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 |
---|---|---|---|
12-01 |
Video |
Notes |
|
11-29 |
Video |
Notes |
|
11-23 | Dominated Convergence Theorem |
Video |
Notes |
11-19 | Fatou's Lemma |
Video |
Notes |
11-17 | Monotone Convergence Theorem |
Video |
Notes |
11-15 | Integrable Simple Functions |
Video |
Notes |
11-12 | The "Basic Construction" |
Video |
Notes |
11-10 | Properties of measurable functions |
Video |
Notes |
11-08 | A nonmeasurable set; measurable functions |
Video |
Notes |
11-05 | Approximation of measurable sets |
Video |
Notes |
11-03 | Measurable sets are a sigma algebra |
Video |
Notes |
11-01 | Measurable sets via Caratheodory |
Video |
Notes |
10-29 | Outer measure is mostly good |
Video |
Notes |
10-27 | Desired properties of length |
Video |
Notes |
10-25 | Riemann Integral |
Video |
Notes |
10-22 | Midterm | ||
10-20 | Arzela-Ascoli; Riemann Integral |
Video |
Notes |
10-18 | Compact subsets of C[0,1] |
Video |
Notes |
10-15 | Approximation in C[0,1] |
Video |
Notes |
10-13 | Approximation in C[0,1] |
Video |
Notes |
10-11 | M-Test, Power Series |
Video |
Notes |
10-8 | Derivatives and Uniform convergence |
Video |
Notes |
10-6 | Uniform convergence |
Video |
Notes |
10-4 | Pointwise convergence |
Video |
Notes |
10-1 | Equivalent Norms, Operator Norm |
Video |
Notes |
9-29 | Equivalent Norms |
Video |
Notes |
9-27 | Uniform Continuity |
Video |
Notes |
9-24 | Compactness |
Notes |
|
9-22 | Compactness |
Notes |
|
9-20 | Completeness |
Notes |
|
9-17 | Total Boundedness |
Video |
Notes |
9-15 | Continuity |
Video |
Notes |
9-13 | Continuity |
Video |
Notes |
9-10 | Open, Closed sets |
Video |
Notes |
9-8 | Triangle Inequality; Convergence |
Video |
Notes |
9-3 | Norms; Triangle Inequality |
Video |
Notes |
9-1 | Cantor Function; Metric Spaces |
Video |
Notes |
8-30 | Cardinality |
Video |
Notes |
8-27 | p-adic expansions |
Video |
Notes |
8-25 | Limit Supremum |
Video |
Notes |
8-23 | Real numbers |
Notes |