Algebra and Trigonometry, Enhanced Edition

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  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 7/17/2009
  • Publisher: Brooks Cole

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Choose the algebra book that's written so you can understand it. ALGEBRA AND TRIGONOMETRY reads simply and clearly so you can grasp the math you need to ace the test. And with Video Skillbuilder CD-ROM, you'll follow video presentations that show you step-by-step how it all works. Plus, this edition comes with iLrn, the online tool that lets you sign on, save time, and get the grade you want. With iLrn, you'll get customized explanations of the material you need to know through explanations you can understand, as well as tons of practice and step-by-step problem-solving help. Make ALGEBRA AND TRIGONOMETRY your choice today. This Enhanced Edition includes instant access to Enhanced WebAssignŽ, the most widely-used and reliable homework system. Enhanced WebAssignŽ presents thousands of problems, links to relevant book sections, video examples, problem-specific tutorials, and more, that help students grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this book. This guide contains instructions to help users learn the basics of WebAssign quickly.

Table of Contents

P. 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
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 Determinantsand 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
Chapter 11 Review
Chapter 11 Test
Focus on Modeling: The Path of a Projectile
Sequences And Series
Sequences and Summation Notation
Arithmetic Sequences
Geometric Sequences
Discovery Project: Finding Patterns
Mathematics of Finance
Mathematical Induction
The Binomial Theorem
Chapter 12 Review
Chapter 12 Test
Focus on Modeling: Modeling with Recursive Sequences
Counting And Probability
Counting Principles
Permutations and Combinations
Discovery Project: Small Samples, Big Results
Binomial Probability
Expected Value
Chapter 13 Review
Chapter 13 Test
Focus on Modeling: The Monte Carlo Method
Table of Contents provided by Publisher. All Rights Reserved.

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