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Description

A large proportion of contemporary research on organizations, strategy and management relies on quantitative research methods. This course is designed to provide an introduction to some of the most commonly used quantitative techniques, including logit/probit models, count models, event history models, and pooled cross-section techniques. A large proportion of contemporary research on organizations, strategy and management relies on quantitative research methods. This course is designed to provide an introduction to some of the most commonly used quantitative techniques, including logit/probit models, count models, event history models, and pooled cross-section techniques.Subjects

contemporary research on organizations | contemporary research on organizations | strategy and management | strategy and management | quantitative research methods | quantitative research methods | quantitative techniques | quantitative techniques | including logit/probit models | including logit/probit models | count models | count models | event history models | event history models | pooled cross-section techniques | pooled cross-section techniquesLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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15.616 is an introduction to business law which covers the fundamentals, including contracts, liability, regulation, employment, and corporations, with an in-depth treatment of the legal issues relating to breakthrough technologies, including the legal framework of R&D, the commercialization of new high-technology products in start-ups and mature companies, and the liability and regulatory implications of new products and innovative business models. There is extensive attention to national and international intellectual property protection and strategies. Examples are drawn from many industries, including information technology, communications, and life sciences. Note: This course used to be numbered 15.648. 15.616 is an introduction to business law which covers the fundamentals, including contracts, liability, regulation, employment, and corporations, with an in-depth treatment of the legal issues relating to breakthrough technologies, including the legal framework of R&D, the commercialization of new high-technology products in start-ups and mature companies, and the liability and regulatory implications of new products and innovative business models. There is extensive attention to national and international intellectual property protection and strategies. Examples are drawn from many industries, including information technology, communications, and life sciences. Note: This course used to be numbered 15.648.Subjects

geomorphic processes | geomorphic processes | climate | climate | tectonics | tectonics | surface processes | surface processes | fluvial processes | fluvial processes | hillslope processes | hillslope processes | glacial processes | glacial processes | weathering | weathering | soil formation | soil formation | runoff | runoff | erosion | erosion | slope stability | slope stability | sediment transport | sediment transport | river morphology | river morphology | glacial erosion | glacial erosion | climatic forcings | climatic forcings | tectonic forcings | tectonic forcings | glaciation | glaciation | sea level change | sea level change | uplift | subsidence | uplift | subsidence | post-glacial isostatic rebound | post-glacial isostatic rebound | contracts | contracts | liability | liability | regulation | regulation | business law | business law | employment | employment | corporations | corporations | in-depth treatment of the legal issues relating to breakthrough technologies | in-depth treatment of the legal issues relating to breakthrough technologies | D | D | commercialization of new high-technology products | commercialization of new high-technology products | start-ups | start-ups | liability and regulatory implications of new products and innovative business models | liability and regulatory implications of new products and innovative business models | national and international intellectual property | national and international intellectual property | intellectual property | intellectual property | industries | industries | information technology | information technology | communications | communications | life sciences | life sciencesLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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This course covers organizational, strategic and operational aspects of managing Supply Networks (SNs) from domestic and international perspectives. Topics include alternative SN structures, strategic alliances, design of delivery systems and the role of third party logistics providers. Many of the activities exchanged among enterprises in a SN are of a service nature, and the final output is often a combination of tangible products and services which the end-customer purchases. A series of concepts, frameworks and analytic tools are provided to better understand the management of service operations. Guest speakers share their experiences in managing SNs and services. Restricted to MIT Sloan Fellows in Innovation and Global Leadership. This course covers organizational, strategic and operational aspects of managing Supply Networks (SNs) from domestic and international perspectives. Topics include alternative SN structures, strategic alliances, design of delivery systems and the role of third party logistics providers. Many of the activities exchanged among enterprises in a SN are of a service nature, and the final output is often a combination of tangible products and services which the end-customer purchases. A series of concepts, frameworks and analytic tools are provided to better understand the management of service operations. Guest speakers share their experiences in managing SNs and services. Restricted to MIT Sloan Fellows in Innovation and Global Leadership.Subjects

competitiveness of products and services | competitiveness of products and services | global economy | global economy | product life-cycles | product life-cycles | differentiation | differentiation | diversification | diversification | cost-transparency | cost-transparency | accountability | accountability | supply chain | supply chain | success of supply networks | success of supply networksLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata15.063 Communicating With Data (MIT) 15.063 Communicating With Data (MIT)

