Precalculus / J.S. Ratti, Marcus McWaters.

Includes index.

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

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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