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ISBN: 9780534419769 | 0534419763

Edition: 3rdFormat: Paperback

Publisher: Brooks Cole

Pub. Date: 7/11/2003

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1. FUNDAMENTALS OF ALGEBRA. Real Numbers. Polynomials. Factoring Polynomials. Rational Expressions. Integer Exponents. Solving Equations. Rational Exponents and Radicals. Quadratic Equations. Inequalities and Absolute Value. Chapter1 Summary and Review Exercises. 2. FUNCTIONS AND THEIR GRAPHS. The Cartesian Coordinate System and Straight Lines. Equations of Lines. Using Technology. Functions and Their Graphs. The Algebra of Functions. Linear Functions. Portfolio: Carol Busa. Using Technology. Quadratic Functions. Chapter 2 Summary and Review Exercises. 3. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Using Technology. Logarithmic Functions. Exponential Functions as Mathematical Models. Chapter 3 Summary and Review Exercises. 4. MATHEMATICS OF FINANCE. Compound Interest. Using Technology. Annuities. Using Technology. Amortization and Sinking Funds. Portfolio: John Decker. Using Technology. Arithmetic and Geometric Progressions (Optional). Chapter 4 Summary and Review Exercises. 5. SYSTEMS OF LINEAR EQUATIONS AND MATRICES. Systems of Linear Equations Introduction. Solving Systems of Linear Equations: Unique Solutions. Using Technology. Solving Systems of Linear Equations: Undetermined and Overdetermined Systems. Using Technology. Matrices. Using Technology. Multiplication of Matrices. Using Technology. The Inverse of a Square Matrix. Using Technology. Chapter 5 Summary and Review Exercises. 6. LINEAR PROGRAMMING. Graphing Systems of Linear Inequalities in Two Variables. Linear Programming Problems. Portfolio: Leanne Jenkins. Graphical Solution of Linear Programming Problems. The Simplex Method: Standard Maximization Problems. Using Technology. Portfolio: Harley Lance Kaplan. The Simplex Method: Standard Minimization Problems. Using Technology. Chapter 6 Summary and Review Exercises. 7. SETS AND PROBABILITY. Sets and Set Operations. The Number of Elements in a Finite Set. The Multiplication Principle. Portfolio: John Higgins. Permutations and Combinations. Using Technology. Experiments, Sample Spaces, and Events. Probability. Rules of Probability. Chapter 7 Summary and Review Exercises. 8. ADDITIONAL TOPICS IN PROBABILITY. Use of Counting Techniques in Probability. Conditional Probability and Independent Events. Bayes' Theorem. Distributions of Random Variables. Using Technology. Expected Value. Portfolio: Lilli Meiselman. Variance and Standard Deviation. Using Technology. Chapter 8 Summary and Review Exercises. 9. THE DERIVATIVE. Limits. Using Technology. Portfolio: James H. Chesebro, M.D. Continuity. Using Technology. The Derivative. Using Technology. Basic Rules of Differentiation. Using Technology. The Product and Quotient Rules: Higher-Order Derivatives. Using Technology. The Chain Rule. Using Technology. Differentiation of Exponential and Logarithmic Functions. Using Technology. Marginal Functions in Economics. Chapter 9 Summary and Review Exercises. 10. APPLICATIONS OF THE DERIVATIVE. Applications of the First Derivative. Using Technology. Applications of the Second Derivative. Using Technology. Curve Sketching. Using Technology. Optimization I. Using Technology. Optimization II. Chapter 10 Summary and Review Exercises. 11. INTEGRATION. Antiderivatives and the Rules of Integration. Integration by Substitution. Area and the Definite Integral. The Fundamental Theorem of Calculus. Using Technology. Evaluating Definite Integrals. Using Technology. Area Between Two Curves. Using Technology. Applications of the Definite Integral to Business and Economics. Using Technology. Chapter 11 Summary and Review Exercises. 12. CALCULUS OF SEVERAL VARIABLES. Functions of Several Variables. Partial Derivatives. Using Technology. Maxima and Minima of Functions of Several Variables. Chapter 12 Summary and Review Exercises. Answers to Selected Exercises. Index.