Description: Applications Index. 1. CARTESIAN COORDINATES AND LINES. Sets and the Cartesian Coordinate System. Lines. Linear Modules. Method of Least Squares. 2. SYSTEMS OF LINEAR EQUATIONS AND MATRICES. Introduction to systems of Linear Equations. General Systems of Linear Equations. Introduction to Matrices. Matrix Multiplication. Inverse of a Square Matrix. Leontief Input-Output Models. 3. LINEAR PROGRAMMING: THE GRAPHICAL METHOD. Graphing Linear Inequalities. Graphical Solution of Linear Programming Problems. More Linear Programming. 4. LINEAR PROGRAMMING: THE SIMPLEX METHOD. Slack Variables and the Simplex Tableau. The Simplex Method: Standard Maximization Problems. Minimization Problems and the Dual. The Simplex Method: Nonstandard and Minimization Problems. Post-Optimal Analysis. 5. MATHEMATICS OF FINANCE. Simple Interest and Discount. Compound Interest. Annuities and Sinking funds. Present Value of Annuities and Amortization. 6. SETS AND COUNTING. Sets. The Number of Elements in a Set. The Multiplication of Principle, Permutations. Combinations. Binomial Theorem, Partitions. 7. PROBABILITY. The Basis of Probability. Empirical and Intuitive Probability. Mathematical Probability. Spaces With Equally Likely Outcomes. Conditional Probability. Bayes? Theorem. Bernoulli Trials. Solution to Game Show Problem. 8. STATISTICS AND PROBABILITY DISTRIBUTIONS. Probability Distributions. Measures of Central Tendency. Measures of Dispersion. The Normal Distribution. Normal Approximation to the Binomial Distribution. Poisson Distribution. 9. MARKOV PROCESSES. Markov Processes. Regular Markov Processes. Absorbing Markov Processes. 10. GAME THEORY. Strictly Determined Games. Mixed Strategy Games. Linear Programming and Game Theory. 11. DISCRETE DYNAMICAL SYSTEMS AND MATHEMATICAL MODELS. Linear Dynamical systems and Mathematical Models. Nonhomogeneous Linear Dynamical Systems. Qualitative Behavior. Qualitative Behavior (Continued). Nonlinear Dynamical Systems. Nonlinear Dynamical Systems with Cycles. 12. LOGIC. Introduction to Logic. Truth Tables. Implication and Equivalence. Laws of Logic. Arguments. Switching Networks. APPENDIXES. Special Topics. Tables. The Graphing Calculator. Answers. Index.

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