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Course Outline:

  1. Vector Spaces
    1. Definitions and Examples
    2. Subspaces
    3. Linear Independence
    4. Bases and Finite-Dimensional Vector Spaces
    5. Important Theorems
  2. Linear Transformations
    1. Definitions and Examples
    2. Kernal and Image
    3. Useful Theorems
    4. Isomorphism
    5. Matrix Representation
  3. Systems of Linear Equations
    1. Definition and Basics
    2. Gauss-Jordan Elimination
    3. Applications
    4. Matrix Representations
  4. Determinants
    1. Calculation
    2. Properties
    3. Relation to Invertibility
    4. Theorems
  5. Eigenvalues and Eigenvectors
    1. Definitions and Examples
    2. Characteristic Polynomial
    3. Connections to Differential Equations
    4. Diagonalization
See the course calendar for details concerning exams and problem sets.


[HOME] Math 340 (Winter 2008) web pages
Created: 06 Jan 2008
Last modified: Jan 6, 2008 1:09:51 PM
Comments to: dpvc@union.edu
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