Optimization in 1 dimension

Learning objectives

  • Find maxima and minima of a function using a graph
  • Distinguish between local and global extrema
  • Use gradient search to find local  maxima and minima of a function
  • Use the values of first and second derivatives to describe a graph near a critical point
  • Use algebra to find a list of critical points where there might be a maximum or minimum value of a function

Before class

  • Read Hughes-Hallett 4.1, 4.2, 4.3
  • Practice problems 4.1:  6, 16, 17, 18, 20, 23; 4.2. 8, 13; 4.3: 2, 17, 19, 40, 47.

In class

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