A Preview of First Year Calculus
This workbook is meant to help lay a strong foundation of understanding the big-picture topics traditionally covered in AP Calculus AB. It can be effectively used in two ways: before starting the class, and before reviewing for exams. Jennifer Bailey-Salice has taught math (including four different levels of Calculus) for over 20 years, and has seen firsthand how stressful it can be trying to juggle all the obligations that often go along with taking AP Calc. Jennifer created this workbook to help dissipate stress and put students in a position of confidence and calm.
This 64 page workbook introduces and clearly explains the major concepts that Calculus is based on. Starting with a review of essential pre-requisites, moving on to limits, derivatives and integrals. The focus is on understanding what these mathematical objects are and why they work the way they do.
Best used before starting the class, this workbook is also a good resource for students who may have struggled though the year without fully understanding the concepts. In that case, I would suggest working through the exercises in early April to best prepare for the exam in May.
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Table of Contents
Section 1 - Introduction
Section 2 - Big Picture
Section 3 - Prerequisite Skills
Section 4 - Limits and Continuity
Section 5 - Rates of Change-Derivatives
Section 6 - Areas-Integrals
Section 7 - Connecting Areas with Rates of Change-Antiderivatives
Section 8 - Conclusion
About the Author
For over 20 year, Jennifer Bailey-Salice taught all levels of math from 6th grade through Multi-Variable Calculus. As a classroom teacher and a private tutor, Ms. Bailey-Salice developed an understanding of what students need to know in order to fully understand the topic at hand. While her teaching took her from Atlanta to Spain and then California, she is now settled in Surrey, UK where she hopes to continue helping students succeed at math.
