Multiple integrals

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
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