Theorems of Differential Calculus; Riemann Sums:
 Read: end of chapter 4 (pp.201207), section 5.1
 Goals: Recognize and understand the Extreme Value Theorem, Mean Value Theorem,
Constant Function Theorem, and the Racetrack Principle; be able to apply these theorems
to explain facts about abstract and particular functions; understand relationship between
distance traveled and area under velocity graph; use Riemann sums to approximate area.
 Required Problems: p.205: 1, 9. p.215: 2.
 Recommended Problems: p.205: 18. p.215: 1, 5, 9.

Limits of Riemann Sums; Definite Integrals; Rules for Integrals:
 Read: sections 5.2, 5.4
 Goals: Understand how a limit of Riemann sums yields the exact area under a curve;
understand integral notation; interpret integrals as area; be able to estimate integrals;
use rules for integrals (sums, multiples, limits of integration).
 Required Problems: p.222: 13, 24. p.237: 14.
 Recommended Problems: p.222: 2, 10, 13, 15, 23, 25. p.237: 2, 1519, 20, 21, 23, 24. p.240: 10.
