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Digital file of Graphical Approach to Precalculus with Limits: A Unit Circle Approach, A, 5th Edition for sale
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Chapter 1 Linear Functions, Equations, and Inequalities 1.1 Real Numbers and the Rectangular Coordinate System 1.2 Introduction to Relations and Functions Reviewing Basic Concepts 1.3 Linear Functions 1.4 Equations of Lines and Linear Models Reviewing Basic Concepts 1.5 Linear Equations and Inequalities 1.6 Applications of Linear Functions Reviewing Basic Concepts Summary Review Exercises Test Chapter 2 Analysis of Graphs of Functions 2.1 Graphs of Basic Functions and Relations; Symmetry 2.2 Vertical and Horizontal Shifts of Graphs 2.3 Stretching, Shrinking, and Reflecting Graphs Reviewing Basic Concepts 2.4 Absolute Value Functions 2.5 Piecewise-Defined Functions 2.6 Operations and Composition Reviewing Basic Concepts Summary Review Exercises Test Chapter 3 Polynomial Functions 3.1 Complex Numbers 3.2 Quadratic Functions and Graphs 3.3 Quadratic Equations and Inequalities Reviewing Basic Concepts 3.4 Further Applications of Quadratic Functions and Models 3.5 Higher-Degree Polynomial Functions and Graphs Reviewing Basic Concepts 3.6 Topics in the Theory of Polynomial Functions (I) 3.7 Topics in the Theory of Polynomial Functions (II) 3.8 Polynomial Equations and Inequalities; Further Applications and Models Reviewing Basic Concepts Summary Review Exercises Test Chapter 4 Rational, Power, and Root Functions 4.1 Rational Functions and Graphs 4.2 More on Rational Functions and Graphs 4.3 Rational Equations, Inequalities, Models, and Applications Reviewing Basic Concepts 4.4 Functions Defined by Powers and Roots 4.5 Equations, Inequalities, and Applications Involving Root Functions Reviewing Basic Concepts Summary Review Exercises Test Chapter 5 Inverse, Exponential, and Logarithmic Functions 5.1 Inverse Functions 5.2 Exponential Functions 5.3 Logarithms and Their Properties Reviewing Basic Concepts 5.4 Logarithmic Functions 5.5 Exponential and Logarithmic Equations and Inequalities Reviewing Basic Concepts 5.6 Further Applications and Modeling with Exponential and Logarithmic Functions Summary Review Exercises Test Chapter 6 Analytic Geometry 6.1 Circles and Parabolas 6.2 Ellipses and Hyperbolas Reviewing Basic Concepts 6.3 Summary of Conic Sections 6.4 Parametric Equations Reviewing Basic Concepts Summary Review Exercises Test Chapter 7 Systems of Equations and Inequalities; Matrices 7.1 Systems of Equations 7.2 Solution of Linear Systems in Three Variables 7.3 Solution of Linear Systems by Row Transformations Reviewing Basic Concepts 7.4 Matrix Properties and Operations 7.5 Determinants and Cramer’s Rule 7.6 Solution of Linear Systems by Matrix Inverses Reviewing Basic Concepts 7.7 Systems of Inequalities and Linear Programming 7.8 Partial Fractions Reviewing Basic Concepts Summary Review Exercises Test Chapter 8 The Unit Circle and the Functions of Trigonometry 8.1 Angles, Arcs, and Their Measures 8.2 The Unit Circle and Its Functions Reviewing Basic Concepts 8.3 Graphs of the Sine and Cosine Functions Periodic Functions 8.4 Graphs of the Other Circular Functions 8.5 Functions of Angles and Fundamental Identities 8.6 Evaluating Trigonometric Functions Definitions of the Trigonometric Functions 8.7 Applications of Right Triangles 8.8 Harmonic Motion Reviewing Basic Concepts Summary Review Exercises Test Chapter 9 Trigonometric Identities and Equations 9.1 Trigonometric Identities 9.2 Sum and Difference Identities Reviewing Basic Concepts 9.3 Further Identities 9.4 The Inverse Circular Functions Reviewing Basic Concepts 9.5 Trigonometric Equations and Inequalities (I) 9.6 Trigonometric Equations and Inequalities (II) Summary Review Exercises Test Chapter 10 Applications of Trigonometry and Vectors 10.1 The Law of Sines 10.2 The Law of Cosines and Area Formulas 10.3 Vectors and Their Applications Reviewing Basic Concepts 10.4 Trigonometric (Polar) Form of Complex Numbers 10.5 Powers and Roots of Complex Numbers Reviewing Basic Concepts 10.6 Polar Equations and Graphs 10.7 More Parametric Equations Reviewing Basic Concepts Summary Review Exercises Test Chapter 11 Further Topics in Algebra 11.1 Sequences and Series 11.2 Arithmetic Sequences and Series 11.3 Geometric Sequences and Series 11.4 The Binomial Theorem 11.5 Mathematical Induction 11.6 Counting Theory 11.7 Probability Chapter 12 Limits, Derivatives, and Definite Integrals 12.1 An Introduction to Limits 12.2 Techniques for Calculating Limits 12.3 One-Sided Limits; Limits Involving Infinity 12.4 Tangent Lines and Derivatives 12.5 Area and the Definite Integral Chapter R Reference: Basic Algebraic Concepts R.1 Review of Exponents and Polynomials R.2 Review of Factoring R.3 Review of Rational Expressions R.4 Review of Negative and Rational Exponents R.5 Review of Radicals Chapter R Test Appendix Geometry Formulas Answers to Selected Exercises Index Table of Contents
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