Precalculus
A Unit Circle Approach
2nd Edition
Published on 30. January 2013
Book
Hardback
960 pages
978-0-321-82539-1 (ISBN)
Description
Ratti and McWaters wrote this series with the primary goal of preparing students to be successful in calculus. Having taught both calculus and precalculus, the authors saw firsthand where students would struggle, where they needed help making connections, and what material they needed in order to succeed in calculus. Their experience in the classroom shows in each chapter, where they emphasize conceptual development, real-life applications, and extensive exercises to encourage a deeper understanding. Precalculus: A Unit Circle Approach, Second Edition, offers the best of both worlds: rigorous topics and a friendly, "teacherly" tone.
Note: This is the standalone book, if you want the book/access card please order the ISBN below:
0321900472 / 9780321900470 Precalculus: a Unit Circle Approach plus MyMathLab with Pearson eText -- Access Card Package
Package consists of
0321431308 / 9780321431301 MyMathLab/MyStatLab -- Glue-in Access Card
0321654064 / 9780321654069 MyMathLab Inside Star Sticker
032182539X / 9780321825391 Precalculus: A Unit Circle Approach
Note: This is the standalone book, if you want the book/access card please order the ISBN below:
0321900472 / 9780321900470 Precalculus: a Unit Circle Approach plus MyMathLab with Pearson eText -- Access Card Package
Package consists of
0321431308 / 9780321431301 MyMathLab/MyStatLab -- Glue-in Access Card
0321654064 / 9780321654069 MyMathLab Inside Star Sticker
032182539X / 9780321825391 Precalculus: A Unit Circle Approach
More details
Other editions
Previous edition
Book
01/2010
Pearson
€116.36
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Persons
J.S. Ratti has been teaching mathematics at all levels for over 35 years. He is currently a full professor of mathematics and director of the Center for Mathematical Services at the University of South Florida. Professor Ratti is the author of numerous research papers in analysis, graph theory, and probability. He has won several awards for excellence in undergraduate teaching at University of South Florida and is known as the coauthor of a successful finite mathematics textbook.
Marcus McWaters is currently the chair of the Mathematics Department at the University of South Florida, a position he has held for the last eleven years. Since receiving his PhD in mathematics from the University of Florida, he has taught all levels of undergraduate and graduate courses, with class sizes ranging from 3 to 250. As chair, he has worked intensively to structure a course delivery system for lower level courses that would improve the low retention rate these courses experience across the country. When not involved with mathematics or administrative activity, he enjoys playing racquetball, spending time with his two daughters, and traveling the world with his wife.
Marcus McWaters is currently the chair of the Mathematics Department at the University of South Florida, a position he has held for the last eleven years. Since receiving his PhD in mathematics from the University of Florida, he has taught all levels of undergraduate and graduate courses, with class sizes ranging from 3 to 250. As chair, he has worked intensively to structure a course delivery system for lower level courses that would improve the low retention rate these courses experience across the country. When not involved with mathematics or administrative activity, he enjoys playing racquetball, spending time with his two daughters, and traveling the world with his wife.
Content
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
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