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

Prerequisite:

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: Areas and Lengths 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

Lesson 26: Absolute Convergence and 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: Areas and Lengths 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

Lesson 26: Absolute Convergence and 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

Monday–Friday (except holidays)

8:00 a.m.–5:00 p.m. mountain time

Toll-Free: 1-800-914-8931

Local: 801-422-2868

Fax: 801-422-0102

indstudy@byu.edu

Harman Continuing Education Building

770 E University Pkwy

Provo UT 84602

BYU Independent Study

229 HCEB

770 E University Pkwy

Provo UT 84602