Precalculus, 7th edition
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Overview
Precalculus by Lial, Hornsby, Schneider and Daniels channels the experience of master teachers to help you develop the conceptual understanding and analytical skills you need to succeed in mathematics. A systematic approach is used to present each topic and is designed to actively engage you in the learning process. Ample opportunities for review are interspersed within chapters and also found at the end of chapters. The 7th Edition offers a complete suite of materials that supports all classroom types and learners. An expanded Chapter R includes more basic concepts that often challenge students, including a new section on Fractions, Decimals, and Percents.
Published by Pearson (September 1st 2020)  Copyright © 2021
ISBN13: 9780136881100
Subject: Precalculus, College Algebra & Trigonometry
Category: Precalculus
Overview
R. Review of Basic Concepts
 R1 Fractions, Decimals, and Percents
 R2 Sets and Real Numbers
 R3 Real Number Operations and Properties
 R4 Integer and Rational Exponents
 R5 Polynomials
 R6 Factoring Polynomials
 R7 Rational Expressions
 R8 Radical Expressions
1. Equations and Inequalities
 11 Linear Equations
 12 Applications and Modeling with Linear Equations
 13 Complex Numbers
 14 Quadratic Equations
 15 Applications and Modeling with Quadratic Equations
 16 Other Types of Equations and Applications
 17 Inequalities
 18 Absolute Value Equations and Inequalities
2. Graphs and Functions
 21 Rectangular Coordinates and Graphs
 22 Circles
 23 Functions
 24 Linear Functions
 25 Equations of Lines and Linear Models
 26 Graphs of Basic Functions
 27 Graphing Techniques
 28 Function Operations and Composition
3. Polynomial and Rational Functions
 31 Quadratic Functions and Models
 32 Synthetic Division
 33 Zeros of Polynomial Functions
 34 Polynomial Functions: Graphs, Applications, and Models
 35 Rational Functions: Graphs, Applications, and Models
 36 Polynomial and Rational Inequalities
 37 Variation
4. Inverse, Exponential, and Logarithmic Functions
 41 Inverse Functions
 42 Exponential Functions
 43 Logarithmic Functions
 44 Evaluating Logarithms and the ChangeofBase Theorem
 45 Exponential and Logarithmic Equations
 46 Applications of Models of Exponential Growth and Decay
5. Trigonometric Functions
 51 Angles
 52 Trigonometric Functions
 53 Trigonometric Function Values and Angle Measures
 54 Solutions and Applications of Right Triangles
6. The Circular Functions and Their Graphs
 61 Radian Measure
 62 The Unit Circle and Circular Functions
 63 Graphs of the Sine and Cosine Functions
 64 Translations of the Graphs of the Sine and Cosine Functions
 65 Graphs of the Tangent and Cotangent Functions
 66 Graphs of the Secant and Cosecant Functions
 67 Harmonic Motion
7. Trigonometric Identities and Equations
 71 Fundamental Identities
 72 Verifying Trigonometric Identities
 73 Sum and Difference Identities
 74 DoubleAngle and HalfAngle Identities
 75 Inverse Circular Functions
 76 Trigonometric Equations
 77 Equations Involving Inverse Trigonometric Functions
8. Applications of Trigonometry
 81 The Law of Sines
 82 The Law of Cosines
 83 Geometrically Defined Vectors and Applications
 84 Algebraically Defined Vectors and the Dot Product
 85 Trigonometric (Polar) Form of Complex Numbers; Products and Quotients
 86 De Moivre's Theorem; Powers and Roots of Complex Numbers
 87 Polar Equations and Graphs
 88 Parametric Equations, Graphs, and Applications
9. Systems and Matrices
 91 Systems of Linear Equations
 92 Matrix Solution of Linear Systems
 93 Determinant Solution of Linear Systems
 94 Partial Fractions
 95 Nonlinear Systems of Equations
 96 Systems of Inequalities and Linear Programming
 97 Properties of Matrices
 98 Matrix Inverses
10. Analytic Geometry
 101 Parabolas
 102 Ellipses
 103 Hyperbolas
 104 Summary of the Conic Sections
11. Further Topics in Algebra
 111 Sequences and Series
 112 Arithmetic Sequences and Series
 113 Geometric Sequences and Series
 114 The Binomial Theorem
 115 Mathematical Induction
 116 Basics of Counting Theory
 117 Basics of Probability
Appendices
 A. Polar Form of Conic Sections
 B. Rotation of Axes
 C. Geometry Formulas
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