1. REVIEW OF REAL NUMBERS.
Introduction to Real Numbers. Operations on Integers. Operations on
Rational Numbers. Variable Expressions. Verbal Expressions and
Variable Expressions.
2. FIRST-DEGREE EQUATIONS AND INEQUALITIES.
Equations in One Variable. Value Mixture and Motion Problems.
Applications: Problems Involving Percent. Inequalities in One
Variable. Absolute Value Equations and Inequalities.
3. LINEAR FUNCTIONS AND INEQUALITIES IN TWO VARIABLES.
The Rectangular Coordinate System. Introduction to Functions.
Linear Functions. Slope of a Straight Line. Finding Equations of
Lines. Parallel and Perpendicular Lines. Inequalities in Two
Variables.
4. SYSTEMS OF EQUATIONS AND INEQUALITIES.
Solving Systems of Linear Equations by Graphing and by the
Substitution Method. Solving Systems of Linear Equations by the
Addition Method. Solving Systems of Equations by Using Determinants
and by Using Matrices. Application Problems. Solving Systems of
Linear Inequalities.
5. POLYNOMIALS AND EXPONENTS.
Exponential Expressions. Introduction to Polynomials.
Multiplication of Polynomials. Division of Polynomials.
Introduction to Factoring. Factoring Trinomials. Special Factoring.
Solving Equations by Factoring.
6. RATIONAL EXPRESSIONS.
Introduction to Rational Functions. Operations on Rational
Expressions. Complex Fractions. Rational Equations. Proportions and
Variation. Literal Equations.
7. RATIONAL EXPONENTS AND RADICALS.
Rational Exponents and Radical Expressions. Operations on Radical
Expressions. Radical Functions. Solving Equations Containing
Radical Expressions. Complex Numbers.
8. QUADRATIC EQUATIONS AND INEQUALITIES.
Solving Quadratic Equations by Factoring or by Taking Square Roots.
Solving Quadratic Equations by Completing the Square and by Using
the Quadratic Formula. Equations That Are Reducible to Quadratic
Equations. Applications of Quadratic Equations. Properties of
Quadratic Functions. Applications of Quadratic Functions. Nonlinear
Inequalities.
9. FUNCTIONS AND RELATIONS.
Translations of Graphs. Algebra of Functions. One-to-One and
Inverse Functions.
10. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Introduction to Logarithms. Graphs of
Logarithmic Functions. Exponential and Logarithmic Equations.
Applications of Exponential and Logarithmic Functions.
11. SEQUENCES AND SERIES.
Introduction to Sequences and Series. Arithmetic Sequences and
Series. Geometric Sequences and Series. Binomial Expansions.
12. CONIC SECTIONS.
The Parabola. The Circle. The Ellipse and the Hyperbola. Solving
Nonlinear Systems of Equations. Quadratic Inequalities and Systems
of Inequalities.
Final Exam.
Appendix.
Joanne Lockwood received a BA in English Literature from St. Lawrence University and both an MBA and a BA in mathematics from Plymouth State University. Ms. Lockwood taught at Plymouth State University and Nashua Community College in New Hampshire, and has over 20 years' experience teaching mathematics at the high school and college level. Ms. Lockwood has co-authored two bestselling developmental math series, as well as numerous derivative math texts and ancillaries. Ms. Lockwood's primary interest today is helping developmental math students overcome their challenges in learning math. Richard Aufmann is the lead author of two best-selling DEVELOPMENTAL MATH series and a best-selling COLLEGE ALGEBRA AND TRIGONOMETRY series, as well as several derivative math texts. Mr. Aufmann taught math, computer science and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum and the impact of technology on curriculum development. He holds a Bachelor of Arts in Mathematics from the University of California, Irvine and a Master of Arts degree in Mathematics from California State University, Long Beach.
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