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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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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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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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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
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Courseware
This course provides an overview of macroeconomic issues: the determination of output, employment, unemployment, interest rates, and inflation. Monetary and fiscal policies are discussed. Important policy debates such as, the sub-prime crisis, social security, the public debt, and international economic issues are critically explored. The course introduces basic models of macroeconomics and illustrates principles with the experience of the U.S. and foreign economies.
- Subjects:
- Economics
- Keywords:
- Macroeconomics
- Resource Type:
- Courseware
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Courseware
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.
- Subjects:
- Environmental Engineering
- Keywords:
- Water -- Purification Drinking water -- Purification Sewage -- Purification
- Resource Type:
- Courseware
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Courseware
Principles of Microeconomics is an introductory undergraduate course that teaches the fundamentals of microeconomics. This course introduces microeconomic concepts and analysis, supply and demand analysis, theories of the firm and individual behavior, competition and monopoly, and welfare economics. Students will also be introduced to the use of microeconomic applications to address problems in current economic policy throughout the semester. This course is a core subject in MIT's undergraduate Energy Studies Minor. This Institute-wide program complements the deep expertise obtained in any major with a broad understanding of the interlinked realms of science, technology, and social sciences as they relate to energy and associated environmental challenges.
- Subjects:
- Economics
- Keywords:
- Microeconomics
- Resource Type:
- Courseware
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Courseware
Financial Management studies corporate finance and capital markets, emphasizing the financial aspects of managerial decisions. It touches on all areas of finance, including the valuation of real and financial assets, risk management and financial derivatives, the trade-off between risk and expected return, and corporate financing and dividend policy. The course draws heavily on empirical research to help guide managerial decisions.
- Subjects:
- Finance
- Keywords:
- Investments Finance Corporations -- Finance
- Resource Type:
- Courseware
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Courseware
This class serves as an introduction to mass transport in environmental flows, with emphasis given to river and lake systems. The class will cover the derivation and solutions to the differential form of mass conservation equations. Class topics to be covered will include: molecular and turbulent diffusion, boundary layers, dissolution, bed-water exchange, air-water exchange and particle transport.
- Subjects:
- Environmental Engineering and Transportation
- Keywords:
- Water -- Pollution Hydrodynamics Diffusion in hydrology Oceanic mixing
- Resource Type:
- Courseware
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Courseware
This class is designed to expose you to the cycles of disasters, the roots of emergency planning in the U.S., how to understand and map vulnerabilities, and expose you to the disaster planning in different contexts, including in developing countries.
- Subjects:
- Disaster Control and Management
- Keywords:
- Hazard mitigation Emergency management Disaster relief
- Resource Type:
- Courseware
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Courseware
This is an accelerated introduction to MATLAB® and its popular toolboxes. Lectures are interactive, with students conducting sample MATLAB problems in real time. The course includes problem-based MATLAB assignments. Students must provide their own laptop and software. This is great preparation for classes that use MATLAB.
- Subjects:
- Computing
- Keywords:
- Engineering mathematics -- Data processing MATLAB Numerical analysis -- Computer programs
- 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
This subject focuses on the specifics of strategy and organization of the multinational company, and provides a framework for formulating successful and adaptive strategies in an increasingly complex world economy. Topics include the globalization of industries, the continuing role of country factors in competition, organization of multinational enterprises, and building global networks. This particular version of the subject is taught and tailored specifically to those enrolled in the MIT Sloan Fellows Program.
- Subjects:
- Management
- Keywords:
- International business enterprises -- Management Globalization
- Resource Type:
- Courseware
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Courseware
Project Evaluation covers methodologies for evaluating civil engineering projects, which typically are large-scale and long-lived and involve many economic, financial, social and environmental factors. The course places an emphasis on dealing with uncertainty. Students learn basic techniques of engineering economics, including net present value analysis, life-cycle costing, benefit-cost analysis, and other approaches to project evaluation. Examples are drawn from both contemporary and historical projects in various fields, including transportation systems, urban development, energy and environmental projects, water resource management, telecommunications systems, and other elements of the public and private projects and programs.
