دانلود کتاب Precalculus with Limits

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Cover Contents Preface Instructor Resources Student Resources Acknowledgments Ch 1: Functions and Their Graphs 1.1 Rectangular Coordinates 1.2 Graphs of Equations 1.3 Linear Equations in Two Variables 1.4 Functions 1.5 Analyzing Graphs of Functions 1.6 A Library of Parent Functions 1.7 Transformations of Functions 1.8 Combinations of Functions: Composite Functions 1.9 Inverse Functions 1.10 Mathematical Modeling and Variation Chapter Summary Review Exercises Chapter Test Proofs in Mathematics P.S. Problem Solving Ch 2: Polynomial and Rational Functions 2.1 Quadratic Functions and Models 2.2 Polynomial Functions of Higher Degree 2.3 Polynomial and Synthetic Division 2.4 Complex Numbers 2.5 Zeros of Polynomial Functions 2.6 Rational Functions 2.7 Nonlinear Inequalities Chapter Summary Review Exercises Chapter Test Proofs in Mathematics P.S. Problem Solving Ch 3: Exponential and Logarithmic Functions 3.1 Exponential Functions and Their Graphs 3.2 Logarithmic Functions and Their Graphs 3.3 Properties of Logarithms 3.4 Exponential and Logarithmic Equations 3.5 Exponential and Logarithmic Models Chapter Summary Review Exercises Chapter Test Cumulative Test for Chapters 1-3 Proofs in Mathematics P.S. Problem Solving Ch 4: Trigonometry 4.1 Radian and Degree Measure 4.2 Trigonometric Functions: The Unit Circle 4.3 Right Triangle Trigonometry 4.4 Trigonometric Functions of Any Angle 4.5 Graphs of Sine and Cosine Functions 4.6 Graphs of Other Trigonometric Functions 4.7 Inverse Trigonometric Functions 4.8 Applications and Models Chapter Summary Review Exercises Chapter Test Proofs in Mathematics P.S. Problem Solving Ch 5: Analytic Trigonometry 5.1 Using Fundamental Identities 5.2 Verifying Trigonometric Identities 5.3 Solving Trigonometric Equations 5.4 Sum and Difference Formulas 5.5 Multiple-Angle and Product-to-Sum Formulas Chapter Summary Review Exercises Chapter Test Proofs in Mathematics P.S. Problem Solving Ch 6: Additional Topics in Trigonometry 6.1 Law of Sines 6.2 Law of Cosines 6.3 Vectors in the Plane 6.4 Vectors and Dot Products 6.5 The Complex Plane Chapter Summary Review Exercises Chapter Test Cumulative Test for Chapters 4-6 Proofs in Mathematics P.S. Problem Solving Ch 7: Systems of Equations and Inequalities 7.1 Linear and Nonlinear Systems of Equations 7.2 Two-Variable Linear Systems 7.3 Multivariable Linear Systems 7.4 Partial Fractions 7.5 Systems of Inequalities 7.6 Linear Programming Chapter Summary Review Exercises Chapter Test Proofs in Mathematics P.S. Problem Solving Ch 8: Matrices and Determinants 8.1 Matrices and Systems of Equations 8.2 Operations with Matrices 8.3 The Inverse of a Square Matrix 8.4 The Determinant of a Square Matrix 8.5 Applications of Matrices and Determinants Chapter Summary Review Exercises Chapter Test Proofs in Mathematics P.S. Problem Solving Ch 9: Sequences, Series, and Probability 9.1 Sequences and Series 9.2 Arithmetic Sequences and 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 Summary Review Exercises Chapter Test Cumulative Test for Chapters 7-9 Proofs in Mathematics P.S. Problem Solving Ch 10: Topics in Analytic Geometry 10.1 Lines 10.2 Introduction to Conics: Parabolas 10.3 Ellipses 10.4 Hyperbolas 10.5 Rotation of Conics 10.6 Parametric Equations 10.7 Polar Coordinates 10.8 Graphs of Polar Equations 10.9 Polar Equations of Conics Chapter Summary Review Exercises Chapter Test Proofs in Mathematics P.S. Problem Solving Ch 11: Analytic Geometry in Three Dimensions 11.1 The Three-Dimensional Coordinate System 11.2 Vectors in Space 11.3 The Cross Product of Two Vectors 11.4 Lines and Planes in Space Chapter Summary Review Exercises Chapter Test Proofs in Mathematics P.S. Problem Solving Ch 12: Limits and an Introduction to Calculus 12.1 Introduction to Limits 12.2 Techniques for Evaluating Limits 12.3 The Tangent Line Problem 12.4 Limits at Infinity and Limits of Sequences 12.5 The Area Problem Chapter Summary Review Exercises Chapter Test Cumulative Test for Chapters 10-12 Proofs in Mathematics P.S. Problem Solving Ch 13: Concepts in Statistics 13.1 Representing Data 13.2 Analyzing Data 13.3 Modeling Data Chapter Summary Review Exercises Chapter Test Proofs in Mathematics P.S. Problem Solving Appendix A: Review of Fundamental Concepts of Algebra Answers to Odd-Numbered Exercises and Tests Index