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Courseware
In this course, we study elliptic Partial Differential Equations (PDEs) with variable coefficients building up to the minimal surface equation. Then we study Fourier and harmonic analysis, emphasizing applications of Fourier analysis. We will see some applications in combinatorics / number theory, like the Gauss circle problem, but mostly focus on applications in PDE, like the Calderon-Zygmund inequality for the Laplacian, and the Strichartz inequality for the Schrodinger equation. In the last part of the course, we study solutions to the linear and the non-linear Schrodinger equation. All through the course, we work on the craft of proving estimates.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Fourier analysis Differential equations Partial
- Resource Type:
- Courseware
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Courseware
This graduate-level course focuses on current research topics in computational complexity theory. Topics include: Nondeterministic, alternating, probabilistic, and parallel computation models; Boolean circuits; Complexity classes and complete sets; The polynomial-time hierarchy; Interactive proof systems; Relativization; Definitions of randomness; Pseudo-randomness and derandomizations;Interactive proof systems and probabilistically checkable proofs.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Computational complexity
- Resource Type:
- Courseware
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Courseware
This course is the continuation of 18.785 Number Theory I. It begins with an analysis of the quadratic case of Class Field Theory via Hilbert symbols, in order to give a more hands-on introduction to the ideas of Class Field Theory. More advanced topics in number theory are discussed in this course, such as Galois cohomology, proofs of class field theory, modular forms and automorphic forms, Galois representations, and quadratic forms.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Galois cohomology Algebraic number theory Class field theory
- Resource Type:
- Courseware
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Courseware
This course provides an introduction to writing about science (including medicine, technology, and engineering) for general readers. With a strong emphasis in background research, this course will help students build a foundation for strong science writing. Students will read works by accomplished science writers. Each assignment will focus on a different popular form, such as news articles, interviews, essays, and short features.
- Subjects:
- English Language
- Keywords:
- Communication in science Communication of technical information Technical writing
- Resource Type:
- Courseware
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Courseware
Like other scientists, medical researchers and clinicians must be capable of presenting their work to an audience of professional peers. Unlike many scientists, however, physicians must routinely translate their sophisticated knowledge into lay terms for their own patients and for the education of the public at large. A surprising number of physicians write for less utilitarian reasons as well, choosing the narrative essay as a means of exploring the non-technical issues that emerge in their clinical practice. Over the course of the semester, we will explore the full range of writings by physicians and other health practitioners.
- Subjects:
- English Language
- Keywords:
- Medical writing
- Resource Type:
- Courseware
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Courseware
In this course, you will be exposed to the work of many great documentary photographers and photojournalists, as well as to writing about the documentary tradition. Further, throughout the term, you will hone your photographic skills and 'eye,' and you will work on a photo documentary project of your own, attempting to reduce a tiny area of the moving world to a set of still images that convey what the viewer needs to know about what you saw—without hearing the sounds, smelling the odors, experiencing what was happening outside the viewfinder, and without seeing the motion.
- Subjects:
- Photography
- Keywords:
- Photojournalism Documentary photography
- Resource Type:
- Courseware
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Courseware
This course offers analysis and practice of various forms of scientific and technical writing, from memos to journal articles, in addition to strategies for conveying technical information to specialist and non-specialist audiences. Comparable to 21W.780 Communicating in Technical Organizations, but methods in this course are designed to deal with special problems of advanced ELS or bilingual students. The goal of the workshop is to develop effective writing skills for academic and professional contexts. Models, materials, topics and assignments vary from term to term.
- Subjects:
- English Language
- Keywords:
- Technical writing
- Resource Type:
- Courseware
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Courseware
We will explore images that pertain to the emergence of Japan as a modern state. We will focus on images that depict Japan as it comes into contact with the rest of the world after its long and deep isolation during the feudal period. We will also cover city planning of Tokyo that took place after WWII, and such topics as the 1964 Tokyo Olympics. A unique feature of this offering is that we will run it concurrently with the edX MOOC and two University of Tokyo MOOCs, Visualizing Postwar Tokyo and Four Faces of Contemporary Japanese Architecture, for much of the remainder of the class.
