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More About This Textbook
Overview
Choose the algebra textbook 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 CDROM, you'll follow video presentations that show you stepbystep 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 stepbystep problemsolving help. Make ALGEBRA AND TRIGONOMETRY your choice today. This Enhanced Edition includes instant access to Enhanced WebAssign, the most widelyused and reliable homework system. Enhanced WebAssign presents thousands of problems, links to relevant textbook sections, video examples, problemspecific 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 text. This guide contains instructions to help students learn the basics of WebAssign quickly.
Editorial Reviews
Booknews
The authors of this collegelevel text work from the premise that conceptual understanding and technical skills are inextricable. They emphasize a view of mathematics as a problemsolving art (rather than a collection of facts) that will help students succeed not only in subsequent math and science courses, but in the increasingly technologyoriented career world as well. Based on their own experiences in teaching algebra, trigonometry, and precalculus, they include elements such as progressive exercise sets, projects that students can work on alone or in groups, vignettes about interesting mathematicians and uses of math, and examples of realworld applications. Annotation c. Book News, Inc., Portland, OR (booknews.com)Product Details
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Meet the Author
James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart is currently Professor of Mathematics at McMaster University, and his research field is harmonic analysis. Stewart is the author of a bestselling calculus textbook series published by Cengage Learning Brooks/Cole, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.
Lothar Redlin grew up on Vancouver Island, received a Bachelor of Science degree from the University of Victoria, and a Ph.D. from McMaster University in 1978. He subsequently did research and taught at the University of Washington, the University of Waterloo, and California State University, Long Beach. He is currently Professor of Mathematics at The Pennsylvania State University, Abington Campus. His research field is topology.
Saleem Watson received his Bachelor of Science degree from Andrews University in Michigan. He did graduate studies at Dalhousie University and McMaster University, where he received his Ph.D. in 1978. He subsequently did research at the Mathematics Institute of the University of Warsaw in Poland. He also taught at The Pennsylvania State University. He is currently Professor of Mathematics at California State University, Long Beach. His research field is functional analysis.
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. 1. 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. Chapter 1 Review. Chapter 1 Test. Focus on Modeling: Making the Best Decisions. 2. 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. Chapter 2 Review. Chapter 2 Test. Focus on Modeling: Fitting Lines to Data. 3. 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. OnetoOne Functions and Their Inverses. Chapter 3 Review. Chapter 3 Test. Focus on Modeling: Modeling With Functions. 4. 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. 5. 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. 6. 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. 7. TRIGONOMETRIC FUNCTIONS OF REAL NUMBERS. The Unit Circle. Trigonometric Functions of Real Numbers. Trigonometric Graphs. Discovery Project: PredatorPrey Models. More Trigonometric Graphs. Modeling Harmonic Motion. Chapter 7 Review. Chapter 7 Test. Focus on Modeling: Fitting Sinusoidal Curves to Data. 8. ANALYTIC TRIGONOMETRY. Trigonometric Identities. Addition and Subtraction Formulas. DoubleAngle, HalfAngle, and SumProduct 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. 9. 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. Chapter 9 Review. Chapter 9 Test. Focus on Modeling: Mapping the World. 10. 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. 11. 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. Chapter 11 Review. Chapter 11 Test. Focus on Modeling: The Path of a Projectile. 12. 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. 13. COUNTING AND PROBABILITY. Counting Principles. Permutations and Combinations. Probability. Discovery Project: Small Samples, Big Results. Binomial Probability. Expected Value. Chapter 13 Review. Chapter 13 Test. Focus on Modeling: The Monte Carlo Method.