MATH 480 - Topics in Modern Math

Institution:
University of Pennsylvania
Subject:
Description:
Staff. A survey of a number of actively-growing areas of mathematics, according to the interests of the students and the instructor. For example, the course might focus on famous unsolved problems, such as the Riemann Hypothesis. Explorations with computer packages for symbolic manipulation. Supervised Study. (C) Staff. Prerequisite(s): Permission of major adviser. Hours and credit to be arranged. Study under the direction of a faculty member. Intended for a limited number of mathematics majors. Geometry-Topology, Differential Geometry. (M) Staff. Prerequisite(s): Math 240/241. Point set topology: metric spaces and topological spaces, compactness, connectedness, continuity, extension theorems, separation axioms, quotient spaces, topologies on function spaces, Tychonoff theorem. Fundamental groups and covering spaces, and related topics. Geometry-Topology, Differential Geometry. (M) Staff. Prerequisite(s): Math 500 or with the permission of the instructor. Review of 2- and 3-dimensional vector calculus, differential geometry of curves and surfaces, Gauss-Bonnet theorem, elementary Riemannian geometry, knot theory, degree theory of maps, transversality.
Credits:
3.00
Credit Hours:
Prerequisites:
Corequisites:
Exclusions:
Level:
Instructional Type:
Lecture
Notes:
Additional Information:
Historical Version(s):
Institution Website:
Phone Number:
(215) 898-5000
Regional Accreditation:
Middle States Association of Colleges and Schools
Calendar System:
Semester

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