Concentrates on recognizing and solving convex optimization problems that arise in applications. Convex sets, functions, and optimization problems. Basics of convex analysis. Least-squares, linear and quadratic programs, semidefinite programming, minimax, extremal volume, and other problems. Optimality conditions, duality theory, theorems of alternative, and applications. Interior-point methods. Applications to signal processing, statistics and machine learning, control and mechanical engineering, digital and analog circuit design, and finance. Prerequisites: Math 309 and ESE 415.
If admission to the PhD program directly from the baccalaureate degree is requested, a 3.25 GPA on the last 60 relevant hours of a baccalaureate degree in mechanical or aerospace engineering or in a related field replaces the 3.25 GPA requirement on graduate course work.
E35 ESE 590 Electrical & Systems Engineering Graduate Seminar
This option is intended for those pursuing full-time study and engaged in research projects. Candidates for this degree must complete a minimum of 24 credit hours of course instruction and six (6) credit hours of thesis research (). These six (6) credit hours of thesis research can be counted as part of the 15 graduate-level electrical engineering credit hours for the MSEE program and as part of electives for the MSSSM, MSDAS, MCEng and MEngR programs. The student must write a master's thesis and defend it in an oral examination.
Process Systems Engineering MSc - Cranfield University
Introduction to photon transport in nano-photonic devices. This course focuses on the following topics: light and photons, statistical properties of photon sources, temporal and spatial correlations, light-matter interactions, optical nonlinearity, atoms and quantum dots, single- and two-photon devices, optical devices, and applications of nano-photonic devices in quantum and classical computing and communication. Prerequisites: ESE 330 and Physics 217, or permission of instructor.
Master of Science in Systems Engineering | UA Online
The Imaging Science and Engineering certificate program is built on the strengths in imaging science throughout the university; this multidisciplinary program is constructed to expose students to the breadth of imaging research activities at Washington University. There has been an explosion of both increased bandwidth of existing imaging systems and new sensing modalities. The increase in bandwidth from sensors drives innovations in computing, image reconstruction, and image understanding. New sensing modalities present unique opportunities for young researchers to make fundamental contributions.
Students and Alumni | Systems Engineering
Washington University has been a leader in imaging science research for over four decades, with many new medical imaging modalities, advanced applications in planetary science, and fundamental theory having been developed here. The Imaging Sciences Pathway in the Division of Biology and Biological Sciences in Arts & Sciences is jointly administered with the School of Engineering & Applied Science, with students pursuing degrees in departments across the university. The Imaging Science and Engineering (IS&E) certificate program complements the Imaging Sciences Pathway for students in the departments of Electrical & Systems Engineering, Computer Science & Engineering, Biomedical Engineering, and Physics. Upon completion of both the graduate degree sought and the requirements of the program, the student's transcript will include the certificate. Each department has its own requirements, but all include the Imaging Science and Engineering Seminar. The program is flexible, so students are encouraged to appeal to the program director to identify individualized programs.