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Diagnostic Prerequisite Test PART ONE: A LIBRARY OF ELEMENTARY FUNCTIONS 1. Linear Equations and Graphs 1.1 Linear Equations and Inequalities 1.2 Graphs and Lines 1.3 Linear Regression Chapter 1 Review Review Exercises 2. Functions and Graphs 2.1 Functions 2.2 Elementary Functions: Graphs and Transformations 2.3 Quadratic Functions 2.4 Polynomial and Rational Functions 2.5 Exponential Functions 2.6 Logarithmic Functions Chapter 2 Review Review Exercises PART TWO: FINITE MATHEMATICS 3. Mathematics of Finance 3.1 Simple Interest 3.2 Compound and Continuous Compound Interest 3.3 Future Value of an Annuity; Sinking Funds 3.4 Present Value of an Annuity; Amortization Chapter 3 Review Review Exercises 4. Systems of Linear Equations; Matrices 4.1 Review: Systems of Linear Equations in Two Variables 4.2 Systems of Linear Equations and Augmented Matrices 4.3 Gauss-Jordan Elimination 4.4 Matrices: Basic Operations 4.5 Inverse of a Square Matrix 4.6 Matrix Equations and Systems of Linear Equations 4.7 Leontief Input-Output Analysis Chapter 4 Review Review Exercises 5. Linear Inequalities and Linear Programming 5.1 Linear Inequalities in Two Variables 5.2 Systems of Linear Inequalities in Two Variables 5.3 Linear Programming in Two Dimensions: A Geometric Approach Chapter 5 Review Review Exercises 6. Linear Programming: The Simplex Method 6.1 the Table Method: An Introduction to the Simplex Method 6.2 The Simplex Method: Maximization with Problem Constraints of the Form ≤ 6.3 The Dual; Minimization with Problem Constraints of the form ≥ 6.4 Maximization and Minimization with Mixed Problem Constraints Chapter 6 Review Review Exercises 7. Logic, Sets, and Counting 7.1 Logic 7.2 Sets 7.3 Basic Counting Principles 7.4 Permutations and Combinations Chapter 7 Review Review Exercises 8. Probability 8.1 Sample Spaces, Events, and Probability 8.2 Union, Intersection, and Complement of Events; Odds 8.3 Conditional Probability, Intersection, and Independence 8.4 Bayes' Formula 8.5 Random Variables, Probability Distribution, and Expected Value Chapter 8 Review Review Exercises 9. Markov Chains 9.1 Properties of Markov Chains 9.2 Regular Markov Chains 9.3 Absorbing Markov Chains Chapter 9 Review Review Exercises 10. Games and Decisions 10.1 Strictly Determined Games 10.2 Mixed Strategy Games 10.3 Linear Programming and 2 x 2 Games—Geometric Approach 10.4 Linear Programming and m x n Games—Simplex Method and the Dual Chapter 10 Review Review Exercises 11. Data Description and Probability Distributions 11.1 Graphing Data 11.2 Measures of Central Tendency 11.3 Measures of Dispersion 11.4 Bernoulli Trials and Binomial Distributions 11.5 Normal Distributions Chapter 11 Review Review Exercises APPENDICES A. Basic Algebra Review A.1 Algebra and Real Numbers A.2 Operations on Polynomials A.3 Factoring Polynomials A.4 Operations on Rational Expressions A.5 Integer Exponents and Scientific Notation A.6 Rational Exponents and Radicals A.7 Quadratic Equations B. Special Topics B.1 Sequences, Series, and Summation Notation B.2 Arithmetic and Geometric Sequences B.3 Binomial Theorem C. Tables Table I. Area Under the Standard Normal Curve Table II. Basic Geometric Formulas Answers Index Table of Contents
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