In this video, I introduce the concept of sequences.

Here I define terms involving sequences that appear frequently on the AP Calculus BC exam.

This is the introduction to series, the summation of terms in a sequences.

In this video, I cover the test for divergence and a feature of convergent series.

Here I cover a special type of series: geometric series.

In this video, I cover the convergence of another special type of series: p-series.

This is the first of a series of tests for convergence. Here we use improper integrals to determine whether certain series are convergent.

Here I cover two more tests for convergence: the comparison and limit comparison tests.

Here I cover a test that can be used to determine whether certain alternating series are convergent.

In this video, I cover two more terms that are important for series: absolutely convergent and conditionally convergent.

Here I cover another test for the convergence of series.

In this video, I cover one final test for the convergence of series: the root test.

The previous few videos in this playlist have covered tests for convergence. Here I go through several practice problems to reinforce how to...

Here I introduce the next important concept in the module: power series.

The significance of power series is that some functions can be represented as power series. Here I explain this concept.

Here I cover a special type of power series: Taylor series.

Here I cover the Lagrange Error Bound for an nth degree Taylor polynomial.

Here I cover an FRQ from the 2011 AP Calc BC exam. The FRQ incorporates several concepts from this module.