Topics include: Introduction to Calculus: Functions; Inequalities; Solving & Graphing Polynomial & Rational Functions for Zero; Trigonometric, Exponential & Logarithmic Functions. Practice, review, and testing included. An answer key is included in this 160-page book.

Table of Contents

CHAPTER 1: Preliminary Ideas

• Interval Notation
• Absolute Value
• nth Roots & Fractional Exponents
• Complex Numbers

CHAPTER 2:  Functions

• The Idea of a Function
• Adding, Subtracting, Multiplying, & Dividing Functions
• More Complicated Inputs
• Composition of Functions
• Domains & Ranges
• Inverses
• The Graph of a Function
• Continuity
• Piecewise Defined Functions

CHAPTER 3:  Inequalities

• Solving Inequalities from Graphs
• Inequalities Involving Continuous Functions
• Inequalities Involving Non-Continuous Functions

CHAPTER 4:  Solving Polynomials & Rational Functions for Zero

• Division of Polynomials
• Synthetic Division & the Remainder Theorem
• Complex Zeros
• Complete Factorization of Polynomials
• Zeros of Rational Functions
• Summary

CHAPTER 5:  Graphing Polynomials & Rational Functions

• Transformations
• Graphing Polynomial Functions
• Graphing Rational Functions

CHAPTER 6:  Trigonometric Functions

• Trigonometric Functions of Any Angle
• Trigonometric Functions of Real Numbers
• Inverse Trigonometric Functions
• Graphs of Trigonometric Functions
• Trigonometric Identities
• Multiple & Half Angle Formulas
• Solving Trigonometric Equations

CHAPTER 7:  Exponential & Logarithmic Functions

• Exponential Functions
• Exponential Equations
• Logarithms
• Graphs of Logarithms & Exponential Functions
• Properties of Logarithms
• Solving Logarithmic & Exponential Equations
• Applications

FINAL ASSESSMENT TEST

ANSWER KEY