Difference between revisions of "Math 652: Topology 2"
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| − | + | Advanced topics in topology. Topics may include, but are not limited to, piecewise linear topology, 3-manifold theory, homotopy theory, differential topology, Riemannian geometry, and geometric group theory | |
== Desired Learning Outcomes == | == Desired Learning Outcomes == | ||
Revision as of 10:21, 22 October 2010
Contents
Catalog Information
Title
Topology 2.
Credit Hours
3
Description
Advanced topics in topology. Topics may include, but are not limited to, piecewise linear topology, 3-manifold theory, homotopy theory, differential topology, Riemannian geometry, and geometric group theory
Desired Learning Outcomes
Students should learn the foundational theorems in their fields of interest. Students should learn to find and read research papers in those fields. Students should learn to solve challenging problems, develop proofs of theorems on their own, and present those proofs clearly and coherently with appropriate illustrative examples.
Prerequisites
Math 553, 554 and either 651 or consent of the instructor.
Minimal Learning Outcomes
We view Math 651 and 652 are an integrated 2-course series, with a certain amount of flexibility built in to accommodate the current research interests of faculty and students. Please see the Minimal Learning Outcomes for Math 651.