This course analyzes the functions of a complex variable and the calculus of residues. It also covers subjects such as ordinary differential equations, partial differential equations, Bessel and Legendre functions, and the Sturm-Liouville theory.

Following a brief classroom discussion of relevant principles, each student in this course completes the paper design of several advanced circuits such as multiplexers, sample-and-holds, gain-controlled amplifiers, analog multipliers, digital-to-analog or analog-to-digital converters, and power amplifiers. One of each student’s designs is presented to the class, and one may be built and evaluated. Associated laboratory assignments emphasize the use of modern analog building blocks. This course is worth 12 Engineering Design Points.

This course introduces interactive oral and interpersonal communication skills critical to leaders, including strategies for presenting to a hostile audience, running effective and productive meetings, active listening, and contributing to group decision-making. There are team-run classes on chosen communication topics, and an individual analysis of leadership qualities and characteristics. Students deliver an oral presentation and an executive summary, both aimed at a business audience.

This graduate-level course focuses on current research topics in computational complexity theory. Topics include: Nondeterministic, alternating, probabilistic, and parallel computation models; Boolean circuits; Complexity classes and complete sets; The polynomial-time hierarchy; Interactive proof systems; Relativization; Definitions of randomness; Pseudo-randomness and derandomizations;Interactive proof systems and probabilistically checkable proofs.

Data structures play a central role in modern computer science. You interact with data structures even more often than with algorithms (think Google, your mail server, and even your network routers). In addition, data structures are essential building blocks in obtaining efficient algorithms. This course covers major results and current directions of research in data structure.
Acknowledgments
Thanks to videographers Martin Demaine and Justin Zhang.

In 6.635, topics covered include: special relativity, electrodynamics of moving media, waves in dispersive media, microstrip integrated circuits, quantum optics, remote sensing, radiative transfer theory, scattering by rough surfaces, effective permittivities, random media, Green’s functions for planarly layered media, integral equations in electromagnetics, method of moments, time domain method of moments, EM waves in periodic structures: photonic crystals and negative refraction.

Designed to familiarize students with theories and analytical tools useful for studying research literature, this course is a survey of fluid mechanical problems in the water environment. Because of the inherent nonlinearities in the governing equations, we shall emphasize the art of making analytical approximations not only for facilitating calculations but also for gaining deeper physical insight. The importance of scales will be discussed throughout the course in lectures and homeworks. Mathematical techniques beyond the usual preparation of first-year graduate students will be introduced as a part of the course. Topics vary from year to year.

Theoretical topics of fluid dynamics relevant to natural phenomena or man-made hazards in water and atmosphere. Basic law of fluid motion. Scaling and approximations. Slow flows, with applications to drag on a particle and mud flow on a slope. Boundary layers: jets and plumes in pure fluids or in porous media. Thermal and buoyancy effects, selective withdrawal and internal waves. Transient boundary layers in impulsive flows or waves. Induced streaming and mass transport. Dispersion in steady flows or in waves. Effects of earth rotation on coastal flows. Wind induced flow in shallow seas. Stratified seas and coastal upwelling.

This course is a survey of principal concepts and methods of fluid dynamics. Topics include mass conservation, momentum, and energy equations for continua; Navier-Stokes equation for viscous flows; similarity and dimensional analysis; lubrication theory; boundary layers and separation; circulation and vorticity theorems; potential flow; introduction to turbulence; lift and drag; surface tension and surface tension driven flows.

1.364 examines site characterization and geotechnical aspects of the design and construction of foundation systems. Topics include: site investigation (with emphasis on in situ testing), shallow (footings and raftings) and deep (piles and caissons) foundations, excavation support systems, groundwater control, slope stability, soil improvement (compaction, soil reinforcement, etc.), and construction monitoring. This course is a core requirement for the Geotechnical Master of Engineering program at MIT.

This course provides the opportunity to discuss, orally and in writing, cultural, ethical, and social issues on a stylistically sophisticated level. It explores representative and influential works from the nineteenth century to the present, through literary texts (prose, drama, poetry), radio plays, art, film, and architecture, as well as investigates topics such as the human and the machine, science and ethics, representation of memory, and issues of good and evil. Taught in German.

This course exposes students to current issues and language use in German technology, business, and international industrial relations, and discusses ramifications of these issues in a larger social and cultural context. We seek to prepare students who wish to work or study in a German-speaking country by focusing on specialized vocabulary and systematic training in speaking and writing skills to improve fluency and style and emphasizing communicative strategies that are crucial in a working environment. Discussion and analysis of newspaper and magazine articles, modern expository prose, and extensive use of online material are included. Taught in German.

Advanced Igneous Petrology covers the history of and recent developments in the study of igneous rocks. Students review the chemistry and structure of igneous rock-forming minerals and proceed to study how these minerals occur and interact in igneous rocks. The course focuses on igneous processes and how we have learned about them through studying a number of significant sites worldwide.

14.461 is an advanced course in macroeconomics that seeks to bring students to the research frontier. The course is divided into two sections. The first half is taught by Prof. Iván Werning and covers topics such as how to formulate and solve optimal problems. Students will study fiscal and monetary policy, among other issues. The second half, taught by Prof. George-Marios Angeletos, covers recent work on multiple equilibria, global games, and informational fictions.

Professor Blanchard will discuss shocks, labor markets and unemployment, and dynamic stochastic general equilibrium models (DSGE models). Professor Lorenzoni will cover demand shocks, macroeconomic effects of news (with or without nominal rigidities), investment with credit constraints, and liquidity with its aggregate effects.

14.462 is the second semester of the second-year Ph.D. macroeconomics sequence.
The course is intended to introduce the students, not only to particular areas of current research, but also to some very useful analytical tools. It covers a selection of topics that varies from year to year. Recent topics include:

Growth and Fluctuations
Heterogeneity and Incomplete Markets
Optimal Fiscal Policy
Time Inconsistency
Reputation
Coordination Games and Macroeconomic Complementarities
Information

This course is a graduate introduction to natural language processing - the study of human language from a computational perspective. It covers syntactic, semantic and discourse processing models, emphasizing machine learning or corpus-based methods and algorithms. It also covers applications of these methods and models in syntactic parsing, information extraction, statistical machine translation, dialogue systems, and summarization. The subject qualifies as an Artificial Intelligence and Applications concentration subject.

This course deals with the application of structure and theory to the study of organic reaction mechanisms: Stereochemical features including conformation and stereoelectronic effects; reaction dynamics, isotope effects and molecular orbital theory applied to pericyclic and photochemical reactions; and special reactive intermediates including carbenes, carbanions, and free radicals.

The focus of the course is the concepts and techniques for solving the partial differential equations (PDE) that permeate various scientific disciplines. The emphasis is on nonlinear PDE. Applications include problems from fluid dynamics, electrical and mechanical engineering, materials science, quantum mechanics, etc.

This course focuses on phonological phenomena that are sensitive to morphological structure, including base-reduplicant identity, cyclicity, level ordering, derived environment effects, opaque rule interactions, and morpheme structure constraints. In the recent OT literature, it has been claimed that all of these phenomena can be analyzed with a single theoretical device: correspondence constraints, which regulate the similarity of lexically related forms (such as input and output, base and derivative, base and reduplicant).