Mechanical Engineering MS - Curriculum

This course trains students to utilize mathematical techniques from an engineering perspective, and provides essential background for success in graduate level studies. An intensive review of linear and nonlinear ordinary differential equations and Laplace transforms is provided. Laplace transform methods are extended to boundary-value problems and applications to control theory are discussed. Problem solving efficiency is stressed, and to this end, the utility of various available techniques are contrasted. The frequency response of ordinary differential equations is discussed extensively. Applications of linear algebra are examined, including the use of eigenvalue analysis in the solution of linear systems and in multivariate optimization. An introduction to Fourier analysis is also provided. (Prerequisites: (MATH-241 and MATH-326) or graduate student standing in the MECE-MS or MECE-ME programs.) Lecture 3 (Fall, Spring).

Advanced Engineering Mathematics provides the foundations for complex functions, vector calculus and advanced linear algebra and its applications in analyzing and solving a variety of mechanical engineering problems especially in the areas of mechanics, continuum mechanics, fluid dynamics, heat transfer, and vibrations. Topics include: vector algebra, vector calculus, functions of complex variables, ordinary differential equations and local stability, advanced matrix algebra, and partial differential equations. Mechanical engineering applications will be discussed throughout the course. (Prerequisites: MECE-707 or equivalent course or graduate student standing in MECE-MS or MECE-ME.) Lecture 3 (Fall, Spring).

This seminar course presents topics of contemporary interest to graduate students enrolled in the program. Presentations include off campus speakers, and assistance with progressing on your research. Selected students and faculty may make presentations on current research under way in the department. All graduate students enrolled full time (whether dual degree or single degree) are required to attend a designated number of seminars. (This course is restricted to MECEMS-U or MECE-MS or MECE-ME or MECEME-U Major students.) Seminar 1 (Fall, Spring).

Thesis In conference with an adviser, a topic is chosen. Periodic progress reports and a final written document with an oral examination are required. (Enrollment in this course requires permission from the department offering the course.) Thesis (Fall, Spring, Summer).