College Algebra Essentials, 4th Edition

Bob Blitzer has inspired thousands of students with his engaging approach to mathematics, making this beloved series the #1 in the market. Blitzer draws on his unique background in mathematics and behavioral science to present the full scope of mathematics with vivid applications in real-life situations. Students stay engaged because Blitzer often uses pop-culture and up-to-date references to connect math to students’ lives, showing that their world is profoundly mathematical.

P. Prerequisites: Fundamental Concepts of Algebra

P.1 Algebraic Expressions, Mathematical Models, and Real Numbers

P.2 Exponents and Scientific Notation

P.3 Radicals and Rational Exponents

P.4 Polynomials

            Mid-Chapter Check Point

P.5 Factoring Polynomials

P.6 Rational Expressions

            SUMMARY, REVIEW, AND TEST

            REVIEW EXERCISES

            CHAPTER P TEST

 

1. Equations and Inequalities

1.1 Graphs and Graphing Utilities

1.2 Linear Equations and Rational Equations

1.3 Models and Applications

1.4 Complex Numbers

1.5 Quadratic Equations

            Mid-Chapter Check Point

1.6 Other Types of Equations

1.7 Linear Inequalities and Absolute Value Inequalities

            SUMMARY, REVIEW, AND TEST

            REVIEW EXERCISES

            CHAPTER 1 TEST

 

2. Functions and Graphs

2.1 Basics of Functions and Their Graphs

2.2 More on Functions and Their Graphs

2.3 Linear Functions and Slope

2.4 More on Slope

            Mid-Chapter Check Point

2.5 Transformations of Functions

2.6 Combinations of Functions; Composite Functions

2.7 Inverse Functions

2.8 Distance and Midpoint Formulas; Circles

            SUMMARY, REVIEW, AND TEST

            REVIEW EXERCISES

            CHAPTER 2 TEST

            CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-2)

 

3. Polynomial and Rational Functions

3.1 Quadratic Functions

3.2 Polynomial Functions and Their Graphs

3.3 Dividing Polynomials; Remainder and Factor Theorems

3.4 Zeros of Polynomial Functions

            Mid-Chapter Check Point

3.5 Rational Functions and Their Graphs

3.6 Polynomial and Rational Inequalities

3.7 Modeling Using Variation

            SUMMARY, REVIEW, AND TEST

            REVIEW EXERCISES

            CHAPTER 3 TEST

            CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-3) 410

 

4. Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Properties of Logarithms

            Mid-Chapter Check Point

4.4 Exponential and Logarithmic Equations

4.5 Exponential Growth and Decay; Modeling Data

            SUMMARY, REVIEW, AND TEST

            REVIEW EXERCISES

            CHAPTER 4 TEST

            CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-4)

 

5. Systems of Equations and Inequalities

5.1 Systems of Linear Equations in Two Variables

5.2 Systems of Linear Equations in Three Variables

5.3 Partial Fractions

5.4 Systems of Nonlinear Equations in Two Variables

            Mid-Chapter Check Point

5.5 Systems of Inequalities

5.6 Linear Programming

            SUMMARY, REVIEW, AND TEST

            REVIEW EXERCISES

            CHAPTER 5 TEST

            CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-5)

 

Appendix: Where Did That Come From? Selected Proofs

Answers to Selected Exercises

Subject Index

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