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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.
R. Review
R.1 Operations of Fractions
R.2 Decimals and Percents
1. Real Numbers and Algebraic Expressions
1.1 The Real Number System
1.2 Adding and Subtracting Real Numbers
1.3 Multiplying and Dividing Real Numbers
1.4 Exponents and Order of Operations
1.5 Variables and Properties of Real Numbers
1.6 Simplifying Algebraic Expressions
2. Linear Equations and Inequalities in One Variable
2.1 The Addition and Multiplication Properties of Equality
2.2 Solving Linear Equations in One Variable
2.3 Introduction to Problem Solving
2.4 Formulas
2.5 Geometry and Uniform Motion Problem Solving
2.6 Percent and Mixture Problem Solving
2.7 Linear Inequalities in One Variable
2.8 Compound Inequalities
2.9 Absolute Value Equations and Inequalities
3. Graphs of Linear Equations and Inequalities in Two Variables
3.1 The Rectangular Coordinate System
3.2 Graphing Linear Equations in Two Variables
3.3 Slope
3.4 Equations of Lines
3.5 Linear Inequalities in Two Variables
4. Systems of Linear Equations and Inequalities
4.1 Solving Systems of Linear Equations by Graphing
4.2 Solving Systems of Linear Equations by Substitution
4.3 Solving Systems of Linear Equations by Elimination
4.4 Applications of Linear Systems
4.5 Systems of Linear Inequalities
4.6 Systems of Linear Equations in Three Variables
5. Exponents and Polynomials
5.1 Exponents
5.2 Introduction to Polynomials
5.3 Adding and Subtracting Polynomials
5.4 Multiplying Polynomials
5.5 Special Products
5.6 Negative Exponents and Scientific Notation
5.7 Dividing Polynomials
5.8 Polynomials in Several Variables
6. Factoring Polynomials
6.1 Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials of the Form x^{2} + bx + c
6.3 Factoring Trinomials of the Form ax^{2} + bx + c Using Trial and Error
6.4 Factoring Trinomials of the Form ax^{2} + bx + c Using the ac Method
6.5 Factoring Special Forms
6.6 A General Factoring Strategy
6.7 Solving Polynomial Equations by Factoring
6.8 Applications of Quadratic Equations
7. Rational Expressions and Equations
7.1 Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Least Common Denominators
7.4 Adding and Subtracting Rational Expressions
7.5 Complex Rational Expressions
7.6 Solving Rational Equations
7.7 Applications of Rational Equations
7.8 Variation
8. Introduction to Functions
8.1 Relations and Functions
8.2 Function Notation and the Algebra of Functions
8.3 Graphs of Functions and Their Applications
9. Radicals and Rational Exponents
9.1 Radical Expressions
9.2 Radical Functions
9.3 Rational Exponents and Simplifying Radical Expressions
9.4 Operations with Radicals
9.5 Radical Equations and Models
9.6 Complex Numbers
10. Quadratic Equations and Functions; Circles
10.1 Solving Quadratic Equations
10.2 Quadratic Functions and Their Graphs
10.3 Applications and Modeling of Quadratic Functions
10.4 Circles
10.5 Polynomial and Rational Inequalities
11. Exponential and Logarithmic Functions and Equations
11.1 Transformations of Functions
11.2 Composite and Inverse Functions
11.3 Exponential Functions
11.4 The Natural Exponential Function
11.5 Logarithmic Functions
11.6 Properties of Logarithms
11.7 Exponential and Logarithmic Equations
11.8 Applications of Exponential and Logarithmic Functions
12. Conic Sections
12.1 Introduction to Conic Sections; The Parabola
12.2 The Ellipse
12.3 The Hyperbola
13. Sequences and Series
13.1 Introduction to Sequences and Series
13.2 Arithmetic Sequences and Series
13.3 Geometric Sequences and Series
13.4 The Binomial Theorem
Appendix A: Synthetic Division
Appendix B: Mean, Median, and Mode
Appendix C: Solving Systems of Linear Equations Using Matrices
Appendix D: Determinants and Cramer’s Rule
Glossary
Answers
Index