Pub. Date:
Houghton Mifflin Company
Precalculus: A Graphing Approach / Edition 3

Precalculus: A Graphing Approach / Edition 3

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Product Details

ISBN-13: 9780618066568
Publisher: Houghton Mifflin Company
Publication date: 01/01/2001

About the Author

Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2013 Text and Academic Authors Association Award for CALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, the 2011 William Holmes McGuffey Longevity Award for PRECALCULUS: REAL MATHEMATICS, REAL PEOPLE, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.

The Pennsylvania State University, The Behrend College Bio: Robert P. Hostetler received his Ph.D. in mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include remedial algebra, calculus, and math education, and his research interests include mathematics education and textbooks.

Dr. Bruce H. Edwards is Professor of Mathematics at the University of Florida. Professor Edwards received his B.S. in Mathematics from Stanford University and his Ph.D. in Mathematics from Dartmouth College. He taught mathematics at a university near Bogotá, Colombia, as a Peace Corps volunteer. While teaching at the University of Florida, Professor Edwards has won many teaching awards, including Teacher of the Year in the College of Liberal Arts and Sciences, Liberal Arts and Sciences Student Council Teacher of the Year, and the University of Florida Honors Program Teacher of the Year. He was selected by the Office of Alumni Affairs to be the Distinguished Alumni Professor for 1991-1993. Professor Edwards has taught a variety of mathematics courses at the University of Florida, from first-year calculus to graduate-level classes in algebra and numerical analysis. He has been a frequent speaker at research conferences and meetings of the National Council of Teachers of Mathematics. He has also coauthored a wide range of award winning mathematics textbooks with Professor Ron Larson.

Table of Contents

Note: Each chapter concludes with a Chapter Summary, Review Exercises, a Chapter Test, and Proofs in Mathematics. P. Prerequisites P.1 Real Numbers P.2 Exponents and Radicals P.3 Polynomials and Factoring P.4 Rational Expressions P.5 The Cartesian Plane P.6 Representing Data Graphically 1. Functions and Their Graphs Introduction to Library of Parent Functions 1.1 Graphs of Equations 1.2 Lines in the Plane 1.3 Functions 1.4 Graphs of Functions 1.5 Shifting, Reflection, and Stretching Graphs 1.6 Combinations of Functions 1.7 Inverse Functions 2. Solving Equations and Inequalities 2.1 Linear Equations and Problem Solving 2.2 Solving Equations Graphically 2.3 Complex Numbers 2.4 Solving Quadratic Equations Algebraically 2.5 Solving Other Types of Equations Algebraically 2.6 Solving Inequalities Algebraically and Graphically 2.7 Linear Models and Scatter Plots Cumulative Test: Chapters P-2 Progressive Summary: Chapters P-2 3. Polynomial and Rational Functions 3.1 Quadratic Functions 3.2 Polynomial Functions of Higher Degree 3.3 Real Zeros of Polynomial Functions 3.4 The Fundamental Theorem of Algebra 3.5 Rational Functions and Asymptotes 3.6 Graphs of Rational Functions 3.7 Quadratic Models 4. Exponential and Logarithmic Functions 4.1 Exponential Functions and Their Graphs 4.2 Logarithmic Functions and Their Graphs 4.3 Properties of Logarithms 4.4 Solving Exponential and Logarithmic Equations 4.5 Exponential and Logarithmic Models 4.6 Nonlinear Models Progressive Summary: Chapters P-4 5. Trigonometric Functions 5.1 Angles and Their Measure 5.2 Right Triangle Trigonometry 5.3 Trigonometric Functions of Any Angle 5.4 Graphs of Sine and Cosine Functions 5.5 Graphs of Other Trigonometric Functions 5.6 Inverse Trigonometric Functions 5.7 Applications and Models 6. Analytic Trigonometry 6.1 Using Fundamental Identities 6.2 Verifying Trigonometric Identities 6.3 Solving Trigonometric Equations 6.4 Sum and Difference Formulas 6.5 Multiple-Angle and Product-to-Sum Formulas 7. Additional Topics in Trigonometry 7.1 Law of Sines 7.2 Law of Cosines 7.3 Vectors in the Plane 7.4 Vectors and Dot Products 7.5 Trigonometric Form of a Complex Number Cumulative Test: Chapters 5-7 Progressive Summary: Chapters P-7 8. Linear Systems and Matrices 8.1 Solving Systems of Equations 8.2 Systems of Linear Equations in Two Variables 8.3 Multivariable Linear Systems 8.4 Matrices and Systems of Equations 8.5 Operations with Matrices 8.6 The Inverse of a Square Matrix 8.7 The Determinant of a Square Matrix 8.8 Applications of Matrices and Determinants 9. Sequences, Series, and Probability 9.1 Sequences and Series 9.2 Arithmetic Sequences and Partial Sums 9.3 Geometric Sequences and Series 9.4 Mathematical Induction 9.5 The Binomial Theorem 9.6 Counting Principals 9.7 Probability 10. Topics in Analytic Geometry 10.1 Conics: Circles and Parabolas 10.2 Conics: Ellipses 10.3 Conics: Hyperbolas 10.4 Parametric Equations 10.5 Polar Coordinates 10.6 Graphs of Polar Equations 10.7 Polar Equations of Conics Cumulative Test: Chapters 8-10 Progressive Summary: Chapters P-10 Appendix A. Technology Support Guide Appendix B. Concepts in Statistics B.1 Measures of Central Tendency and Dispersion B.2 Least Squares Regression Appendix C. Variation Appendix D. Solving Linear Equations and Inequalities Appendix E. Systems of Inequalities E.1 Solving Systems of Inequalities E.2 Linear Programming Appendix F. Study Capsules

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