Local behavior of functions

Learning objectives

  • Create taylor polynomials of 1-variable functions by matching derivatives
  • Explore taylor series for 1/(1-x), e^x,  \cos x.
  • Create 1st and 2nd degree taylor polynomials of 2-variable functions
  • Identify local behavior (at a point) of 2-variable functions: linear, saddle point, maximum or minimum
  • Find unconstrained maximum and minimum of 2-variable functions
  • Work with least squares parameter fitting


In class