Definite integrals

Learning objectives

  • Understand the definite integral as a sum with units (accumulation)
  • Recognize when practical problem can be solved with integration
  • Express the solution to a problem using integral notation
  • Use the units of a definite integral as an aid to interpreting the integral

Before class

  • Read Hughes-Hallett 5.1, 5.2, 5.4.
  • Ponder problems 5.1. 4, 8, 16;  5.2. 6, 10, 16, 18; 5.4. 2, 10, 14.
  • Consult the main points of the lesson

In class

  • Mini lecture
  • Work on problems from book and extra problems
  • QUIZ 9 (gradients, gradient search, and constrained optimization)