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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).
Randy Gallaher is a professor of mathematics at Lewis & Clark Community College, where he has taught since 1997. Prior to this position, Randy taught high school and middle school mathematics for five years in Missouri. He holds a master’s degree in mathematics from Southeast Missouri State University and has completed additional graduate coursework at both Missouri State University and the University of Illinois at Urbana-Champaign. He has coauthored ancillary materials for numerous math and statistics textbooks and has worked as a math author on several grant projects for the Illinois Community College Board. Randy is married with three children and spends most evenings actively involved in their activities. In his limited free time, he loves to fish the small rivers and streams of southern Missouri.
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