Intermediate Algebra with Applications & Visualization

Gary Rockswold has been a professor and teacher of mathematics, computer science, astronomy, and physical science for over 35 years. Not only has he taught at the undergraduate and graduate college levels, but he has also taught middle school, high school, vocational school, and adult education. He received his BA degree with majors in mathematics and physics from St. Olaf College and his PhD in applied mathematics from Iowa State University. He has been a principal investigator at the Minnesota Supercomputer Institute, publishing research articles in numerical analysis and parallel processing. He is currently an emeritus professor of mathematics at Minnesota State University–Mankato. He is an author for Pearson Education and has numerous textbooks at the developmental and precalculus levels. Making mathematics accessible to students and professing the power of mathematics are special passions for Gary. He frequently gives keynote and invited addresses at regional, national, and international math conferences. In his spare time he enjoys sailing, doing yoga, hiking, and spending time with his family.   Terry Krieger has taught mathematics for over 20 years at the middle school, high school, vocational, community college, and university levels. His undergraduate degree in secondary education is from Bemidji State University in Minnesota, where he graduated summa cum laude. He received his MA in mathematics from Minnesota State University–Mankato. In addition to his teaching experience in the United States, Terry has taught mathematics in Tasmania, Australia, and in a rural school in Swaziland, Africa, where he served as a Peace Corps volunteer. Terry has been involved with various aspects of mathematics textbook publication throughout his career. In his free time, Terry enjoys spending time with his wife and two boys, physical fitness, wilderness camping, and trout fishing.

1. Real Numbers and Algebra





1.1 Describing Data with Sets of Numbers

1.2 Operations on Real Numbers

1.3 Integer Exponents

1.4 Variables, Equations, and Formulas

1.5 Introduction to Graphing

 





2. Linear Functions and Models

2.1 Functions and Their Representations

2.2 Linear Functions

2.3 The Slope of a Line

2.4 Equations of Lines and Linear Models

 

3. Linear Equations and Inequalities

3.1 Linear Equations

3.2 Introduction to Problem Solving

3.3 Linear Inequalities

3.4 Compound Inequalities and Piecewise-Defined Functions

3.5 Absolute Value Equations and Inequalities

 

4. Systems of Linear Equations

4.1 Systems of Linear Equations in Two Variables

4.2 The Substitution and Elimination Methods

4.3 Systems of Linear Inequalities

4.4 Introduction to Linear Programming

4.5 Systems of Linear Equations in Three Variables

4.6 Matrix Solutions of Linear Systems

4.7 Determinants

 

5. Polynomial Expressions and Functions

5.1 Polynomial Functions

5.2 Multiplication of Polynomials

5.3 Factoring Polynomials

5.4 Factoring Trinomials

5.5 Special Types of Factoring

5.6 Summary of Factoring

5.7 Polynomial Equations

 

6. Rational Expressions and Functions

6.1 Introduction to Rational Functions and Equations

6.2 Multiplication and Division of Rational Expressions

6.3 Addition and Subtraction of Rational Expressions

6.4 Rational Equations

6.5 Complex Fractions

6.6 Modeling with Proportions and Variation

6.7 Division of Polynomials

 

7. Radical Expressions and Functions

7.1 Radical Expressions and Functions

7.2 Rational Exponents

7.3 Simplifying Radical Expressions

7.4 Operations on Radical Expressions

7.5 More Radical Functions

7.6 Equations Involving Radical Expressions

7.7 Complex Numbers

 

8. Quadratic Functions and Equations

8.1 Quadratic Functions and Their Graphs

8.2 Transformations and Translations of Parabolas

8.3 Quadratic Equations

8.4 The Quadratic Formula

8.5 Quadratic Inequalities

8.6 Equations in Quadratic Form

 

9. Exponential and Logarithmic Functions

9.1 Composite and Inverse Functio