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Massachusetts Institute of Technology
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Courseware
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:
A complete set of Lecture Videos by Professor Gilbert Strang.
Summary Notes for all videos along with suggested readings in Prof. Strang’s textbook Linear Algebra.
Problem Solving Videos on every topic taught by an experienced MIT Recitation Instructor.
Problem Sets to do on your own with Solutions to check your answers against when you’re done.
A selection of Java® Demonstrations to illustrate key concepts.
A full set of Exams with Solutions, including review material to help you prepare.
- Course related:
- AMA1120 Basic Mathematics II
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebras Linear
- Resource Type:
- Courseware
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Video
Lecture videos from Gilbert Strang's course on Linear Algebra at MIT.
- Course related:
- AMA1120 Basic Mathematics II - Calculus and Linear Algebra
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebras Linear
- Resource Type:
- Video
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MOOC
This course covers the fundamentals of advanced fluid mechanics: including its connections to continuum mechanics more broadly, hydrostatics, buoyancy and rigid body accelerations, inviscid flow, and the application of Bernoulli’s theorems, as well as applications of control volume analysis for more complex fluid flow problems of engineering interest. This course features lecture and demo videos, lecture concept checks, practice problems, and extensive problem sets.
This course is the first of a three-course sequence in incompressible fluid mechanics: Advanced Fluid Mechanics: Fundamentals, Advanced Fluid Mechanics: The Navier-Stokes Equations for Viscous Flows, and Advanced Fluid Mechanics: Potential Flows, Lift, Circulation & Boundary Layers. The series is based on material in MIT’s class 2.25 Advanced Fluid Mechanics, one of the most popular first-year graduate classes in MIT’s Mechanical Engineering Department. This series is designed to help people gain the ability to apply the governing equations, the principles of dimensional analysis and scaling theory to develop physically-based, approximate models of complex fluid physics phenomena. People who complete these three consecutive courses will be able to apply their knowledge to analyze and break down complex problems they may encounter in industrial and academic research settings.
`The material is of relevance to engineers and scientists across a wide range of mechanical chemical and process industries who must understand, analyze and optimize flow processes and fluids handling problems. Applications are drawn from hydraulics, aero & hydrodynamics as well as the chemical process industries.
- Subjects:
- Mechanical Engineering
- Keywords:
- Fluid mechanics
- Resource Type:
- MOOC
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Video
Professor Strang describes independent vectors and the column space of a matrix as a good starting point for learning linear algebra. His outline develops the five shorthand descriptions of key chapters of linear algebra.
- Course related:
- COMP4432 Machine Learning
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebras Linear
- Resource Type:
- Video
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Video
In this lecture, we consider strategies for adversarial games such as chess. We discuss the minimax algorithm, and how alpha-beta pruning improves its efficiency. We then examine progressive deepening, which ensures that some answer is always available.
- Course related:
- COMP4431 Artificial Intelligence
- Subjects:
- Computing and Mathematics and Statistics
- Keywords:
- Artificial intelligence
- Resource Type:
- Video
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Courseware
This course studies what is language and what does knowledge of a language consist of. It asks how do children learn languages and is language unique to humans; why are there many languages; how do languages change; is any language or dialect superior to another; and how are speech and writing related. Context for these and similar questions is provided by basic examination of internal organization of sentences, words, and sound systems. No prior training in linguistics is assumed.
- Subjects:
- English Language and Language and Languages
- Keywords:
- Linguistics
- 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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Video
This channel contains the complete 8.01x (Physics I: Classical Mechanics), 8.02x (Physics II: Electricity and Magnetism) and 8.03 (Physics III: Vibrations and Waves) lectures as presented by Walter Lewin in the fall of 1999, spring of 2002 and fall of 2004. The 8.01x and 8.02x edX lectures are high resolution (480p) versions of the more commonly seen OCW versions. Some edits were also made by Lewin. 8.03 is the OCW version, also in a 480p resolution. Links to lecture notes, assignments/solutions and exams/solutions are added. Playlists with Help Sessions for 8.01x, 8.02x and 8.03 are also available. They are "mini lectures". The problems discussed in these videos should be apparent after watching the first few minutes. Other playlists show Lewin in various appearances and his Bi-Weekly Physics problems/solutions and several excellent lectures by Feynman and others.
- Subjects:
- Physics and Electrical Engineering
- Keywords:
- Waves Vibration Magnetism Mechanics Electricity Physics
- Resource Type:
- Video
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MOOC
Many natural and man-made structures can be modeled as assemblages of interconnected structural elements loaded along their axis (bars), in torsion (shafts) and in bending (beams). In this course you will learn to use equations for static equilibrium, geometric compatibility and constitutive material response to analyze structural assemblages. This course provides an introduction to behavior in which the shape of the structure is permanently changed by loading the material beyond its elastic limit (plasticity), and behavior in which the structural response changes over time (viscoelasticity). This is the second course in a 3-part series. In this series you will learn how mechanical engineers can use analytical methods and “back of the envelope” calculations to predict structural behavior. The three courses in the series are: Part 1 – 2.01x: Elements of Structures. (Elastic response of Structural Elements: Bars, Shafts, Beams). Fall Term Part 2 – 2.02.1x Mechanics of Deformable Structures: Part 1. (Assemblages of Elastic, Elastic-Plastic, and Viscoelastic Bars in axial loading). Spring Term Part 3 – 2.02.2x Mechanics of Deformable Structures: Part 2. (Assemblages of bars, shafts, and beams. Multi-axial Loading and Deformation. Energy Methods). Summer Term
- Subjects:
- Mechanical Engineering
- Keywords:
- Strength of materials Deformations (Mechanics)
- Resource Type:
- MOOC
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MOOC
Meeting growing global energy demand, while mitigating climate change and environmental impacts, requires a large-scale transition to clean, sustainable energy systems. Students and professionals around the world must prepare for careers in this future energy landscape, gaining relevant skills and knowledge to expedite the transformation in industry, government and nongovernmental organizations, academia, and nonprofits. The building sector represents a large percentage of overall energy consumption, and contributes 40% of the carbon emissions driving climate change. Yet buildings also offer opportunities for substantial, economical energy efficiency gains. From retrofit projects to new construction, buildings require a context-specific design process that integrates efficiency strategies and technologies. In this course, you'll be introduced to a range of technologies and analysis techniques for designing comfortable, resource-efficient buildings. The primary focus of this course is the study of the thermal and luminous behavior of buildings. You'll examine the basic scientific principles underlying these phenomena, and use computer-aided design software and climate data to explore the role light and energy can play in shaping architecture. These efficiency design elements are critical to the larger challenge of producing energy for a growing population while reducing carbon emissions.
