Description
Book SynopsisAbout our author
Robert F. Blitzer is a native of Manhattan. He received a Bachelor of Arts degree with dual majors in mathematics and psychology (and a minor in English literature) from the City College of New York. His unique 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's love for teaching mathematics was nourished for nearly 30 years at Miami Dade College, where he received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College and an endowed chair based on excellence in the classroom. In addition to Precalculus, Bob has written textbooks covering developmental mathematics, introductory algebra, intermediate algebra, trigonometry, college algebra, algebra & trigonometry, and liberal arts mathematics, all published by Pearson. When not secluded i
Table of Contents
P. Prerequisites: Fundamental Concepts of Algebra
- P.1 Algebraic Expressions, Mathematical Models, and Real Numbers
- P.2 Exponents and Scientific Notation
- P.3 Radicals and Rational Exponents
- P.4 Polynomials
- P.5 Factoring Polynomials
- P.6 Rational Expressions
- P.7 Equations
- P.8 Modeling with Equations
- P.9 Linear Inequalities and Absolute Value Inequalities
- 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
- 1.6 Transformations of Functions
- 1.7 Combinations of Functions; Composite Functions
- 1.8 Inverse Functions
- 1.9 Distance and Midpoint Formulas; Circles
- 1.10 Modeling with Functions
- Summary, Review, and Test
- Review Exercises
- Chapter 1 Test
2. Polynomial and Rational Functions
- 2.1 Complex Numbers
- 2.2 Quadratic Functions
- 2.3 Polynomial Functions and Their Graphs
- 2.4 Dividing Polynomials; Remainder and Factor Theorems
- 2.5 Zeros of Polynomial Functions
- 2.6 Rational Functions and Their Graphs
- 2.7 Polynomial and Rational Inequalities
- 2.8 Modeling Using Variation
- Summary, Review, and Test
- Review Exercises
- Chapter 2 Test
- Cumulative Review Exercises (Chapters P–2)
3. Exponential and Logarithmic Functions
- 3.1 Exponential Functions
- 3.2 Logarithmic Functions
- 3.3 Properties of Logarithms
- 3.4 Exponential and Logarithmic Equations
- 3.5 Exponential Growth and Decay; Modeling Data
- Summary, Review, and Test
- Review Exercises
- Chapter 3 Test
- Cumulative Review Exercises (Chapters P–3)
4. Trigonometric Functions
- 4.1 Angles and Radian Measure
- 4.2 Trigonometric Functions: The Unit Circle
- 4.3 Right Triangle Trigonometry
- 4.4 Trigonometric Functions of Any Angle
- 4.5 Graphs of Sine and Cosine Functions
- 4.6 Graphs of Other Trigonometric Functions
- 4.7 Inverse Trigonometric Functions
- 4.8 Applications of Trigonometric Functions
- Summary, Review, and Test
- Review Exercises
- Chapter 4 Test
- Cumulative Review Exercises (Chapters P–4)
5. Analytic Trigonometry
- 5.1 Verifying Trigonometric Identities
- 5.2 Sum and Difference Formulas
- 5.3 Double-Angle, Power-Reducing, and Half-Angle Formulas
- 5.4 Product-to-Sum and Sum-to-Product Formulas
- 5.5 Trigonometric Equations
- Summary, Review, and Test
- Review Exercises
- Chapter 5 Test
- Cumulative Review Exercises (Chapters P–5)
6. Additional Topics in Trigonometry
- 6.1 The Law of Sines
- 6.2 The Law of Cosines
- 6.3 Polar Coordinates
- 6.4 Graphs of Polar Equations
- 6.5 Complex Numbers in Polar Form; DeMoivre's Theorem
- 6.6 Vectors
- 6.7 The Dot Product
- Summary, Review, and Test
- Review Exercises
- Chapter 6 Test
- Cumulative Review Exercises (Chapters P–6)
7. Systems of Equations and Inequalities
- 7.1 Systems of Linear Equations in Two Variables
- 7.2 Systems of Linear Equations in Three Variables
- 7.3 Partial Fractions
- 7.4 Systems of Nonlinear Equations in Two Variables
- 7.5 Systems of Inequalities
- 7.6 Linear Programming
- Summary, Review, and Test
- Review Exercises
- Chapter 7 Test
- Cumulative Review Exercises (Chapters P–7)
8. Matrices and Determinants
- 8.1 Matrix Solutions to Linear Systems
- 8.2 Inconsistent and Dependent Systems and Their Applications
- 8.3 Matrix Operations and Their Applications
- 8.4 Multiplicative Inverses of Matrices and Matrix Equations
- 8.5 Determinants and Cramer's Rule
- Summary, Review, and Test
- Review Exercises
- Chapter 8 Test
- Cumulative Review Exercises (Chapters P–8)
9. Conic Sections and Analytic Geometry
- 9.1 The Ellipse
- 9.2 The Hyperbola
- 9.3 The Parabola
- 9.4 Rotation of Axes
- 9.5 Parametric Equations
- 9.6 Conic Sections in Polar Coordinates
- Summary, Review, and Test
- Review Exercises
- Chapter 9 Test
- Cumulative Review Exercises (Chapters P–9)
10. Sequences, Induction, and Probability
- 10.1 Sequences and Summation Notation
- 10.2 Arithmetic Sequences
- 10.3 Geometric Sequences and Series
- 10.4 Mathematical Induction
- 10.5 The Binomial Theorem
- 10.6 Counting Principles, Permutations, and Combinations
- 10.7 Probability
- Summary, Review, and Test
- Review Exercises
- Chapter 10 Test
- Cumulative Review Exercises (Chapters P–10)
11. Introduction to Calculus
- 11.1 Finding Limits Using Tables and Graphs
- 11.2 Finding Limits Using Properties of Limits
- 11.3 Limits and Continuity
- 11.4 Introduction to Derivatives
- Summary, Review, and Test
- Review Exercises
- Chapter 11 Test
- Cumulative Review Exercises (Chapters P–11)
- Appendix A: Where Did That Come From? Selected Proofs
- Appendix B: The Transition from Precalculus to Calculus
- Answers to Selected Exercises
- Subject Index
- Credits
