MATH 162A: Calculus II Alternate
| Course Details | |
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| Credit Hours: | 4 |
| Prerequisites: | MATH 161 with a grade of C- or higher |
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Description: A continuation of MATH 161. Calculus of logarithmic, exponential, inverse trigonometric functions. Techniques of integration. Applications of integration to topics such as volume, surface area, arc length, center of mass, and work. Numerical sequences and series. Study of power series and the theory of convergence. Taylor's Theorem with remainder. |
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James Stewart. Calculus: Early Transcendentals (packaged with WebAssign) 8th ed. Cengage Learning
Chapter 6. Applications of Integration
6.1 Area Between Curves
6.2 Volumes
6.3 Volumes by Cylindrical Shells
6.4 Optional: Work ( This Sections could be covered with Chapter 8)
6.5 Average Value of a Function
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
7.5 Strategy for Integration
7.6 Integration Using Tables and Computer Algebra Systems
7.7 Approximate Integration
7.8 Improper Integrals
Chapter 11: Infinite Sequences and Series
11.1 Sequences
11.2 Series
11.3 The Integral Test and Estimates of Sums
11.4 The Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests
11.7 Strategy for Testing Series
11.8 Power Series
11.9 Representations of Functions as Power Series
11.10 Taylor and Maclauren Series
11.11 Optional: Applications of Taylor Polynomials
Chapter 10: Parametric Equations and Polar Coordinates
10.1 Curves Defined by Parametric Equations
10.2 Optional: Calculus with Parametric Curves
10.3 Polar Coordinates
10.4 Optional: Areas and Lengths in Polar Coordinates
10.5 Optional: Conic Sections
10.6 Optional: COnic Sections in Polar Coordinates
