#### 0.1 Exponent Rules

We explore the rules for exponents.

#### 0.2 Differentiation Rules

We review the rules of differentiation.

#### 0.3 Indefinite Integrals

We will compute indefinite Integrals

#### 1.1 Substitution

In this section we reverse the chain rule by making a substitution.

#### 1.2 Integration by Parts

We will compute integrals using the integration by parts technique.

#### 1.3 Trigonometric Integrals

We compute integrals involving powers and products of trigonometric functions.

#### 1.4 Trigonometric Substitution

We compute integrals involving square roots of sums and differences.

#### 1.5 Partial Fractions

We will integrate rational functions using partial fraction decompositions.

#### 1.6 Improper Integrals

We will compute definite integrals involving infinity.

#### 1.7 Chapter 1 Review

Sample Tests for Chapter 1

#### 2.1 Area Between Curves

We compute the area between two curves.

#### 2.2 Solids of Revolution

We use disks, washers and shells to find the volume of a solid of revolution.

#### 2.3 Average Value

We find the average value of a function.

#### 2.4 Arc Length

We find the length of a curved segment.

#### 2.5 Separable Differential Equations

We solve separable differential equations and initial value problems.

#### 2.6 Chapter 2 Review

Sample Tests for Chapter 2

#### 3.1 Sequences

We determine if a sequence converges or diverges.

#### 3.2 Geometric Series

We find the sum of a geometric series.

#### 3.3 Telescoping Series

We determine the convergence or divergence of a Telescoping Series.

#### 3.4 Test for Divergence

We determine if an infinite series diverges.

#### 3.5 Integral Test

We determine the convergence or divergence of an infinite series using a related improper integral.

#### 3.6 Direct Comparison Test

We will use the DCT to determine if an infinite series converges or diverges.

#### 3.7 Limit Comparison Test

We will use the LCT to determine if a series converges or diverges.

#### 3.8 Alternating Series

We use the Alternating Series Test to determine convergence of infinite series.

#### 3.9 Ratio Test

Use the Ratio Test to determine whether an infinite series converges or diverges.

#### 3.10 Root Test

Use the Root Test to determine whether an infinite series converges or diverges.

#### 3.11 Power Series: Interval of Convergence

We find the interval of convergence of a power series.

#### 3.12 Power Series Representation

We find the power series representation of a function.

Test 3 Review

#### 3.13 Differentiation of Power Series

We differentiate power series term by term.

#### 3.14 Integrating Power Series

We integrate power series term by term.

#### 3.15 Taylor Series

We find the Taylor Series for a function.

#### 3.16 Maclaurin Series

We find the Maclaurin series representation of a function.