Advanced math topics including Laplace, Fourier and z-Transform methods, probability theory, ordinary differential equations and systems of ODEs, partial differential equations, vector calculus, elements of statistics, linear and non-linear optimization, matrix theory, and special functions like Bessel, Legendre, and gamma. This course is set up as modules. Students will be required to complete certain modules depending on their background and concentrations.

Introduction to computational methods in design and analysis of materials, processes, and systems related to advanced manufacturing and energy systems. Topics covered include computational materials, process simulation, computational fluid dynamics, finite element analysis, and manufacturing process simulation.

Development of the advanced communication skills as well as the information management required of engineers and engineering managers in industry, government and business. Focus on the design and writing of technical reports, articles, proposals, and the memoranda that address the needs of diverse organizational and professional audiences; the preparation and delivery of organizational and technical oral and multimedia presentations and briefings; team building skills with an emphasis on communications; and knowledge management.

Introduction to foundational concepts and methods of smart manufacturing and green manufacturing. Discusses the impacts of smart technologies and initiatives such as Industry 4.0 in Europe, National Network of Manufacturing Innovation Institutes established in the U.S., and Made-in-China 2025 on manufacturing. Includes the architecture of smart manufacturing, sensing technology, internet-of-things, cloud manufacturing/manufacturing as a service, basic data analytics for diagnosis and prognosis in manufacturing. Covers fundamental issues in green manufacturing, such as the metrics, principles, and societal/business/policy impacts, as well as fundamental methods such as lifecycle assessment and sustainability assessment of manufacturing.

Classroom and/or laboratory courses in special topics as announced in advance for each semester. The field of study or investigation is to be approved by the Program Director before announcement of the course.