Class 1



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