Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry, 4th edition
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Overview
Known for their ability to connect with students, acclaimed authors Sullivan and Sullivan focus on the fundamentals (preparing for class, practice with homework, reviewing key concepts), encouraging the conceptual understanding and mastery of basic skills you'll need for this and future courses. Part of the Concepts Through Functions Series, Precalculus: Concepts through Functions, A Unit Circle Approach to Trigonometry introduces functions at the start and maintains a continuous theme by introducing and developing a new function in every chapter. Graphing utility coverage is optional and can be included at the instructor's discretion. In the 4th Edition, new Desmos^{©} screen captures have been added throughout, reflecting that graphing technology expands beyond graphing calculators; updated Retain Your Knowledge problems improve your recall of concepts learned earlier in the course; and much more.
Published by Pearson (January 25th 2021)  Copyright © 2019
ISBN13: 9780137399635
Subject: Precalculus, College Algebra & Trigonometry
Category: Precalculus
Overview
 F. Foundations: A Prelude to Functions
 F.1 The Distance and Midpoint Formulas
 F.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
 F.3 Lines
 F.4 Circles
 Chapter Project
 Functions and Their Graphs
 1.1 Functions
 1.2 The Graph of a Function
 1.3 Properties of Functions
 1.4 Library of Functions; Piecewisedefined Functions
 1.5 Graphing Techniques: Transformations
 1.6 Mathematical Models: Building Functions
 1.7 Building Mathematical Models Using Variation
 Chapter Review
 Chapter Test
 Chapter Projects
 Linear and Quadratic Functions
 2.1 Properties of Linear Functions and Linear Models
 2.2 Building Linear Models from Data
 2.3 Quadratic Functions and Their Zeros
 2.4 Properties of Quadratic Functions
 2.5 Inequalities Involving Quadratic Functions
 2.6 Building Quadratic Models from Verbal Descriptions and from Data
 2.7 Complex Zeros of a Quadratic Function
 2.8 Equations and Inequalities Involving the Absolute Value Function
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
 Polynomial and Rational Functions
 3.1 Polynomial Functions and Models
 3.2 The Real Zeros of a Polynomial Function
 3.3 Complex Zeros; Fundamental Theorem of Algebra
 3.4 Properties of Rational Functions
 3.5 The Graph of a Rational Function
 3.6 Polynomial and Rational Inequalities
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
 Exponential and Logarithmic Functions
 4.1 Composite Functions
 4.2 OnetoOne Functions; Inverse Functions
 4.3 Exponential Functions
 4.4 Logarithmic Functions
 4.5 Properties of Logarithms
 4.6 Logarithmic and Exponential Equations
 4.7 Financial Models
 4.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models
 4.9 Building Exponential, Logarithmic, and Logistic Models from Data
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
 Trigonometric Functions
 5.1 Angles and Their Measure
 5.2 Trigonometric Functions: Unit Circle Approach
 5.3 Properties of the Trigonometric Functions
 5.4 Graphs of the Sine and Cosine Functions
 5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
 5.6 Phase Shift; Sinusoidal Curve Fitting
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
 Analytic Trigonometry
 6.1 The Inverse Sine, Cosine, and Tangent Functions
 6.2 The Inverse Trigonometric Functions (Continued)
 6.3 Trigonometric Equations
 6.4 Trigonometric Identities
 6.5 Sum and Difference Formulas
 6.6 Doubleangle and Halfangle Formulas
 6.7 ProducttoSum and SumtoProduct Formulas
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
 Applications of Trigonometric Functions
 7.1 Right Triangle Trigonometry; Applications
 7.2 The Law of Sines
 7.3 The Law of Cosines
 7.4 Area of a Triangle
 7.5 Simple Harmonic Motion; Damped Motion; Combining Waves
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
 Polar Coordinates; Vectors
 8.1 Polar Coordinates
 8.2 Polar Equations and Graphs
 8.3 The Complex Plane; De Moivre’s Theorem
 8.4 Vectors
 8.5 The Dot Product
 8.6 Vectors in Space
 8.7 The Cross Product
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
 Analytic Geometry
 9.1 Conics
 9.2 The Parabola
 9.3 The Ellipse
 9.4 The Hyperbola
 9.5 Rotation of Axes; General Form of a Conic
 9.6 Polar Equations of Conics
 9.7 Plane Curves and Parametric Equations
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
 Systems of Equations and Inequalities
 10.1 Systems of Linear Equations: Substitution and Elimination
 10.2 Systems of Linear Equations: Matrices
 10.3 Systems of Linear Equations: Determinants
 10.4 Matrix Algebra
 10.5 Partial Fraction Decomposition
 10.6 Systems of Nonlinear Equations
 10.7 Systems of Inequalities
 10.8 Linear Programming
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
 Sequences; Induction; the Binomial Theorem
 11.1 Sequences
 11.2 Arithmetic Sequences
 11.3 Geometric Sequences; Geometric Series
 11.4 Mathematical Induction
 11.5 The Binomial Theorem
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
 Counting and Probability
 12.1 Counting
 12.2 Permutations and Combinations
 12.3 Probability
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
 A Preview of Calculus: The Limit, Derivative, and Integral of a Function
 13.1 Finding Limits Using Tables and Graphs
 13.2 Algebra Techniques for Finding Limits
 13.3 Onesided Limits; Continuous Functions
 13.4 The Tangent Problem; The Derivative
 13.5 The Area Problem; The Integral
 Chapter Review
 Chapter Test
 Chapter Projects
Appendix A: Review
 A.1 Algebra Essentials
 A.2 Geometry Essentials
 A.3 Polynomials
 A.4 Factoring Polynomials
 A.5 Synthetic Division
 A.6 Rational Expressions
 A.7 nth Roots; Rational Exponents
 A.8 Solving Equations
 A.9 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
 A.10 Interval Notation; Solving Inequalities
 A.11 Complex Numbers
Appendix B: Graphing Utilities
 B.1 The Viewing Rectangle
 B.2 Using a Graphing Utility to Graph Equations
 B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
 B.4 Using a Graphing Utility to Solve Equations
 B.5 Square Screens
 B.6 Using a Graphing Utility to Graph Inequalities
 B.7 Using a Graphing Utility to Solve Systems of Linear Equations
 B.8 Using a Graphing Utility to Graph a Polar Equation
 B.9 Using a Graphing Utility to Graph Parametric Equations
Answers
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Index
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