Online courses directory (19947)

This course deals with the principles of infrastructure planning in developing countries, with a focus on appropriate and sustainable technologies for water and sanitation. It also incorporates technical, socio-cultural, public health, and economic factors into the planning and design of water and sanitation systems. Upon completion, students will be able to plan simple, yet reliable, water supply and sanitation systems for developing countries that are compatible with local customs and available human and material resources. Graduate and upper division students from any department who are interested in international development at the grassroots level are encouraged to participate in this interdisciplinary subject.

Acknowledgment

This course was jointly developed by Earthea Nance and Susan Murcott in Spring 2006.

This seminar-style class will focus on evaluating and recommending alternative commuter and business-related transportation policies for the MIT campus. Emphasis will be placed on reducing transportation-related energy usage in a sustainable manner in response to President Hockfield's "Walk the Talk" energy initiative. Students will explore the relative roles of MIT and the MBTA as transportation providers, as well as the efficiency and effectiveness of related subsidy policies currently in place for all modes of transportation.

The objective of this course is to introduce large-scale atomistic modeling techniques and highlight its importance for solving problems in modern engineering sciences. We demonstrate how atomistic modeling can be used to understand how materials fail under extreme loading, involving unfolding of proteins and propagation of cracks.

This course was featured in an MIT Tech Talk article.

The main goal of this course is to study the generalization ability of a number of popular machine learning algorithms such as boosting, support vector machines and neural networks. Topics include Vapnik-Chervonenkis theory, concentration inequalities in product spaces, and other elements of empirical process theory.

This graduate level mathematics course covers decision theory, estimation, confidence intervals, and hypothesis testing. The course also introduces students to large sample theory. Other topics covered include asymptotic efficiency of estimates, exponential families, and sequential analysis.

The goal of this course is to give an undergraduate-level introduction to representation theory (of groups, Lie algebras, and associative algebras). Representation theory is an area of mathematics which, roughly speaking, studies symmetry in linear spaces.

This course examines the interplay of art, science, and commerce shaping the production, marketing, distribution, and consumption of contemporary media. It combines perspectives on media industries and systems with an awareness of the creative process, the audience, and trends shaping content. There will be invited discussions with industry experts in various subject areas. Class projects will encourage students to think through the challenges of producing media in an industry context. CMS.610 is for undergraduate credit, whereas CMS.922 is for graduate credit. Though the requirements for graduates are more stringent, the course is intended for both undergraduate and graduate students.

This course will serve as an introduction to the interdisciplinary academic study of videogames, examining their cultural, educational, and social functions in contemporary settings. By playing, analyzing, and reading and writing about videogames, we will examine debates surrounding how they function within socially situated contexts in order to better understand games' influence on and reflections of society. Readings will include contemporary videogame theory and the completion of a contemporary commercial videogame chosen in consultation with the instructor.

Geology is the core discipline of the earth sciences and encompasses many different phenomena, including plate tectonics and mountain building, volcanoes and earthquakes, and the long-term evolution of Earth’s atmosphere, surface and life. Because of the ever-increasing demand for resources, the growing exposure to natural hazards, and the changing climate, geology is of considerable societal relevance. This course introduces students to the basics of geology. Through a combination of lectures, labs, and field observations, we will address topics ranging from mineral and rock identification to the origin of the continents, from geologic mapping to plate tectonics, and from erosion by rivers and glaciers to the history of life.

This course introduces the structure, composition, and physical processes governing the terrestrial planets, including their formation and basic orbital properties. Topics include plate tectonics, earthquakes, seismic waves, rheology, impact cratering, gravity and magnetic fields, heat flux, thermal structure, mantle convection, deep interiors, planetary magnetism, and core dynamics. Suitable for majors and non-majors seeking general background in geophysics and planetary structure.

This course focuses on the practical applications of the continuum concept for deformation of solids and fluids, emphasizing force balance. Topics include stress tensor, infinitesimal and finite strain, and rotation tensors. Constitutive relations applicable to geological materials, including elastic, viscous, brittle, and plastic deformation are studied.

