Learning objectives

• Interpret partial derivatives as multipliers
• Compute partial derivatives starting from tables, contour diagrams, and formulas

Before class

• Review differentiation in 1 and 2 variables.
• Read Section 1 on Derivatives as Multipliers
• Read Hughes-Hallett sections 14.1, 14.2, 14.3.
• Ponder Hughes-Hallett problems:14.1: 1, 3, 5, 9, 10, 11, 23, (34 for a medical application); 14.2: 1, 3, 5, 41; 14.3: 1, 17, 20, 24.

In class

• Review: How to think about derivatives and differentiation rules and some justifications
• Introduce partial derivatives and work problems
• Practice with visual representations of 2-variable function: drug concentrations