Math 222 Calculus and Analytic Geometry II

Textbook: 

• Calculus by James Stewart, 8th Edition.

Software:

None

Topics:

Chapter 7 Techniques of Integration

7.1 Integration by Parts
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution
7.4 Integration of Rational Functions by Partial Fractions
7.7 Approximate Integration
7.8 Improper Integrals

Chapter 8 Further Applications of Integration

8.1 Arc Length
8.2 Area of a Surface Revolution

Chapter 10 Parametric Equations and Polar Coordinates

10.1 Curves Defined by Parametric Equations
10.2 Calculus with Parametric Curves

Chapter 11 Infinite Sequences and Series

11.1 Sequences
11.2 Series
11.3 The Integral Test
11.4 The Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests
11.8 Power Series
11.9 Representations of Functions as Power Series
11.10 Taylor and Maclaurin Series

Chapter 12 Vectors and the Geometry of Space

12.1 Three-Dimensional Coordinate Systems
12.2 Vectors
12.3 The Dot Product
12.4 The Cross Product
12.5 Equations of Lines and Planes