Description

Communicating With Data has a distinctive structure and content, combining fundamental quantitative techniques of using data to make informed management decisions with illustrations of how real decision makers, even highly trained professionals, fall prey to errors and biases in their understanding. We present the fundamental concepts underlying the quantitative techniques as a way of thinking, not just a way of calculating, in order to enhance decision-making skills. Rather than survey all of the techniques of management science, we stress those fundamental concepts and tools that we believe are most important for the practical analysis of management decisions, presenting the material as much as possible in the context of realistic business situations from a variety of settings. Exer Communicating With Data has a distinctive structure and content, combining fundamental quantitative techniques of using data to make informed management decisions with illustrations of how real decision makers, even highly trained professionals, fall prey to errors and biases in their understanding. We present the fundamental concepts underlying the quantitative techniques as a way of thinking, not just a way of calculating, in order to enhance decision-making skills. Rather than survey all of the techniques of management science, we stress those fundamental concepts and tools that we believe are most important for the practical analysis of management decisions, presenting the material as much as possible in the context of realistic business situations from a variety of settings. ExerSubjects

quantitative | quantitative | data analysis | data analysis | graphs | graphs | charts | charts | factual decisions | factual decisions | statistics | statistics | communication | communication | fact-based | fact-based | information analysis | information analysis | spreadsheets | spreadsheets | models | models | probability | probability | decision analysis | decision analysis | regression | regression | simulation | simulation | linear | linear | nonlinear | nonlinear | optimization | optimization | data | data | analysis | analysis | marketing | marketing | finance | finance | operations management | operations management | strategy | strategy | operations | operations | management | management | diagrams | diagrams | formula | formula | structure | structure | content | contentLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata15.769 Operations Strategy (MIT) 15.769 Operations Strategy (MIT)

Description

This course will address operations strategy by building on the concepts of: Reengineering and process design developed by Dr. Michael Hammer. Manufacturing strategy as developed in the literature, primarily by people at HBS. Supply chain design and 3-D concurrent engineering literature as developed in Charles Fine’s book, Clockspeed: Winning Industry Control in the Age of Temporary Advantage. Perseus Books, 1999. The concepts there emphasize the necessity of integrating product strategy, manufacturing strategy, and supply chain strategy. As a result, each of these will be touched upon in the course. This course will address operations strategy by building on the concepts of: Reengineering and process design developed by Dr. Michael Hammer. Manufacturing strategy as developed in the literature, primarily by people at HBS. Supply chain design and 3-D concurrent engineering literature as developed in Charles Fine’s book, Clockspeed: Winning Industry Control in the Age of Temporary Advantage. Perseus Books, 1999. The concepts there emphasize the necessity of integrating product strategy, manufacturing strategy, and supply chain strategy. As a result, each of these will be touched upon in the course.Subjects

operations | operations | reengineering | reengineering | process design | process design | manufacturing | manufacturing | stragegy | stragegy | supply chain | supply chain | three dimensional concurrent engineering | three dimensional concurrent engineering | charles fine | charles fine | clockspeed | clockspeed | product development | product developmentLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata15.660 Strategic HR Management (MIT) 15.660 Strategic HR Management (MIT)

Description

This course is about both the design and execution of human resource management strategies. This course has two central themes: (1) How to think systematically and strategically about aspects of managing the organization's human assets, and (2) What really needs to be done to implement these policies and to achieve competitive advantage. It adopts the perspective of a general manager and addresses human resource topics (including reward systems, performance management, high-performance human resource systems, training and development, recruitment, retention, equal employment opportunity laws, work-force diversity, and union-management relationships) from a strategic perspective. This course is about both the design and execution of human resource management strategies. This course has two central themes: (1) How to think systematically and strategically about aspects of managing the organization's human assets, and (2) What really needs to be done to implement these policies and to achieve competitive advantage. It adopts the perspective of a general manager and addresses human resource topics (including reward systems, performance management, high-performance human resource systems, training and development, recruitment, retention, equal employment opportunity laws, work-force diversity, and union-management relationships) from a strategic perspective.Subjects

human resource management | human resource management | human assets | human assets | reward systems | reward systems | performance management | performance management | high-performance human resource systems | high-performance human resource systems | training and development | training and development | recruitment | recruitment | retention | retention | equal employment opportunity laws | equal employment opportunity laws | work-force diversity | work-force diversity | union-management | union-management | human resources | human resourcesLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata15.515 Financial Accounting (MIT) 15.515 Financial Accounting (MIT)

Description

Our goal is to help you develop a framework for understanding financial, managerial, and tax reports. The course goal is divided into five subordinate challenges that can help you organize the way you learn accounting: The record keeping and reporting challenge The computation challenge The judgment challenge The usage challenge The search challenge The course adopts a decision-maker perspective of accounting by emphasizing the relation between accounting data and the underlying economic events generating them. Restricted to first-year Sloan MBA students. Acknowledgements Acknowledgment is hereby given to Professor G. Peter Wilson for his authorship of the following content in this course: The Five Challenges (see Syllabus and Lecture 1) "What Do Intel and Accountants Have in Common? Our goal is to help you develop a framework for understanding financial, managerial, and tax reports. The course goal is divided into five subordinate challenges that can help you organize the way you learn accounting: The record keeping and reporting challenge The computation challenge The judgment challenge The usage challenge The search challenge The course adopts a decision-maker perspective of accounting by emphasizing the relation between accounting data and the underlying economic events generating them. Restricted to first-year Sloan MBA students. Acknowledgements Acknowledgment is hereby given to Professor G. Peter Wilson for his authorship of the following content in this course: The Five Challenges (see Syllabus and Lecture 1) "What Do Intel and Accountants Have in Common?Subjects

