Finite Mathematics and Calculus with Applications

<p>R. Algebra Reference</p> <p>R.1 Polynomials</p> <p>R.2 Factoring</p> <p>R.3 Rational Expressions</p> <p>R.4 Equations</p> <p>R.5 Inequalities</p> <p>R.6 Exponents</p> <p>R.7 Radicals</p> <p>&nbsp;</p> <p>1. Linear Functions</p> <p>1.1 Slopes and Equations of Lines</p> <p>1.2 Linear Functions and Applications</p> <p>1.3 The Least Squares Line</p> <p>Chapter 1 Review</p> <p>Extended Application: Using Extrapolation to Predict Life Expectancy</p> <p>&nbsp;</p> <p>2. Systems of Linear Equations and Matrices</p> <p>2.1 Solution of Linear Systems by the Echelon Method</p> <p>2.2 Solution of Linear Systems by the Gauss-Jordan Method</p> <p>2.3 Addition and Subtraction of Matrices</p> <p>2.4 Multiplication of Matrices</p> <p>2.5 Matrix Inverses</p> <p>2.6 Input-Output Models</p> <p>Chapter 2 Review</p> <p>Extended Application: Contagion</p> <p>&nbsp;</p> <p>3. Linear Programming: The Graphical Method</p> <p>3.1 Graphing Linear Inequalities</p> <p>3.2 Solving Linear Programming Problems Graphically</p> <p>3.3 Applications of Linear Programming</p> <p>Chapter 3 Review</p> <p>Extended Application: Sensitivity Analysis</p> <p>&nbsp;</p> <p>4. Linear Programming: The Simplex Method</p> <p>4.1 Slack Variables and the Pivot</p> <p>4.2 Maximization Problems</p> <p>4.3 Minimization Problems; Duality</p> <p>4.4 Nonstandard Problems</p> <p>Chapter 4 Review</p> <p>Extended Application: Using Integer Programming in the Stock-Cutting Problem</p> <p>&nbsp;</p> <p>5. Mathematics of Finance</p> <p>5.1 Simple and Compound Interest</p> <p>5.2 Future Value of an Annuity</p> <p>5.3 Present Value of an Annuity; Amortization</p> <p>Chapter 5 Review</p> <p>Extended Application: Time, Money, and Polynomials</p> <p>&nbsp;</p> <p>6. Logic</p> <p>6.1 Statements</p> <p>6.2 Truth Tables and Equivalent Statements</p> <p>6.3 The Conditional and Circuits</p> <p>6.4 More on the Conditional</p> <p>6.5 Analyzing Arguments and Proofs</p> <p>6.6 Analyzing Arguments with Quantifiers</p> <p>Chapter 6 Review</p> <p>Extended Application: Logic Puzzles</p> <p>&nbsp;</p> <p>7. Sets and Probability</p> <p>7.1 Sets</p> <p>7.2 Applications of Venn Diagrams</p> <p>7.3 Introduction to Probability</p> <p>7.4 Basic Concepts of Probability</p> <p>7.5 Conditional Probability; Independent Events</p> <p>7.6 Bayes' Theorem</p> <p>Chapter 7 Review</p> <p>Extended Application: Medical Diagnosis</p> <p>&nbsp;</p> <p>8. Counting Principles; Further Probability Topics</p> <p>8.1 The Multiplication Principle; Permutations</p> <p>8.2 Combinations</p> <p>8.3 Probability Applications of Counting Principles</p> <p>8.4 Binomial Probability</p> <p>8.5 Probability Distributions; Expected Value</p> <p>Chapter 8 Review</p> <p>Extended Application: Optimal Inventory for a Service Truck</p> <p>&nbsp;</p> <p>9. Statistics</p> <p>9.1 Frequency Distributions; Measures of Central Tendency</p> <p>9.2 Measures of Variation</p> <p>9.3 The Normal Distribution</p> <p>9.4 Normal Approximation to the Binomial Distribution</p> <p>Chapter 9 Review</p> <p>Extended Application: Statistics in the Law - The Castaneda Decision</p> <p>&nbsp;</p> <p>10. Nonlinear Functions</p> <p>10.1 Properties of Functions</p> <p>10.2 Quadratic Functions; Translation and Reflection</p> <p>10.3 Polynomial and Rational Functions</p> <p>10.4 Exponential Functions</p> <p>10.5 Logarithmic Functions</p> <p>10.6 Applications: Growth and Decay; Mathematics of Finance</p> <p>Chapter 10 Review</p> <p>Extended Application: Characteristics of the Monkeyface Prickleback</p> <p>&nbsp;</p> <p>11. The Derivative</p> <p>11.1 Limits</p> <p>11.2 Continuity</p> <p>11.3 Rates of Change</p> <p>11.4 Definition of the Derivative</p> <p>11.5 Graphical Differentiation</p> <p>Chapter 11 Review</p> <p>Extended Application: A Model for Drugs Administered Intravenously</p> <p>&nbsp;</p> <p>12. Calculating the Derivative</p> <p>12.1 Techniques for Finding Derivatives</p> <p>12.2 Derivatives of Products and Quotients</p> <p>12.3 The Chain Rule</p> <p>12.4 Derivatives of Exponential Fun</p>