Corequisite Resource Notebook for College Algebra MyLab Revision with Corequisite Support

Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University–Purdue University Indianapolis (IUPUI). In addition to her career in textbook publishing, she enjoys traveling, spending time with her grandchildren, and promoting charity projects for a children's camp.  Judy Penna received her undergraduate degree in mathematics from Kansas State University and her graduate degree in mathematics from the University of Illinois. Since then, she has taught at Indiana University–Purdue University Indianapolis (IUPUI) and at Butler University, and continues to focus on writing quality textbooks for undergraduate mathematics students. In her free time she likes to travel, read, knit and spend time with her children.  Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University–Purdue University Indianapolis (IUPUI), and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.

• The table of contents below shows the review topics (bulleted text) that are integrated into the MyLab™ Math course. The Integrated Review includes worksheets, videos, and other materials designed to help students master these important topics. Just-In-Time Review 1. Graphs, Functions, and Models1.1 Introduction to Graphing1.2 Functions and Graphs1.3 Linear Functions, Slope, and Applications1.4 Equations of Lines and Modeling1.5 Linear Equations, Functions, Zeros, and Applications1.6 Solving Linear Inequalities Integrated Review Topics: Graphing Linear FunctionsOperations on the Real NumbersOrder of operationsFactoring trinomials: ax2 + bx + cFactoring trinomial squares and differences of squaresThe principle of zero productsInterval notationSolving linear equationsSolving linear inequalities 2. More on Functions2.1 Increasing, Decreasing, and Piecewise Functions; Applications2.2 The Algebra of Functions2.3 The Composition of Functions2.4 Symmetry2.5 Transformations2.6 Variation and Applications Integrated Review Topics: Interval NotationThe Pythagorean TheoremSimplifying Rational expressionsAddition and subtraction of polynomialsSimplifying complex rational expressions 3. Quadratic Functions and Equations; Inequalities3.1 The Complex Numbers3.2 Quadratic Equations, Functions, Zeros, and Models3.3 Analyzing Graphs of Quadratic Functions3.4 Solving Rational Equations and Radical Equations3.5 Solving Equations and Inequalities with Absolute Value Integrated Review Topics: Multiplying radical expressionsMultiplying binomialsSimplifying radical expressionsCompleting the squareFactoring trinomials: ax2 + bx + cFactoring trinomial squares and differences of squaresThe principle of zero productsFinding the LCM of algebraic expressionsThe principle of powers 4. Polynomial Functions and Rational Functions4.1 Polynomial Functions and Models4.2 Graphing Polynomial Functions4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem4.4 Theorems about Zeros of Polynomial Functions4.5 Rational Functions4.6 Polynomial Inequalities and Rational Inequalities Integrated Review Topics: Introduction to polynomialsFactoring by groupingOperations on the Real NumbersInterval Notation 5. Exponential Functions and Logarithmic Functions5.1 Inverse Functions5.2 Exponential Functions and Graphs5.3 Logarithmic Functions and Graphs5.4 Properties of Logarithmic Functions5.5 Solving Exponential Equations and Logarithmic Equations5.6 Applications and Models: Growth and Decay; Compound Interest Integrated Review Topics: Integers as exponentsFinding logarithms without a calculator 6. Systems of Equations and Matrices6.1 Systems of Equations in Two Variables6.2 Systems of Equations in Three Variables6.3 Matrices and Systems of Equations6.4 Matrix Operations6.5 Inverses of Matrices6.6 Determinants and Cramer’s Rule6.7 Systems of Inequalities and Linear Programming6.8 Partial Fractions Integrated Review Topics: Graphing Linear FunctionsOperations on the Real Numbers 7. Conic Sections7.1 The Parabola7.2 The Circle and the Ellipse7.3 The Hyperbola7.4 Nonlinear Systems of Equations and Inequalities Integrated Review Topic: Completing the square 8. Sequences, Series, and Combinatorics8.1 Sequences and Series8.2 Arithmetic Sequences and Series8.3 Geometric Sequences and Series8.4 Mathematical Induction8.5 Combinatorics: Permutations8.6 Combinatorics: Combinations8.7 The Binomial Theorem8.8 Probability