Engineering Mathematics

Catalog description

This course covers ordinary and partial differential equations, linear algebra, numerical methods, special functions, vector calculus, Fourier methods, and complex analysis. These methods will prepare the student for a wide breadth of Mechanical Engineering research and applications in the sub-disciplines of - fluid and thermal sciences, - mechanical sciences, - dynamics, sensors and controls, - transportation systems, - design and manufacturing, - energy systems, and - biomedicine. After successfully completing this course, students will be able to synthesize important elements of Applied Mathematics to research endeavors in Mechanical Engineering. Broadly, they will be able to solve Engineering Mathematics problems using ordinary and partial differential equation methods, vector calculus, linear algebra, numerical methods, spectral methods, special functions, integral transform methods, symbolic mathematics, and complex analysis. The breadth and depth of coverage of ME 544 provides the student with the theoretical framework to synthesize numerous relevant advanced mathematics topics in their research and future scholarly and career activities in Mechanical Engineering. Six of the nine modules in 544 include brief review content introduced at the undergraduate level. 544 significantly extends the breadth and depth of these treatments. Topics not treated at the undergraduate level are incorporated in each module. Applications specific to research activities within Mechanical Engineering are emphasized in lecture examples and assignments.