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# On-Ramp to AP* Calculus

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## Overview

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.

## Syllabus

• 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

#### Taught by

John Monz and Natalie Griswold

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