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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 1.3 Linear Functions 1.4 Equations of Lines and Linear Models 1.5 Linear Equations and Inequalities 1.6 Applications of Linear Functions 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 2.4 Absolute Value Functions: Graphs, Equations, Inequalities, and Applications 2.5 Piecewise-Defined Functions 2.6 Operations and Composition Chapter 3 Polynomial Functions 3.1 Complex Numbers 3.2 Quadratic Functions and Graphs 3.3 Quadratic Equations and Inequalities 3.4 Further Applications of Quadratic Functions and Models 3.5 Higher-Degree Polynomial Functions and Graphs 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 Chapter 4 Rational, Power, and Root Functions 4.1 Rational Functions and Graphs 4.2 More on Graphs of Rational Functions 4.3 Rational Equations, Inequalities, Applications, and Models 4.4 Functions Defined by Powers and Roots 4.5 Equations, Inequalities, and Applications Involving Root Functions Chapter 5 Inverse, Exponential, and Logarithmic Functions 5.1 Inverse Functions 5.2 Exponential Functions 5.3 Logarithms and Their Properties 5.4 Logarithmic Functions 5.5 Exponential and Logarithmic Equations and Inequalities 5.6 Further Applications and Modeling with Exponential and Logarithmic Functions Chapter 6 Analytic Geometry 6.1 Circles and Parabolas 6.2 Ellipses and Hyperbolas 6.3 Summary of Conic Sections 6.4 Parametric Equations 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 7.4 Matrix Properties and Operations 7.5 Determinants and Cramer’s Rule 7.6 Solution of Linear Systems by Matrix Inverses 7.7 Systems of Inequalities and Linear Programming 7.8 Partial Fractions Chapter 8 Trigonometric Functions and Applications 8.1 Angles and Arcs 8.2 The Unit Circle 8.3 Graphs of the Sine and Cosine Functions 8.4 Graphs of the Other Circular Functions 8.5 Functions of Angles and Fundamental Identities 8.6 Evaluating Trigonometry Functions 8.7 Applications of Right Triangles 8.8 Harmonic Motion Chapter 9 Trigonometric Identities and Equations 9.1 Trigonometric Identities 9.2 Sum and Difference Identities 9.3 Further Identities 9.4 The Inverse Circular Functions 9.5 Trigonometric Equations and Inequalities (I) 9.6 Trigonometric Equations and Inequalities (II) Chapter 10 Applications of Trigonometry; Vectors 10.1 The Law of Sines 10.2 The Law of Cosines and Area Formulas 10.3 Vectors and Their Applications 10.4 Trigonometric (Polar) Form of Complex Numbers 10.5 Powers and Roots of Complex Numbers 10.6 Polar Equations and Graphs 10.7 More Parametric Equations Chapter 11 Further Topics in Algebra 11.1 Sequences and Series 11.2 Arithmetric 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 Appendix A Geometry Formulas Appendix B Deciding Which Model Best Fits a Set of Data Table of Contents
Get Graphical Approach to Precalculus with Limits, A: A Unit Circle Approach, 4th Edition by John Hornsby, University of New Orleans Margaret L. Lial, American River College Gary K. Rockswold, Minnesota State University, Mankato
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