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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 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 2.5 Piecewise-Defined Functions 2.6 Operations and Composition 3. Polynomial Functions 3.1 Complex Numbers 3.2 Quadratic Functions and Graphs 3.3 Quadratic Equations and Inequalities 3.4 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 4. Rational, Power, and Root Functions 4.1 Rational Functions and Graphs I 4.2 Rational Functions and Graphs II 4.3 Rational Equations, Inequalities, Models, and Applications 4.4 Functions Defined by Powers and Roots 4.5 Equations, Inequalities, and Applications Involving Root Functions 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 6. Systems and Matrices 6.1 Systems of Equations 6.2 Solution of Linear Systems in Three Variables 6.3 Solution of Linear Systems by Row Transformations 6.4 Matrix Properties and Operations 6.5 Determinants and Cramer's Rule 6.6 Solution of Linear Systems by Matrix Inverses 6.7 Systems of Inequalities and Linear Programming 6.8 Partial Fractions 7. Analytic Geometry and Nonlinear Systems 7.1 Circles and Parabolas 7.2 Ellipses and Hyperbolas 7.3 The Conic Sections and Nonlinear Systems 7.4 Parametric Equations 8. Trigonometric Functions and Applications 8.1 Angles and Their Measures 8.2 Trigonometric Functions and Fundamental Identities 8.3 Right Triangles and Evaluating Trigonometric Functions 8.4 Applications of Right Triangles 8.5 The Circular Functions 8.6 Graphs of the Sine and Cosine Functions 8.7 Graphs of the Other Circular Functions 8.8 Harmonic Motion 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) 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 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 11. Further Topics in Algebra 11.1 Sequences and Series 11.2 Arithmetic Sequences and Series 11.3 Geometric Sequences and Series 11.4 Counting Theory 11.5 The Binomial Theorem 11.6 Mathematical Induction 11.7 Probability 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 Table of Contents
Get Graphical Approach to Algebra and Trigonometry, A, Plus MyLab Math with eText Package, 6th 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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