Video Notebook for College Algebra

Mark Dugopolski was born in Menominee, Michigan. After receiving a BS from Michigan State University, he taught high school in Illinois for four years. He received an MS in mathematics from Northern Illinois University at DeKalb. He then received a PhD in the area of topology and an MS in statistics from the University of Illinois at Champaign—Urbana. Mark taught mathematics at Southeastern Louisiana University in Hammond for twenty-five years and now holds the rank of Professor Emeritus of Mathematics. He has been writing textbooks since 1988. He is married and has two daughters. In his spare time he enjoys tennis, jogging, bicycling, fishing, kayaking, gardening, bridge, and motorcycling.

• P. PrerequisitesP.1 Real Numbers and Their PropertiesP.2 Integral Exponents and Scientific NotationP.3 Rational Exponents and RadicalsP.4 PolynomialsP.5 Factoring PolynomialsP.6 Rational ExpressionsP.7 Complex Numbers1. Equations, Inequalities, and Modeling1.1 Linear, Rational, and Absolute Value Equations1.2 Constructing Models to Solve Problems1.3 Equations and Graphs in Two Variables1.4 Linear Equations in Two Variables1.5 Quadratic Equations1.6 Miscellaneous Equations1.7 Linear and Absolute Value Inequalities2. Functions and Graphs2.1 Functions2.2 Graphs of Relations and Functions2.3 Families of Functions, Transformations, and Symmetry2.4 Operations with Functions2.5 Inverse Functions2.6 Constructing Functions with Variation3. Polynomial and Rational Functions3.1 Quadratic Functions and Inequalities3.2 Zeros of Polynomial Functions3.3 The Theory of Equations3.4 Graphs of Polynomial Functions3.5 Rational Functions and Inequalities4. Exponential and Logarithmic Functions4.1 Exponential Functions and Their Applications4.2 Logarithmic Functions and Their Applications4.3 Rules of Logarithms4.4 More Equations and Applications5. Systems of Equations and Inequalities5.1 Systems of Linear Equations in Two Variables5.2 Systems of Linear Equations in Three Variables5.3 Nonlinear Systems of Equations5.4 Partial Fractions5.5 Inequalities and Systems of Inequalities in Two Variables5.6 The Linear Programming Model6. Matrices and Determinants6.1 Solving Linear Systems Using Matrices6.2 Operations with Matrices6.3 Multiplication of Matrices6.4 Inverses of Matrices6.5 Solution of Linear Systems in Two Variables Using Determinants6.6 Solution of Linear Systems in Three Variables Using Determinants7. The Conic Sections7.1 The Parabola7.2 The Ellipse and the Circle7.3 The Hyperbola8. Sequences, Series, and Probability8.1 Sequences and Arithmetic Sequences8.2 Series and Arithmetic Series8.3 Geometric Sequences and Series8.4 Counting and Permutations8.5 Combinations, Labeling, and the Binomial Theorem8.6 Probability8.7 Mathematical Induction