Techniques and applications of integration; sequences, series, convergence tests, power series; parametric equations; polar coordinates.

Note

Students will need access to WebAssign along with their textbook. Access can be purchased as a bundle with their textbook or individually.

Prerequisites

Math 112

Course Outline

Lesson 1: Area Between Curves

Lesson 2: Volumes

Lesson 3: Volumes by Cylindrical Shells

Lesson 4: Work

Lesson 5: Average Value of a Function

Lesson 6: Integration by Parts

Lesson 7: Trigonometric Integrals

Lesson 8: Trigonometric Substitution

Lesson 9: Integration of Rational Functions by Partial Fractions

Lesson 10: Strategy for Integration

Lesson 11: Approximate Integration

Lesson 12: Improper Integrals

Lesson 13: Arc Length

Lesson 14: Area of a Surface of Revolution

Lesson 15: Applications to Physics and Engineering

Lesson 16: Probability

Lesson 17: Curves Defined by Parametric Equations

Lesson 18: Calculus with Parametric Curves

Lesson 19: Polar Coordinates

Lesson 20: Calculus in Polar Coordinates

Lesson 21: Sequences

Lesson 22: Series

Lesson 23: The Integral Test and Estimates of Sums

Lesson 24: Comparison Tests

Lesson 25: Alternating Series and Absolute Convergence

Lesson 26: The Ratio and Root Tests

Lesson 27: Strategy for Testing Series

Lesson 28: Power Series

Lesson 29: Representation of Functions as Power Series

Lesson 30: Taylor and Maclaurin Series

Lesson 31: Applications of Taylor Polynomials

Lesson 2: Volumes

Lesson 3: Volumes by Cylindrical Shells

Lesson 4: Work

Lesson 5: Average Value of a Function

Lesson 6: Integration by Parts

Lesson 7: Trigonometric Integrals

Lesson 8: Trigonometric Substitution

Lesson 9: Integration of Rational Functions by Partial Fractions

Lesson 10: Strategy for Integration

Lesson 11: Approximate Integration

Lesson 12: Improper Integrals

Lesson 13: Arc Length

Lesson 14: Area of a Surface of Revolution

Lesson 15: Applications to Physics and Engineering

Lesson 16: Probability

Lesson 17: Curves Defined by Parametric Equations

Lesson 18: Calculus with Parametric Curves

Lesson 19: Polar Coordinates

Lesson 20: Calculus in Polar Coordinates

Lesson 21: Sequences

Lesson 22: Series

Lesson 23: The Integral Test and Estimates of Sums

Lesson 24: Comparison Tests

Lesson 25: Alternating Series and Absolute Convergence

Lesson 26: The Ratio and Root Tests

Lesson 27: Strategy for Testing Series

Lesson 28: Power Series

Lesson 29: Representation of Functions as Power Series

Lesson 30: Taylor and Maclaurin Series

Lesson 31: Applications of Taylor Polynomials

Syllabus

Textbooks

Amazon* | Library | |
---|---|---|

Single Variable Calculus, Early Transcendentals, Volume 2, 9th Edition, WITH WEBASSIGN (Required)ISBN: 9780357631478 2021 Cengage |
Used from $136.93 New from $134.58 |
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