College Algebra

College Algebra, 13th edition

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

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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

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