College Algebra

Mike Sullivan Professor of Mathematics at Chicago State University received a Ph.D. in mathematics from Illinois Institute of Technology. Mike has taught at Chicago State for over 30 years. He is a native of Chicago’s South Side and currently resides in Oaklawn.  Mike has four children.  The two oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project.  Mike III co-authored the Sullivan Graphing with Data Analysis series as well as this series.  Dan, the youngest, sells for Prentice Hall as a generalist.   Mike has authored or co-authored over ten books.  He owns a travel agency, and splits his time between a condo in Naples, Florida and a home in Oaklawn, where Mike enjoys gardening.  Mike first signed this series with Deleen Publishing (Acquired by Macmillan) in 1985.  

R. Review.


Classification of Numbers. Algebra Review. Geometry Review. Polynomials. Factoring Polynomials. Polynomial Division; Synthetic Division. Rational Expressions. nth Roots; Rational Exponents. Chapter Review.



1. Equations and Inequalities.


Linear Equations. Quadratic Equations. Quadratic Equations in the Complex Number System. Radical Equations; Equations Quadratic in Form. Solving Inequalities. Equations and Inequalities Involving Absolute Value. Applications: Interest, Mixture, Uniform Motion, Constant Rate Jobs. Chapter Review. Chapter Projects.



2. Graphs.


Rectangular Coordinates. Graphs of Equations. Circles. Lines. Parallel and Perpendicular Lines. Scatter Diagrams; Linear Curve Fitting. Variation. Chapter Review. Chapter Projects. Cumulative Review.



3. Functions and their Graphs.


Introduction to Functions. The Graph of a Function. Properties of Functions. Library of Functions; Piecewise-Defined Functions. Graphing Techniques: Transformations. Mathematical Models: Constructing Functions. Chapter Review. Chapter Projects. Cumulative Review.



4. Polynomial and Rational Functions.


Quadratic Functions and Models. Polynomial Functions. Rational Functions I. Rational Functions II: Analyzing Graphs. Polynomial and Rational Inequalities. The Real Zeros of a Polynomial Function. Complex Zeros; Fundamental Theorem of Algebra. Chapter Review. Chapter Projects. Cumulative Review.



5. Exponential and Logarithmic Functions.


Composite Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Logarithmic and Exponential Equations. Compound Interest. Growth and Decay; Newton's Law; Logistic Models. Logarithmic Scales. Chapter Review. Chapter Projects. Cumulative Review.



6. Conics.


Preliminaries. The Parabola. The Ellipse. The Hyperbola. Chapter Review. Chapter Projects. Cumulative Review.



7. Systems of Equations and Inequalities.


Systems of Linear Equations: Substitution and Elimination. Systems of Linear Equations: Matrices. Systems of Linear Equations: Determinants. Matrix Algebra. Partial Fraction Decomposition. Systems of Nonlinear Equations. Systems of Inequalities. Linear Programming. Chapter Review. Chapter Projects. Cumulative Review.



8. Sequences; Induction; The Binomial Theorem.


Sequences. Arithmetic Sequences. Geometric Sequences; Geometric Series. Mathematical Induction. The Binomial Theorem. Chapter Review. Chapter Projects. Cumulative Review.



9. Counting and Probability.


Sets and Counting. Permutations and Combinations. Probability of Equally Likely Outcomes. Chapter Review. Chapter Projects. Cumulative Review.



Appendix: Graphing Utilities.


The Viewing Rectangle. Using a Graphing Utility to Graph Equations. Using a Graphing Utility to Locate Intercepts and Check for Symmetry. Using a Graphing Utility to Solve Equations. Square Screens. Using a Graphing Utility to Graph Inequalities. Using a Graphing Utility to Solve Systems of Linear Equations.



Answers.


Index.