See Math 321. Isometries and other transformations are studied and used throughout. The history of the development of geometric ideas is discussed. This course is strongly recommended for prospective high school teachers. Each student is required to give one lecture and to attend all sessions.
Content varies from year to year.
Math 401 and either Math 443 or permission of the instructor. May include Fourier series, harmonic analysis, probabilty theory, advanced topics in measure theory, ergodic theory, and elliptic integrals. Includes a treatment of cardinality and well ordering, as well as metrization. Includes simplicial complexes, cell complexes and cellular homology and cohomology, as well as manifolds, and Poincare Duality. Math 444 and either Math 356 or Math 463 or permission of instructor.