- Subjects:
- Area Studies, Visual Arts, and Building and Real Estate
- Keywords:
- Arts Japan
- Resource Type:
- Courseware
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Courseware
This course is an introduction to the theory and practice of the process of designing games and playful experiences. Students are familiarized with methods, concepts, techniques, and literature used in the design of games. The strategy is process-oriented, focusing on aspects such as: Rapid prototyping, play testing, and design iteration using a player-centered approach.
- Subjects:
- Interactive and Digital Media and Computing
- Keywords:
- Games
- Resource Type:
- Courseware
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Courseware
This course studies how international modernism interacted with the concept of "nation" and how contemporary discourses concerning globalism changes that dynamic. This course also looks at how art uses and critiques globalization on various levels.
- Keywords:
- Art globalization Nationalism art
- Resource Type:
- Courseware
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Courseware
This course proposes that investigating the ways in which territory is produced, maintained and strategized, generates conflicts, establishes divisions, and builds identities can lead to a more critical understanding of architecture's role in society. This course is designed to expand the student's literacy in the concept of territory and its relation to the realm of architecture.
- Keywords:
- Boundaries Architecture
- Resource Type:
- Courseware
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Courseware
This seminar explores “land” as a genre, theme, and medium of art and architecture of the last five decades. Focusing largely on work within the boundaries of the United States, the course seeks to understand how the use of land in art and architecture is bound into complicated entanglements of property and power, the inheritances of non-U.S. traditions, and the violence of colonial ambitions. The term “landscape” is variously deployed in the service of a range of political and philosophical positions.
- Keywords:
- Lscapes in art
- Resource Type:
- Courseware
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Courseware
This class is developed around the concept of disobedient interference within the existing models of production of space and knowledge. Modeling is the main modus operandi of the class as students will be required to make critical diagrammatic cuts through processes of production in different thematic registers – from chemistry, law and economy to art, architecture and urbanism – in order to investigate the sense of social responsibility and control over the complex agendas embedded in models that supports production of everyday objects and surroundings. Students will be encouraged to explore relations between material or immaterial aspects and agencies of production, whether they emerged as a consequence of connection of mind, body and space, or the infrastructural, geographical and ecological complexities of the Anthropocene. These production environments will be taken as modeling settings.
- Keywords:
- Space (Architecture) Architecture -- Philosophy
- Resource Type:
- Courseware
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Courseware
This course encourages creative thinking through hands-on experience via building, observing and manipulating micro-and nano-scale structures. Students learn about underlying science and engineering principles and possible applications.
- Subjects:
- Mechanical Engineering
- Keywords:
- Microtechnology Nanotechnology
- Resource Type:
- Courseware
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Courseware
6.0001 Introduction to Computer Science and Programming in Python is intended for students with little or no programming experience. It aims to provide students with an understanding of the role computation can play in solving problems and to help students, regardless of their major, feel justifiably confident of their ability to write small programs that allow them to accomplish useful goals. The class uses the Python 3.5 programming language.
- Subjects:
- Computing
- Keywords:
- Computer programming Computer science Python (Computer program language)
- Resource Type:
- Courseware
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Courseware
6.0002 is the continuation of 6.0001 Introduction to Computer Science and Programming in Python and is intended for students with little or no programming experience. It aims to provide students with an understanding of the role computation can play in solving problems and to help students, regardless of their major, feel justifiably confident of their ability to write small programs that allow them to accomplish useful goals. The class uses the Python 3.5 programming language.
- Subjects:
- Computing
- Keywords:
- Computer programming Computer science Python (Computer program language)
- Resource Type:
- Courseware
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Courseware
6.005 Software Construction introduces fundamental principles and techniques of software development, i.e., how to write software that is safe from bugs, easy to understand, and ready for change. The course includes problem sets and a final project. Important topics include specifications and invariants; testing; abstract data types; design patterns for object-oriented programming; concurrent programming and concurrency; and functional programming.
- Subjects:
- Computing
- Keywords:
- Computer programming Computer software -- Development
- Resource Type:
- Courseware
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Courseware
This is a graduate-level introduction to mathematics of information theory. We will cover both classical and modern topics, including information entropy, lossless data compression, binary hypothesis testing, channel coding, and lossy data compression.
