Schedule/Topics/Pre-recorded lecture videos/Notes

Date Topic Videos to watch before Notes Kinsey Reading
12/07 Fundamental group Lecture Notes Parts of 9.2
12/04 Based loops and composition Lecture Notes Parts of 9.2
11/30 +12/2 Brouwer fixed point theorem Lecture Notes
11/20 Homotopy equivalence Lecture Notes Parts of 9.1
11/18 Intro to homotopy Lecture Notes Beginning of 9.1
11/16 Euler characteristic and surfaces Lecture Notes 5.4
11/13 Euler characteristic for planar diagrams Lecture Notes 5.3
11/11 Euler characteristic of CW-complexes Lecture Notes Begin 5.3
11/09 Graphs and Trees Lecture Notes 5.2
11/06 Platonic solids and Euler characteristic Lecture Notes
11/04 Platonic solids Lecture (problem with screen-share, but audio seems fine) Notes Platonic app
11/02 Classification of surfaces with boundary Lecture Notes 4.6
10/30 Proof of class. of surfaces, part 3 Lecture Notes 4.5
10/28 Proof of class. of surfaces, part 2 Lecture Notes 4.5
10/26 Proof of class. of surfaces, part 1 Lecture Notes 4.5
10/23 Classification of surfaces Lecture Notes Beginning of 4.5
10/19 + 10/21 Surfaces - orientability and connect sum Lecture Notes Finish 4.3
10/16 Cutting up a Klein bottle Klein Bottle YouTube video None None
10/14 Manifolds and surfaces Lecture Notes Beginning of 4.3
10/12 CW complexes - formal definition Lecture Notes None
10/09 CW complexes Lecture Notes Ch 4.1
10/07 Intro to Cell Complexes Lecture. Mobius tricks YouTube video Notes Ch 4.1
10/05 Quotient spaces Lecture Notes Ch 3.5
10/02 Properties of product spaces Lecture Notes Ch 3.4
9/30 Product spaces Lecture Notes Beginning of Ch 3.4
9/28 Separation axioms Lecture Notes Ch 3.3
9/25 Compactness via open covers Lecture Notes Finish Ch. 3.2
9/23 Subspace, continuity, connectedness Lecture Notes End of Ch 3.1, Beginning of Ch. 3.2
9/21 Basis for a topology Lecture Notes w/ defn error. CORRECTED Notes Ch 3.1
9/18 Metric spaces and topologies Lecture Notes Beginning of Ch 3.1
9/16 Connected sets and intermediate value theorem Lecture Notes Ch 2.5 + parts of Ch 2.6
9/14 Connectedness Lecture Notes Ch 2.5
9/11 Compactness Lecture Notes Ch 2.4
9/9 Continuity (continued) Lecture Notes Ch 2.3
9/4 Continuity Lecture Notes First part of Ch 2.3
9/2 Relative neighborhoods Lecture Notes Ch 2.2
8/31 (No new material) None None None
8/28 Review of Set Theory; Limit points, Closed sets, Limits of sequences Lec part 1: Review of Set Theory; Lec part 2: Limit points, Closed sets, Limits of sequences Notes Part 1, Notes Part 2 Ch 2.1
8/26 Idea of topology, R^n, discs, balls, open sets Lec part 1: Idea of topology; Lec part 2: R^n, discs, balls, open sets Notes Part 1; Notes Part 2 Ch 1, Ch 2.1
8/24 Word search on the torus and Klein bottle None None None
Last modified: Thu Dec 3 21:57:18 MST 2020