- Subjects:
- Building and Real Estate
- Keywords:
- Sustainable engineering Infrastructure (Economics) Project management
- Resource Type:
- Courseware
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Courseware
This class assesses current and potential future energy systems, covering resources, extraction, conversion, and end-use technologies, with emphasis on meeting regional and global energy needs in the 21st century in a sustainable manner. Instructors and guest lecturers will examine various renewable and conventional energy production technologies, energy end-use practices and alternatives, and consumption practices in different countries. Students will learn a quantitative framework to aid in evaluation and analysis of energy technology system proposals in the context of engineering, political, social, economic, and environmental goals. Students taking the graduate version, Sustainable Energy, complete additional assignments.
- Subjects:
- Environmental Engineering and Building Services Engineering
- Keywords:
- Energy consumption -- Environmental aspects Renewable energy sources Sustainable development
- Resource Type:
- Courseware
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Courseware
This course teaches the principles and analysis of electromechanical systems. Students will develop analytical techniques for predicting device and system interaction characteristics as well as learn to design major classes of electric machines. Problems used in the course are intended to strengthen understanding of the phenomena and interactions in electromechanics, and include examples from current research.
- Subjects:
- Building Services Engineering and Electrical Engineering
- Keywords:
- Electric machines Electric machinery
- Resource Type:
- Courseware
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Courseware
Fundamentals of photoelectric conversion: charge excitation, conduction, separation, and collection. Lectures cover commercial and emerging photovoltaic technologies and cross-cutting themes, including conversion efficiencies, loss mechanisms, characterization, manufacturing, systems, reliability, life-cycle analysis, risk analysis, and technology evolution in the context of markets, policies, society, and environment.
- Subjects:
- Environmental Engineering and Building Services Engineering
- Keywords:
- Photovoltaic cells Photovoltaic power systems Photovoltaic power generation
- Resource Type:
- Courseware
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Courseware
This course provides students with a scientific foundation of anthropogenic climate change and an introduction to climate models. It focuses on fundamental physical processes that shape climate (e.g. solar variability, orbital mechanics, greenhouse gases, atmospheric and oceanic circulation, and volcanic and soil aerosols) and on evidence for past and present climate change. During the course they discuss material consequences of climate change, including sea level change, variations in precipitation, vegetation, storminess, and the incidence of disease. This course also examines the science behind mitigation and adaptation proposals.
- Subjects:
- Environmental Engineering
- Keywords:
- Global temperature changes Climatic changes Global warming
- Resource Type:
- Courseware
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Courseware
This course focuses on the thermal, luminous, and acoustic behavior of buildings, examining the basic scientific principles underlying these phenomena and introducing students to technologies and analysis techniques for designing comfortable indoor environments. Students are challenged to apply these techniques and explore the role light, energy, and sound can play in shaping architecture.
- Subjects:
- Environmental Engineering and Building Services Engineering
- Keywords:
- Buildings -- Environmental engineering Sustainable buildings -- Design construction
- Resource Type:
- Courseware
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Courseware
Vibrations and waves are everywhere. If you take any system and disturb it from a stable equilibrium, the resultant motion will be waves and vibrations. Think of a guitar string—pluck the string, and it vibrates. The sound waves generated make their way to our ears, and we hear the string’s sound. Our eyes see what’s happening because they receive the electromagnetic waves of the light reflected from the guitar string, so that we can recognize the beautiful sinusoidal waves on the string.
- Subjects:
- Physics
- Keywords:
- Waves Vibration
- Resource Type:
- Courseware
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Courseware
This project-based course will explore the future of textiles, focusing particularly on blending rich crafting traditions with new technologies. Topics will include textile-based electronics, textile fabrication, algorithmic pattern design, and composites. We will experiment with a wide range of fibers, yarns, and fabrics including traditional materials like wool and cotton as well as metal fibers and yarns, fusible plastics, papers, and resins. We will also explore techniques like felting, laser cutting, CNC knitting, digital printing, and CNC embroidery. Students will complete weekly hands-on assignments and a final project.
