" 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).

Investigates conceptual and formal issues in different media or between media such as sculpture, photography, and video. Explores issues of representation, interpretation, and meaning, and how they relate to historical, social and cultural context.

12.491 is a seminar focusing on problems of current interest in geology and geochemistry. For Fall 2005, the topic is organic geochemistry. Lectures and readings cover recent research in the development and properties of organic matter.

This class presents the application of principles of soil mechanics. It considers the following topics: the origin and nature of soils; soil classification; the effective stress principle; hydraulic conductivity and seepage; stress-strain-strength behavior of cohesionless and cohesive soils and application to lateral earth stresses; bearing capacity and slope stability; consolidation theory and settlement analyses; and laboratory and field methods for evaluation of soil properties in design practice.

For advanced students who wish to build confidence and skills in spoken English. Focuses on the appropriate oral presentation of material in a variety of professional contexts: group discussions, classroom explanations and interactions, and theses/research proposals. Valuable for those who intend to teach or lecture in English. Includes language laboratory assignments. The goal of the workshop is to develop effective speaking and listening skills for academic and professional contexts.

This class covers the analysis and modeling of stochastic processes. Topics include measure theoretic probability, martingales, filtration, and stopping theorems, elements of large deviations theory, Brownian motion and reflected Brownian motion, stochastic integration and Ito calculus and functional limit theorems. In addition, the class will go over some applications to finance theory, insurance, queueing and inventory models.

This course draws on a wide range of perspectives to explore the roots of long term competitive advantage in unusually successful firms. Using a combination of cases, simulations, readings and, most importantly, lively discussion, the course will explore the ways in which long term advantage is built from first mover advantage, increasing returns, and unique organizational competencies. We will focus particularly on the ways in which the actions of senior management build competitive advantage over time, and on the strategic implications of understanding the roots of a firm's success.

Foundations of 3D elasticity. Fluid and elastic wave equations. Elastic and plastic waves in rods and beams. Waves in plates. Interaction with an acoustic fluid. Dynamics and acoustics of cylindrical shells. Radiation and scattering by submerged plates and shells. Interaction between structural elements. Response of plates and shells to high-intensity loads. Dynamic plasticity and fracture. Damage of structure subjected to implosive and impact loads.

This course is a continuation of 24.951. This semester the course topics of interest include movement, phrase structure, and the architecture of the grammar.

This course provides a deep understanding of engineering systems at a level intended for research on complex engineering systems. It provides a review and extension of what is known about system architecture and complexity from a theoretical point of view while examining the origins of and recent developments in the field. The class considers how and where the theory has been applied, and uses key analytical methods proposed. Students examine the level of observational (qualitative and quantitative) understanding necessary for successful use of the theoretical framework for a specific engineering system. Case studies apply the theory and principles to engineering systems.

This interdisciplinary course surveys modern European culture to disclose the alignment of literature, opposition, and revolution. Reaching back to the foundational representations of anarchism in nineteenth-century Europe (Kleist, Conrad) the curriculum extends through the literary and media representations of militant organizations in the 1970s and 80s (Italy's Red Brigade, Germany's Red Army Faction, and the Real Irish Republican Army). In the middle of the term students will have the opportunity to hear a lecture by Margarethe von Trotta, one of the most important filmmakers who has worked on terrorism. The course concludes with a critical examination of the ways that certain segments of European popular media have returned to the "radical chic" that many perceive to have exhausted itself more than two decades ago.

Recent results in cryptography and interactive proofs. Lectures by instructor, invited speakers, and students. Alternate years. The topics covered in this course include interactive proofs, zero-knowledge proofs, zero-knowledge proofs of knowledge, non-interactive zero-knowledge proofs, secure protocols, two-party secure computation, multiparty secure computation, and chosen-ciphertext security.

