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.

DateTopicsZoomNotes
12-01 Lp Video
Notes
11-29 L1 Video
Notes
11-23 Dominated Convergence Theorem Video
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11-19 Fatou's Lemma Video
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11-17 Monotone Convergence Theorem Video
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11-15 Integrable Simple Functions Video
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11-12 The "Basic Construction" Video
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11-10 Properties of measurable functions Video
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11-08 A nonmeasurable set; measurable functions Video
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11-05 Approximation of measurable sets Video
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11-03 Measurable sets are a sigma algebra Video
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11-01 Measurable sets via Caratheodory Video
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10-29 Outer measure is mostly good Video
Notes
10-27 Desired properties of length Video
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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
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10-15 Approximation in C[0,1] Video
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10-13 Approximation in C[0,1] Video
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10-11 M-Test, Power Series Video
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10-8 Derivatives and Uniform convergence Video
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10-6 Uniform convergence Video
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10-4 Pointwise convergence Video
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10-1 Equivalent Norms, Operator Norm Video
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9-29 Equivalent Norms Video
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9-27 Uniform Continuity Video
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9-24 Compactness Notes
9-22 Compactness Notes
9-20 Completeness Notes
9-17 Total Boundedness Video
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9-15 Continuity Video
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9-13 Continuity Video
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9-10 Open, Closed sets Video
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9-8 Triangle Inequality; Convergence Video
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9-3 Norms; Triangle Inequality Video
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9-1 Cantor Function; Metric Spaces Video
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8-30 Cardinality Video
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8-27 p-adic expansions Video
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8-25 Limit Supremum Video
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8-23 Real numbers Notes