• learn a broad range of mathematical topics;
• increase your ability to read and to write mathematical proofs;
• become a competent mathematical problem solver;
• be exposed to the mathematical literature available in our excellent library;
• become aware of the connections between the various branches of mathematics, and between mathematics and other disciplines.

REQUIREMENTS FOR THE MAJOR

Mathematics major

The basic calculus/linear algebra sequence (Math 121, 211, and 232) and the course on mathematical structures (Math 236) are required of all majors. Also, each major must take at least 6 courses (36 credits) numbered above 236 chosen from at least three of the following areas (mathematics courses are listed by numbers only to save space; computer science course numbers are preceded by "CS.'') Consult the catalog for course descriptions.

• Algebra: e.g., 312, 332, 342, 352
• Analysis: e.g., 251, 311, 321, 331, 351
• Applied Mathematics: e.g., 241, 245, 265, 275, 315, 341
• Discrete Structures: e.g., CS252, CS254, 333
• Geometry/Topology: e.g., 244, 344, 354

Students must also complete the Senior Integrative Exercise.

Statistics track 

A Carleton student will be able to obtain a major in mathematics following a statistics track by taking the following courses above Calculus:

Math 232, 236, 245, 265, 275, 315 plus two math electives above 236. At least one of these courses must be taken outside of the Applied Mathematics area. CS 111 (Introduction to Computer Science) is also recommended.

It is strongly recommended that students on this track engage in some data analysis learning experience outside the classroom such as an internship involving data analysis, a research experience with a statistician, either on or off campus, or a comps project that is explicitly statistical in nature. Students interested in graduate school in statistics are advised to take Math 321 (Real Analysis I).

Students must also complete the Senior Integrative Exercise.

Senior Integrative Exercise ("Comps"): Each major must carry out a comprehensive exercise. The central part of senior comps is a two-term directed study experience, with an emphasis on mathematical or statistical depth. Most years both small-group and individual projects are available. Potential projects include original research, directed reading on an advanced topic, applied data analysis in cooperation with a local corporation, translating an historic mathematical text, and collaborating with a faculty member on a math video or a textbook chapter.