This half-semester course introduces and surveys a selection of cutting-edge topics in the field of real estate finance and investments. The course follows an informal ‰ŰĎseminar‰Ű format to the maximum degree possible, with students expected to take considerable initiative. Lectures and discussions led by the instructors will be supplemented by several guest speakers from the real estate investment industry, who will present perspectives on current trends and important developments in the industry.

" In analyzing fiscal issues, conventional public finance approaches focus mainly on taxation and public spending. Policymakers and practitioners rarely explore solutions by examining the fundamental problem: the failure of interested parties to act collectively to internalize the positive externalities generated by public goods. Public finance is merely one of many possible institutional arrangements for assigning the rights and responsibilities to public goods consumption. This system is currently under stress because of the financial crisis. The first part of the class will focus on collective action and its connection with local public finance. The second part will explore alternative institutional arrangements for mediating collective action problems associated with the provision of local public goods. The objective of the seminar is to broaden the discussion of local public finance by incorporating collective action problems into the discourse. This inclusion aims at exploring alternative institutional arrangements for financing local public services in the face of severe economic downturn. Applications of emerging ideas to the provision of public health, education, and natural resource conservation will be discussed."

Advanced subject focusing on techniques, format, and prose style used in academic and professional life. Emphasis on writing as required in fields such as economics, political science, and architecture. Short assignments include: business letters, memos, and proposals that lead toward a written term project. Methods designed to deal with the special problems of those whose first language is not English. Successful completion satisfies Phase II of the Writing Requirement. This workshop is designed to help you write clearly, accurately and effectively in both an academic and a professional environment. In class, we analyze various forms of writing and address problems common to advanced speakers of English. We will often read one another's work.

Provides the opportunity for students to work intensively on developing the research claims and arguments in their writing. Open to both Master's and Ph.D. students and designed to maximize cross-fertilization between programs and research areas. First part devoted to reading and writing assignments that guide students in focusing on the connections between their research claims, the evidence that supports those claims, and the reasoning that underlies that support. In the latter part, students provide successive drafts of their project for group commentary and guidance in revision. The purpose of this seminar is to expose the student to a number of different types of writing that one may encounter in a professional career. The class is an opportunity to write, review, rewrite and present a point of view both orally and in written form.

" This course covers concepts and techniques for the design and implementation of large software systems that can be adapted to uses not anticipated by the designer. Applications include compilers, computer-algebra systems, deductive systems, and some artificial intelligence applications. Topics include combinators, generic operations, pattern matching, pattern-directed invocation, rule systems, backtracking, dependencies, indeterminacy, memoization, constraint propagation, and incremental refinement. Substantial weekly programming Assignments and Labs are an integral part of the subject. There will be extensive programming Assignments and Labs, using MIT/GNU Scheme. Students should have significant programming experience in Scheme, Common Lisp, Haskell, CAML or some other "functional" language."

This course extends fluid mechanic concepts from Unified Engineering to the aerodynamic performance of wings and bodies in sub/supersonic regimes. 16.100 generally has four components: subsonic potential flows, including source/vortex panel methods; viscous flows, including laminar and turbulent boundary layers; aerodynamics of airfoils and wings, including thin airfoil theory, lifting line theory, and panel method/interacting boundary layer methods; and supersonic and hypersonic airfoil theory. Course material varies each year depending upon the focus of the design problem.

Boundary layers as rational approximations to the solutions of exact equations of fluid motion. Physical parameters influencing laminar and turbulent aerodynamic flows and transition. Effects of compressibility, heat conduction, and frame rotation. Influence of boundary layers on outer potential flow and associated stall and drag mechanisms. Numerical solution techniques and exercises. The major focus of 16.13 is on boundary layers, and boundary layer theory subject to various flow assumptions, such as compressibility, turbulence, dimensionality, and heat transfer. Parameters influencing aerodynamic flows and transition and influence of boundary layers on outer potential flow are presented, along with associated stall and drag mechanisms. Numerical solution techniques and exercises are included.