R. Algebra Reference | |
Polynomials | |
Factoring | |
Rational Expressions | |
Equations | |
Inequalities | |
Exponents | |
Radicals | |
Linear Functions | |
Slope and Equations of a Line | |
Linear Functions | |
Linear Mathematical Models | |
Constructing a Mathematical Model | |
Review Exercises | |
Extended Application: Using Marginal Cost to Estimate the Cost of Educating Immigrants | |
Extended Application: Depreciation | |
Systems of Linear Equations and Matrices | |
Solution of Linear Systems by the Echelon Method | |
Solution of Linear Systems by the Gauss-Jordan Method | |
Addition and Subtraction of Matrices | |
Multiplication of Matrices | |
Matrix Inverses | |
Input-Output Models | |
Review Exercises | |
Extended Application: Contagion | |
Linear Programming: The Graphical Method | |
Graphing Linear Inequalities | |
Solving Linear Programming Problems Graphically | |
Applications of Linear Programming | |
Review Exercises | |
Linear Programming: The Simplex Method | |
Slack Variables and the Pivot | |
Maximization Problems | |
Minimization Problems; Duality | |
Nonstandard Problems | |
Review Exercises | |
Extended Application: A Minimum Cost Balanced Organic Fertilizer Mix | |
Mathematics of Finance | |
Simple and Compound Interest | |
Future Value of an Annuity | |
Present Value of an Annuity; Amortization | |
A Strategy for Solving Finance Problems | |
Review Exercises | |
Extended Application: Time, Money, and Polynomials | |
Sets and Probability | |
Sets | |
Applications of Venn Diagrams | |
Introduction to Probability | |
Basic Concepts of Probability | |
Conditional Probability; Independent Events | |
Bayes' Theorem | |
Probability Summary | |
Review Exercises | |
Extended Application: Medical Diagnosis | |
Counting Principles; Further Probability Topics | |
The Multiplication Principle; Permutations | |
Combinations | |
Probability Applications of Counting Principles | |
Binomial Probability | |
Probability Distributions; Expected Value | |
Review Exercises | |
Extended Application: Optimal Inventory for a Service Truck | |
Statistics | |
Frequency Distributions; Measures of Central Tendency | |
Measures of Variation | |
The Normal Distribution | |
Normal Approximation to the Binomial Distribution | |
Review Exercises | |
Markov Chains | |
Basic Properties of Markov Chains | |
Regular Markov Chains | |
Absorbing Markov Chains | |
Review Exercises | |
Extended Application: Cavities and Restoration | |
Game Theory | |
Strictly Determined Games | |
Mixed Strategies | |
Game Theory and Linear Programming | |
Review Exercises | |
Extended Application: Decision Making in the Military | |
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