Multiple integrals

Learning objectives

  • Understand multiple integrals as sums
  • Interpret multiple integrals of densities
  • Evaluate multiple integrals numerically and algebraically
  • Describe regions algebraically using inequalities
    • Cartesian coordinates in 2 and 3-space
    • Polar coordinates in the plane
    • Cylindrical and spherical coordinates in 3-space

Before class

  • Read Hughes-Hallett sections 16.1, 16.2
  • Ponder Hughes-Hallett problems: 16.1: 3, 5, 9, 11, 13, 15, 25; 16.2: 1, 3, 5, 11, 15, 17, 19, 43.

In class

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