Linear Algebra with Application to Engineering Computations

Description

In this course, you will learn to solve matrix-vector systems and about direct and iterative solvers for non-singular linear systems of equations--their accuracy, convergence properties, and computational efficiency. The course will cover under- and over-determined systems, and nonlinear systems of equations, as well as eigenvalues, eigenvectors, and singular values--their application to engineering problems.

 Please note that this course is cross listed with CME200

Prerequisites

• Familiarity with computer programming, and CME100/MATH51 or equivalent.
• An undergraduate GPA of 3.3 or better.

Topics include

• Gaussian elimination
• Effect of round-off error
• Operation counts
• Ill-conditioned, similar, unitary and Hermitian matrices
• Positive definiteness
• Cayley-Hamilton Theory
• Least square solution of unsolvable systems
• Matrix theory

Course Availability

The course schedule is displayed for planning purposes – courses can be modified, changed, or cancelled. Course availability will be considered finalized on the first day of open enrollment. For quarterly enrollment dates, please refer to our graduate education section.