- Subjects:
- Computing and Mathematics and Statistics
- Keywords:
- Information theory Information theory in mathematics
- Resource Type:
- Courseware
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Courseware
This course examines the policy, politics, planning, and engineering of transportation systems in urban areas, with a special focus on the Boston area. It covers the role of the federal, state, and local government and the MPO, public transit in the era of the automobile, analysis of current trends and pattern breaks; analytical tools for transportation planning, traffic engineering, and policy analysis; the contribution of transportation to air pollution, social costs, and climate change; land use and transportation interactions, and more. Transportation sustainability is a central theme throughout the course, as well as consideration of if and how it is possible to resolve the tension between the three E's (environment, economy, and equity). The goal of this course is to elicit discussion, stimulate independent thinking, and encourage students to understand and challenge the "conventional wisdom" of transportation planning.
- Subjects:
- Environmental Engineering and Transportation
- Keywords:
- Transportation engineering Transportation -- Planning
- Resource Type:
- Courseware
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Courseware
This course covers important concepts and techniques in designing and operating safety-critical systems. Topics include the nature of risk, formal accident and human error models, causes of accidents, fundamental concepts of system safety engineering, system and software hazard analysis, designing for safety, fault tolerance, safety issues in the design of human-machine interaction, verification of safety, creating a safety culture, and management of safety-critical projects. Includes a class project involving the high-level system design and analysis of a safety-critical system.
- Keywords:
- System safety Industrial safety
- Resource Type:
- Courseware
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Courseware
This International Study Tour went to New Zealand during the first half of the 2016 Spring semester and travel during the Sloan Innovation Period. International Study Tours provide students with a course credit opportunity to identify and address issues about which they feel particularly passionate. After classroom sessions featuring faculty, industry, and cultural experts, students embark on site visits to their destination of choice, meeting with industry and government leaders, as well as local alumni. Through these visits, students are able to build on the preparatory course work with an in-depth exploration of industries, companies, and countries they have visited.
- Subjects:
- Management
- Keywords:
- Management Technological innovations New zeal
- Resource Type:
- Courseware
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Courseware
In this course, students develop and polish communication strategies and methods through discussion, examples, and practice with an emphasizes on writing and speaking skills necessary for effective leaders. The course includes several oral and written assignments which are integrated with other subjects, and with career development activities, when possible.
- Subjects:
- Management and Communication
- Keywords:
- Business presentations Leadership Business communication
- Resource Type:
- Courseware
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Courseware
This course introduces interactive oral and interpersonal communication skills critical to leaders, including strategies for presenting to a hostile audience, running effective and productive meetings, active listening, and contributing to group decision-making. There are team-run classes on chosen communication topics, and an individual analysis of leadership qualities and characteristics. Students deliver an oral presentation and an executive summary, both aimed at a business audience.
- Subjects:
- Communication
- Keywords:
- Interpersonal communication Business communication
- Resource Type:
- Courseware
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Courseware
This course seeks to establish understanding of the development processes of societies and economies by studying several dimensions of sustainability (environmental, social, political, institutional, economy, organizational, relational, and personal) and the balance among them. It explores the basics of governmental intervention, focusing on areas such as the judicial system, environment, social security, and health, and builds skills to determine what type of policy is most appropriate. We also consider implications of new technologies on the financial sector: Internationalization of currencies, mobile payment systems, and cryptocurrencies, and discuss the institutional framework to ensure choices are sustainable across all dimensions and applications.
- Subjects:
- Economics
- Keywords:
- Sustainability Electronic funds transfers Macroeconomics Internstional economic relations
- Resource Type:
- Courseware
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Courseware
This course examines opportunities and problems for entrepreneurs globally, including Europe, Latin America, and Asia. Linkages between the business environment, the institutional framework, and new venture creation are covered with a special focus on blockchain technology. In addition to discussing a range of global entrepreneurial situations, student groups pick one particular cluster on which to focus and to understand what further development would entail. Classroom interactions are based primarily on case studies.
- Subjects:
- Management, Finance, and Business Information Technology
- Keywords:
- Entrepreneurship Blockchains (Databases) International business enterprises
- Resource Type:
- Courseware
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Courseware
This course offers an introduction to ethics in business, with a focus on business management. Students explore theoretical concepts in business ethics, and cases representing the challenges they will likely face as managers. There is opportunity to work with guest faculty as well as business and other professional practitioners. Individual class sessions take the form of moderated discussion, with occasional short lectures from the instructor.
- Subjects:
- Business Ethics
- Keywords:
- Business ethics Social responsibility of business
- Resource Type:
- Courseware