1. Ma 162 Finite Math Fall 2006 Review Topics: linear models systems of linear equations Matrix methods linear optimization: graphical and simplex methods maximization problems minimization problems. Duality theorem. business math: Interest counting problems and probability problems.

2. Plane Analytic geometry: coordinate system, quadrants, distance function. Solution set of an equation in two variables. Lines: vertical, horizontal, nonvertical, Solution set of an inequality in two variables Half planes. Intersections of half planes. Linear functions

3. Linear Models Cost, Revenue, Breakeven analysis Linear supply and demand in a competitive free market. Equilibrium price.

4. Linear system of equations. Solution set. Consistent system An inconsistent system overdetermined system Undetermined system

5. Gaussian elimination: Row operations Augmented matrix of a system: Row echelon form Reduced row echelon form

6. Matrix equation form of a system Matrix multiplication, addition, Interpretation of matrix multiplication, inverse of a nonsingular matrix

7. Linear optimization:

8. Linear optimization: Maximize Subject to :

9. Simplex algorithm for standard maximization problems.

10. Duality theorem.