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Precalculus J. S. Ratti

Precalculus By J. S. Ratti

Precalculus by J. S. Ratti


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Precalculus Summary

Precalculus: A Right Triangle Approach by J. S. Ratti

Ratti and McWaters have combined years of lecture notes and classroom experience to bring you a series that connects concepts and maintains course rigor. An extensive array of exercises and learning aids further complements your instruction, which ultimately helps to improve student mathematical understanding and results in the course. KEY TOPICS: Basic Concepts of Algebra; Equations and Inequalities; Graphs and Functions; Polynomial and Rational Functions; Exponential and Logarithmic Functions; Trigonometric Functions; Trigonometric Identities and Equations; Applications of Trigonometric Functions; Systems of Equations and Inequalities; Matrices and Determinants; Conic Sections; Further Topics in Algebra MARKET: For all readers interested in precalculus.

About J. S. Ratti

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 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.

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 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 Quadratic Equations 1.3 Complex Numbers: Quadratic Equations with Complex Solutions 1.4 Solving Other Types of Equations 1.5 Inequalities 1.6 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 Functions 2.5 Properties of Functions 2.6 A Library of Functions 2.7 Transformations of Functions 2.8 Combining Functions; Composite Functions 2.9 Inverse Functions Chapter 2 Summary Chapter 2 Review Exercises Chapter 2 Practice Test A Chapter 2 Practice Test B Cumulative Review Exercises- Chapters P-2 3. Polynomial and Rational Functions 3.1 Quadratic Functions 3.2 Polynomial Functions 3.3 Dividing Polynomials 3.4 The Real Zeros of a Polynomial Function 3.5 The Complex Zeros of a Polynomial Function 3.6 Rational Functions 3.7 Variation Chapter 3 Summary Chapter 3 Review Exercises Chapter 3 Practice Test A Chapter 3 Practice Test B Cumulative Review Exercises- Chapters P-3 4. Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Logarithmic Functions 4.3 Rules of Logarithms 4.4 Exponential and Logarithmic Equations and Inequalities 4.5 Logarithmic Scales Chapter 4 Summary Chapter 4 Review Exercises Chapter 4 Practice Test A Chapter 4 Practice Test B Cumulative Review Exercises- Chapters P-4 5. Trigonometric Functions 5.1 Angles and Their Measure 5.2 Right-Triangle Trigonometry 5.3 Trigonometric Functions of Any Angle; The Unit Circle 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 Exercises- Chapters P-5 6. Trigonometric Identities and Equations 6.1 Verifying Identities 6.2 Sum and Difference Formulas 6.3 Double-Angle and Half-Angle Formulas 6.4 Product-to-Sum and Sum-to-Product Formulas 6.5 Trigonometric Equations I 6.6 Trigonometric Equations II Chapter 6 Summary Chapter 6 Review Exercises Chapter 6 Practice Test A Chapter 6 Practice Test B Cumulative Review Exercises- Chapters P-6 7. Applications of Trigonometric Functions 7.1 The Law of Sines 7.2 The Law of Cosines 7.3 Areas of Polygons Using Trigonometry 7.4 Vectors 7.5 The Dot Product 7.6 Polar Coordinates 7.7 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 Exercises- Chapters P-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 Nonlinear Equations 8.5 Systems of Inequalities 8.6 Linear Programming Chapter 8 Summary Chapter 8 Review Exercises Chapter 8 Practice Test A Chapter 8 Practice Test B Cumulative Review Exercises- Chapters P-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 Exercises- Chapters P-9 10. 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 Exercises- Chapters P-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 Exercises- Chapters P-11

Additional information

CIN0321912764G
9780321912763
0321912764
Precalculus: A Right Triangle Approach by J. S. Ratti
Used - Good
Hardback
Pearson Education (US)
2014-01-02
1104
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

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