College Algebra and Trigonometry
by Margaret L. Lial, John Hornsby, David I. Schneider
7th Edition
Publisher: Pearson
Book Details
| Print ISBN | 9780135924549 |
| eText ISBN | 9780135925553 |
| Publisher | Pearson |
| Publishing Year | 2021 |
| Edition | 7th Edition |
| Language | English |
| Pages | 1232 |
College Algebra and Trigonometry, 7th Edition, is a Pearson textbook designed for postsecondary students enrolled in algebra and trigonometry courses. The volume aims to support learners in developing both conceptual understanding and the analytical problem-solving skills necessary for college mathematics.
Instruction centers on three main areas: algebraic equations and functions, plane trigonometry, and systems of equations with analytic geometry. The text examines polynomial, rational, exponential, and circular functions.
To accommodate varying levels of student preparation, the textbook features an expanded review chapter dedicated to foundational algebra topics that learners frequently find challenging. This work is published as a standalone volume for classroom use.
Table of Contents
Chapter R: Review of Basic Concepts
- • R-1 Fractions, Decimals, and Percents
- • R-2 Sets and Real Numbers
- • R-3 Real Number Operations and Properties
- • R-4 Integer and Rational Exponents
- • R-5 Polynomials
- • R-6 Factoring Polynomials
- • R-7 Rational Expressions
- • R-8 Radical Expressions
Chapter 1: Equations and Inequalities
- • 1-1 Linear Equations
- • 1-2 Applications and Modeling with Linear Equations
- • 1-3 Complex Numbers
- • 1-4 Quadratic Equations
- • 1-5 Applications and Modeling with Quadratic Equations
- • 1-6 Other Types of Equations and Applications
- • 1-7 Inequalities
- • 1-8 Absolute Value Equations and Inequalities
Chapter 2: Graphs and Functions
- • 2-1 Rectangular Coordinates and Graphs
- • 2-2 Circles
- • 2-3 Functions
- • 2-4 Linear Functions
- • 2-5 Equations of Lines and Linear Models
- • 2-6 Graphs of Basic Functions
- • 2-7 Graphing Techniques
- • 2-8 Function Operations and Composition
Chapter 3: Polynomial and Rational Functions
- • 3-1 Quadratic Functions and Models
- • 3-2 Synthetic Division
- • 3-3 Zeros of Polynomial Functions
- • 3-4 Polynomial Functions: Graphs, Applications, and Models
- • 3-5 Rational Functions: Graphs, Applications, and Models
- • 3-6 Polynomial and Rational Inequalities
- • 3-7 Variation
Chapter 4: Inverse, Exponential, and Logarithmic Functions
- • 4-1 Inverse Functions
- • 4-2 Exponential Functions
- • 4-3 Logarithmic Functions
- • 4-4 Evaluating Logarithms and the Change-of-Base Theorem
- • 4-5 Exponential and Logarithmic Equations
- • 4-6 Applications of Models of Exponential Growth and Decay
Chapter 5: Trigonometric Functions
- • 5-1 Angles
- • 5-2 Trigonometric Functions
- • 5-3 Trigonometric Function Values and Angle Measures
- • 5-4 Solutions and Applications of Right Triangles
Chapter 6: The Circular Functions and Their Graphs
- • 6-1 Radian Measure
- • 6-2 The Unit Circle and Circular Functions
- • 6-3 Graphs of the Sine and Cosine Functions
- • 6-4 Translations of the Graphs of the Sine and Cosine Functions
- • 6-5 Graphs of the Tangent and Cotangent Functions
- • 6-6 Graphs of the Secant and Cosecant Functions
- • 6-7 Harmonic Motion
Chapter 7: Trigonometric Identities and Equations
- • 7-1 Fundamental Identities
- • 7-2 Verifying Trigonometric Identities
- • 7-3 Sum and Difference Identities
- • 7-4 Double-Angle and Half-Angle Identities
- • 7-5 Inverse Circular Functions
- • 7-6 Trigonometric Equations
- • 7-7 Equations Involving Inverse Trigonometric Functions
Chapter 8: Applications of Trigonometry
- • 8-1 The Law of Sines
- • 8-2 The Law of Cosines
- • 8-3 Geometrically Defined Vectors and Applications
- • 8-4 Algebraically Defined Vectors and the Dot Product
- • 8-5 Trigonometric (Polar) Form of Complex Numbers; Products and Quotients
- • 8-6 De Moivre’s Theorem; Powers and Roots of Complex Numbers
- • 8-7 Polar Equations and Graphs
- • 8-8 Parametric Equations, Graphs, and Applications
Chapter 9: Systems and Matrices
- • 9-1 Systems of Linear Equations
- • 9-2 Matrix Solution of Linear Systems
- • 9-3 Determinant Solution of Linear Systems
- • 9-4 Partial Fractions
- • 9-5 Nonlinear Systems of Equations
- • 9-6 Systems of Inequalities and Linear Programming
- • 9-7 Properties of Matrices
- • 9-8 Matrix Inverses
Chapter 10: Analytic Geometry
- • 10-1 Parabolas
- • 10-2 Ellipses
- • 10-3 Hyperbolas
- • 10-4 Summary of the Conic Sections
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 Basics of Counting Theory
- • 11-7 Basics of Probability
Chapter Appendix A: Polar Form of Conic Sections
Chapter Appendix B: Rotation of Axes
Chapter Appendix C: Geometry Formulas
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