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# Preparation for Calculus

## First EditionBruce Crauder; Benny Evans; Alan Noell

©2022**Designed and authored to prepare students for the endeavor of calculus.***Preparation for Calculus* is a roadmap that will serve as your gateway to success in your current precalculus course, equipping you with the mindset and tools to succeed in your future calculus course. Once you master the concepts of limits and rates of change, you will have access to new and more effective ways to understand functions and their graphs, and you will be ready to effectively tackle calculus and apply your skills in the coursework beyond.

## Table of Contents

1 FUNCTIONS AND HOW THEY CHANGE

2 OPERATIONS ON FUNCTIONS AND GRAPHS

3 LINEAR AND EXPONENTIAL FUNCTIONS

4 LOGARITHMS

5 POLYNOMIALS AND RATIONAL FUNCTIONS

6C INTRODUCTION TO TRIGONOMETRY: A UNIT CIRCLE APPROACH

6T INTRODUCTION TO TRIGONOMETRY: A RIGHT TRIANGLE APPROACH

7 GRAPHS AND PERIODICITY OF TRIGONOMETRIC FUNCTIONS

8 ALGEBRA OF TRIGONOMETRIC FUNCTIONS

9 TOPICS IN GEOMETRY

10 A QUALITATIVE EXPLORATION OF RATES OF CHANGE

APPENDICES

**MATERIALS AVAILABLE ONLINE:**

0 ALGEBRA REVIEW

11 SYSTEMS OF EQUATIONS AND MATRICES

12 ANALYTIC GEOMETRY OF CONIC SECTIONS

13 SEQUENCES, SUMS, AND THE BINOMIAL THEOREM