As noted in appendix 6, a requirement for the Mathematics Ph.D. program is to take 11 500-level mathematics courses. Although no specific courses are required, the majority of Mathematics Ph.D. students take a common core of 500-level courses in Analysis, Algebra, and Topology/Geometry. This pattern will be unaffected by the Logic and Foundations Option.

For example, a student interested in logic and foundations might fulfill the 11-course requirement by taking: Math 501-502 (Real and Complex Analysis), Math 535-536 (Algebra), Math 527-528 (Geometry/Topology), Math 557-558 (Logic/Foundations), Math 561 (Set Theory), Math 565 (Foundations II), Math 574 (Topics in Logic and Foundations). Under the Logic and Foundations Option, such a student would take qualifying examinations in Analysis, Algebra, and Logic/Foundations.

By way of comparison, a student interested in, say, differential geometry might fulfill the 11-course requirement by taking, for example: Math 501-502 (Real and Complex Analysis), Math 535-536 (Algebra), Math 527-528 (Geometry/Topology), Math 530-531 (Differential Geometry and Topology), Math 533-534 (Lie Theory), Math 580 (Special Topics in Geometry). Such a student would take qualifying examinations in Analysis, Algebra, and Topology/Geometry.

Sun Apr 19 16:32:27 EDT 1998