Ph.D. Electrical Engineering

COS 516 Automated Reasoning about Software (also

ELE 516

) An introduction to algorithmic techniques for reasoning about software. Basic concepts in logic-based techniques including model checking, invariant generation, symbolic execution, and syntax-guided synthesis; automatic decision procedures in modern solvers for Boolean Satisfiability (SAT) and Satisfiability Modulo Theory (SMT); and their applications in automated verification, analysis, and synthesis of software. Emphasis on algorithms and automatic tools.

COS 583 Great Moments in Computing (also

ELE 583

) Course covers pivotal developments in computing, including hardware, software, and theory. Material will be covered by reading seminal papers, patents, and descriptions of highly-influential architectures. Course emphasizes a deep understanding of the discoveries and inventions that brought computer systems to where they are today, and class is discussion-oriented. Final project or paper required. Graduate students and advanced undergraduates from ELE, COS, and related fields welcome.

EGR 501 Responsible Conduct in Research: A Course on Ethics in Engineering (Half-term) (also

ELE 501

) This course educates the graduate student of engineering in the responsible conduct of research. The lectures provide theoretical background information as well as case studies about ethics in day-to-day research situations, in publishing and peer-review, in student-advisor relationships, in collaborative research, as well as in the big picture and considerations of long-term impact. The students are provided with resources to consult in ethical questions. In small-group discussions in departmental and research field-specific precepts, the theoretical concepts are made relevant to the individual students situations.

ELE 504 Mixed-signal Circuits and Systems Discuss design and simulation methodologies for realizing robust analog CMOS circuits implementing major building blocks in AID converters. With attention to design specifications, a comprehensive study of single-ended and differential op-amp topologies are covered with an emphasis on: feedback and stability; linear and non-linear settling; distortion; noise; and voltage swing. Conclude with switched-capacitor circuits exploring impact of non-linearity and noise in sampled systems. Design projects using circuit simulators reinforce theoretical concepts.

ELE 511 Quantum Mechanics with Applications This course covers the principles of quantum mechanics, including applications of relevance to students in applied physics, materials science and engineering. Topics include the concept of Hilbert Spaces, Schrodinger and Heisenberg Representations, Bound State problems in one, two and three dimensions, consequences of symmetry, Angular momentum algebra, Approximation methods for stationary states, Many-body systems, Quantum statistics, Time dependent Perturbation Theory, Second Quantization and Electromagnetic Fields.

ELE 514 Extramural Research Internship Full-time research internship at a host institution, to perform scholarly research relevant to student's dissertation work. Research objectives will be determined by advisor in conjunction with outside host. A mid-semester progress review and a final paper are required. Enrollment limited to post-generals students for up to two semesters. Special rules apply to international students regarding CPT/OPT use. Students may register by application only.

ELE 515 Extramural Summer Project Summer research project designed in conjuction with the student's advisor and an industrial, NGO, or government sponsor, that will provide practical experience relevant to the student's research area. Start date no earlier than June 1. A research project and sponsor's evaluation are required.

ELE 518 Selected Topics in Computer Engineering and Information Sciences and Systems Introduction to topics and methods of research in computer engineering and information sciences and systems, providing an overview of current research of the faculty in computer engineering and information sciences and systems. It is meant to help first year graduate students find a research adviser.

ELE 519 Selected Topics in Solid-State Electronics One or more advanced topics in solid-state electronics. Contents vary from year to year. Recent topics have included: electronic properties of doped semiconductors, physics and technology of nanostructures, and organic materials for optical and electronic device application.

ELE 521 Linear System Theory (also

MAE 547

) This course covers the fundamentals of linear system theory. Various topics important for further study in dynamic systems, control and communication and signal processing are presented.

