Title:
Algebra and trigonometry
Personal Author:
Edition:
3rd ed.
Publication Information:
Belmont, C.A. : Brooks/Cole, Cengage Learning, c2012
Physical Description:
xxi, 4, 919, 79, 13 p. : col. ill. ; 29 cm.
ISBN:
9780840068132
General Note:
Includes index
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010290777 | QA152.3 S74 2012 f | Open Access Book | Book | Searching... |
On Order
Summary
Summary
This best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, the book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas. The authors' attention to detail and clarity, the same as found in James Stewart's market-leading Calculus book, is what makes this book the market leader.
Table of Contents
| Prologue: Principles of Problem Solving |
| 1 Prerequisites |
| Modeling the Real World |
| Real Numbers and Their Properties |
| The Real Number Line and Order |
| Integer Exponents |
| Rational Exponents and Radicals |
| Algebraic Expressions |
| Factoring Algebraic Expressions |
| Rational Expressions |
| Chapter P Review |
| Chapter P Test |
| Focus on Problem Solving: General Principles |
| 1 Equations and Inequalities |
| Chapter Overview |
| Basic Equations |
| Modeling with Equations |
| Quadratic Equations |
| Complex Numbers |
| Other Types of Equations |
| Inequalities |
| Absolute Value Equations and Inequalities |
| Chapter 1 Review |
| Chapter 1 Test |
| Focus on Modeling: Making the Best Decisions |
| 2 Coordinates and Graphs |
| Chapter Overview |
| The Coordinate Plane |
| Graphs of Equations in Two Variables |
| Graphing Calculators: Solving Equations Graphically |
| Lines |
| Modeling: Variation |
| Chapter 2 Review |
| Chapter 2 Test |
| Focus on Modeling: Fitting Lines to Data |
| Cumulative Review Test: Chapters 1 and 2 |
| 3 Functions |
| Chapter Overview |
| What Is a Function? |
| Graphs of Functions |
| Getting Information from the Graph of a Function |
| Average Rate of Change of a Function |
| Transformations of Functions |
| Combining Functions |
| One-to-One Functions and Their Inverses |
| Chapter 3 Review |
| Chapter 3 Test |
| Focus on Modeling: Functions as Models |
| 4 Polynomial and Rational Functions |
| Chapter Overview |
| Quadratic Functions and Models |
| Polynomial Functions and Their Graphs |
| Dividing Polynomials |
| Real Zeros of Polynomials |
| Complex Numbers |
| Complex Zeros and the Fundamental Theorem of Algebra |
| Rational Functions |
| Chapter 4 Review |
| Chapter 4 Test |
| Focus on Modeling: Fitting Polynomial Curves to Data |
| 5 Exponential and Logarithmic Functions |
| Chapter Overview |
| Exponential Functions |
| The Natural Exponential Function |
| Logarithmic Functions |
| Laws of Logarithms |
| Exponential and Logarithmic Equations |
| Modeling with Exponential and Logarithmic Functions |
| Chapter 5 Review |
| Chapter 5t Test |
| Focus on Modeling: Fitting Exponential and Power Curves to Data |
| Cumulative Review Test: Chapters 3, 4, and 5 |
| 6 Trigonometric Functions: Right Triangle Approach |
| Chapter Overview |
| Angle Measure |
| Trigonometry of Right Triangles |
| Trigonometric Functions of Angles |
| Inverse Trigonometric Functions and Triangles |
| The Law of Sines |
| The Law of Cosines |
| Chapter 6 Review |
| Chapter 6 Test |
| Focus on Modeling: Surveying |
| 7 Trigonometric Functions: Unit Circle Approach |
| Chapter Overview |
| The Unit Circle |
| Trigonometric Functions of Real Numbers |
| Trigonometric Graphs |
| More Trigonometric Graphs |
| Inverse Trigonometric Functions and Their Graphs |
| Modeling Harmonic Motion |
| Chapter 7 Review |
| Chapter 7 Test |
| Focus on Modeling: Fitting Sinusoidal Curves to Data |
| 8 Analytic Trigonometry |
| Chapter Overview |
| Trigonometric Identities |
| Addition and Subtraction Formulas |
| Double-Angle, Half-Angle, and Sum-Product Identities |
| Basic Trigonometric Equations |
| More Trigonometric Equations |
| Chapter 8 Review |
| Chapter 8 Test |
| Focus on Modeling: Traveling and Standing Waves |
| Cumulative Review Test: Chapters 6, 7, and 8 |
| 9 Polar Coordinates and Parametric Equations |
| Chapter Overview |
| Polar Coordinates |
| Graphs of Polar Equations |
| Polar Form of Complex Numbers; DeMoivre's Theorem |
| Plane Curves and Parametric Equations |
| Chapter 9 Review |
| Chapter 9 Test |
| Focus on Modeling: The Path of a Projectile |
| 10 Vectors in Two and Three Dimensions |
| Chapter Overview |
| Vectors in Two Dimensions |
| The Dot Product |
| Three ûDimensional Coordinate Geometry |
| Vectors in Three Dimensions |
| The Cross Product |
| Equations of Lines and Planes |
| Chapter 10 Review |
| Chapter 10 Test |
| Focus on Modeling: Vector Fields |
| Cumulative Review Test: Chapters 9 and 10 |
| 11 Systems of Equations and Inequalities |
| Chapter Overview |
| Systems of Linear Equations in Two Variables |
| Systems of Linear Equations in Several Variables |
| Systems of Linear Equations: Matrices |
| The Algebra of Matrices |
| Inverses of Matrices and Matrix Equations |
| Determinants and Cramer's Rule |
| Partial Fractions |
| Systems of Non-Linear Equations |
| Systems |
