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 |
|---|---|---|---|
| 12-08 | Convergence in Measure |
Video |
Notes |
| 12-06 |
Video |
Notes |
|
| 12-04 |
Video |
Notes |
|
| 12-01 | Dominated Convergence Theorem |
Video |
Notes |
| 11-29 | L1 |
Video |
Notes |
| 11-27 | Fatou's Lemma; General Integration |
Video |
Notes |
| 11-21 | Monotone Convergence Theorem |
Video |
Notes |
| 11-20 | Integration of Nonnegative Functions |
Video |
Notes |
| 11-17 | Borel's Theorem |
Video |
|
| 11-15 | Basic Construction |
Video |
|
| 11-13 | Measurable Functions |
Video |
Notes |
| 11-10 | Measurable Functions |
Video |
Notes |
| 11-8 | Lebesgue Measure |
Video |
Notes |
| 11-6 | Lebesgue Measure |
Video |
Notes |
| 11-3 | Measurable Sets |
Video |
Notes |
| 11-1 | Outer Measure |
Video |
Notes |
| 10-30 | Length Functions |
Video |
Notes |
| 10-27 | Midterm | ||
| 10-25 | Riemann Integral |
Video |
Notes |
| 10-23 | Arzela-Ascoli Theorem |
Video |
Notes |
| 10-20 | Equicontinuity |
Video |
Notes |
| 10-18 | Trig Polynomials |
Video |
Notes |
| 10-16 | Approximation in C[0,1] |
Video |
Notes |
| 10-13 | Approximation in C[0,1] |
Video |
Notes |
| 10-11 | Weierstrass M-Test |
Video |
Notes |
| 10-09 | Uniform Convergence |
Video |
Notes |
| 10-06 | Uniform Convergence |
Video |
Notes |
| 10-04 | Sequences of Functions |
Video |
Notes |
| 10-02 | Operator Norm |
Video |
Notes |
| 9-29 |
Video |
Notes |
|
| 9-27 | Compactness, Uniform Continuity |
Video |
Notes |
| 9-25 | Completeness, Compactness |
Video |
Notes |
| 9-22 | Completeness |
Video |
Notes |
| 9-20 | Total Boundedness |
Video |
Notes |
| 9-18 | Continuity; Isometries |
Video |
Notes |
| 9-15 | Continuity |
Video |
Notes |
| 9-13 | Convergence; Open/Closed Sets |
Video |
Notes |
| 9-11 | Triangle Inequalities |
Video |
Notes |
| 9-08 | Metric Spaces; Norms |
Video |
Notes |
| 9-06 | Cardinality; Cantor Function |
Video |
Notes |
| 9-01 | Cantor Set; Cardinality |
Video |
Notes |
| 8-30 | Real numbers |
Video |
Notes |
| 8-28 | Real numbers |
Video |
Notes |