Course Description

An Introduction to linear algebra that compliments advanced courses in calculus. Topics include systems of linear equations, matrix operations, determinants, vectors and vector spaces, eigenvalues and eigenvectors, and linear transformations. With orthogonality, inner product spaces, and numerical methods if time permits.

Student Learning Outcomes

The student will be able to
  1. Use techniques of Linear Algebra to solve systems of linear equations.
  2. Apply eigenvalues and eigenvectors to problems of dynamical systems.

Course Content

The following topics will be covered in lecture
  1. Linear Equations in Linear Algebra
  2. Matrix Algebra
  3. Determinants
  4. Vector Spaces
  5. Eigenvalues and Eigenvectors
  6. Orthogonality and Least Squares