Online courses directory (19947)

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.

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.

The course covers the basic models and solution techniques for problems of sequential decision making under uncertainty (stochastic control). We will consider optimal control of a dynamical system over both a finite and an infinite number of stages. This includes systems with finite or infinite state spaces, as well as perfectly or imperfectly observed systems. We will also discuss approximation methods for problems involving large state spaces. Applications of dynamic programming in a variety of fields will be covered in recitations.

This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.

This course examines the issues, principles, and challenges toward building relational machines through a combination of studio-style design and critique along with lecture, lively discussion of course readings, and assignments. Insights from social psychology, human-computer interaction, and design will be examined, as well as how these ideas are manifest in a broad range of applications for software agents and robots.

The third module of the free online course Microsoft Digital Literacy describes the common features and commands of different productivity programs. It also explains how to work with various categories of productivity programs, such as word processors, spreadsheets, presentation programs, and database programs.

1.012 introduces students to the theory, tools, and techniques of engineering design and creative problem-solving, as well as design issues and practices in civil engineering. The course includes several design cases, with an emphasis on built facilities (e.g., buildings, bridges and roads). Project design explicitly concerns technical approaches as well as consideration of the existing built environment, natural environment, economic and social factors, and expected life span. A large design case is introduced, which is used in the subsequent specialty area design subjects (1.031, 1.041, 1.051) and the capstone design subject (1.013).

This free online course is the first of our Upper-Secondary Mathematics suite of courses. It covers mathematical analysis, including univariate statistics and data, bivariate statistics, correlation, regression, residual analysis, non-linear data, and seasonal movements. This course is suitable for students of maths, especially those preparing for examinations. It is also suitable for those looking to refresh their knowledge of Mathematics. <br />

This course discusses management methods of relevance to public transportation systems. Topics include strategic planning management, labor relations, maintenance planning and administration, financing, marketing and fare policy, and management information and decision support systems. The course shows how these general management tasks are dealt with in the transit industry and presents alternative strategies. It also identifies alternative arrangements for service provision, including different ways of involving the private sector in public transportation.

The course considers the growing popularity of sustainability and its implications for the practice of engineering, particularly for the built environment. Two particular methodologies are featured: life cycle assessment (LCA) and Leadership in Energy and Environmental Design (LEED). The fundamentals of each approach will be presented. Specific topics covered include water and wastewater management, energy use, material selection, and construction.

This course will survey the conditions of material life and changing social and economic conditions in medieval Europe with reference to the comparative context of contemporary Islamic, Chinese, and central Asian experiences. Subject covers the emergence and decline of feudal institutions, the transformation of peasant agriculture, living standards and the course of epidemic disease, and the ebb and flow of long-distance trade across the Eurasian system. Particular emphasis will be placed on the study of those factors, both institutional and technological, which have contributed to the emergence of capitalist organization and economic growth in Western Europe in contrast to the trajectories followed by the other major medieval economies.

This course teaches simple reasoning techniques for complex phenomena: divide and conquer, dimensional analysis, extreme cases, continuity, scaling, successive approximation, balancing, cheap calculus, and symmetry. Applications are drawn from the physical and biological sciences, mathematics, and engineering. Examples include bird and machine flight, neuron biophysics, weather, prime numbers, and animal locomotion. Emphasis is on low-cost experiments to test ideas and on fostering curiosity about phenomena in the world.

6.844 is a graduate introduction to programming theory, logic of programming, and computability, with the programming language Scheme used to crystallize computability constructions and as an object of study itself. Topics covered include: programming and computability theory based on a term-rewriting, "substitution" model of computation by Scheme programs with side-effects; computation as algebraic manipulation: Scheme evaluation as algebraic manipulation and term rewriting theory; paradoxes from self-application and introduction to formal programming semantics; undecidability of the Halting Problem for Scheme; properties of recursively enumerable sets, leading to Incompleteness Theorems for Scheme equivalences; logic for program specification and verification; and Hilbert's Tenth Problem.

This course examines how randomization can be used to make algorithms simpler and more efficient via random sampling, random selection of witnesses, symmetry breaking, and Markov chains. Topics covered include: randomized computation; data structures (hash tables, skip lists); graph algorithms (minimum spanning trees, shortest paths, minimum cuts); geometric algorithms (convex hulls, linear programming in fixed or arbitrary dimension); approximate counting; parallel algorithms; online algorithms; derandomization techniques; and tools for probabilistic analysis of algorithms.

This course is an introduction to basic NMR theory. Examples of biochemical data obtained using NMR are summarized along with other related experiments. Students participate in detailed study of NMR imaging techniques, including discussions of basic cross-sectional image reconstruction, image contrast, flow and real-time imaging, and hardware design considerations. Exposure to laboratory NMR spectroscopic and imaging equipment is included.

This course considers some of the substantial early twentieth-century poetic voices in America. Authors vary, but may include Moore, Frost, Eliot, Stevens, and Pound.

We'll read the major poems by the most important poets in English in the 20th century, emphazinig especially the period between post-WWI disillusionment and early WW II internationalism (ca. 1918-1940). Our special focus this term will be how the concept of "the Image" evolved during this period. The War had undercut beliefs in master-narratives of nationalism and empire, and the language-systems that supported them (religious transcendence, rationalism and formalism). Retrieving energies from the Symbolist movements of the preceding century, early 20th century poets began to rethink how images carry information, and in what ways the visual, visionary, and verbal image can take the place of transcendent beliefs. New theories of linguistics and anthropology helped to advance this interest in the artistic/religious image. So did Freud. So did Charlie Chaplin films.

We'll read poems that pay attention both to this disillusionment and to the compensatory joyous attention to the image: to ideas of the poet-as-language-priest, aesthetic-experience-as-displaced-religious impulse, to poetry as faith, ritual, and form.

This class looks at the special structural and practical needs of theatrical scenery and effects and how they can be constructed. We map the technical design process from initial meetings to realization on stage. The class emphasizes safety, budgeting, and problem solving. Ten 1-3 page Tech notes are required as well as a final project. Work includes actual production assignments as well as paper design projects.

This class explores the political and aesthetic foundations of hip hop. Students trace the musical, corporeal, visual, spoken word, and literary manifestations of hip hop over its 30 year presence in the American cultural imagery. Students also investigate specific black cultural practices that have given rise to its various idioms. Students create material culture related to each thematic section of the course. Scheduled work in performance studio helps students understand how hip hop is created and assessed.

This course focuses on a range of theories of gender in modern life. In recent years feminist scholars in a range of disciplines have challenged previously accepted notions of political theory such as the distinctions between public and private, the definitions of politics itself, the nature of citizenship, and the roles of women in civil society. In this course we will examine different aspects of women's lives through the life cycle as seen from the vantage point of political theory. In addition we will consider different ways of looking at power and political culture in modern societies, issues of race and class, poverty and welfare, sexuality and morality.

This course aims to get students thinking about politics and policy as a part of their everyday life. We treat politics as a struggle among competing advocates trying to persuade others to see the world as they do, working within a context that is structured primarily by institutions and cultural ideas. We’ll begin by developing a policymaking framework, understanding ideology, and taking a whirlwind tour of the American political system. Then, we’ll examine six policy issues in depth: health care, gun control, the federal budget, immigration reform, same-sex marriage, and energy and climate change.