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Nov 28, 2024
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MATH 440 - Topology (3 units) General topological spaces, continuity, compact and locally compact spaces, connectedness, path connectedness, product and quotient topologies, countability and separation axioms, metric spaces.
Prerequisite(s): MATH 310 .
Units of Lecture: 3 Offered: Every Spring Student Learning Outcomes: Upon completion of this course: 1. Students will be able to demonstrate an understanding of topological spaces and continuous functions through proofs and examples.? 2. Students will be able to analyze topological properties such as compactness, connectedness and path-connectedness, and prove their consequences including the Extreme Value and Intermediate Value Theorem from Calculus.? 3. Students will be able to analyze continuity or discontinuity of functions defined on a quotient space.
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