| Class | Date | Sections | Brief Description |
|---|---|---|---|
| 1 | Thursday, 8/24 | - | Introduction, Overview, Analysis Review, Metric Spaces |
| 2 | Tuesday, 8/29 | Notes: 1.1 - 1.3 | Metric Spaces, Interior and Closure Points, Open and Closed Sets |
| 3 | Thursday, 8/31 | Notes: 1.4 - 1.5 | Compact Sets, Images and Preimages |
| 4 | Tuesday, 9/5 | Notes: 1.5 Nelson: 0.1 - 0.3 |
Continuous Functions Between Metric Spaces, Review of the Riemann Integral |
| 5 | Thursday, 9/7 | Nelson: 1.1 SteinShak: 1.1 - 1.2 |
Lebesgue Outer Measure, Basic Properties |
| 6 | Tuesday, 9/12 | Nelson: 1.1 - 1.2 SteinShak: 1.2 |
Outer Measure of Intervals, Additivity on Disjoint Compact Sets |
| 7 | Thursday, 9/14 | Nelson: 1.2 SteinShak: 1.3 |
Measurable Sets |
| 8 | Tuesday, 9/19 | Nelson: 1.2 - 1.3 SteinShak: 1.3 |
Properties of Measurable Sets, Sigma Algebras |
| 9 | Thursday, 9/21 | Nelson: 1.3 SteinShak: 1.3 |
Nonmeasurable Sets, Baire Category Theorem |
| 10 | Tuesday, 9/26 | Nelson: 2.1 SteinShak: 1.4 |
Riemann Integration and Points of Continuity, Measurable Functions |