- Subjects:
- Textiles
- Keywords:
- Textile fabrics Textile fibers Textile industry
- Resource Type:
- Courseware
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Courseware
This seminar introduces, through studio projects, the basic principles regarding the use of color in the visual arts. Students explore a range of topics, including the historical uses of color in the arts, the interactions between colors, and the psychology of color.
- Subjects:
- Coloration and finishing and Visual Arts
- Keywords:
- Color in art Colors
- Resource Type:
- Courseware
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Courseware
This course aims to give students the tools and training to recognize convex optimization problems that arise in scientific and engineering applications, presenting the basic theory, and concentrating on modeling aspects and results that are useful in applications. Topics include convex sets, convex functions, optimization problems, least-squares, linear and quadratic programs, semidefinite programming, optimality conditions, and duality theory. Applications to signal processing, control, machine learning, finance, digital and analog circuit design, computational geometry, statistics, and mechanical engineering are presented. Students complete hands-on exercises using high-level numerical software.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Convex functions Mathematical optimization
- Resource Type:
- Courseware
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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
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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Courseware
This course provides an introduction to continuum mechanics and material modelling of engineering materials based on first energy principles: deformation and strain; momentum balance, stress and stress states; elasticity and elasticity bounds; plasticity and yield design. The overarching theme is a unified mechanistic language using thermodynamics, which allows understanding, modelling and design of a large range of engineering materials.
- Subjects:
- Physics
- Keywords:
- Continuum mechanics Solid state physics 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
This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, quadratic forms, and canonical forms of matrices.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebras Linear
- Resource Type:
- Courseware
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Courseware
This course provides an introduction to optical science with elementary engineering applications. Topics covered in geometrical optics include: ray-tracing, aberrations, lens design, apertures and stops, radiometry and photometry. Topics covered in wave optics include: basic electrodynamics, polarization, interference, wave-guiding, Fresnel and Fraunhofer diffraction, image formation, resolution, space-bandwidth product. Analytical and numerical tools used in optical design are emphasized. Graduate students are required to complete assignments with stronger analytical content, and an advanced design project.
- Subjects:
- Physics
- Keywords:
- Optics Geometrical optics
- Resource Type:
- Courseware
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Courseware
This subject deals primarily with the basic principles to understand the structure and reactivity of organic molecules. Emphasis is on substitution and elimination reactions and chemistry of the carbonyl group. The course also provides an introduction to the chemistry of aromatic compounds.
- Subjects:
- Chemistry
- Keywords:
- Carbonyl compounds Molecular structure Chemistry Organic Aromatic compounds
- 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
The MIT Biology Department core Introductory Biology courses, 7.012, 7.013, 7.014, 7.015, and 7.016 all cover the same core material, which includes the fundamental principles of biochemistry, genetics, molecular biology, and cell biology. The focus of 7.013 is on genomic approaches to human biology, including neuroscience, development, immunology, tissue repair and stem cells, tissue engineering, and infectious and inherited diseases, including cancer.
- Subjects:
- Biology
- Keywords:
- Human biology Biology
- Resource Type:
- Courseware
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Courseware
This course provides ways to analyze manufacturing systems in terms of material flow and storage, information flow, capacities, and times and durations of events. Fundamental topics include probability, inventory and queuing models, optimization, and linear and dynamic systems. Factory planning and scheduling topics include flow planning, bottleneck characterization, buffer and batch-size analysis, and dynamic behavior of production systems.
- Subjects:
- Logistics and Industrial and Systems Engineering
- Keywords:
- Manufacturing processes Production planning Production engineering
- Resource Type:
- Courseware
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Courseware
This seminar will be a scientific exploration of the food we eat and enjoy. Each week we shall have a scientific edible experiment that will explore a specific food topic. This will be a hands-on seminar with mandatory attendance of at least 85%. Topics include, but are not limited to, what makes a good experiment, cheese making, joys of tofu, food biochemistry, the science of spice, what is taste?
