Critical points

Learning objectives

  • Classify generic critical points of 2-variable functions
  • Find maxima by gradient following

Before class

  • Read Hughes-Hallett sections 15.1, 15.2
  • Ponder Hughes-Hallett problems: 15.1: 1, 3, 9, 20, 22, 28, 32, 34; 15.2: 2, 23, 24, 28.
  • Post to Piazza
  • Write solutions to problems 14.6: 28; 14.7: 32; Chapter 14 Review: 78, 84 to turn in at the beginning of class.
  • Complete HW5 on WeBWork

In class

  • Discuss last week’s quiz and catch up
  • Exercises
  • Local and global theory of critical points:  On Hills and Dales by James Clerk Maxwell (1870) and Prof Flath’s notes giving the same theory in more modern language. Here are some questions to help you read Maxwell.
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