Daily Log
The table below contains a summary of what is covered each class day. I will post my lecture notes as written out that day. 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 |
|---|---|---|---|
| 12-4 | Uniform Convergence and Derivatives |
Video |
Notes |
| 12-2 | Uniform Convergence |
Video |
Notes |
| 11-30 | Sequences of Functions |
Video |
Notes |
| 11-23 | Fundamental Theorem of Calculus |
Video |
Notes |
| 11-20 | Riemann Integral |
Video |
Notes |
| 11-18 | Midterm! | ||
| 11-16 | Riemann Integral |
Video |
Notes |
| 11-13 | Riemann Integral |
Video |
Notes |
| 11-11 | Mean Value Theorem |
Video |
Notes |
| 11-9 | Mean Value Theorem |
Video |
Notes |
| 11-6 | Derivative Rules |
Video |
Notes |
| 11-4 | The Derivative |
Video |
Notes |
| 11-2 | Intermediate Value Theorem |
Video |
Notes |
| 10-30 | Uniform Continuity |
Video |
Notes |
| 10-28 | Extreme Value Theorem |
Video |
Notes |
| 10-26 | Compactness |
Video |
Notes |
| 10-23 | Continuity |
Video |
Notes |
| 10-21 | Continuity |
Video |
Notes |
| 10-19 | Continuity |
Video |
Notes |
| 10-16 | Closed Sets |
Video |
Notes |
| 10-14 | Midterm | ||
| 10-12 | Closed Sets |
Video |
Notes |
| 10-9 | Open Sets |
Video |
Notes |
| 10-7 | Absolute Convergence and Rearrangements |
Video |
Notes |
| 10-5 | Absolute and Conditional Convergence |
Video |
Notes |
| 10-2 | Alternating Series Test |
Video |
Notes |
| 9-30 | Cauchy Criterion for Series |
Video |
Notes |
| 9-28 | Faces of AoC; More series |
Video |
Notes |
| 9-25 | Bolzano-Weierstrass/Cauchy Criterion |
Video |
Notes |
| 9-23 | Subsequeces and Bolzano-Weierstrass |
Video |
Notes |
| 9-21 | Intro to Series |
Video |
Notes |
| 9-18 | Order Limit Theorem / MCT |
Video |
Notes |
| 9-16 | Products and Reciprocals of Sequences |
Video |
Notes |
| 9-14 | Convergence of Sequences |
Video |
Notes |
| 9-11 | R is uncountable; Sequences |
Video |
Notes |
| 9-9 | Cardinality; Q is countable |
Video |
Notes |
| 9-4 | Existence of Roots; Cardinality |
Video |
Notes |
| 9-2 | Consequences of Completeness |
Video |
Notes |
| 8-31 | Consequences of Completeness |
Video |
Notes |
| 8-28 | Axiom of Completeness |
Video |
Notes |
| 8-26 | Upper Bounds and Suprema |
Video |
Notes |
| 8-24 | Real Numbers |
Video |
Notes |