduction to Statistical Inference
·
*not offered in 2023-24* - MATH 282: Elementary Theory of Numbers
- MATH 295: Combinatorial Games
·
*not offered in 2023-24* - MATH 295: Introduction to Computational Algebraic Geometry
- MATH 295: Mathematics and Democracy
·
*not offered in 2023-24* - MATH 295: Mathematics of Climate
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*not offered in 2023-24* - MATH 295: Numerical Analysis
·
*not offered in 2023-24* - MATH 295: Seminar in Set Theory
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*not offered in 2023-24* - MATH 312: Elementary Theory of Numbers
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*not offered in 2023-24* - MATH 315: Topics Probability/Statistics: Bayesian Statistics
·
*not offered in 2023-24* - MATH 321: Real Analysis I
- MATH 331: Real Analysis II
·
*not offered in 2023-24* - MATH 332: Advanced Linear Algebra
- MATH 333: Combinatorial Theory
·
*not offered in 2023-24* - MATH 341: Partial Differential Equations
- MATH 342: Abstract Algebra I
- MATH 344: Differential Geometry
·
*not offered in 2023-24* - MATH 349: Methods of Teaching Mathematics
- MATH 352: Galois Theory
- MATH 354: Topology
- MATH 361: Complex Analysis
- MATH 395: Algebraic Geometry Seminar
·
*not offered in 2023-24* - MATH 395: Geometric Group Theory
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*not offered in 2023-24* - MATH 395: Introduction to Analytic Number Theory
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*not offered in 2023-24* - STAT 250: Introduction to Statistical Inference
- STAT 320: Time Series Analysis
- STAT 340: Bayesian Statistics
·
*not offered in 2023-24*

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 312: Elementary Theory of Numbers
·
*not offered in 2023-24* - MATH 332: Advanced Linear Algebra
- MATH 342: Abstract Algebra I
- MATH 352: Galois Theory
- MATH 395: Geometric Group Theory
·
*not offered in 2023-24*

- Analysis:

- MATH 251: Chaotic Dynamics
·
*not offered in 2023-24* - MATH 261: Functions of a Complex Variable
·
*not offered in 2023-24* - MATH 321: Real Analysis I
- MATH 331: Real Analysis II
·
*not offered in 2023-24* - MATH 361: Complex Analysis
- MATH 395: Introduction to Analytic Number Theory
·
*not offered in 2023-24*

- Applied Mathematics:

- MATH 240: Probability
- MATH 241: Ordinary Differential Equations
- MATH 265: Probability
·
*not offered in 2023-24* - MATH 271: Computational Mathematics
- MATH 275: Introduction to Statistical Inference
·
*not offered in 2023-24* - MATH 295: Mathematics of Climate
·
*not offered in 2023-24* - MATH 315: Topics Probability/Statistics: Bayesian Statistics
·
*not offered in 2023-24* - MATH 341: Partial Differential Equations
- STAT 250: Introduction to Statistical Inference
- STAT 320: Time Series Analysis
- STAT 340: Bayesian Statistics
·
*not offered in 2023-24*

- Discrete Structures:

- CS 252: Algorithms
- CS 254: Computability and Complexity
- CS 352: Advanced Algorithms
·
*not offered in 2023-24* - MATH 333: Combinatorial Theory
·
*not offered in 2023-24*

- Geometry and Topology:

- MATH 244: Geometries
- MATH 295: Introduction to Computational Algebraic Geometry
- MATH 344: Differential Geometry
·
*not offered in 2023-24* - MATH 354: Topology

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.