College Algebra, 13th edition

Published by Pearson (August 25, 2020) © 2021

  • Margaret L. Lial American River College
  • John Hornsby University of New Orleans
  • David I. Schneider University of Maryland
  • Callie J. Daniels St. Charles Community College
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College Algebra by Lial, Hornsby, Schneider and Daniels channels the experience of master teachers to help you develop the conceptual understanding and analytical skills needed for success in mathematics. The 13th Edition expands the Review chapter to cover more of the basic algebra concepts that often challenge students, with a new section on Fractions, Decimals, and Percents; adds new topics throughout the chapter such as operations with signed numbers and dividing a polynomial by a monomial; and reorganizes topics in the chapter for improved flow. Throughout the text, updates include a new section on Polynomial and Rational Inequalities and much more.

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

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

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

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

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 and Models of Exponential Growth and Decay

5. Systems and Matrices

  • 5-1 Systems of Linear Equations
  • 5-2 Matrix Solution of Linear Systems
  • 5-3 Determinant Solution of Linear Systems
  • 5-4 Partial Fractions
  • 5-5 Nonlinear Systems of Equations
  • 5-6 Systems of Inequalities and Linear Programming
  • 5-7 Properties of Matrices
  • 5-8 Matrix Inverses

6. Analytic Geometry

  • 6-1 Parabolas
  • 6-2 Ellipses
  • 6-3 Hyperbolas
  • 6-4 Summary of the Conic Sections

7. Further Topics in Algebra

  • 7-1 Sequences and Series
  • 7-2 Arithmetic Sequences and Series
  • 7-3 Geometric Sequences and Series
  • 7-4 The Binomial Theorem
  • 7-5 Mathematical Induction
  • 7-6 Counting Theory
  • 7-7 Basics of Probability

Answers to Selected Exercises

Photo Credits

Index

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