Book Details
| Print ISBN | 9780138251406 |
| eText ISBN | 9780138251314 |
| Publisher | Pearson |
| Publishing Year | 2024 |
| Edition | 12th Edition |
| Language | English |
| Pages | 1046 |
Algebra & Trigonometry, 12th Edition, is a mathematics textbook authored by Michael Sullivan and published by Pearson. The volume provides instructional explanations and exercises designed to support students throughout their mathematics studies.
Broad areas of coverage encompass equations and inequalities, the properties and graphing of functions, and trigonometry. The text examines coordinate geometry, polynomial and rational functions, and exponential and logarithmic models, alongside analytic trigonometry, vectors, and systems of equations.
Learning is structured around Sullivan's Prepare, practice, review framework. This method guides students as they prepare for class, practice problem solving with homework exercises, and review essential mathematical concepts.
Table of Contents
Chapter 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 _n_th Roots; Rational Exponents
Chapter 1: Equations and Inequalities
- • 1.1 Linear Equations
- • 1.2 Quadratic Equations
- • 1.3 Complex Numbers; Quadratic Equations in the Complex Number System
- • 1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations
- • 1.5 Solving Inequalities
- • 1.6 Equations and Inequalities Involving Absolute Value
- • 1.7 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
- • Chapter 1 Review, Test, and Projects
Chapter 2: Graphs
- • 2.1 The Distance and Midpoint Formulas
- • 2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
- • 2.3 Lines
- • 2.4 Circles
- • 2.5 Variation
- • Chapter 2 Review, Test, Cumulative Review, and Project
Chapter 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; Piecewise-defined Functions
- • 3.5 Graphing Techniques: Transformations
- • 3.6 Mathematical Models: Building Functions
- • Chapter 3 Review, Test, Cumulative Review, and Projects
Chapter 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
- • Chapter 4 Review, Test, Cumulative Review, and Projects
Chapter 5: Polynomial and Rational Functions
- • 5.1 Polynomial Functions
- • 5.2 Graphing Polynomials Functions; Models
- • 5.3 Properties of Rational Functions
- • 5.4 The Graph of a Rational Function
- • 5.5 Polynomial and Rational Inequalities
- • 5.6 The Real Zeros of a Polynomial Function
- • 5.7 Complex Zeros; Fundamental Theorem of Algebra
- • Chapter 5 Review, Test, Cumulative Review, and Projects
Chapter 6: Exponential and Logarithmic Functions
- • 6.1 Composite Functions
- • 6.2 One-to-One 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
- • Chapter 6 Review, Test, Cumulative Review, and Projects
Chapter 7: Trigonometric Functions
- • 7.1 Angles, Arc, Length, and Circular Motion
- • 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
- • Chapter 7 Review, Test, Cumulative Review, and Projects
Chapter 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 Double-angle and Half-angle Formulas
- • 8.7 Product-to-Sum and Sum-to-Product Formulas
- • Chapter 8 Review, Test, Cumulative Review, and Projects
Chapter 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
- • Chapter 9 Review, Test, Cumulative Revivew, and Projects
Chapter 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
- • Chapter 10 Review, Test, Cumulative Review, and Projects
Chapter 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
- • Chapter 11 Review, Test, Cumulative Review, and Projects
Chapter 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
- • Chapter 12 Review, Test, Cumulative Review, and Projects
Chapter 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
- • Chapter 13 Review, Test, Cumulative Review, and Projects
Chapter 14: Counting and Probability
- • 14.1 Counting
- • 14.2 Permutations and Combinations
- • 14.3 Probability
- • Chapter 14 Review, Test, Cumulative Review, and Projects
Chapter Appendix: Graphing Utilities
- • A.1 The Viewing Rectangle
- • A.2 Using a Graphing Utility to Graph Equations
- • A.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
- • A.4 Using a Graphing Utility to Solve Equations
- • A.5 Square Screens
- • A.6 Using a Graphing Utility to Graph Inequalities
- • A.7 Using a Graphing Utility to Solve Systems of Linear Equations
- • A.8 Using a Graphing Utility to Graph a Polar Equation
- • A.9 Using a Graphing Utility to Graph Parametric Equations
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