ME 564: Mechanical Engineering Analysis (Fall 2014, University of Washington). Instructor: Professor Steven Brunton. Ordinary differential equations. Numerical calculus and ODEs. Linear algebra and vector calculus.
This course will provide an in-depth overview of powerful mathematical techniques for the analysis of engineering systems. In addition to developing core analytical capabilities, students will gain proficiency with various computational approaches used to solve these problems. Applications will be emphasized, including fluid mechanics, elasticity and vibrations, weather and climate systems, epidemiology, space mission design, and applications in control.
(from washington.edu)
Lecture 06 - Matrix Systems of First Order Equations using Eigenvectors and Eigenvalues