We explore the rules for exponents.

We review the rules of differentiation.

We will compute indefinite Integrals

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

We will compute integrals using the integration by parts technique.

We compute integrals involving powers and products of trigonometric functions.

We compute integrals involving square roots of sums and differences.

We will integrate rational functions using partial fraction decompositions.

We will compute definite integrals involving infinity.

Sample Tests for Chapter 1

We compute the area between two curves.

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

We find the average value of a function.

We find the length of a curved segment.

We solve separable differential equations and initial value problems.

Sample Tests for Chapter 2

We determine if a sequence converges or diverges.

We find the sum of a geometric series.

We determine the convergence or divergence of a Telescoping Series.

We determine if an infinite series diverges.

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

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

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

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

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

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

We find the interval of convergence of a power series.

We find the power series representation of a function.

Test 3 Review

We differentiate power series term by term.

We integrate power series term by term.

We find the Taylor Series for a function.

We find the Maclaurin series representation of a function.