MATH 1320: Calculus II

Techniques of Integration

• Integration by Parts
• Trigonometric Integrals
• Trigonometric Substitution
• Integration of Rational Functions by Partial Fractions
• Strategy for Integration
• Approximate Integration
• Improper Integrals

Further Applications of Integration

• Arc Length
• Area of a Surface of Revolution
• Center of Mass

Differential Equations

• Modeling with Differential Equations
• Direction Fields and Euler's Method
• Seperable Equations
• Linear Equations

Parametric Equations and Polar Coordinates

• Curves Defined by Parametric Equations
• Calculus with Parametric Curves
• Areas and Lengths in Polar Coordinates

Infinite Sequences and Series

• Sequences
• Series
• The Integral Test and Estimates of Sums
• The Comparison Tests
• Alternating Series
• Absolute Convergence and the Ratio and Root Tests
• Strategy for Testing Series
• Power Series
• Representations of Functions as Power Series
• Taylor and Maclaurin Series
• Applications of Taylor Polynomials