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Massachusetts Institute of Technology
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Courseware
Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODE's) deal with functions of one variable, which can often be thought of as time.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Differential equations
- Resource Type:
- Courseware
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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 is an intermediate algorithms course with an emphasis on teaching techniques for the design and analysis of efficient algorithms, emphasizing methods of application. Topics include divide-and-conquer, randomization, dynamic programming, greedy algorithms, incremental improvement, complexity, and cryptography.
- Subjects:
- Computing
- Keywords:
- Algorithms
- Resource Type:
- Courseware
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Courseware
This course introduces the foundations of database systems, focusing on basics such as the relational algebra and data model, schema normalization, query optimization, and transactions. It is designed for students who have taken 6.033 (or equivalent); no prior database experience is assumed, though students who have taken an undergraduate course in databases are encouraged to attend.
- Subjects:
- Computing
- Keywords:
- Database management
- Resource Type:
- Courseware
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Courseware
This course introduces concepts of supply chain design and operations with a focus on supply chains for products destined to improve quality of life in developing countries. Topics include demand estimation, capacity planning and process analysis, inventory management, and supply chain coordination and performance. We also cover issues specific to emerging markets, such as sustainable supply chains, how to couple product design with supply chain design and operation, and how to account for the value-adding role of a supply chain. A major aspect of class is the student projects on supply chain design or improvement.
- Subjects:
- Logistics
- Keywords:
- Business logistics
- Resource Type:
- Courseware
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Courseware
6.858 Computer Systems Security is a class about the design and implementation of secure computer systems. Lectures cover threat models, attacks that compromise security, and techniques for achieving security, based on recent research papers. Topics include operating system (OS) security, capabilities, information flow control, language security, network protocols, hardware security, and security in web applications.
- Subjects:
- Computing
- Keywords:
- Data protection Computer security Computer networks -- Security measures Data encryption (Computer science)
- Resource Type:
- Courseware
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Courseware
With the growing availability and lowering costs of genotyping and personal genome sequencing, the focus has shifted from the ability to obtain the sequence to the ability to make sense of the resulting information. This course is aimed at exploring the computational challenges associated with interpreting how sequence differences between individuals lead to phenotypic differences in gene expression, disease predisposition, or response to treatment.
- Subjects:
- Computing and Biology
- Keywords:
- Genomics Genomes
- Resource Type:
- Courseware
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Courseware
This course introduces architecture of digital systems, emphasizing structural principles common to a wide range of technologies. It covers the topics including multilevel implementation strategies, definition of new primitives (e.g., gates, instructions, procedures, processes) and their mechanization using lower-level elements. It also includes analysis of potential concurrency, precedence constraints and performance measures, pipelined and multidimensional systems, instruction set design issues and architectural support for contemporary software structures.
- Subjects:
- Electrical Engineering and Computing
- Keywords:
- Digital electronics
- 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 covers the basics of J2ME and explores mobile imaging and media creation, GPS location, user-centered design, usability testing, and prototyping. Java experience is recommended.
- Subjects:
- Computing
- Keywords:
- Mobile apps Mobile computing Cell phone systems Application software -- Development
- Resource Type:
- Courseware
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Courseware
This first course in the physics curriculum introduces classical mechanics. Historically, a set of core concepts—space, time, mass, force, momentum, torque, and angular momentum—were introduced in classical mechanics in order to solve the most famous physics problem, the motion of the planets. The principles of mechanics successfully described many other phenomena encountered in the world. Conservation laws involving energy, momentum and angular momentum provided a second parallel approach to solving many of the same problems. In this course, we will investigate both approaches: Force and conservation laws. Our goal is to develop a conceptual understanding of the core concepts, a familiarity with the experimental verification of our theoretical laws, and an ability to apply the theoretical framework to describe and predict the motions of bodies.
- Subjects:
- Physics
- Keywords:
- Kinematics Torque Mass (Physics) Angular momentum Force energy Motion Mechanics
- Resource Type:
- Courseware
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Courseware
This subject is the first semester of four that forms an introduction to modern standard Chinese, commonly called Mandarin, the language with the largest number of native speakers in the world. It is the official language of Mainland China and Taiwan, and one of the official languages of Singapore. The course presupposes no prior background in the language. Course objectives are to master Mandarin pronunciation, including the recognition and writing of Pinyin romanization, basic reading and writing skills (around 150 characters in the traditional character set or the simplified set), and to develop the ability to participate in simple, practical conversations on everyday topics. The relationship between Chinese language and culture and the sociolinguistically appropriate use of language will be stressed throughout. Typical class format will include performance of memorized basic conversations, drills, questions and discussion, and various types of communicative exercises.
- Subjects:
- Foreign Language Learning and Chinese Studies
- Keywords:
- Chinese language -- Dialects Marin dialects -- Pronunciation
- Resource Type:
- Courseware
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Courseware
The course is taught using the textbook by T. Apostol, "Calculus" Vol. I Second Edition (1967) and the additional course notes by James Raymond Munkres, Professor of Mathematics, Emeritus.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Calculus Mathematical analysis
- Resource Type:
- Courseware
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e-book
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Calculus Textbooks
- Resource Type:
- e-book
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e-book
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Calculus Textbooks
- Resource Type:
- e-book
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Courseware
This course presents the fundamentals of digital signal processing with particular emphasis on problems in biomedical research and clinical medicine. It covers principles and algorithms for processing both deterministic and random signals. Topics include data acquisition, imaging, filtering, coding, feature extraction, and modeling. The focus of the course is a series of labs that provide practical experience in processing physiological data, with examples from cardiology, speech processing, and medical imaging. The labs are done in MATLAB® during weekly lab sessions that take place in an electronic classroom. Lectures cover signal processing topics relevant to the lab exercises, as well as background on the biological signals processed in the labs.
- Subjects:
- Biomedical Engineering and Medical Imaging
- Keywords:
- Biomedical engineering Signal processing Image processing
- Resource Type:
- Courseware
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Courseware
This course is an advanced treatment of biochemical mechanisms that underlie biological processes. Topics include macromolecular machines such as the ribosome, the proteasome, fatty acid synthases as a paradigm for polyketide synthases and non-ribosomal polypeptide synthases, and polymerases. 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.
- Subjects:
- Biochemistry and Biology
- Keywords:
- Biochemistry
- Resource Type:
- Courseware
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Courseware
This course provides students with a basic knowledge of structural analysis and design for buildings, bridges and other structures. The course emphasizes the historical development of structural form and the evolution of structural design knowledge, from Gothic cathedrals to long span suspension bridges. Students will investigate the behavior of structural systems and elements through design exercises, case studies, and load testing of models. Students will design structures using timber, masonry, steel, and concrete and will gain an appreciation of the importance of structural design today, with an emphasis on environmental impact of large scale construction.
- Subjects:
- Structural Engineering
- Keywords:
- Structural design Structural analysis (Engineering)
- 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 includes interactive demonstrations which are intended to stimulate interest and to help students gain intuition about how artificial intelligence methods work under a variety of circumstances.
- Subjects:
- Computing
- Keywords:
- Artificial intelligence
- Resource Type:
- Courseware