Learning objectives
- Understand multiple integrals as sums
- Evaluate multiple integrals algebraically
- Interpret multiple integrals of densities
Before class
- Read Hughes-Hallett sections 16.1, 16.2
- Ponder Hughes-Hallett problems: 16.1: 3, 5, 9, 11, 13, 15, 17, 19, 21, 23, 25; 16.2: 1, 3, 5, 11, 15, 17, 19, 23, 32, 35, 36, 43.
In class
- Intro to integration: what kinds of problems lead to integrals?
- Find a population from a contour map of population density
- Exercises on double integrals