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Author: Shaun Ault

Shaun earned his Ph. D. in mathematics from The Ohio State University in 2008 (Go Bucks!!). He received his BA in Mathematics with a minor in computer science from Oberlin College in 2002. In addition, Shaun earned a B. Mus. from the Oberlin Conservatory in the same year, with a major in music composition. Shaun still loves music -- almost as much as math! -- and he (thinks he) can play piano, guitar, and bass. Shaun has taught and tutored students in mathematics for about a decade, and hopes his experience can help you to succeed!

Did you realize that there were different kinds of series convergence? In this review article, find out about absolute and conditional convergence.

A series is the sum of a sequence of numbers. We’ll review the series fundamentals and give a few example problems from the AP Calculus BC exam.

A series is the sum of infinitely many terms. But how can you add up an infinite number of things? Click here to learn about series convergence!

An alternating series is one in which the signs of the terms switch between positive and negative. So it’s important to know how to work with them.

Exponential functions show up on both the AP Calculus AB and BC exams. Here’s what you should know about them for the test!

What are inflection points, and how do you find them? This article explains what you need to know about inflection points for the AP Calculus exams.

What is the Lagrange error bound? Basically, it’s a theoretical limit that measures how bad a Taylor polynomial estimate could be. Read on to find out more! Taylor Series and Taylor Polynomials The whole point in developing Taylor series is that they replace more complicated functions with polynomial-like expressions. The properties of Taylor series make […]

It’s important to know the basics. Click here for the basic formulas and properties that you’ll need to master in order to succeed on the AP Calculus exam.

Taylor polynomials are certain polynomials that can approximate functions.

What is the Intermediate Value Theorem? Basically, it’s the property of continuous functions that guarantees no gaps in the graph between two given points. In this article, what you need to know about Intermediate Value Theorem for the AP Calculus exams. The Intermediate Value Theorem (IVT) Here’s the statement of the theorem: Suppose f is […]