Study Guide

Series Topics

Series: This is the Sum That Doesn't End

If you've never heard "The Song that Doesn't End", don't follow this link, we dare...

Alternating Series

An alternating series is a series whose terms alternate between positive and negative like a...

Convergence of Series

Now that we know how to bake an infinite brownie, we want to know what it tastes like. We're...

Math-e-magics?

We didn't use our psychic powers to figure out how the sequence of partial sums of a series is...

Properties of Series

If series are peanut butter, then integrals are jelly. You could put one or the other on a couple...

Special Cases

Every sport has its standouts. Some notables include professional Chessboxer Andy 'The Rock'...

Word Problems

Since arithmetic and geometric series are common menu items that everyone loves, they show up a...

Visualization of Series

We've already mentioned that series and integrals are much alike. The integral is the series'...

Tests for Convergence

Techniques that let you tell whether a series converges are unimaginatively called tests for...

Taylor and Maclaurin Series

Right when we thought we had seen it all, it's time to take a look at the big boys: Taylor and...

In the Real World

We've seen that geometric series can get used to calculate how much money you've got in the bank....