Syllabus for Calculus II

MATH 222-01

Chapter Three: Applications of Differentiation
- 3.7 Optimization Problems
- 3.8 Newton's Method
- 3.9 Differentials
Chapter Four: Integration
- 4.1 Antiderivatives and Indefinite Integration
- 4.2 Area
- 4.3 Reimann Sums and Definite Integrals
- 4.4 The Fundamental Theorem of Calculus
- 4.5 Integration by Substitution
- 4.6 Numerical Integration
Chapter Five: Logarithmic, Exponential, and Other Transcendental Functions
- 5.1 The Natural Logarithmic Function: Differentiation
- 5.2 The Natural Logarithmic Function: Integration
- 5.3 Inverse Functions
- 5.4 Exponential Functions: Differentiation and Integration
- 5.5 Bases Other Than e and Applications
- 5.6 Inverse Trigonometric Functions: Differentiation
- 5.7 Inverse Trigonometric Functions: Integration
- 5.8 Hyperbolic Functions
Chapter Six: Differential Equations
- 6.1 Slope Fields and Euler's Method
- 6.2 Differential Equations: Growth and Decay
- 6.3 Separation of Variables and the Logistic Equation
- 6.4 First-Order Linear Differential Eauations
Chapter Seven: Applications of Integration
- 7.1 Area of a Region Between Two Curves
- 7.2 Volume: The Disk Method
- 7.3 Volume: The Shell Method
- 7.4 Arc Length and Surfaces of Revolution
- 7.5 Work
- 7.6 Moments, Centers of Mass, and Centroids
- 7.7 Fluid Pressure and Fluid Force

Revised: 13-Oct-2007 .