- Classify generic critical points of 2-variable functions
- Find maxima by gradient following
- 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.
- Discuss test
- More work with second derivatives
- Mathematica notebook – contour diagram with multiple critical points
- Exercises Feel free to classify critical points by drawing contour plot with Mathematica (or Wolfram Alpha)
- 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.