Kirk Trigsted teaches mathematics at the University of Idaho and has been director of the Polya Mathematics Center since its inception in 2001. Kirk has taught with MyMathLab for many years, and has contributed to the videos for several Pearson books. Kirk is also actively involved with the National Center for Academic Transformation (NCAT).

Kevin Bodden is a professor of mathematics at Lewis & Clark Community College where he has taught since 1999. He holds a master’s degree in mathematics from Southern Illinois University at Edwardsville and a master’s degree in engineering from Purdue University. He has authored or co-authored ancillary material for numerous textbooks ranging from basic college math to calculus and statistics. He has contributed videos for several of these textbooks and has authored math content on grant projects for the Illinois Community College Board. Kevin is married with three children and is actively involved in their school and extracurricular activities. In his spare time, he enjoys soccer, camping, and geocaching.

Module 1. Whole Numbers

1.1 Study Tips for This Course

1.2 Introduction to Whole Numbers

1.3 Adding and Subtracting Whole Numbers; Perimeter

1.4 Multiplying Whole Numbers; Area

1.5 Dividing Whole Numbers

1.6 Exponents and Order of Operations

1.7 Introduction to Variables, Algebraic Expressions, and Equations

Module 2. Integers and Introduction to Solving Equations

2.1 Introduction to Integers

2.2 Adding Integers

2.3 Subtracting Integers

2.4 Multiplying and Dividing Integers

2.5 Order of Operations

2.6 Solving Equations: The Addition and Multiplication Properties

Module 3. Solving Equations and Problem Solving

3.1 Simplifying Algebraic Expressions

3.2 Revisiting the Properties of Equality

3.3 Solving Linear Equations in One Variable

3.4 Using Linear Equations to Solve Problems

Module 4. Fractions and Mixed Numbers

4.1 Introduction to Fractions and Mixed Numbers

4.2 Factors and Simplest Form

4.3 Multiplying and Dividing Fractions

4.4 Adding and Subtracting Fractions

4.5 Complex Fractions and Review of Order of Operations

4.6 Operations on Mixed Numbers

4.7 Solving Equations Containing Fractions

Module 5. Decimals

5.1 Introduction to Decimals

5.2 Adding and Subtracting Decimals

5.3 Multiplying Decimals; Circumference

5.4 Dividing Decimals

5.5 Fractions, Decimals and Order of Operations

5.6 Solving Equations Containing Decimals

Module 6. Ratios and Proportions

6.1 Ratios, Rates, and Unit Prices

6.2 Proportions

6.3 Proportions and Problem Solving

6.4 Congruent and Similar Triangles

6.5 Square Roots and the Pythagorean Theorem

Module 7. Percent

7.1 Percents, Decimals, and Fractions

7.2 Solving Percent Problems with Equations

7.3 Solving Percent Problems with Proportions

7.4 Applications of Percent

7.5 Percent and Problem Solving: Sales Tax, Commission, and Discount

7.6 Percent and Problem Solving: Interest

Module 8. Geometry and Measurement

8.1 Lines and Angles

8.2 Perimeter, Circumference, and Area

8.3 Volume and Surface Area

8.4 Linear Measurement

8.5 Weight and Mass

8.6 Capacity

8.7 Time and Temperature

Module 9. Statistics

9.1 Mean, Median, and Mode

9.2 Histograms

9.3 Counting

9.4 Probability

Module 10. Real Numbers and Algebraic Expressions

10.1 The Real Number System

10.2 Adding and Subtracting Real Numbers

10.3 Multiplying and Dividing Real Numbers

10.4 Exponents and Order of Operations

10.5 Variables and Properties of Real Numbers

10.6 Simplifying Algebraic Expressions

Module 11. Linear Equations and Inequalities in One Variable

11.1 The Addition and Multiplication Properties of Equality

11.2 Solving Linear Equations in One Variable

11.3 Introduction to Problem Solving

11.4 Formulas

11.5 Geometry and Uniform Motion Problem Solving

11.6 Percent and Mixture Problem Solving

11.7 Linear Inequalities in One Variable

11.8 Compound Inequalities; Absolute Value Equations and Inequalities

Module 12. Graphs of Linear Equations and Inequalities in Two Variables

12.1 The Rectangular Coordinate System

12.2 Graphing Linear Equations in Two Variables

12.3 Slope

12.4 Equations of Lines

12.5 Linear Inequalities in Two Variables

Module 13. Systems of Linear Equations and Inequalities

13.1 Solving Systems of Linear Equations by Graphing

13.2 Solving Systems of Linear Equations by Substitution

13.3 Solving Systems of Linear Equations by Elimination

13.4 Applications of Linear Systems

13.5 Systems of Linear Inequalities

13.6 Systems of Linear Equations in Three Variables

Module 14. Exponents and Polynomials

14.1 Exponents

14.2 Introduction to Polynomials

14.3 Adding and Subtracting Polynomials

14.4 Multiplying Polynomials

14.5 Special Products

14.6 Negative Exponents and Scientific Notation

14.7 Dividing Polynomials

14.8 Polynomials in Several Variables

Module 15. Factoring Polynomials

15.1 Greatest Common Factor and Factoring by Grouping

15.2 Factoring Trinomials of the Form x ² + bx + c

15.3 Factoring Trinomials of the Form ax ² + bx + c Using Trial and Error

15.4 Factoring Trinomials of the Form ax ² + bx + c Using the ac Method

15.5 Factoring Special Forms

15.6 A General Factoring Strategy

15.7 Solving Polynomial Equations by Factoring

15.8 Applications of Quadratic Equations

Module 16. Rational Expressions and Equations

16.1 Simplifying Rational Expressions

16.2 Multiplying and Dividing Rational Expressions

16.3 Least Common Denominators

16.4 Adding and Subtracting Rational Expressions

16.5 Complex Rational Expressions

16.6 Solving Rational Equations

16.7 Applications of Rational Equations

16.8 Variation

Module 17. Introduction to Functions

17.1 Relations and Functions

17.2 Function Notation and the Algebra of Functions

17.3 Graphs of Functions and Their Applications

Module 18. Radicals and Rational Exponents

18.1 Radical Expressions

18.2 Radical Functions

18.3 Rational Exponents and Simplifying Radical Expressions

18.4 Operations with Radicals

18.5 Radical Equations and Models

18.6 Complex Numbers

Module 19. Quadratic Equations and Functions; Circles

19.1 Solving Quadratic Equations

19.2 Quadratic Functions and Their Graphs

19.3 Applications and Modeling of Quadratic Functions

19.4 Circles

19.5 Polynomial and Rational Inequalities

Module 20. Exponential and Logarithmic Functions and Equations

20.1 Transformations of Functions

20.2 Composite and Inverse Functions

20.3 Exponential Functions

20.4 The Natural Exponential Function

20.5 Logarithmic Functions

20.6 Properties of Logarithms

20.7 Exponential and Logarithmic Equations

20.8 Applications of Exponential and Logarithmic Functions

Module 21. Conic Sections

21.1 The Parabola

21.2 The Ellipse

21.3 The Hyperbola

Module 22. Sequences and Series

22.1 Introduction to Sequences and Series

22.2 Arithmetic Sequences and Series

22.3 Geometric Sequences and Series

22.4 The Binomial Theorem

Module 23. Additional Topics

23.1 Synthetic Division

23.2 Solving Systems of Linear Equations Using Matrices

23.3 Determinants of Cramer's Rule

Appendix A. Tables

Appendix B. Geometric Formulas

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