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Affiliation
Massachusetts Institute of Technology
Remove constraint Affiliation: Massachusetts Institute of Technology
Year
2016
Remove constraint Year: 2016
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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