College Algebra

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)

 

6. Matrices and Determinants

6.1 Matrix Solutions to Linear Systems

6.2 Inconsistent and Dependent Systems and Their Applications

6.3 Matrix Operations and Their Applications

   Mid-Chapter Check Point

6.4 Multiplicative Inverses of Matrices and Matrix Equations

6.5 Determinants and Cramer's Rule

   SUMMARY, REVIEW, AND TEST

   REVIEW EXERCISES

   CHAPTER 6 TEST

   CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-6)

 

7. Conic Sections

7.1 The Ellipse

7.2 The Hyperbola

   Mid-Chapter Check Point

7.3 The Parabola

   SUMMARY, REVIEW, AND TEST

   REVIEW EXERCISES

   CHAPTER 7 TEST