INTRODUCTION TO LINEAR ALGEBRA
MATH 361
Southwestern   
Adventist University 
 
   Distance Education Lawrence E. Turner, Jr., Ph.D.  


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COURSE SYLLABUS


V.     OUTLINE

The material will cover chapters 1 through 6 of the text.
  1. Introduction
    1. Course requirements
    2. Grading
  2. Linear Equations
    1. Graphical solution
    2. Gaussian Elimination
    3. Matrices
      1. dimensions
      2. operations
    4. Triangular matrices
    5. Inverse
    6. Transpose
  3. Vector Spaces
    1. Vector Spaces
    2. Subspaces
    3. Linear Independence
    4. Basis
    5. Networks
    6. Incidence matrices
    7. Linear transforms
  4. Orthogonality
    1. Perpendicular vectors
    2. Orthogonal subspaces
    3. Inner products
    4. Projections
    5. Least squares
    6. Orthogonal bases
      1. matrices
      2. gram-schmidt orthogonalization
    7. Fast Fourier transform
  5. Determinants
    1. Properties
    2. Linear equations
    3. Applications
  6. Eigenvalues and Eigenvectors
    1. Diagonal matrix
    2. Difference equations
    3. Differential equations
    4. Complex matrices
      1. symmetric
      2. hermitian
      3. orthogonal
      4. unitary
    5. Similarity transformations
  7. Positive Definite Matrices
    1. Extrema
      1. minima
      2. maxima
      3. saddle points
    2. Tests
    3. Semidefinite matrices
    4. Indefinite matrices


 
© 1999, 2000, 2001, 2002, 2003 by Lawrence Turner