Algebra and Trigonometry Enhanced with Graphing Utilities, 8th edition
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Overview
The proven approach of Michael Sullivan and Michael Sullivan III focuses you on the fundamental skills needed for the algebra and trigonometry course: prepare for class, practice with homework, and review the concepts. Part of the Enhanced with Graphing Utilities Series, Algebra and Trigonometry Enhanced with Graphing Utilities fully integrates graphing utilities into topics, allowing you to explore mathematical concepts and encounter ideas usually studied in later courses. Many examples show solutions using algebra side by side with graphing techniques. In the 8th Edition, all exercises and examples in the text have been reviewed and updated as needed, and the authors have added new problemsolving and review features.
Published by Pearson (September 1st 2020)  Copyright © 2021
ISBN13: 9780136872795
Subject: Precalculus, College Algebra & Trigonometry
Category: Algebra & Trigonometry
Overview
R. Review
 R.1 Real Numbers
 R.2 Algebra Essentials
 R.3 Geometry Essentials
 R.4 Polynomials
 R.5 Factoring Polynomials
 R.6 Synthetic Division
 R.7 Rational Expressions
 R.8 nth Roots; Rational Exponents
1. Graphs, Equations, and Inequalities
 1.1 Graphing Utilities; Introduction to Graphing Equations
 1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations
 1.3 Quadratic Equations
 1.4 Complex Numbers; Quadratic Equations in the Complex Number System
 1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations
 1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
 1.7 Solving Inequalities
2. Graphs
 2.1 The Distance and Midpoint Formulas
 2.2 Intercepts: Symmetry; Graphing Key Equations
 2.3 Lines
 2.4 Circles
 2.5 Variation
3. Functions and Their Graphs
 3.1 Functions
 3.2 The Graph of a Function
 3.3 Properties of Functions
 3.4 Library of Functions; Piecewisedefined Functions
 3.5 Graphing Techniques: Transformations
 3.6 Mathematical Models: Building Functions
4. Linear and Quadratic Functions
 4.1 Properties of Linear Functions and Linear Models
 4.2 Building Linear Models from Data
 4.3 Quadratic Functions and Their Properties
 4.4 Build Quadratic Models from Verbal Descriptions and from Data
 4.5 Inequalities Involving Quadratic Functions
5. Polynomial and Rational Functions
 5.1 Polynomial Functions
 5.2 The Graph of a Polynomial Function; Models
 5.3 The Real Zeroes of a Polynomial Function
 5.4 Complex Zeroes: Fundamental Theorem of Algebra
 5.5 Properties of Rational Functions
 5.6 The Graph of a Rational Function
 5.7 Polynomial and Rational Inequalities
6. Exponential and Logarithmic Functions
 6.1 Composite Functions
 6.2 OnetoOne Functions; Inverse Functions
 6.3 Exponential Functions
 6.4 Logarithmic Functions
 6.5 Properties of Logarithms
 6.6 Logarithmic and Exponential Equations
 6.7 Financial Models
 6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
 6.9 Building Exponential, Logarithmic, and Logistic Models from Data
7. Trigonometric Functions
 7.1 Angles and Their Measure
 7.2 Right Triangle Trigonometry
 7.3 Computing the Values of Trigonometric Functions of Acute Angles
 7.4 Trigonometric Functions of Any Angle
 7.5 Unit Circle Approach; Properties of the Trigonometric Functions
 7.6 Graphs of the Sine and Cosine Functions
 7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
 7.8 Phase Shift; Sinusoidal Curve Fitting
8. Analytic Trigonometry
 8.1 The Inverse Sine, Cosine, and Tangent Functions
 8.2 The Inverse Trigonometric Functions (Continued)
 8.3 Trigonometric Equations
 8.4 Trigonometric Identities
 8.5 Sum and Difference Formulas
 8.6 Doubleangle and Halfangle Formulas
 8.7 ProducttoSum and SumtoProduct Formulas
9. Applications of Trigonometric Functions
 9.1 Applications Involving Right Triangles
 9.2 The Law of Sines
 9.3 The Law of Cosines
 9.4 Area of a Triangle
 9.5 Simple Harmonic Motion; Damped Motion; Combining Waves
10. Polar Coordinates; Vectors
 10.1 Polar Coordinates
 10.2 Polar Equations and Graphs
 10.3 The Complex Plane; De Moivre's Theorem
 10.4 Vectors
 10.5 The Dot Product
11. Analytic Geometry
 11.1 Conics
 11.2 The Parabola
 11.3 The Ellipse
 11.4 The Hyperbola
 11.5 Rotation of Axes; General Form of a Conic
 11.6 Polar Equations of Conics
 11.7 Plane Curves and Parametric Equations
12. Systems of Equations and Inequalities
 12.1 Systems of Linear Equations: Substitution and Elimination
 12.2 Systems of Linear Equations: Matrices
 12.3 Systems of Linear Equations: Determinants
 12.4 Matrix Algebra
 12.5 Partial Fraction Decomposition
 12.6 Systems of Nonlinear Equations
 12.7 Systems of Inequalities
 12.8 Linear Programming
13. Sequences; Induction; the Binomial Theorem
 13.1 Sequences
 13.2 Arithmetic Sequences
 13.3 Geometric Sequences; Geometric Series
 13.4 Mathematical Induction
 13.5 The Binomial Theorem
14. Counting and Probability
 14.1 Counting
 14.2 Permutations and Combinations
 14.3 Probability
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