Online courses directory (2511)

Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications.

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 introductory calculus course covers differentiation and integration of functions of one variable, with applications.

The laws of nature are expressed as differential equations. Scientists and engineers must know how to model the world in terms of differential equations, and how to solve those equations and interpret the solutions. This course focuses on the equations and techniques most useful in science and engineering.

Course Format

This course has been designed for independent study. It provides everything you will need to understand the concepts covered in the course. The materials include:

• Lecture Videos by Professor Arthur Mattuck.
• Course Notes on every topic.
• Practice Problems with Solutions.
• Problem Solving Videos taught by experienced MIT Recitation Instructors.
• Problem Sets to do on your own with Solutions to check your answers against when you're done.
• A selection of Interactive Java® Demonstrations called Mathlets to illustrate key concepts.
• A full set of Exams with Solutions, including practice exams to help you prepare.

Content Development

Spanish for Bilingual Students is an intermediate course designed principally for heritage learners, but which includes other students interested  in specific content areas, such as US Latino immigration, identity, ethnicity, education and representation in the media. Linguistic goals include vocabulary acquisition, improvement in writing, and enhancement of formal communicative skills.

Many books and thousands of papers cover the field of system dynamics. With all of these resources available, it can be difficult to know where to begin. The System Dynamics in Education Project at MIT put together these resources to help people sort through the vast library of books and papers on system dynamics. This course site includes a collection of papers and computer exercises entitled “Road Maps,” as well as a collection of assignments and solutions that were initially part of a guided study to system dynamics.  Note that while the level of the course indicated in the upper right corner of the screen is "Undergraduate / Graduate," the material is suitable for people ranging from K-12 students to chief executives of corporations.

This course is an introduction to the most fundamental concepts, principles, analytical methods and tools useful for making investment and finance decisions regarding commercial real estate assets. As the first of a two-course sequence, this course will focus on the basic building blocks and the "micro" level, which pertains to individual properties and deals.

This introductory survey course is intended to develop an understanding of key issues and dilemmas of planning in non-Western countries. The issues covered by the course include state intervention, governance, law and institutions in development, privatization, participatory planning, decentralization, poverty, urban-rural linkages, corruption and civil service reform, trade and outsourcing and labor standards, post-conflict development and the role of aid in development.

This course is an overview of engineering approaches to protecting water quality with an emphasis on fundamental principals. Theory and conceptual design of systems for treating municipal wastewater and drinking water are discussed, as well as reactor theory, process kinetics, and models. Physical, chemical, and biological processes are presented, including sedimentation, filtration, biological treatment, disinfection, and sludge processing. Finally, there is discussion of engineered and natural processes for wastewater treatment.

6.831/6.813 examines human-computer interaction in the context of graphical user interfaces. The course covers human capabilities, design principles, prototyping techniques, evaluation techniques, and the implementation of graphical user interfaces. Deliverables include short programming assignments and a semester-long group project. Students taking the graduate version also have readings from current literature and additional assignments.

The course begins with the basics of compressible fluid dynamics, including governing equations, thermodynamic context and characteristic parameters. The next large block of lectures covers quasi-one-dimensional flow, followed by a discussion of disturbances and unsteady flows. The second half of the course comprises gas dynamic discontinuities, including shock waves and detonations, and concludes with another large block dealing with two-dimensional flows, both linear and non-linear.

This course addresses advanced structures, exterior envelopes and contemporary production technologies. It continues the exploration of structural elements and systems, and expands to include more complex determinate, indeterminate, long-span and high-rise systems. It covers topics such as reinforced concrete, steel and engineered wood design, and provides an introduction to tensile systems. Lectures also address the contemporary exterior envelope with an emphasis on their performance attributes and advanced manufacturing technologies. This course is required of MArch students.

This course introduces experimental biochemical and molecular techniques from a quantitative engineering perspective. Experimental design, data analysis, and scientific communication form the underpinnings of this subject. Three discovery-based experimental modules focus on RNA engineering, protein engineering, and cell-biomaterial engineering.

