MATH 1920 Calculus II Syllabus

Course Description, Textbook, Topics

Course Description:
This is a 4-credit hour course.  Topics include techniques of integration, sequences, series, and polar coordinates.

Required Textbook:
 Calculus: Early Transcendentals by Stewart, Clegg, and Watson, 9th edition

Chapter 6: Applications of Integration

Section 6.1: Areas Between Curves
Section 6.2: Volumes
Section 6.3: Volumes by Cylindrical Shells
Section 6.5: Average Value of a Function

Chapter 7: Techniques of Integration

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

Chapter 8: Further Applications of Integration

Section 8.1: Arc Length
Section 8.2: Area of a Surface of Revolution

Chapter 10: Parametric Equations and Polar Coordinates

Section 10.1: Curves Defined by Parametric Equations
Section 10.2: Calculus with Parametric Curves
Section 10.3: Polar Coordinates
Section 10.4: Calculus in Polar Coordinates

Chapter 11: Sequences, Series, and Power Series

Section 11.1: Sequences
Section 11.2: Series
Section 11.3: The Integral Test and Estimates of Sums
Section 11.4: The Comparison Tests
Section 11.5: Alternating Series and Absolute Convergence
Section 11.6: The Ratio and Root Tests
Section 11.8: Power Series
Section 11.9: Representation of Functions as Power Series
Section 11.10: Taylor and Maclaurin Series
Section11.11: Applications of Taylor Polynomials