Math 222 Calculus and Analytic Geometry II
University of Wisconsin-Madison, Summer 2020
University of Wisconsin-Madison, Summer 2020
Calculus by James Stewart, 8th Edition.
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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