Description
Ratti and McWaters created their text from years of combined lecture notes and firsthand experience with students, resulting in a strong preparation for calculus. An emphasis on concept development, real-life applications, extensive exercises encourage deep understanding for students.
Precalculus: A Unit Circle Approach, Second Edition, offers the best of both worlds: a fast pace approach with rigorous topics and a friendly, teacherly tone. Using the text with MyMathLab, students now have access to even more tools to help them be successful including “just-in-time” review of prerequisite topics right when they need it.
Table of Contents
1. Graphs and Functions
1.1 Graphs of Equations
1.2 Lines
1.3 Functions
1.4 A Library of Functions
1.5 Transformations of Functions
1.6 Combining Functions; Composite Functions
1.7 Inverse Functions
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Practice Test A
Chapter 1 Practice Test B
2. Polynomial and Rational Functions
2.1 Quadratic Functions
2.2 Polynomial Functions
2.3 Dividing Polynomials and the Rational Zeros Test
2.4 Zeros of a Polynomial Function
2.5 Rational Functions
2.6 Variation
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Practice Test A
Chapter 2 Practice Test B
Cumulative Review Chapters 1–2
3. Exponential and Logarithmic Functions
3.1 Exponential Functions
3.2 Logarithmic Functions
3.3 Rules of Logarithms
3.4 Exponential and Logarithmic Equations and Inequalities
3.5 Logarithmic Scales
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Practice Test A
Chapter 3 Practice Test B
Cumulative Review Chapters 1–3
4. Trigonometric Functions
4.1 Angles and Their Measure
4.2 The Unit Circle; Trigonometric Functions of Real Numbers
4.3 Trigonometric Functions of Angles
4.4 Graphs of the Sine and Cosine Functions
4.5 Graphs of the Other Trigonometric Functions
4.6 Inverse Trigonometric Functions
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Practice Test A
Chapter 4 Practice Test B
Cumulative Review Chapters 1–4
5. Analytic Trigonometry
5.1 Trigonometric Identities and Equations
5.2 Trigonometric Equations
5.3 Sum and Difference Formulas
5.4 Double-Angle and Half-Angle Formulas
5.5 Product-to-Sum and Sum-to-Product Formulas
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Practice Test A
Chapter 5 Practice Test B
Cumulative Review Chapters 1–5
6. Applications of Trigonometric Functions
6.1 Right-Triangle Trigonometry
6.2 The Law of Sines
6.3 The Law of Cosines
6.4 Vectors
6.5 The Dot Product
6.6 Polar Coordinates
6.7 Polar Form of Complex Numbers; DeMoivre's Theorem
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Practice Test A
Chapter 6 Practice Test B
Cumulative Review Chapters 1–6
7. Systems of Equations and Inequalities
7.1 Systems of Equations in Two Variables
7.2 Systems of Linear Equations in Three Variables
7.3 Matrices and Systems of Equations
7.4 Determinants and Cramer's Rule
7.5 Partial–Fraction Decomposition
7.6 Matrix Algebra
7.7 The Matrix Inverse
7.8 Systems of Inequalities
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Practice Test A
Chapter 7 Practice Test B
Cumulative Review Chapters 1–7
8. Analytic Geometry
8.1 Conic Sections: Overview
8.2 The Parabola
8.3 The Ellipse
8.4 The Hyperbola
8.5 Rotation of Axes
8.6 Polar Equations of Conics
8.7 Parametric Equations
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Practice Test A
Chapter 8 Practice Test B
Cumulative Review Chapters 1–8
9. Further Topics in Algebra
9.1 Sequences and Series
9.2 Arithmetic Sequences; Partial Sums
9.3 Geometric Sequences and Series
9.4 Mathematical Induction
9.5 The Binomial Theorem
9.6 Counting Principles
9.7 Probability
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Practice Test A
Chapter 9 Practice Test B
Cumulative Review Chapters 1–9
Appendix Review
A1. The Real Numbers; Integer Exponents
A2. Polynomials
A3. Rational Expressions
A4. Radicals and Rational Exponents
A5. Topics in Geometry
A6. Equations
A7. Inequalities
A8. Complex Numbers
Answers to Selected Exercises
Credits
Index of Applications
Index
Purchase Info
ISBN-10: 0-321-82539-X
ISBN-13: 978-0-321-82539-1
Format: Cloth
$208.67 | Free Ground Shipping.
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