Washington University, St. LouisEngineering

Graduate Courses

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Dept # Course Name :  [Course Description On]  Credits
ESE 500 Independent Study 3
  Opportunities for graduate students to explore possible areas of interest with individual faculty members. Coordinated study programs dealing with areas not covered by formal course work are possible. Independent study credit can be changed to research credit (ESE 599) any time during the semester if enrollment is appropriate. A final report is required to be submitted to the Department. 
ESE 502 Mathematics of Modern Engineering II 3
  Techniques of solving ordinary differential equations with constant coefficients, Laplace's Transform, solutions for the heat and wave equations, Laplace's Equation, Legendre and Bessel Function, Introduction to function of a complex variable, conformal mapping, contour integrals. Prerequisite: ESE 317 or equivalent, or consent of instructor. This course will not count toward the ESE doctoral program. 
ESE 517 Partial Differential Equations 3
  Linear and nonlinear first order equations. Characteristics. Classification of equations. Theory of the potential linear and nonlinear diffusion theory. Linear and nonlinear wave equations. Initial and boundary value problems. Transform methods. Integral equations in boundary value problems. Prerequisite: ESE 317 or equivalent or consent of instructor. 
ESE 518 Optimization Methods in Control 3
  The course will be divided in two parts: convex optimization and optimal control. In the first part we will cover applications of Linear Matrix Inequalities and Semi-Definite Programming to control and estimation problems. We will also cover Multiparametric Linear Programming and its application to the Model Predictive Control and Estimation of linear systems. In the second part we will cover numerical methods to solve optimal control and estimation problems. We will cover techniques to discretize optimal control problems, numerical methods to solve them, and their optimality conditions. We will apply these results to the Model Predictive Control and Estimation of nonlinear systems. Prerequisites: ESE 551, and ESE 415 or equivalent. 
ESE 524 Detection and Estimation Theory 3
  Study of detection, estimation and modulation theory, detection of signals in noise, estimation of signal parameters, linear estimation theory. Kalman-Bucy and Wiener filters, nonlinear modulation theory, optimum angle modulation. Prerequisite: ESE 520. 
ESE 531 Nano and Micro Photonics 3
  This course focuses on theory, design, fabrication and application of photonic materials and micro/nano photonic devices. Interaction of light and matter, propagation of light in waveguide, nonlinear optical effect and optical properties of nano/micro structure, the device principles of silicon-based waveguide, filter, photodetector, modulator and laser devices. Prerequisite: ESE 330. 
ESE 534 Special Topics in Advanced Electrodynamics 3
  This course covers advanced topics in electrodynamics. Topics include electromagnetic wave propagation (in free space, confined waveguides, or along engineered surfaces); electromagnetic wave scattering (off nano-particles or molecules); electromagnetic wave generation and detection (antenna and nano-antenna); inverse scattering problems; and numerical and approximate methods. Prerequisite: ESE 330, or Physics 421 and 422 
ESE 547 Robust and Adaptive Control 3
  This course is a graduate level course taught in two parts. Part 1 covers frequency domain analysis of multivariable systems, robustness theory and structured singular value mu analysis, linear quadratic optimal control system design using state and output feedback architectures, H-infinity optimal control, LQG/LTR, and output feedback projective controls. Part 2 covers the design of direct model reference adaptive controllers for uncertain nonlinear systems, Lyapunov stability theory, Barbalat lemma, neural networks, state feedback model reference adaptive control, and adaptive observer-based loop transfer recovery output feedback. Homework and computer design projects use aerospace examples. The adaptive controllers are developed to be an increment added to the robust control baseline architecture (covered in part 1).Prerequisite: ESE 543 Control Systems Design by State Space Methods or ESE 551 Linear Dynamic Systems or equivalent 
ESE 553 Nonlinear Dynamic Systems 3
  State space and functional analysis approaches to nonlinear systems. Questions of existence, uniqueness, and stability; Lyapunov and frequency-domain criteria; w-limits and invariance, center manifold theory and applications to stability, steady state response and singular perturbations. Poincare-Bendixson theory, the van der Pol oscillator and the Hopf Bifurcation theorem. Prerequisite: ESE 551. 
ESE 560 Computer Systems Architecture I 3
ESE 568 Imaging Sensors 3
  his course will cover topics on digital imaging sensors including basic operations of silicon photodetectors; CCD and CMOS passive and active sensor operation; temporal and spatial noise in CMOS sensors; spatial resolution and MTF; SNR and dynamic range; high dynamic range architectures and application specific imaging sensors such as polarization imaging and fluorescent imaging sensors. 
ESE 589 Biological Imaging Technology 3
  This class will develop a fundamental understanding of the physics and mathematical methods that underlie biological imaging and critically examine case studies of seminal biological imaging technology literature. The physics section will examine how electromagnetic and acoustic waves interact with tissues and cells, how waves can be used to image the biological structure and function, image formation methods and diffraction limited imaging. The math section will examine image decomposition using basis functions (e.g. fourier transforms), synthesis of measurement data, image analysis for feature extraction, reduction of multi-dimensional imaging datasets, multivariate regression, and statistical image analysis. Original literature on electron, confocal and two photon microscopy, ultrasound, computed tomography, functional and structural magnetic resonance imaging and other emerging imaging technology will be critiqued. 
ESE 590 Electrical & Systems Engineering Graduate Seminar 0
  This satisfactory/unsatisfactory course is required for the M.Sc., D.Sc. and Ph.D. degrees in Electrical and Systems Engineering. A passing grade is required for each semester of enrollment and is received by attendance at regularly scheduled ESE seminars. M.Sc. students must attend at least 4 seminars per semester. D.Sc. and Ph.D. students must attend at least 7 seminars per semester. Part-time students are exempt except during their year of residency. Any student under continuing status is also exempt. Seminars missed in a given semester may be made up during the subsequent semester. 
ESE 599 Masters Research 3
ESE 600 Doctoral Research 9
ESE 883 Masters Continuing Student Status 0
ESE 884 Doctoral Continuing Student Status 0
ESE 885 Masters Nonresident 0
ESE 886 Doctoral Nonresident 0

Washington University in St. Louis School of Engineering & Applied Science, Department of Electrical & Systems Engineering

Green Hall, CB 1042, 1 Brookings Drive, Saint Louis, MO, USA 63130
Phone: (314) 935-5565, Fax: (314) 935-7500

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