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)