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