Course Syllabus
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Sections |
Brief Description |
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Week 1 |
1,2 6,7 |
June 26: Course Structure, Meeting Times, Ground Rules Lecture Video: Fundamental Set Theory and Functions Lecture Video: Finite, Countable, and Uncountable Sets |
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Week 2 |
12 13 3,14 |
June 29: Topological Spaces July 1: Basis for a Topology July 3: Order Relations and the Order Topology |
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Week 3 |
15,16 17 |
July 6: The Product Topology on X x Y and the Subspace Topology July 8: Closed Sets July 10: Limit Points and the Hausdorff Property |
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Week 4 |
18 19 |
July 13: Continuous Functions and their Construction July 15: Homeomorphisms July 17: Product Topology vs. Box Topology |
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Week 5 |
23 25 26 |
July 20: Connectedness July 22: Path Connectedness, Components, Local Connectedness July 24: Compactness |
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Week 6 |
N/A 51 58 |
July 27: Battle of the Spaces July 29: Homotopy July 31: Deformation Retracts and Homotopy Type |
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Week 7 |
52 54 60,74 |
August 3: Fundamental Group Day 1 August 5: Fundamental Group Day 2 August 7: Surfaces |
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Week 8 |
74 76 77 |
August 10: Polygonal Regions August 12: Cutting + Pasting August 14: Classification of Surfaces |
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Week 9 |
N/A |
Knot Theory Playtime! |
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Week 10 |
TBD |
TBD |