MATH 220
    
    COURSE DESCRIPTION: Matrices (2:2:0) Systems of linear equations; matrix
    algebra; eigenvalues and eigenvectors: linear systems of differential
    equations.
    
    PREREQUISITE: Math 110 or 140.
    
                                 TOPICS

    SYSTEMS OF LINEAR EQUATIONS AND MATRICES
    Introduction to Systems of Linear Equations
    Gaussian Elimination
    Matrices and Matrix Operations
    Inverses; Rules of Matrix Arithmetic
    Elementary Matrices; A Method for Finding Inverses
    Further Results on Systems of Equations and Invertibility
    Diagonal, Triangular, and Symmetric Matrices

    DETERMINANTS
    The Determinant Function
    Evaluating Determinants by Row Reduction
    Properties of the Determinant Function

    VECTORS IN 2-SPACE AND 3-SPACE
    Introduction to Vectors (Geometric)
    Norm of a Vector; Vector Arithmetic
        
    EUCLIDEAN VECTOR SPACES
    Euclidean n-Space
    Linear Transformations
    Properties of Linear Transformation
    
    GENERAL VECTOR SPACES
    Real Vector Spaces
    Subspaces
    Linear Independence
    Bases and Dimension
    Row Space, Column Space, and Nullspace
    Rank and Nullity
    
    EIGENVALUES AND EIGENVECTORS
      (Note:  Consider only the case of distinct real eigenvalues.)
    Eigenvalues and Eigenvectors 
    Diagonalization
   
    
    12/16/94