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