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The Mathematics Department offers programs covering a broad range of topics leading to the Doctor of Philosophy and the Doctor of Science.
Candidates whose primary interest is in the field of pure mathematics ordinarily take most of their subjects in the department. In addition to their advanced specialization, students are encouraged to acquire breadth by taking basic subjects in analysis, algebra, geometry, Lie theory, logic, and topology.
Candidates whose primary interest is in applied mathematics are expected to acquire breadth by taking subjects in astrophysics, combinatorics, fluid dynamics, theoretical physics, numerical analysis, statistics and/or the theory of computation. Students are encouraged to study important aspects of one or more engineering or scientific fields closely related to research in applied mathematics. Assistance or collaboration in problems in pure or applied mathematics, which are being investigated by members of the staff, may constitute part of a graduate student's program.