For admission to the Mathematics Department, at least 5 full-year courses (30 semester hours or 45 quarter hours) in mathematics are required beyond precalculus. Every entering mathematics graduate student should be thoroughly familiar with the following basic subjects: advanced calculus (one variable and multivariable) differential equations linear algebra Rigorous advanced undergraduate courses in both of the following subjects are required for admission to the PhD track; applicants to a Master's program should have had a course in at least one of these: abstract algebra (groups, rings, fields) real analysis (theory of differentiation and integration, uniform convergence, metric spaces) In addition, courses in the following subjects are recommended for PhD applicants but not required: complex analysis topology

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