This course provides an introduction to the language of schemes, properties of morphisms, and sheaf cohomology. Together with 18.725 Algebraic Geometry, students gain an understanding of the basic notions and techniques of modern algebraic geometry.

The main aims of this seminar will be to go over the classification of surfaces (Enriques-Castelnuovo for characteristic zero, Bombieri-Mumford for characteristic p), while working out plenty of examples, and treating their geometry and arithmetic as far as possible.

This is the first semester of a one year graduate course in number theory covering standard topics in algebraic and analytic number theory. At various points in the course, we will make reference to material from other branches of mathematics, including topology, complex analysis, representation theory, and algebraic geometry.

This course analyzes cooperative processes that shape the natural environment, now and in the geologic past. It emphasizes the development of theoretical models that relate the physical and biological worlds, the comparison of theory to observational data, and associated mathematical methods. Topics include carbon cycle dynamics; ecosystem structure, stability and complexity; mass extinctions; biosphere-geosphere coevolution; and climate change. Employs techniques such as stability analysis; scaling; null model construction; time series and network analysis.

This course provides an introduction to the study of environmental phenomena that exhibit both organized structure and wide variability—i.e., complexity. Through focused study of a variety of physical, biological, and chemical problems in conjunction with theoretical models, we learn a series of lessons with wide applicability to understanding the structure and organization of the natural world. Students also learn how to construct minimal mathematical, physical, and computational models that provide informative answers to precise questions.

This course is appropriate for advanced undergraduates. Beginning graduate students are encouraged to register for 12.586 (graduate version of 12.086). Students taking the graduate version complete different assignments.

A great variety of processes affect the surface of the Earth. Topics to be covered are production and movement of surficial materials; soils and soil erosion; precipitation; streams and lakes; groundwater flow; glaciers and their deposits. The course combines aspects of geology, climatology, hydrology, and soil science to present a coherent introduction to the surface of the Earth, with emphasis on both fundamental concepts and practical applications, as a basis for understanding and intelligent management of the Earth's physical and chemical environment.

William Shakespeare didn't go to college. If he time-traveled like Dr. Who, he would be stunned to find his words on a university syllabus. However, he would not be surprised at the way we will be using those words in this class, because the study of rhetoric was essential to all education in his day. At Oxford, William Gager argued that drama allowed undergraduates "to try their voices and confirm their memories, and to frame their speech and conform it to convenient action": in other words, drama was useful. Shakespeare's fellow playwright Thomas Heywood similarly recalled:

In the time of my residence in Cambridge, I have seen Tragedies, Comedies, Histories, Pastorals and Shows, publicly acted…: this is held necessary for the emboldening of their Junior scholars, to arm them with audacity, against they come to be employed in any public exercise, as in the reading of Dialectic, Rhetoric, Ethic, Mathematic, the Physic, or Metaphysic Lectures.

Such practice made a student able to "frame a sufficient argument to prove his questions, or defend any axioma, to distinguish of any Dilemma and be able to moderate in any Argumentation whatsoever" (Apology for Actors, 1612). In this class, we will use Shakespeare's own words to arm you "with audacity" and a similar ability to make logical, compelling arguments, in speech and in writing.

Shakespeare used his ears and eyes to learn the craft of telling stories to the public in the popular form of theater. He also published two long narrative poems, which he dedicated to an aristocrat, and wrote sonnets to share "among his private friends" (so wrote Francis Meres in his Palladis Tamia, 1598). Varying his style to suit different audiences and occasions, and borrowing copiously from what he read, Shakespeare nevertheless found a voice all his own–so much so that his words are now, as his fellow playwright Ben Jonson foretold, "not of an age, but for all time." Reading, listening, analyzing, appreciating, criticizing, remembering: we will engage with these words in many ways, and will see how words can become ideas, habits of thought, indicators of emotion, and a means to transform the world.

The goal of this course is to describe some of the tools which enter into the proof of Sullivan's conjecture.

Geometry of Manifolds analyzes topics such as the differentiable manifolds and vector fields and forms. It also makes an introduction to Lie groups, the de Rham theorem, and Riemannian manifolds.