Precalculus
A Unit Circle Approach
Published on 11. January 2010
Book
Hardback
960 pages
978-0-321-53709-6 (ISBN)
Description
Ratti and McWaters have combined years of lecture notes and firsthand experience with students to bring you a text series that teaches at the same level and in the style that you do. An extensive array of exercises and learning aids further complements your instruction in class and during office hours.
In addition to all of the standard features of the other books in the Ratti/McWaters series, this edition offers a faster pace and includes more rigorous topics ideal for students going into calculus.
In addition to all of the standard features of the other books in the Ratti/McWaters series, this edition offers a faster pace and includes more rigorous topics ideal for students going into calculus.
More details
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
College/higher education
Dimensions
Height: 276 mm
Width: 216 mm
Weight
2064 gr
ISBN-13
978-0-321-53709-6 (9780321537096)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
Book
01/2013
2nd Edition
Pearson
€200.54
Article is exhausted; no reprint
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 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 The Natural Exponential Function
3.3 Logarithmic Functions
3.4 Rules of Logarithms
3.5 Exponential and Logarithmic Equations
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 an Angle
4.3 Some Properties of the Trigonometric Functions
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 Linear Equations in Two Variables
7.2 Systems of Linear Equations in Three Variables
7.3 Partial-Fraction Decomposition
7.4 Systems of Linear Inequalities; Linear Programming
7.5 Nonlinear Systems of Equations and Inequalities
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Practice Test A
Chapter 7 Practice Test B
Cumulative Review Chapters 1-7
8. Matrices and Determinants
8.1 Matrices and Systems of Equations
8.2 Matrix Algebra
8.3 The Matrix Inverse
8.4 Determinants and Cramer's Rule
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Practice Test A
Chapter 8 Practice Test B
Cumulative Review Chapters 1-8
9. Analytic Geometry
9.1 Conic Sections: Overview
9.2 The Parabola
9.3 The Ellipse
9.4 The Hyperbola
9.5 Rotation of Axes
9.6 Polar Equations of Conics
9.7 Parametric Equations
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Practice Test A
Chapter 9 Practice Test B
Cumulative Review Chapters 1-9
10. Further Topics in Algebra
10.1 Sequences and Series
10.2 Arithmetic Sequences; Partial Sums
10.3 Geometric Sequences and Series
10.4 Mathematical Induction
10.5 The Binomial Theorem
10.6 Counting Principles
10.7 Probability
Chapter 10 Summary
Chapter 10 Review Exercises
Chapter 10 Practice Test B
Cumulative Review Chapters 1-10
Appendix Review
A1. The Real Numbers; Integer Exponents
A2. Polynomials
A3. Rational Expressions
A4. Rational Exponents and Radicals
A5. Topics in Geometry
A6. Linear equations; Applications
A7. Complex Numbers
A8. Quadratic Equations
A9. Solving Other Types of Equations
A10. Linear Inequalities
A11. Polynomial and Rational Inequalities
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 The Natural Exponential Function
3.3 Logarithmic Functions
3.4 Rules of Logarithms
3.5 Exponential and Logarithmic Equations
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 an Angle
4.3 Some Properties of the Trigonometric Functions
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 Linear Equations in Two Variables
7.2 Systems of Linear Equations in Three Variables
7.3 Partial-Fraction Decomposition
7.4 Systems of Linear Inequalities; Linear Programming
7.5 Nonlinear Systems of Equations and Inequalities
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Practice Test A
Chapter 7 Practice Test B
Cumulative Review Chapters 1-7
8. Matrices and Determinants
8.1 Matrices and Systems of Equations
8.2 Matrix Algebra
8.3 The Matrix Inverse
8.4 Determinants and Cramer's Rule
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Practice Test A
Chapter 8 Practice Test B
Cumulative Review Chapters 1-8
9. Analytic Geometry
9.1 Conic Sections: Overview
9.2 The Parabola
9.3 The Ellipse
9.4 The Hyperbola
9.5 Rotation of Axes
9.6 Polar Equations of Conics
9.7 Parametric Equations
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Practice Test A
Chapter 9 Practice Test B
Cumulative Review Chapters 1-9
10. Further Topics in Algebra
10.1 Sequences and Series
10.2 Arithmetic Sequences; Partial Sums
10.3 Geometric Sequences and Series
10.4 Mathematical Induction
10.5 The Binomial Theorem
10.6 Counting Principles
10.7 Probability
Chapter 10 Summary
Chapter 10 Review Exercises
Chapter 10 Practice Test B
Cumulative Review Chapters 1-10
Appendix Review
A1. The Real Numbers; Integer Exponents
A2. Polynomials
A3. Rational Expressions
A4. Rational Exponents and Radicals
A5. Topics in Geometry
A6. Linear equations; Applications
A7. Complex Numbers
A8. Quadratic Equations
A9. Solving Other Types of Equations
A10. Linear Inequalities
A11. Polynomial and Rational Inequalities