ELE 522 Large-Scale Optimizaton for Data Science This course introduces optimization methods suitable for large-scale problems in data science and machine learning applications; algorithms efficient for both smooth and nonsmooth problems, including gradient methods, proximal methods, ADMM, quasi-Newton methods and large-scale numerical linear algebra. We discuss the efficiency of these methods in concrete data science problems (e.g. low-rank matrix recovery, dictionary learning, graph matching), under appropriate statistical models. We introduce a global geometric analysis to characterize the nonconvex landscape of the empirical risks in several estimation and learning problems.

ELE 523 Nonlinear System Theory (also

MAE 548

) A study of the mathematical techniques found useful in the analysis and design of nonlinear systems. Topics include stability and qualitative behavior of differential equations, functional analysis and input/output behavior of systems, and "modern'' nonlinear system theory, which uses both geometric and algebraic techniques. Prerequisite: 521.

ELE 525 Random Processes in Information Systems Fundamentals of probability and random processes and their applications to information sciences and systems. The course examines sequences of random variables and convergence; stationarity and ergodicity; second-order properties and estimation; Poisson and renewal processes; and Markov processes.

ELE 526 Digital Communications and Systems Digital communications and data transmission. Topics include source coding, signal encoding, representation, and quantization; methods of modulation, synchronization, and transmission; optimum demodulation techniques; and communication through band-limited and random channels.

ELE 528 Information Theory An exploration of the Shannon theory of information, covering noiseless source coding theory of ergodic sources and channel coding theorems, including channels with memory, multiple-access, and Gaussian channels.

ELE 530 Theory of Detection Estimation and Learning Hypothesis testing; detection and estimation of signals in noise; detection of signals with unknown parameters; prediction and filtering of stationary time series; detection of stochastic signals; and nonparametric and robust techniques. Prerequisite: 525 or the equivalent.

ELE 531 Communication Networks Modeling and analysis of high-speed communication networks. Topics include M/M/1, M/G/1, G/M/m, and G/G/1 queues; queueing networks and loss networks; network architectures and protocols; media access control, multiplexing, and switching; resource allocation and congestion control; local area networks, TCP/IP Protocol in Internet, and B-ISDN ATM networks. Prerequisites: 525 or the equivalent and a familiarity with topics in 486 is desirable.

ELE 532 Adaptive Systems The theory and application of adaptive systems in communications and control. Course examines learning techniques and related models; the role of sufficient statistics; recursive and empirical Bayes procedures; and convergence properties. Simultaneous detection and estimation is studied. Topics discussed include intersymbol interference and channel equalization, model-reference adaptive systems, multipath communication, adaptive data compression, decision-directed receivers, adaptive filtering, and arrays. Prerequisite: 525 or the equivalent.

ELE 534 Fiber-Optic Communication Systems Guided wave optical transmission in fibers and planar waveguides; fiber types and their characteristics, such as loss and bandwidth; the performance of light-emitting diodes and semiconductor lasers in fiber-optic systems; modulation techniques; the principles of direct, homodyne, and heterodyne photodetection; noise in optical receivers, including dark current, random carrier multiplication noise, thermal noise, and quantum noise; and system design and performance. Examples of lightwave communication systems are given, including long-haul transmission, fiber-optic local area networks, photonic switching, and VLSI optical micro-area networks.

ELE 535 Machine Learning and Pattern Recognition An introduction to the theoretical foundations of machine learning and pattern recognition. Topics include Bayesian pattern classification; parametric methods; nearest neighbor classification; Kernel methods; density estimation; VC theory; neural networks; stochastic approximation. Prerequisites: ELE525 or the permission of the instructor.

ELE 536 Special Topics in Informations Sciences and Systems No Description Available

ELE 538 Special Topics in Information Sciences and Systems Advanced studies in selected areas in signal processing, communication and information theory, decision and control, and system theory. Emphasis on recent developments and current literature. Content varies from year to year according to the instructor's and students' interests.

ELE 538B Special Topics in Information Sciences and Systems Advanced studies in selected areas in signal processing, communication and information theory, decision and control, and system theory. Emphasis on recent developments and current literature. Content varies from year to year according to the instructor's and students' interests.

