R. Review
R.1 Sets of Numbers
R.2 Order of Operations and Properties of Real Numbers
R.3 Algebraic Expressions
1. Equations and Inequalities in One Variable
1.1 Linear Equations in One Variable
1.2 Linear Inequalities in One Variable
1.3 Compound Inequalities
1.4 Absolute Value Equations and Inequalities
1.5 Formulas and Problem Solving
2. Graphs and Functions
2.1 The Rectangular Coordinate System and Graphing
2.2 Relations and Functions
2.3 Function Notation and Applications
2.4 Graphs of Linear Functions
2.5 Linear Equations in Two Variables
2.6 Linear Inequalities in Two Variables
3. Systems of Linear Equations and Inequalities
3.1 Systems of Linear Equations in Two Variables
3.2 Systems of Linear Equations in Three Variables
3.3 More Problem Solving with Systems of Linear Equations
3.4 Systems of Linear Inequalities in Two Variables
4. Polynomial Expressions and Functions
4.1 Rules for Exponents
4.2 Introduction to Polynomial Functions
4.3 Multiplying Polynomials
4.4 Dividing Polynomials
5. Factoring
5.1 Greatest Common Factor and Factoring by Grouping
5.2 Factoring Trinomials
5.3 Special-Case Factoring; A General Factoring Strategy
5.4 Polynomial Equations and Models
6. Rational Expressions, Equations, and Functions
6.1 Introduction to Rational Expressions and Functions
6.2 Multiplying and Dividing Rational Expressions
6.3 Adding and Subtracting Rational Expressions
6.4 Complex Rational Expressions
6.5 Rational Equations and Models
6.6 Variation
7. Radicals and Rational Exponents
7.1 Radical Expressions
7.2 Radical Functions
7.3 Rational Exponents and Simplifying Radical Expressions
7.4 Operations with Radicals
7.5 Radical Equations and Models
7.6 Complex Numbers
8. Quadratic Equations and Functions; Circles
8.1 Solving Quadratic Equations
8.2 Quadratic Functions and Their Graphs
8.3 Applications and Modeling of Quadratic Functions
8.4 Circles
8.5 Polynomial and Rational Inequalities
9. Exponential and Logarithmic Functions and Equations
9.1 Transformations of Functions
9.2 Composite and Inverse Functions
9.3 Exponential Functions
9.4 The Natural Exponential Function
9.5 Logarithmic Functions
9.6 Properties of Logarithms
9.7 Exponential and Logarithmic Equations
9.8 Applications of Exponential and Logarithmic Functions
10. Conic Sections
10.1 Introduction to Conic Sections; The Parabola
10.2 The Ellipse
10.3 The Hyperbola
11. Sequences and Series
11.1 Introduction to Sequences and Series
11.2 Arithmetic Sequences and Series
11.3 Geometric Sequences and Series
11.4 The Binomial Theorem
Appendix A: Fractions, Decimals, Proportions, Percents
A.1 Fractions
A.2 Decimals
A.3 Proportions
A.4 Percents
Appendix B: Solving Systems of Linear Equations Using Matrices
Appendix C: Determinants and Cramer’s Rule
Kirk Trigsted teaches Precalculus at the University of Idaho,
with 2000 students each year in a combined classroom and laboratory
setting. He has been Director of the Polya Mathematics Center at
the University of Idaho since its inception in 2001. Kirk has
served as a consultant and redesign scholar for various projects
through the National Center for Academic Transformation (NCAT). He
is the lead author of an interactive, completely clickable
MyMathLab series built from the ground up within MyMathLab. There
are over 12 programs in his series spanning from Basic
Math-Precalculus and Trigonometry.
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.
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