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MAT 253 - Linear Algebra


Credits: 3
3 Lecture Hours

Prerequisites: MAT 202  
 
Description
This introductory course focuses on the theory and techniques of linear algebra. Topics include vectors in n-dimensional space, matrix theory, systems of linear equations, vector space theory, linear transformations, eigenvalues and eigenvectors and inner product spaces.
Learning Outcomes
Upon successful completion of the course, the student will:

  1. Perform basic operations with vectors in n-dimensional space.
  2. Perform basic operations with matrices.
  3. Solve a system of m linear equations in n unknowns.
  4. Prove basic theorems in a vector space.
  5. Perform basic operations with vectors in the standard matrix spaces and function spaces.
  6. Prove that a transformation between vector spaces is linear.
  7. Find the matrix representation of a linear transformation between two vector spaces.
  8. Find the eigenvalues and eigenvectors for a given matrix.
  9. Perform basic operations in an product space.
  10. Prove basic theorems in an inner product space.
Listed Topics
  1. Vectors operations in n-dimensional space
  2. Matrix theory
  3. Linear systems
  4. Vector Space Theory
  5. Linear Transformations
  6. Eigenvalues and Eigenvectors
  7. Inner Product Spaces
Reference Materials
An instructor adopted textbook and materials.
Approved By: Johnson, Alex Date Approved: 03/29/2010


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