- Subjects:
- Environmental Engineering, Building Services Engineering, and Building and Real Estate
- Keywords:
- Buildings -- Energy conservation Sustainable architecture Sustainable buildings -- Design construction
- Resource Type:
- MOOC
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MOOC
Cities are built site by site. Site planning has been taught in urban planning, landscape architecture and architecture programs for over a century and continues to be a foundation course for those who aspire to plan the built environment. It is a required subject on licensing and certification programs for each of these disciplines. Mastering the art of site planning requires substantive knowledge, well-honed design skills, and familiarity with examples and prototypes of site organization. This course provides the perspectives of leading academics and practitioners on the important issues in preparing site plans. It offers a foundation of knowledge, and the opportunity to apply what is learned in preparing a site plan.
- Subjects:
- Environmental Engineering, Building Services Engineering, and Building and Real Estate
- Keywords:
- Building sites -- Planning
- Resource Type:
- MOOC
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Courseware
This course discusses the evolution and role of urban public transportation modes, systems, and services, focusing on bus and rail. It covers various topics, including current practice and new methods for data collection and analysis, performance monitoring, route design, frequency determination, vehicle and crew scheduling, effect of pricing policy and service quality on ridership.
- Subjects:
- Transportation
- Keywords:
- Urban transportation -- Management Local transit Urban transportation -- Planning
- Resource Type:
- Courseware
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MOOC
This short course is adapted from a semester length graduate level coursetaught at MIT covering Qualitative Research Methods. This online course will focus specifically on teaching how to prepare for and conduct a conversational interview for data gathering purposes. We will also discuss the nature of qualitative research as a methodology, how it compares and differs from other forms of research, and how qualitative and quantitative research complement each other in a research project. This isthe first in a multi-part series which will be released over the coming year, which will focus on Conversational Interviewing, Data Analysis, and Constructing Theory. You might have encountered other forms of interview techniques in your studies and training. The form that we are teaching is the preferred method of Professor Silbey's, one that she has used extensively throughout her career. The goal is to construct an interview protocol such that you will be able to guide your interviewee through topics of interest to your study without bringing them up explicitly, in order to explore experiences and accounts without pointing respondents in particular directions. Not sure what an interview protocol is? No problem! You will by the end of the course.
- Subjects:
- Statistics and Research Methods
- Keywords:
- Conversation analysis Qualitative research -- Methodology Social sciences -- Research -- Methodology Interviewing
- Resource Type:
- MOOC
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Courseware
This course aims to get students thinking about politics and policy as a part of their everyday life.
- Subjects:
- Political Science and Sociology
- Keywords:
- Policy sciences Political planning
- Resource Type:
- Courseware
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Courseware
This course gives an overview of engineering management and covers topics such as financial principles, management of innovation, technology strategy, and best management practices. The focus of the course is the development of individual skills and team work. This is carried out through an exposure to management tools.
- Subjects:
- Building Services Engineering and Building and Real Estate
- Keywords:
- Engineering -- Management
- Resource Type:
- Courseware
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Courseware
The half-semester graduate course in Green Supply Chain Management will focus on the fundamental strategies, tools and techniques required to analyze and design environmentally sustainable supply chain systems. Topics covered include: Closed-loop supply chains, reverse logistics systems, carbon footprinting, life-cycle analysis and supply chain sustainability strategy. Class sessions will combine presentations, case discussions and guest speakers. All students will work on a course-long team project that critically evaluates the environmental supply chain strategy of an industry or a publicly traded company. Grades will be based on class participation, case study assignments and the team project.
- Subjects:
- Logistics and Industrial and Systems Engineering
- Keywords:
- Business logistics Industrial management
- Resource Type:
- Courseware
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Courseware
This course covers the fundamental concepts of structural mechanics with applications to marine, civil, and mechanical structures. Topics include analysis of small deflections of beams, moderately large deflections of beams, columns, cables, and shafts; elastic and plastic buckling of columns, thin walled sections and plates; exact and approximate methods; energy methods; principle of virtual work; introduction to failure analysis of structures. We will include examples from civil, mechanical, offshore, and ship structures such as the collision and grounding of ships.
- Subjects:
- Structural Engineering and Mechanical Engineering
- Keywords:
- Structural analysis (Engineering)
- 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
This course provides students with concepts, techniques and tools to design, analyze, and improve core operational capabilities, and apply them to a broad range of application domains and industries. It emphasizes the effect of uncertainty in decision-making, as well as the interplay between high-level financial objectives and operational capabilities. Topics covered include production control, risk pooling, quality management, process design, and revenue management. Also included are case studies, guest lectures, and simulation games which demonstrate central concepts.
- Subjects:
- Logistics
- Keywords:
- Production management
- Resource Type:
- Courseware