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.

Grading Basis: Graded
Units of Lecture: 3
Offered: Every Spring

Student Learning Outcomes
Upon completion of this course, students will be able to:
1. demonstrate an understanding of topological spaces and continuous functions through proofs and examples.?
2. 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. analyze continuity or discontinuity of functions defined on a quotient space.

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