Syllabus for Calculus II

MATH 222-01

Chapter Five: Integration
- 5.1 Approximating Areas Under Curves
- 5.2 Definite Integrals
- 5.3 Fundamental Theorem of Calculus
- 5.4 Working with Integrals
- 5.5 Substitution Rule
Chapter Six: Applications of Integration
- 6.1 Velocity and Net Change
- 6.2 Regions Between Curves
- 6.3 Volume by Slicing
- 6.4 Volume by Shells
Chapter Seven: Logarithmic and Exponential Functions
- 7.1 Inverse Functions
- 7.2 The Natural Logarithmic and Exponential Functions
- 7.3 Logarithmic and Exponential Functions with Other Bases
- 7.4 Exponential Models
- 7.5 Inverse Trigonometric Functions
- 7.6 L'Hopital's Rule and Growth Rates of Functions
Chapter Eight: Integration Techniques
- 8.1 Integration by Parts
- 8.2 Trigonometric integrals
- 8.3 Trigonometric Substitution
- 8.4 Partial Fractions
- 8.5 Other Integration Strategies
- 8.6 Numerical Integration
- 8.7 Improper Integrals
- 8.8 Introduction to Differential Equations

Revised: 10-Jan-2011 .