Precalculus
by Paul Sisson
Precalculus begins with a comprehensive study of functions and their applications and then continues with more advanced material, all designed to prepare students for calculus. A full review of college algebra topics is integrated with a rigorous presentation of concepts that form the foundation of calculus, including a detailed coverage of trigonometry. Each chapter provides historical context, technology notes, and applications.
Updates to the third edition include a more streamlined table of contents, new chapters (Chapter 4: Working with Functions and Chapter 13: An Introduction to Limits, Continuity, and the Derivative), and more robust content.
New topics covered include:

The difference quotient

Constructing mathematical models

Regression (linear, quadratic, exponential, logistic, and logarithmic)

Interpolation and extrapolation

Intervals of monotonicity

Local extrema

Average rate of change

Stretching and compressing graphs horizontally

Solving elementary logarithmic equations

The Pythagorean Theorem

The Unit Circle

Simple Harmonic Motion

Hyperbolic Functions

Systems of linear inequalities

Systems of nonlinear inequalities
Formats: Software, Textbook, Guided Notebook, eBook
Product  ISBN 

Software + eBook  9781642771749 
Software + eBook + Textbook  9781642772845 
Software + eBook + Guided Notebook  9781642773453 
Table of Contents

Chapter 1: Algebraic Expressions, Equations, and Inequalities
 1.1 Real Numbers and Algebraic Expressions
 1.2 Properties of Exponents and Radicals
 1.3 Polynomials and Factoring
 1.4 Rational Expressions
 1.5 Complex Numbers
 1.6 Linear Equations in One Variable
 1.7 Linear Inequalities in One Variable
 1.8 Polynomial and PolynomialLike Equations in One Variable
 1.9 Rational and Radical Equations in One Variable
 Chapter 1 Review

Chapter 2: Equations and Inequalities in Two Variables
 2.1 The Cartesian Coordinate System
 2.2 Circles
 2.3 Linear Equations in Two Variables
 2.4 Slope and Forms of Linear Equations
 2.5 Parallel and Perpendicular Lines
 2.6 Linear Inequalities in Two Variables
 Chapter 2 Review

Chapter 3: Relations, Functions, and Their Graphs
 3.1 Relations and Functions
 3.2 Linear Functions
 3.3 Quadratic Functions
 3.4 Other Common Functions
 3.5 Variation and Multivariable Functions
 3.6 Mathematical Models
 Chapter 3 Review

Chapter 4: Working with Functions
 4.1 Transformations of Functions
 4.2 Properties of Functions
 4.3 Combining Functions
 4.4 Inverses of Functions
 Chapter 4 Review

Chapter 5: Polynomial and Rational Functions
 5.1 Polynomial Functions and Polynomial Inequalities
 5.2 Polynomial Division and the Division Algorithm
 5.3 Locating Real Zeros of Polynomial Functions
 5.4 The Fundamental Theorem of Algebra
 5.5 Rational Functions and Rational Inequalities
 Chapter 5 Review

Chapter 6: Exponential and Logarithmic Functions
 6.1 Exponential Functions and Their Graphs
 6.2 Exponential Models
 6.3 Logarithmic Functions and Their Graphs
 6.4 Logarithmic Properties and Models
 6.5 Exponential and Logarithmic Equations
 Chapter 6 Review

Chapter 7: Trigonometric Functions
 7.1 Radian and Degree Measure
 7.2 Trigonometric Functions and Right Triangles
 7.3 Trigonometric Functions and the Unit Circle
 7.4 Graphs of Sine and Cosine Functions
 7.5 Graphs of Other Trigonometric Functions
 7.6 Inverse Trigonometric Functions
 Chapter 7 Review

Chapter 8: Trigonometric Identities and Equations
 8.1 Fundamental Trigonometric Identities
 8.2 Sum and Difference Identities
 8.3 ProductSum Identities
 8.4 Trigonometric Equations
 Chapter 8 Review

Chapter 9: Additional Topics in Trigonometry
 9.1 The Law of Sines
 9.2 The Law of Cosines
 9.3 Polar Coordinates and Polar Equations
 9.4 Parametric Equations
 9.5 Trigonometric Form of Complex Numbers
 9.6 Vectors in the Cartesian Plane
 9.7 The Dot Product
 9.8 Hyperbolic Functions
 Chapter 9 Review

Chapter 10: Conic Sections
 10.1 Ellipses
 10.2 Parabolas
 10.3 Hyperbolas
 10.4 Rotation of Conic Sections
 10.5 Polar Equations of Conic Sections
 Chapter 10 Review

Chapter 11: Systems of Equations and Inequalities
 11.1 Solving Systems of Linear Equations by Substitution and Elimination
 11.2 Matrix Notation and GaussJordan Elimination
 11.3 Determinants and Cramer's Rule
 11.4 Basic Matrix Operations
 11.5 Inverses of Matrices
 11.6 Partial Fraction Decomposition
 11.7 Systems of Linear Inequalities and Linear Programming
 11.8 Systems of Nonlinear Equations and Inequalities
 Chapter 11 Review

Chapter 12: Sequences, Series, Combinatorics, and Probability
 12.1 Sequences and Series
 12.2 Arithmetic Sequences and Series
 12.3 Geometric Sequences and Series
 12.4 Mathematical Induction
 12.5 Combinatorics
 12.6 Probability
 Chapter 12 Review

Chapter 13: An Introduction to Limits, Continuity, and the Derivative
 13.1 Rates of Change and Tangents
 13.2 Limits in the Plane
 13.3 The Mathematical Definition of Limit
 13.4 Determining Limits of Functions
 13.5 Continuity
 13.6 The Derivative
 Chapter 13 Review