MATH 18
    
    COURSE DESCRIPTION: Elementary Linear AIgebra (3:3:0) Matrices and
    vectors; transformations; systems of linear equations; convex sets and 
    linear programming.

    
    PREREQUISITE: 2 units of high school mathematics.
    
    
    FUNDAMENTALS OF MATRICES
    What is a Matrix?
    Special Types and Terminology of Matrices
    Matrix Operations
    Laws of Matrix Operations and Their Applications
    More About Matrix Operations
    Elementary Row and Column Operations
    Business Applications
    
    DETERMINANTS
    Determinants of Orders 1, 2, and 3
    General Definition of the Determinant
    Properties of the Determinant
    Evaluation of the Determinant with a General Order
    
    SETS OF LINEAR EQUATIONS
    Cramer's Method
    Singularity of a Set of Linear Equations
    The Gaussian Elimination Method
    Existence and Uniqueness of a Solution
    Applications of Sets of Linear Equations
    Rank and Linear Dependence
    
    INVERSE MATRICES
    Inverse Matrices
    Evaluation of an Inverse
    Solving a set of Linear Equations Using an Inverse

    FORMULATION OF LINEAR PROGRAMMING PROBLEMS
    Linear Programming Formulation
    Linear Programming Problems
    
    THE GRAPHIC METHOD
    Review of Graphs
    The Graphic Method for Linear Programming
    Peculiar Situations in Linear Programming
    Convex Regions and the Extreme Point Theorem

    THE SIMPLEX METHOD
    The Simplex Method Algorithm for Maximizing Problems
    An Extension of the Algorithm for Minimizing Problems
    Sensitivity Analysis
    Game Theory
    
    8/13/92