9780495013570

Algebra and Trigonometry (with Video Skillbuilder CD-ROM and CengageNOW, iLrn™ Homework Student Version, Personal Tutor with SMARTHINKING Printed Access Card)

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  • ISBN13:

    9780495013570

  • ISBN10:

    0495013579

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 1/3/2006
  • Publisher: Cengage Learning
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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, so that when students finish the course, they have a solid foundation in the principles of mathematical thinking. This comprehensive, evenly paced book provides complete coverage of the function concept and integrates substantial graphing calculator materials that help students develop insight into mathematical ideas. The authors' attention to detail and clarity, as in James Stewart's market-leading Calculus text, is what makes this text the market leader.

Table of Contents

Prerequisites
Modeling the Real World
Real Numbers
Integer Exponents
Rational Exponents and Radicals
Algebraic Expressions
Discovery Project: Visualizing a Formula
Factoring Algebraic Expressions
Rational Expressions
Chapter P Review
Chapter P Test
Focus on Problem Solving: General Principles
Equations and Inequalities
Basic Equations
Modeling with Linear Equations
Discovery Project: Equations Through the Ages
Quadratic Equations
Complex Numbers
Other Types of Equations
Inequalities
Absolute Value Equations and Inequalities
Review
Test
Focus on Modeling: Making the Best Decisions
Coordinates and Graphs
The Coordinate Plane
Discovery Project: Visualizing Data
Graphs of Equations in Two Variables
Graphing Calculators: Solving Equations and Inequalities Graphically
Lines
Modeling: Variation
Review
Test
Focus on Modeling: Fitting Lines to Data
Functions
What is a Function? Graphs of Functions
Discovery Project: Relations and Functions
Increasing and Decreasing Functions: Average Rate of Change
Transformations of Functions
Quadratic Functions: Maxima and Minima
Combining Functions
Discovery Project: Iteration and Chaos
One-to-One Functions and Their Inverses
Review
Test
Focus on Modeling: Modeling With Functions
Polynomial and Rational Functions
Polynomial Functions and Their Graphs
Dividing Polynomials
Real Zeros of Polynomials
Discovery Project: Zeroing in on a Zero
Complex Zeros and the Fundamental Theorem of Algebra
Rational Functions
Review
Test
Focus on Modeling: Fitting Polynomial Curves to Data
Exponential and Logarithmic Functions
Exponential Functions
Discovery Project: Exponential Explosion
Logarithmic Functions
Laws of Logarithms
Exponential and Logarithmic Equations
Modeling with Exponential and Logarithmic Functions
Review
Test
Focus on Modeling: Fitting Exponential and Power Curves to Data
Trigonometric Functions of Angles
Angle Measure
Trigonometry of Right Triangles
Trigonometric Functions of Angles
Discovery Project: Similarity
The Law of Sines
The Law of Cosines
Review
Test
Focus on Modeling: Surveying
Trigonometric Functions of Real Numbers
The Unit Circle
Trigonometric Functions of Real Numbers
Trigonometric Graphs
Discovery Project: Predator-Prey Models
More Trigonometric Graphs
Modeling Harmonic Motion
Review
Test
Focus on Modeling: Fitting Sinusoidal Curves to Data
Analytic Trigonometry
Trigonometric Identities
Addition and Subtraction Formulas
Double-Angle, Half-Angle, and Sum-Product Identities
Inverse Trigonometric Functions
Discovery Project:Where to Sit at the Movies
Trigonometric Equations
Review
Test
Focus on Modeling: Traveling and Standing Waves
Polar Coordinates and Vectors
Polar Coordinates
Graphs of Polar Equations
Polar Form of Complex Numbers; DeMoivre's Theorem
Discovery Project: Fractals
Vectors
The Dot Product
Discovery Project: Sailing Against the Wind
Review
Test
Focus on Modeling: Mapping the World
Systems of Equations and Inequalities
Systems of Equations
Systems of Linear Equations in Two Variables
Systems of Linear Equations in Several Variables
Discovery Project: Best Fit versus Exact Fit
Systems of Linear Equations: Matrices
The Algebra of Matrices
Discovery Project: Will the Species Survive? Inverses of Matrices and Matrix Equations
Discovery Project: Computer Graphics I
Determinants and Cramer's Rule
Partial Fractions
Systems of Inequalities
Review
Test
Focus on Modeling: Linear Programming
Analytic Geometry
Parabolas
Ellipses
Hyperbolas
Discovery Project: Conics in Architecture
Shifted Conics
Rotation of Axes
Discovery Project: Computer Graphics II
Polar Equations of Conics
Plane Curves and Parametric Equations
Chapt
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