Daily Log

The table below contains a summary of what is covered each class day, along with any computer files (e.g. Matlab files) that were used that day.

I will post the lecture notes that I write on the screen here. They may be useful in filling in your own hand-written notes after the fact. Please do not rely on them solely.

DateTopicsZoomNotes
1-18 Metric Spaces Video
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1-20 Metric Spaces Video
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1-23 Topologies; Closed Sets Video
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1-25 Continuity Video
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1-27 Homeomorphisms; Hausdorfness; Bases Video
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1-30 Bases Video
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2-1 Countabilty Axioms; Manifolds Video
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2-3 Manifolds Video
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2-6 Subspace Topology Video
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2-8 Subspace Topology Video
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2-10 Product Topology Video
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2-13 Product Topology Video
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2-15 Quotient Topology Video
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2-17 Quotient Topology Video
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2-20 Quotient Topology Video
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2-22 Connectedness Video
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2-24 Connectedness Video
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2-27 Connectedness Video
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3-1 Compactness Video
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3-3 Closed Map Lemma Video
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3-6 Limit Point Compactness Video
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3-8 Sequential Compactness Video
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3-20 Nets Video
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3-22 Nets Video
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3-24 Locally Compact Hausdorff Spaces Video
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3-27 LCHS / Homotopy Video
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3-29 Homotopy Equivalence Video
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3-31 Intro to Degree Video
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4-3 Lifts (preliminaries) Video
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4-5 Lifts
4-7 Degree Video
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4-10 Path Homotopies Lift; Path Multiplication Video
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4-12 Fundamental Group Video
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4-14 Induced Homomorphism; Tori and Spheres Video
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4-17 Homotopy Equivalence and the Fundamental Group Video
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4-19 Fundamental Group of Circle; Group Theory Video
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4-21 Group Theory(!) Video
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4-24 Seifert Van-Kampen Video
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4-26 Seifert Van-Kampen Video
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4-28 SV-K and Group Presentations Video
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5-01 Distinguishing Surfaces Video
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