Precalculus by J. S. Ratti
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Precalculus
Summary
Ratti and McWaters write at a level that professors want and in a way that will engage students. Included are relevant and interesting applications; clear, helpful examples; and lots and lots of exercises--all the tools that you and your students need to succeed.
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Precalculus Summary
About J. S. Ratti
J.S.Ratti Dr. 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 McWatersDr. McWaters is currently the chair of the Mathematics Department at the University of South Florida, a position he has held for the last eight 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.
Table of Contents
P Basic Concepts of Algebra
P.1 The Real Numbers and Their Properties
P.2 Integer Exponents and Scientific Notation
P.3 Polynomials
P.4 Factoring Polynomials
P.5 Rational Expressions
P.6 Rational Exponents and Radicals
P.7 Topics in Geometry
Chapter P Summary
Chapter P Review Exercises
Chapter P Practice Test A
Chapter P Practice Test B
1 Equations and Inequalities
1.1 Linear Equations in One Variable
1.2 Applications of Linear Equations
1.3 Complex Numbers
1.4 Quadratic Equations
1.5 Solving Other Types of Equations
1.6 Linear Inequalities
1.7 Polynomial and Rational Inequalities
1.8 Equations and Inequalities Involving Absolute Value
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Practice Test A
Chapter 1 Practice Test B
2 Graphs and Functions
2.1 The Coordinate Plane
2.2 Graphs of Equations
2.3 Lines
2.4 Relations and Functions
2.5 A Library of Functions
2.6 Transformations of Functions
2.7 Combining Functions; Composite Functions
2.8 Inverse Functions
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Practice Test A
Chapter 2 Practice Test B
Cumulative Review Chapters P-2
3 Polynomial and Rational Functions
3.1 Quadratic Functions
3.2 Polynomial Functions
3.3 Dividing Polynomials and Rational Zeros Test
3.4 Zeros of a Polynomial Function
3.5 Rational Functions
3.6 Variation
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Practice Test A
Chapter 3 Practice Test B
Cumulative Review Chapters 1-3
4 Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 The Natural Exponential Function
4.3 Logarithmic Functions
4.4 Rules of Logarithms
4.5 Exponential and Logarithmic Equations
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Practice Test A
Chapter 4 Practice Test B
Cumulative Review Chapters 1-4
5 Trigonometric Functions
5.1 Angles and Their Measure
5.2 Right Triangle Trigonometry
5.3 Trigonometric Functions of Any Angle
5.4 Graphs of the Sine and Cosine Functions
5.5 Graphs of the Other Trigonometric Functions
5.6 Inverse Trigonometric Functions
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Practice Test A
Chapter 5 Practice Test B
Cumulative Review Chapters 1-5
6 Analytic Trigonometry
6.1 Trigonometric Identities and Equations
6.2 Verifying Trigonometric Equations
6.3 Trigonometric Equations
6.4 Double- Angle and Half-Angle Formulas
6.5 Product-to-Sum and Sum-to-Product Formulas
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Practice Test A
Chapter 6 Practice Test B
Cumulative Review Chapters 1-6
7 Applications of Trigonometric Functions
7.1 The Law of Sines
7.2 The Law of Cosines
7.3 Vectors
7.4 Polar Coordinates
7.5 Polar Form of Complex Numbers: DeMoivre's Theorem
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Practice Test A
Chapter 7 Practice Test B
Cumulative Review 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 Fraction Decomposition
8.4 Systems of Linear Inequalities; Linear Programming
8.5 Nonlinear Systems of Equations and Inequalities
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Practice Test A
Chapter 8 Practice Test B
Cumulative Review Chapters 1-8
9 Matrices and Determinants
9.1 Matrices and Systems of Equations
9.2 Matrix Algebra
9.3 The Matrix Inverse
9.4 Determinants and Cramer's Rule
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Practice Test A
Chapter 9 Practice Test B
Cumulative Review Chapters 1-9
10 The Conic Sections
10.1 Conic Sections: Overview
10.2 The Parabola
10.3 The Ellipse
10.4 The Hyperbola
Chapter 10 Summary
Chapter 10 Review Exercises
Chapter 10 Practice Test A
Chapter 10 Practice Test B
Cumulative Review Chapters 1-10
11 Further Topics in Algebra
11.1 Sequences and Series
11.2 Arithmetic Sequences; Partial Sums
11.3 Geometric Sequences and Series
11.4 Mathematical Induction
11.5 The Binomial Theorem
11.6 Counting Principles
11.7 Probability
Chapter 11 Summary
Chapter 11 Review Exercises
Chapter 11 Practice Test A
Chapter 11 Practice Test B
Cumulative Review Chapters 1-11
Answers to Selected Exercises
Credits
Index of Applications
Index
Additional information
CIN032129646XA
9780321296467
032129646X
Precalculus by J. S. Ratti
Used - Well Read
Hardback
Pearson Education (US)
20070813
1168
N/A
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