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Algebra and Trigonometry: An Early Functions Approach

Algebra and Trigonometry: An Early Functions Approach


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About the Book

Bob Blitzer’s unique background in mathematics and behavioral sciences, along with his commitment to teaching, inspired him to develop a precalculus series that gets students engaged and keeps them engaged. Presenting the full scope of the mathematics is just the first step. Blitzer draws students in with vivid applications that use math to solve real-life problems. These applications help answer the question “When will I ever use this?” Students stay engaged because the book helps them remain focused as they study. The three-step learning system–See It, Hear It, Try It–makes examples easy to follow, while frequent annotations offer the support and guidance of an instructor’s voice. Every page is interesting and relevant, ensuring that students will actually use their textbook to achieve success!

Table of Contents:
Preface Acknowledgments To the Student About the Author Applications Index   P.  Prerequisites: Fundamental Concepts of Algebra P.1 Algebraic Expressions, Mathematical Models, and Real Numbers P.2 Basic Rules of Algebra P.3 Exponents and Scientific Notation P.4 Radicals and Rational Exponents P.5 Polynomials       Mid-Chapter Check Point P.6 Factoring Polynomials P.7 Rational Expressions       SUMMARY, REVIEW, AND TEST       REVIEW EXERCISES       CHAPTER P TEST   1. Functions and Graphs 1.1 Graphs and Graphing Utilities 1.2 Basics of Functions and Their Graphs 1.3 More on Functions and Their Graphs 1.4 Linear Functions and Slope 1.5 More on Slope       Mid-Chapter Check Point 1.6 Transformations of Functions 1.7 Combinations of Functions; Composite Functions 1.8 Inverse Functions 1.9 Distance and Midpoint Formulas; Circles       SUMMARY, REVIEW, AND TEST       REVIEW EXERCISES       CHAPTER 1 TEST   2. Equations and Inequalities 2.1 Linear Equations and Rational Equations 2.2 Models and Applications 2.3 Complex Numbers 2.4 Quadratic Equations       Mid-Chapter Check Point 2.5 Other Types of Equations 2.6 Linear Inequalities and Absolute Value Inequalities       SUMMARY, REVIEW, AND TEST       REVIEW EXERCISES       CHAPTER 2 TEST       CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-2)   3. Polynomial and Rational Functions 3.1 Quadratic Functions 3.2 Polynomial Functions and Their Graphs 3.3 Dividing Polynomials; Remainder and Factor Theorems 3.4 Zeros of Polynomial Functions       Mid-Chapter Check Point 3.5 Rational Functions and Their Graphs 3.6 Polynomial and Rational Inequalities 3.7 Modeling Using Variation       SUMMARY, REVIEW, AND TEST       REVIEW EXERCISES       CHAPTER 3 TEST       CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-3)   4. Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Logarithmic Functions 4.3 Properties of Logarithms       Mid-Chapter Check Point 4.4 Exponential and Logarithmic Equations 4.5 Exponential Growth and Decay; Modeling Data       SUMMARY, REVIEW, AND TEST       REVIEW EXERCISES       CHAPTER 4 TEST       CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-4)   5. Trigonometric Functions 5.1 Angles and Radian Measure 5.2 Right Triangle Trigonometry 5.3 Trigonometric Functions of Any Angle 5.4 Trigonometric Functions of Real Numbers; Periodic Functions       Mid-Chapter Check Point 5.5 Graphs of Sine and Cosine Functions 5.6 Graphs of Other Trigonometric Functions 5.7 Inverse Trigonometric Functions 5.8 Applications of Trigonometric Functions       SUMMARY, REVIEW, AND TEST       REVIEW EXERCISES       CHAPTER 5 TEST       CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-5)   6. Analytic Trigonometry 6.1 Verifying Trigonometric Identities 6.2 Sum and Difference Formulas 6.3 Double-Angle, Power-Reducing, and Half-Angle Formulas       Mid-Chapter Check Point 6.4 Product-to-Sum and Sum-to-Product Formulas 6.5 Trigonometric Equations       SUMMARY, REVIEW, AND TEST        REVIEW EXERCISES        CHAPTER 6 TEST        CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-6)   7. Additional Topics in Trigonometry 7.1 The Law of Sines 7.2 The Law of Cosines 7.3 Polar Coordinates 7.4 Graphs of Polar Equations       Mid-Chapter Check Point 7.5 Complex Numbers in Polar Form; DeMoivre's Theorem 7.6 Vectors 7.7  The Dot Product       SUMMARY, REVIEW, AND TEST       REVIEW EXERCISES       CHAPTER 7 TEST       CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-7)   8. Systems of Equations and Inequalities 8.1 Systems of Linear Equations in Two Variables 8.2 Systems of Linear Equations in Three Variables 8.3 Partial Fractions 8.4 Systems of Nonlinear Equations in Two Variables       Mid-Chapter Check Point 8.5 Systems of Inequalities 8.6 Linear Programming       SUMMARY, REVIEW, AND TEST       REVIEW EXERCISES       CHAPTER 8 TEST       CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-8)   9. Matrices and Determinants 9.1 Matrix Solutions to Linear Systems 9.2 Inconsistent and Dependent Systems and Their Applications 9.3 Matrix Operations and Their Applications       Mid-Chapter Check Point 9.4 Multiplicative Inverses of Matrices and Matrix Equations 9.5 Determinants and Cramer's Rule       SUMMARY, REVIEW, AND TEST       REVIEW EXERCISES       CHAPTER 9 TEST       CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-9)   10. Conic Sections and Analytic Geometry 10.1 The Ellipse 10.2 The Hyperbola 10.3 The Parabola       Mid-Chapter Check Point 10.4 Rotation of Axes 10.5 Parametric Equations 10.6 Conic Sections in Polar Coordinates       SUMMARY, REVIEW, AND TEST       REVIEW EXERCISES       CHAPTER 10 TEST       CUMULATIVE REVIEW EXERCISES  (CHAPTERS 1-10)   11. Sequences, Induction, and Probability 11.1 Sequences and Summation Notation 11.2 Arithmetic Sequences 11.3 Geometric Sequences and Series       Mid-Chapter Check Point 11.4 Mathematical Induction 11.5 The Binomial Theorem 11.6 Counting Principles, Permutations, and Combinations 11.7 Probability       SUMMARY, REVIEW, AND TEST       REVIEW EXERCISES       CHAPTER 11 TEST       CUMULATIVE REVIEW EXERCISES  (CHAPTERS 1-11)   Appendix: Where Did That Come From? Selected Proofs   Answers to Selected Exercises Subject Index Photo Credits

About the Author :
Bob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob is most energized by teaching mathematics and has taught a variety of mathematics courses at Miami-Dade College for nearly 30 years. He has received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College, and was among the first group of recipients at Miami-Dade College for an endowed chair based on excellence in the classroom. Bob has written Intermediate Algebra for College Students, Introductory Algebra for College Students, Essentials of Intermediate Algebra for College Students, Introductory and Intermediate Algebra for College Students, Essentials of Introductory and Intermediate Algebra for College Students, Algebra for College Students, Thinking Mathematically, College Algebra, Algebra and Trigonometry, and Precalculus, all published by Pearson Prentice Hall.


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Product Details
  • ISBN-13: 9780321588708
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Height: 276 mm
  • No of Pages: 1216
  • Weight: 2529 gr
  • ISBN-10: 0321588703
  • Publisher Date: 01 Jun 2009
  • Binding: Hardback
  • Language: English
  • Sub Title: An Early Functions Approach
  • Width: 216 mm


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