Algebra and Trigonometry

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Algebra and Trigonometry

Format:  Hardcover,

919 pages

Publisher: Cengage Learning

Publish Date: Feb 2011

ISBN-13: 9780840068132

ISBN-10: 0840068131

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Book Information

The following content was provided by the publisher.
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.

Specifications

Author:
Author:
Publisher: Cengage Learning
Publish Date: Feb 2011
ISBN-13: 9780840068132
ISBN-10: 0840068131
Format: Hardcover
Number of Pages: 919
Shipping Weight (in pounds): 4.58
Product in Inches (L x W x H): 8.7 x 1.4 x 10.9

Chapter outline

Prologue: Principles of Problem Solving
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
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
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
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
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
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
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
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
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
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
Vectors in Two and Three Dimensions
Chapter Overview
Vectors in Two Dimensions
The Dot Product
Three Dimensional 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
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

Book description

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.

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