On-Ramp to AP* Calculus

This short math course will help students who have taken a precalculus course succeed in more advanced calculus courses, including AP Calculus AB and AP Calculus BC.

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  • 完成时间大约为 6
  • 初级
  • 英语


How to find rates of change

How to use areas to turn rates of change into totals

Review precalculus topics such as: Trigonometric Functions, Exponents & Logarithms, Sequences & Series, Limits


Want to take an AP Calculus class, but aren’t sure you are ready? Want to review some of your precalculus topics before your AP class begins? Want a preview of the big ideas of AP Calculus and math? If you answered “yes” to any of these questions, this math course is for you.

We’ll preview the concepts behind both derivatives and integrals as well as review many of the precalculus topics most relevant to AP Calculus such as: Trigonometric functions, Exponents & Logarithms, Sequences & Series, Limits.

*Advanced Placement® and AP® are trademarks registered and/or owned by the College Board, which was not involved in the production of, and does not endorse, these offerings.


Why Calculus?

Lesson #1: Introduction

Lesson #2: Rates of Change

Lesson #3: Adding up the Changes

Exponents & Logarithms

Lesson #4: Working with Exponents

Using Trigonometry

Lesson #5: Review of Trigonometry

The Concept of a Limit

Lesson #6a: Limits at Finite Values – Graphical

Lesson #6b: Limits at Finite Values – Numerical

Lesson #6c: Limits at Infinity

Series Basics

Lesson #7a: Sequences and Series

Lesson #7b: The Idea of Convergence

Get Ready for AP Calculus

Wrap up

Final Exam


Completion of a high school precalculus class, including familiarity with trigonometric functions, exponents & logarithms, sequences & series. A basic knowledge of limits is helpful, but not required.

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