MATH 620 - Applied Linear Algebra

Units: 4
Vector spaces, basis, matrices (unitary and Hermitian), linear independence and span (rank\nullity), determinants, invertibility, matrix factorizations, eigenvalues and eigenvectors, perturbation of eigenvalues, theory of iterative methods and approximation of eigenvalues. An emphasis on theory.

Prerequisites: MATH 215.
Possible Instructional Methods: On-ground.
Grading: A-F grading only.
Student Learning Outcomes - Upon successful completion of this course students will be able to:

Evaluate and create proofs in graduate level algebra using the fundamental definitions and theorems.
Create solutions to problems using techniques in graduate level algebra.
Communicate graduate level algebra effectively.