Mathematics

专业详情

Major

The mathematics option is designed to give students an understanding of the broad outlines of modern mathematics, to introduce current research, and to prepare them for advanced work in pure mathematics or related fields. Math students go well beyond the basics to study the structures of algebra, analysis and geometry, as well as the rudiments of combinatorics and set theory. Juniors and seniors are given the opportunity to focus their studies in an area of interest by taking advanced topics courses and through research with faculty members. Students learn to write coherent and complete proofs of various assertions, to work out non-trivial examples, and, when possible, to use computational tools.

Minor

Beginning in 2022, students can now minor in Mathematics.

Math Coursework at a Glance

Ma 5/105 abc. Introduction to Abstract Algebra. Introduction to groups, rings, fields, and modules. The first term is devoted to groups and includes treatments of semidirect products and Sylow’s theorem. The second term discusses rings and modules and includes a proof that principal ideal domains have unique factorization and the classification of finitely generated modules over principal ideal domains. The third term covers field theory and Galois theory, plus some special topics if time permits.