This OCW site is based on the source OpenWetWare class Wiki, 20.109(S10): Laboratory Fundamentals of Biological Engineering.

This course explores the foundations of policy making in developing countries. The goal is to spell out various policy options and to quantify the trade-offs between them. We will study the different facets of human development: education, health, gender, the family, land relations, risk, informal and formal norms and institutions. This is an empirical class. For each topic, we will study several concrete examples chosen from around the world. While studying each of these topics, we will ask: What determines the decisions of poor households in developing countries? What constraints are they subject to? Is there a scope for policy (by government, international organizations, or non-governmental organizations (NGOs))? What policies have been tried out? Have they been successful?

Reading Fiction is designed to sharpen your skills as a critical reader. As we explore both short stories and novels focusing on the theme of "the city in literature," we will learn about the various elements that shape the way we read texts - structure, narrative voice, character development, novelistic experimentation, historical and political contexts and reader response.

What is a "life" when it's written down? How does memory inform the present? Why are autobiographies and memoirs so popular? This course will address these questions among others, considering the relationship between biography, autobiography, and memoir and between personal and social themes. We will examine classic authors such as Mary Rowlandson, Benjamin Franklin, Frederick Douglass, Harriet Jacobs, and Mark Twain; then more recent examples like Tobias Wolff, Art Spiegelman, Sherman Alexie, Shirley Geok-lin Lim, Edwidge Danticat, and Alison Bechdel.

Taking as its starting point the works of one of Britain's most respected, prolific—and funny—living dramatists, this seminar will explore a wide range of knowledge in fields such as math, philosophy, politics, history and art. The careful reading and discussion of plays by (Sir) Tom Stoppard and some of his most compelling contemporaries (including Caryl Churchill, Anna Deveare Smith and Howard Barker) will allow us to time-travel and explore other cultures, and to think about the medium of drama as well as one writer's work in depth. Some seminar participants will report on earlier plays that influenced these writers, others will research everything from Lord Byron's poetry to the bridges of Konigsberg, from Dadaism to Charter 77. Employing a variety of critical approaches (both theoretical and theatrical), we will consider what postmodernity means, as applied to these plays. In the process, we will analyze how drama connects with both the culture it represents and that which it addresses in performance. We will also explore the wit and verbal energy of these contemporary dramatists…not to mention, how Fermat's theorem, classical translation, and chaos theory become the stuff of stage comedy.

In this course, students explore the engineering design of nuclear power plants using the basic principles of reactor physics, thermodynamics, fluid flow and heat transfer. Topics include reactor designs, thermal analysis of nuclear fuel, reactor coolant flow and heat transfer, power conversion cycles, nuclear safety, and reactor dynamic behavior.

This subject investigates the special relation of women to several musical folk traditions in the British Isles and North America. Throughout, we will be examining the implications of gender in the creation, transmission, and performance of music. Because virtually all societies operate to some extent on a gendered division of labor (and of expressive roles) the music of these societies is marked by the gendering of musical repertoires, traditions of instrumentation, performance settings, and styles. This seminar will examine the gendered dimensions of the music - the song texts, the performance styles, processes of dissemination (collection, literary representation) and issues of historiography - with respect to selected traditions within the folk musics of North America and the British Isles, with the aim of analyzing the special contributions of women to these traditions. In addition to telling stories about women's musical lives, and studying elements of female identity and subjectivity in song texts and music, we will investigate the ways in which women's work and women's cultural roles have affected the folk traditions of these several countries.

This course deals with a more advanced treatment of the biochemical mechanisms that underlie biological processes. Emphasis will be given to the experimental methods used to unravel how these processes fit into the cellular context as well as the coordinated regulation of these processes. Topics include macromolecular machines for energy and force transduction, regulation of biosynthetic and degradative pathways, and the structure and function of nucleic acids.