Part I. ALGEBRA0. Review of Algebra0.1 Sets of Real Numbers0.2 Some Properties of Real Numbers0.3 Exponents and Radicals0.4 Operations with Algebraic Expressions0.5 Factoring0.6 Fractions0.7 Equations, in Particular Linear, Equations0.8 Quadratic Equations 1. Applications and More Algebra1.1 Applications of Equations1.2 Linear Inequalities1.3 Applications of Inequalities1.4 Absolute Value1.5 Summation Notation1.6 Sequences 2. Functions and Graphs2.1 Functions2.2 Special Functions2.3 Combinations of Functions2.4 Inverse Functions2.5 Graphs in Rectangular Coordinates2.6 Symmetry2.7 Translations and Reflections2.8 Functions of Several Variables 3. Lines, Parabolas, and Systems3.1 Lines3.2 Applications and Linear Functions3.3 Quadratic Functions3.4 Systems of Linear Equations3.5 Nonlinear Systems3.6 Applications of Systems of Equations 4. Exponential and Logarithmic Functions4.1 Exponential Functions4.2 Logarithmic Functions4.3 Properties of Logarithms4.4 Logarithmic and Exponential Equations Part II. FINITE MATHEMATICS5. Mathematics of Finance5.1 Compound Interest5.2 Present Value5.3 Interest Compounded Continuously5.4 Annuities5.5 Amortization of Loans5.6 Perpetuities 6. Matrix Algebra6.1 Matrices6.2 Matrix Addition and Scalar Multiplication6.3 Matrix Multiplication6.4 Solving Systems by Reducing Matrices6.5 Solving Systems by Reducing Matrices (continued)6.6 Inverses6.7 Leontief's Input-Output Analysis 7. Linear Programming7.1 Linear Inequalities in Two Variables7.2 Linear Programming7.3 Multiple Optimum Solutions7.4 The Simplex Method7.5 Degeneracy, Unbounded Solutions, and Multiple Solutions7.6 Artificial Variables7.7 Minimization7.8 The Dual 8. Introduction to Probability and Statistics8.1 Basic Counting Principle and Permutations
