Algebra and Trigonometry

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  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 2006-01-03
  • Publisher: Brooks Cole
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Table of Contents

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
Absolute Value Equations and Inequalities
Chapter 1 Review
Chapter 1 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
Modeling: Variation
Chapter 2 Review
Chapter 2 Test
Focus on Modeling: Fitting Lines to Data
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
Chapter 3 Review
Chapter 3 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
Chapter 4 Review
Chapter 4 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
Chapter 5 Review
Chapter 5 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
Chapter 6 Review
Chapter 6 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
Chapter 7 Review
Chapter 7 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
Chapter 8 Review
Chapter 8 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
The Dot Product
Discovery Project: Sailing Against the Wind
Chapter 9 Review
Chapter 9 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
Chapter 10 Review
Chapter 10 Test
Focus on Modeling: Linear Programming
Analytic Geometry
Discovery Project: Conics in Architecture
Shifted Conics
Rotation of Axes
Discovery Project: Computer Graphics II
Polar Equations of Conics
Plane Curves and Parametric Equations
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