The course is a comprehensive introduction to the theory, algorithms and applications of integer optimization and is organized in four parts: formulations and relaxations, algebra and geometry of integer optimization, algorithms for integer optimization, and extensions of integer optimization.

Selection of material from the following topics: calculus of variations (the first variation and the second variation); integral equations (Volterra equations; Fredholm equations, the Hilbert-Schmidt theorem); the Hilbert Problem and singular integral equations of Cauchy type; Wiener-Hopf Method and partial differential equations; Wiener-Hopf Method and integral equations; group theory.

This course uses reaction kinetics, batch reactor analysis, batch distillation, batch operations scheduling, safety analysis, and the ABACUSS process simulator to introduce process design and analysis techniques.

Presents and solves chemical engineering problems in an industrial context, with applications varying by semester. Emphasis on the integration of fundamental concepts with approaches of process design. Emphasis on problems that demand synthesis, economic analysis, and process design .This course introduces students to methods and background needed for the conceptual design of continuously operating chemical plants. Particular attention is paid to the use of process modeling tools such as Aspen that are used in industry and to problems of current interest. Each student team is assigned to evaluate and design a different technology and prepare a final design report. For spring 2006, the theme of the course is to design technologies for lowering the emissions of climatically active gases from processes that use coal as the primary fuel.

This course provides a brief introduction to the field of biocatalysis in the context of process design. Fundamental topics include why and when one may choose to use biological systems for chemical conversion, considerations for using free enzymes versus whole cells, and issues related to design and development of bioconversion processes. Biological and engineering problems are discussed as well as how one may arrive at both biological and engineering solutions.

Chemical engineering problems presented and analyzed in an industrial context. Emphasis on the integration of fundamentals with material property estimation, process control, product development, and computer simulation. Integration of societal issues, such as engineering ethics, environmental and safety considerations, and impact of technology on society are addressed in the context of case studies.

Addresses some of the important issues involved with the planning, development, and implementation of lean enterprises. People, technology, process, and management dimensions of an effective lean manufacturing company are considered in a unified framework. Particular emphasis on the integration of these dimensions across the entire enterprise, including product development, production, and the extended supply chain. Analysis tools as well as future trends and directions are explored. A key component of this subject is a team project.

This course integrates studies of engineering sciences, reactor physics and safety assessment into nuclear power plant design. Topics include materials issues in plant design and operations, aspects of thermal design, fuel depletion and fission-product poisoning, and temperature effects on reactivity, safety considerations in regulations and operations, such as the evolution of the regulatory process, the concept of defense in depth, General Design Criteria, accident analysis, probabilistic risk assessment, and risk-informed regulations.

This course will explore the organization and functions of the U.S. Intelligence Community, its interaction with national security policymakers, key issues about its workings, and the challenges it faces in defining its future role. The events of 9/11 and the invasion of Iraq have focused new attention on national intelligence, including the most significant reorganization of the community since the National Security Act of 1947. The course will highlight some of the major debates about the role, practices, and problems of national intelligence.

The course will start with an overview of the central and peripheral nervous systems (CNS and PNS), the development of their structure and major divisions. The major functional components of the CNS will then be reviewed individually. Topography, functional distribution of nerve cell bodies, ascending and descending tracts in the spinal cord. Brainstem organization and functional components, including cranial nerve nuclei, ascending/descending pathways, amine-containing cells, structure and information flow in the cerebellar and vestibular systems. Distribution of the cranial nerves, resolution of their skeletal and branchial arch components. Functional divisions of the Diencephalon and Telencephalon. The course will then continue with how these various CNS pieces and parts work together. Motor systems, motor neurons and motor units, medial and lateral pathways, cortical versus cerebellar systems and their functional integration. The sensory systems, visual, auditory and somatosensory. Olfaction will be covered in the context of the limbic system, which will also include autonomic control and the Papez circuit. To conclude, functional organization and information flow in the neocortex will be discussed.

During the fall of 2017, art educator B. Stephen Carpenter II began a residency at the MIT Center for Art, Science & Technology (CAST). He provided new perspectives on issues of access, privilege, and the global water crisis through a series of seminars, performances, and workshops. Carpenter's seminars illustrated ways of disrupting systems of oppression and ways to increase access to potable water in politically marginalized communites in the United States and abroad.

