Class 1
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Review of: basic calculus, linear algebra, geometry
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Functions of one variable:
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(calculus) Taylor's Theorem, Law of Mean
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Definitions: (strict) global/local minimizers/maximizers, critical points
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local optimizer and critical points (Fermat Theorem)
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second derivative tests for minimizer/maximizer/saddle points
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examples
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application: minimize time from A to B given running and swimming times.