Calculus 2 Notes

Integration Techniques:

• Integration Techniques

• Integration by Parts

• Integrals Involving Trig Functions

• Trig Substitutions

• Partial Fractions

• Integrals Involving Roots

• Integrals Involving Quadratics

• Integration Strategy

• Improper Integrals

• Comparison Test for Improper Integrals

• Approximating Definite Integrals

Applications of Integrals:

• Applications of Integrals

• Arc Length

• Surface Area

• Center of Mass

Parametric Equations and Polar Coordinates:

• Parametric Equations and Polar Coordinates

• Parametric Equations and Curves

• Tangents with Parametric Equations

• Area with Parametric Equations

• Arc Length with Parametric Equations

• Surface Area with Parametric Equations

• Polar Coordinates

• Tangents with Polar Coordinates

• Area with Polar Coordinates

• Arc Length with Polar Coordinates

• Surface Area with Polar Coordinates

• Arc Length and Surface Area Revisited

Sequences and Series:

• Sequences and Series

• Sequences

• More on Sequences

• Series  The Basics

• Series  Convergence/Divergence

• Series  Special Series

• Integral Test

• Comparison Test/Limit Comparison Test

• Alternating Series Test

• Absolute Convergence

• Ratio Test

• Root Test

• Strategy for Series

• Estimating the Value of a Series

• Power Series

• Power Series and Functions

• Taylor Series

• Applications of Series