- Subjects:
- Chemistry and Food Science
- Keywords:
- Food -- Composition Chemical reactions Science -- Experiments
- Resource Type:
- Courseware
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Courseware
This class includes a brief review of applied aerodynamics and modern approaches in aircraft stability and control. Topics covered include static stability and trim; stability derivatives and characteristic longitudinal and lateral-directional motions; and physical effects of the wing, fuselage, and tail on aircraft motion. Control methods and systems are discussed, with emphasis on flight vehicle stabilization by classical and modern control techniques; time and frequency domain analysis of control system performance; and human-pilot models and pilot-in-the-loop controls with applications. Other topics covered include V/STOL stability, dynamics, and control during transition from hover to forward flight; parameter sensitivity; and handling quality analysis of aircraft through variable flight conditions. There will be a brief discussion of motion at high angles-of-attack, roll coupling, and other nonlinear flight regimes.
- Subjects:
- Aeronautical and Aviation Engineering
- Keywords:
- Stability of airplanes Flight control
- Resource Type:
- Courseware
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Courseware
This course provides an overview of airline management decision processes with a focus on economic issues and their relationship to operations planning models and decision support tools. It emphasizes the application of economic models of demand, pricing, costs, and supply to airline markets and networks, and it examines industry practice and emerging methods for fleet planning, route network design, scheduling, pricing and revenue management.
- Subjects:
- Aeronautical and Aviation Engineering and Hotel, Travel and Tourism
- Keywords:
- Airlines -- Management
- Resource Type:
- Courseware
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Courseware
This course presents aerospace propulsive devices as systems, with functional requirements and engineering and environmental limitations along with requirements and limitations that constrain design choices. Both air-breathing and rocket engines are covered, at a level which enables rational integration of the propulsive system into an overall vehicle design. Mission analysis, fundamental performance relations, and exemplary design solutions are presented.
- Subjects:
- Aeronautical and Aviation Engineering
- Keywords:
- Airplanes -- Jet propulsion Space vehicles -- Propulsion systems
- Resource Type:
- Courseware
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Courseware
This course adopts a holistic view of the aircraft as a system, covering: basic systems engineering; cost and weight estimation; basic aircraft performance; safety and reliability; lifecycle topics; aircraft subsystems; risk analysis and management; and system realization.
- Subjects:
- Aeronautical and Aviation Engineering
- Keywords:
- Airplanes -- Design construction
- Resource Type:
- Courseware
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Courseware
Students of this course will learn to design, build, and debug printed-circuit-boards.
- Subjects:
- Aeronautical and Aviation Engineering and Electrical Engineering
- Keywords:
- Avionics Printed circuits -- Design construction
- 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 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
This course covers signals, systems and inference in communication, control and signal processing. Topics include input-output and state-space models of linear systems driven by deterministic and random signals; time- and transform-domain representations in discrete and continuous time; and group delay. State feedback and observers. Probabilistic models; stochastic processes, correlation functions, power spectra, spectral factorization. Least-mean square error estimation; Wiener filtering. Hypothesis testing; detection; matched filters.
- Subjects:
- Electronic and Information Engineering|Electrical Engineering
- Keywords:
- Signal processing Signal theory (Telecommunication) System analysis
- 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 covers the fundamentals of signal and system analysis, focusing on representations of discrete-time and continuous-time signals (singularity functions, complex exponentials and geometrics, Fourier representations, Laplace and Z transforms, sampling) and representations of linear, time-invariant systems (difference and differential equations, block diagrams, system functions, poles and zeros, convolution, impulse and step responses, frequency responses). Applications are drawn broadly from engineering and physics, including feedback and control, communications, and signal processing.
- Subjects:
- Electrical Engineering
- Keywords:
- Signal processing System analysis
- Resource Type:
- Courseware
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Courseware
The course addresses dynamic systems, i.e., systems that evolve with time. Typically these systems have inputs and outputs; it is of interest to understand how the input affects the output (or, vice-versa, what inputs should be given to generate a desired output). In particular, this course will concentrates on systems that can be modeled by Ordinary Differential Equations (ODEs), and that satisfy certain linearity and time-invariance conditions.
- Subjects:
- Computing
- Keywords:
- Mathematical models Dynamics System theory
- Resource Type:
- Courseware
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