Introduction to Math 131 Fall 2018 091018
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Math 131 Fall 2018 091018 Comprehensive Overview
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Summary & Highlights for Math 131 Fall 2018 091018
- Statement of Abel's theorem on the Cauchy product. Comments about rearrangements of infinite series. Introduction to sequences ...
- Local maxima/minima in metric spaces. Fermat's theorem (aka critical point theorem). Simple proof. Sophisticated proof. Rolle's ...
- Sketch of proof of L'Hopital's Rule. Taylor's theorem: definition of Taylor polynomial. Proof of Taylor's theorem. Introduction to ...
- Recall Cauchy Criterion. Statement and proof (using Cauchy Criterion) of comparison test. Statement and proof of Cauchy's ...
- Unbendable arm demonstration. Ratio test: statement and proof. Power series: definition. Theorem on radius of convergence.
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