The Carleton mathematics major is designed to reflect the depth and diversity of modern mathematics. We seek to provide you with an accurate picture of the nature of mathematics itself and of its connections to other disciplines. Specifically, in our courses, seminars, colloquia, and other activities, you will

• 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

The basic calculus/linear algebra sequence (Math 111, 131, 151 (131 and 151 together are equivalent to the old 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, 265, 275, 341

Discrete Structures: e.g., CS252, CS254, 333

Geometry/Topology: e.g., 244, 344, 354

Senior 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 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.

Note: Any math major in the classes of 2007, 2008, and 2009 has the option of substituting classical (oral) comps for his/her two-term directed study experience. During the fall or winter term of the senior year, a student doing classical comps will give a public presentation on an assigned mathematical topic. She/he will have a total of five weeks to prepare the talk. The student will give a private version of the talk at the three week point to a committee of two faculty members. This presentation gives the student a chance to rehearse the talk and to receive feedback and suggestions from the committee. A student doing classical comps must also pass a three hour exam covering the material in Math 111, 131, 151 (131 and 151 together are equivalent to the old 121), 211, 232, and 236 during the spring term of her/his senior year.