This course is an interdisciplinary exploration of three broad topics concerning music in relation to time.Music as Architecture: the creation of musical shapes in time;Music as Memory: how musical understanding depends upon memory and reminiscence, with attention to analysis of musical structures; andTime as the Substance of Music: how different disciplines such as philosophy and neuroscience view the temporal dimension of musical processes and/or performances.Classroom discussion of these topics is complemented by three weekend concerts with pre-concert forums, jointly presented by the Boston Chamber Music Society (BCMS) and MIT Music & Theater Arts.

This graduate-level course covers fluid systems dominated by the influence of interfacial tension. The roles of curvature pressure and Marangoni stress are elucidated in a variety of fluid systems. Particular attention is given to drops and bubbles, soap films and minimal surfaces, wetting phenomena, water-repellency, surfactants, Marangoni flows, capillary origami and contact line dynamics.

Analysis, modeling, and design of heat and mass transfer processes with application to common technologies. Unsteady heat conduction in one or more dimensions, steady conduction in multidimensional configurations, numerical simulation; forced convection in laminar and turbulent flows; natural convection in internal and external configurations; phase change heat transfer; thermal radiation, black bodies, grey radiation networks, spectral and solar radiation; mass transfer at low rates, evaporation.

Survey of modern macroeconomics at a fairly advanced level. Topics include neoclassical and new growth theory, consumption and saving behavior, investment, and unemployment. Use of the dynamic programming techniques. Assignments include problem sets and written discussions of macroeconomic events. Recommended for students planning to apply to graduate school in economics. Credit not given for both 14.05 and 14.06.

Uses the tools of macroeconomics to study three macroeconomic policy problems in depth. Possible topics include long-run economic growth, the macroeconomics of the transition to a modern capitalist society, federal government surpluses and deficits, Social Security, the distribution of earnings and income, and the Great Depression. Requires a 20-page paper on a subject related to one of the topics considered in the class. This subject considers three topics of macroeconomics that are alive and controversial for policy today. The topics are: economic growth - the roles of capital accumulation, increased education, and technological progress in determining economic growth; savings - the effect of government and private debt on economic growth; and exchange-rate regimes - their role in the Great Depression and today.

In 16.540 we address fluid dynamic phenomena of interest in internal flow situations. The emphasis tends to be on problems that arise in air breathing propulsion, but the application of the concepts covered is more general, and the course is wider in scope, than turbomachines (in spite of the title). Stated more directly, the focus is on the fluid mechanic principles that determine the behavior of a broad class of industrial devices. The material can therefore be characterized, only partly tongue in cheek, as "industrial strength fluid mechanics done in a rigorous manner".

This course covers, with a focus on both theory and empirics, advanced topics in international trade (as well as inter-regional trade and economic geography). It includes the study of positive issues, such as: Why do countries trade? What goods do countries trade? What are the implications of openness for the location of production, industries, occupations, and innovative activity? And, what impedes trade and why do some countries deliberately erect policy impediments to trade? The course also concerns normative issues, such as: Is trade openness beneficial to a representative agent? And, Are there winners and losers from trade and if so, can we identify them? Throughout, these issues are approached in neoclassical settings as well as those with market failures, at the industry-level as well as the firm-level, and in the presence of both mobile and immobile factors (e.g., foreign direct investment (FDI), offshoring of tasks, multinational firms and immigration).

This seminar will explore the difficulties of getting agreement on global definitions of sustainability; in particularly building international support for efforts to combat climate change created by greenhouse gas emissions as well as other international resource management efforts. We will focus on possible changes in the way global environmental agreements are formulated and implemented, especially on ways of shifting from the current "pollution control" approach to combating climate change to a more comprehensive strategy for taking advantage of sustainable development opportunities.

This course examines the interconnections of international politics and climate change. Beginning with an analysis of the strategic and environmental legacies of the 20th Century, it explores the politicization of the natural environment, the role of science in this process, and the gradual shifts in political concerns to incorporate "nature". Two general thrusts of climate-politics connections are pursued, namely those related to (a) conflict - focusing on threats to security due to environmental dislocations and (b) cooperation - focusing on the politics of international treaties that have contributed to emergent processes for global accord in response to evidence of climate change. The course concludes by addressing the question of: "What Next?