ELE 539 Special Topics in Information Sciences and Systems Advanced studies in selected areas in signal processing, communication and information theory, decision and control, and system theory. Emphasis on recent developments and current literature. Content varies from year to year according to the instructor's and students' interests.

ELE 539B Special Topics in Information Sciences and Systems Advanced studies in selected areas in signal processing, communication and information theory, decision and control, and system theory. Emphasis on recent developments and current literature. Content varies from year to year according to the instructor's and students' interests.

ELE 540 Organic Materials for Photonics & Electronics An introduction to organic materials with application to active electronic and photonic devices. Basic concepts and terminology in organic materials, and electronic and optical structure-property relationships are discussed. Charge transport, light emission and photoinduced charge transfer are examined. Finally, archetype organic devices as light emitting diodes, photodetectors and transistors are described.

ELE 542 Solid State Physics II This is a second-semester course with an emphasis on topics of interest to applied physicists and material scientists (e.g., semiconductors, optical properties and dielectrics.) It builds upon the material covered in ELE 441 and extends it to multiple areas. These include electronic structure of solids, electron dynamics and transport, semiconductors and impurity states, electron-electron, electron-phonon, and phonon-phonon interactions, anharmonic effects in crystals, dielectric properties of insulators, magnetism, superconductivity. Prerequisites of ELE 441 or PHY 405 or permission of instructor.

ELE 543 Electronic Materials (also

MSE 551

) The science and technology of materials used in electronics and optoelectronics, with varying emphasis. Subjects include the growth of crystals and of thin films, vacuum technology, phase diagrams, defects and atomic diffusion in semiconductors, techniques for analyzing electronic materials, amorphous silicon, and materials for large-area electronics, displays, and solar cells.

ELE 544 Physics & Technology of Low-Dimensional Electronic Structures A broad overview of materials science and physics of low-dimensional electronic structures will be presented. Emphasis is on the fabrication and physics of high-mobility carrier systems in modulation-doped structures. Examples include two-dimensional, one-dimensional (quantum wire), and zero-dimensional (quantum dot) systems.

ELE 545 Electronic Devices The physics and technology of electronic devices; junctions, junction transistors, and field-effect transistors; and MOS; and integrated circuits, and special microwave devices.

ELE 546 Subwavelength Nanophotonics and Plasmonics An introductory course for the first and second year graduate students to understand the theory and application of a new class of the photonic materials and devices, termed "subwavelength optical elements" (SOE) or "subwavelength photonics" (SWP), that are fundamentally different from bulk materials and devices. A striking property of the SOEs or SWPs, which have feature size smaller than the wavelength of light, is that it makes an optical system thinner than a paper.

ELE 547 Selected Topics in Solid-State Electronics One or more advanced topics in solid-state electronics. Contents vary from year to year. Recent topics have included: electronic properties of doped semiconductors, physics and technology of nanostructures, and organic materials for optical and electronic device application.

ELE 547B Selected Topics in Solid-State Electronics (also

MSE 557

) One or more advanced topics in solid-state electronics. Content may vary from year to year. Recent topics have included electronic properties of doped semiconductors, physics and technology of nanastructures, and organic materials for optical and electronic device application.

ELE 547C Selected Topics in Solid-State Electronics (also

EGR 547C

) One or more advanced topics in solid-state electronics. Content varies from year to year. Recent topics have included electronic properties of doped semiconductors, physics and technology of nanostructures, and organic materials for optical and electronic device application.

ELE 548 Selected Topics in Solid-State Electronics One or more advanced topics in solid-state electronics. Contents vary from year to year. Recent topics have included: electronic properties of doped semiconductors, physics and technology of nanostructures, and organic materials for optical and electronic device application.

ELE 554 Nonlinear Optics (also

MSE 553

) An introduction to nonlinear optics, second-harmonic generation, parametric amplification and oscillation, electrooptic effects, third-order nonlinearities, phase-conjugate optics, photorefractive materials, and solitons.

ELE 557 Solar Cells: Physics, Materials, and Technology (also

ENE 557

/