Learning objectives

• Explore the chain rule for compositions of functions with various numbers of variables
• Interpret second derivatives in applied contexts
• Explore relations among partial derivatives
  • Universal: Second mixed partials
  • In modeling situations: some PDES

Before class

• Read Hughes-Hallett sections 14.6 and 14.7 (only pp 806-808)
• Ponder Hughes-Hallett problems: 14.6: 3, 9, 16, 19; 14.7: 1-6, 22-31, 50, 51.

In class

• Some chain rule problems
• Some second derivative problems
• Some PDEs

On your own

• Extensive and intensive variables in science