MATH 220: Linear Algebra

Download as PDF
Class Program
Mathematics
Distribution
Symbolic or Quantitative Reasoning,
Math/Science Non-Laboratory
Credits 5 Lecture Hours 55
A study of matrix algebra and systems of equations, abstract vector spaces including basis and dimension, linear transformations, eigenvalues and eigenvectors.

Prerequisites

MATH& 152 or instructor permission
Quarters Offered
Winter
Course Outcomes

Upon successful completion of the course, students should be able to demonstrate the following knowledge or skills:

  1. Solve simultaneous systems of equations using reduction and matrix methods
  2. Prove mathematical theorems of an abstract nature
  3. Apply the concepts of linear transformations, eigenvalues, and eigenvectors
  4. Solve problems requiring the application of matrix methods and abstract linear spaces
Institutional Outcomes
IO2 Quantitative Reasoning: Students will be able to reason mathematically.
Course Content Outline
  1. Matrices and systems of equations
    1. Solutions of systems of equations using Gauss/Jordan method
    2. Solutions of systems of equations using matrices and matrix inverses
    3. Rank of a matrix
    4. Solution space of a matrix
  2. Applications of matrices
    1. Markov Chains
    2. Equilibrium networks
    3. Production planning: Leontiff models
    4. Linear programming
  3. Abstract Vector Spaces
    1. Vector spaces and subspaces
    2. Basis and dimension
    3. Orthogonally and orthogonal bases
    4. Linear transformations
  4. Eigenvalues and Eigenvectors