Exam 3 Study Guide
Chapters 1, 2, and 3 (through 3.9) as covered in the
Exam 1 Study Guide
and the
Exam 2 Study Guide
.
Chapter 3
3.10: related rates problems
3.11: linear approximations, skip differentials
Chapter 4
4.1:
local maxima and minima
global maxima and minima
critical numbers
the Closed Interval Method
4.2: skip
4.3:
Increasing/Decreasing Test
First Derivative Test
Concavity Test
Second Derivative Test
4.4: l'Hospital's Rule
4.5: Curve Sketching Procedure
4.6: skip
4.7: Optimization
4.8: Economics
4.9: Newton's method
4.10: Antiderivatives, general form F(x)+c
Chapter 5
5.1: Riemann sums used with a limit as a definition of area, or Riemann sums as a way to compute numerical approximations to the area.
5.2: Definite integrals, properties
5.3: Fundamental Theorem, using it to compute definite integrals