Difference between revisions of "Math 451: Intro to Topology"
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+ | == Catalog Information == | ||
+ | |||
+ | === Title === | ||
+ | Introduction to Topology. | ||
+ | |||
+ | === (Credit Hours:Lecture Hours:Lab Hours) === | ||
+ | (3:3:0) | ||
+ | |||
+ | === Offered === | ||
+ | W | ||
+ | |||
+ | === Prerequisite === | ||
+ | [[Math 341]]. | ||
+ | |||
+ | === Description === | ||
+ | Developing topological concepts, beginning from a linear setting. Developing proofs or counterexamples from axioms to a structured sequence of topological propositions using only notes provided. | ||
+ | |||
== Desired Learning Outcomes == | == Desired Learning Outcomes == | ||
=== Prerequisites === | === Prerequisites === | ||
+ | |||
=== Minimal learning outcomes === | === Minimal learning outcomes === | ||
− | + | 1. Students should demonstrate an ability to write and present mathematical proofs beyond that learned in Math 290. | |
+ | |||
+ | 2. Students should demonstrate understanding of the following concepts by proving theorems about them: linear ordering, connectedness, continuity, open and closed sets, density, compactness, local connectedness, local compactness. | ||
+ | |||
+ | === Textbooks === | ||
+ | |||
+ | Possible textbooks for this course include (but are not limited to): | ||
− | + | * | |
=== Additional topics === | === Additional topics === |
Latest revision as of 10:55, 14 November 2019
Contents
Catalog Information
Title
Introduction to Topology.
(Credit Hours:Lecture Hours:Lab Hours)
(3:3:0)
Offered
W
Prerequisite
Description
Developing topological concepts, beginning from a linear setting. Developing proofs or counterexamples from axioms to a structured sequence of topological propositions using only notes provided.
Desired Learning Outcomes
Prerequisites
Minimal learning outcomes
1. Students should demonstrate an ability to write and present mathematical proofs beyond that learned in Math 290.
2. Students should demonstrate understanding of the following concepts by proving theorems about them: linear ordering, connectedness, continuity, open and closed sets, density, compactness, local connectedness, local compactness.
Textbooks
Possible textbooks for this course include (but are not limited to):