College Algebra, 13th edition

  • Margaret L. Lial, 
  • John Hornsby, 
  • David I. Schneider, 
  • Callie Daniels

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Overview

College Algebra helps you develop the balance of conceptual understanding and analytical skills needed to succeed in mathematics.

Published by Pearson (August 25th 2020) - Copyright © 2021

ISBN-13: 9780136881063

Subject: Precalculus, College Algebra & Trigonometry

Category: College Algebra

Table of contents

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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