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.