acquisitions | acquisitions | finances | finances | financial accounting | financial accounting | balancing the books | balancing the books | accountants | accountants | accrual accounting | accrual accounting | cash basis | cash basis | financial statements | financial statements | bookkeeping | bookkeeping | income statement | income statement | balance sheet | balance sheet | retained earnings | retained earnings | fiscal period | fiscal period | statement of cash flows | statement of cash flows | statement of owners' equity | statement of owners' equity | financial ratios | financial ratios | profits and losses | profits and losses | recognizing revenue | recognizing revenue | doubtful accounts | doubtful accounts | income | income | expenses | expenses | analyzing financial records | analyzing financial records | LIFO | LIFO | FIFO | FIFO | cost of goods sold | cost of goods sold | depreciation | depreciation | taxes | taxes | securities | securities | debt | debt | valuation | valuation | valuing a company | valuing a companyLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata15.269B Literature, Ethics and Authority (MIT) 15.269B Literature, Ethics and Authority (MIT)

Description

Our subject is the ethics of leadership, an examination of the principles appealed to by executive authority when questions arise about its sources and its legitimacy. Most treatments of this subject resort to case-studies in order to illustrate the application of ethical principles to business situations, but our primary emphasis will be upon classic works of imaginative literature, which convey more directly than case-studies the ethical pressures of decision-making. Readings will include works by Shakespeare, Sophocles, Shaw, E.M. Forster, Joseph Conrad, George Orwell, Fyodor Dostoyevsky, and Henrik Ibsen, among others. Topics to be discussed include the sources of authority, the management of consensus, the ideal of vocation, the ethics of deception, the morality of expediency, the req Our subject is the ethics of leadership, an examination of the principles appealed to by executive authority when questions arise about its sources and its legitimacy. Most treatments of this subject resort to case-studies in order to illustrate the application of ethical principles to business situations, but our primary emphasis will be upon classic works of imaginative literature, which convey more directly than case-studies the ethical pressures of decision-making. Readings will include works by Shakespeare, Sophocles, Shaw, E.M. Forster, Joseph Conrad, George Orwell, Fyodor Dostoyevsky, and Henrik Ibsen, among others. Topics to be discussed include the sources of authority, the management of consensus, the ideal of vocation, the ethics of deception, the morality of expediency, the reqSubjects

authority | authority | decision making | decision making | management | management | leadership | leadership | literature | literature | business | business | ethics | ethicsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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This course surveys a variety of reasoning, optimization and decision making methodologies for creating highly autonomous systems and decision support aids. The focus is on principles, algorithms, and their application, taken from the disciplines of artificial intelligence and operations research. Reasoning paradigms include logic and deduction, heuristic and constraint-based search, model-based reasoning, planning and execution, and machine learning. Optimization paradigms include linear programming, integer programming, and dynamic programming. Decision-making paradigms include decision theoretic planning, and Markov decision processes. This course surveys a variety of reasoning, optimization and decision making methodologies for creating highly autonomous systems and decision support aids. The focus is on principles, algorithms, and their application, taken from the disciplines of artificial intelligence and operations research. Reasoning paradigms include logic and deduction, heuristic and constraint-based search, model-based reasoning, planning and execution, and machine learning. Optimization paradigms include linear programming, integer programming, and dynamic programming. Decision-making paradigms include decision theoretic planning, and Markov decision processes.Subjects

state space search | state space search | constraints | constraints | planning | planning | model based reasoning | model based reasoning | global path planning | global path planning | mathematical programming | mathematical programming | hidden markov models | hidden markov models | dynamic programming | dynamic programming | machine learning | machine learning | game theory | game theoryLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata16.323 Principles of Optimal Control (MIT) 16.323 Principles of Optimal Control (MIT)

Description

This course studies basic optimization and the principles of optimal control. It considers deterministic and stochastic problems for both discrete and continuous systems. The course covers solution methods including numerical search algorithms, model predictive control, dynamic programming, variational calculus, and approaches based on Pontryagin's maximum principle, and it includes many examples and applications of the theory. This course studies basic optimization and the principles of optimal control. It considers deterministic and stochastic problems for both discrete and continuous systems. The course covers solution methods including numerical search algorithms, model predictive control, dynamic programming, variational calculus, and approaches based on Pontryagin's maximum principle, and it includes many examples and applications of the theory.Subjects

nonlinear optimization | nonlinear optimization | dynamic programming | dynamic programming | HJB Equation | HJB Equation | calculus of variations | calculus of variations | constrained optimal control | constrained optimal control | singular arcs | singular arcs | stochastic optimal control | stochastic optimal control | LQG robustness | LQG robustness | feedback control systems | feedback control systems | model predictive control | model predictive control | line search methods | line search methods | Lagrange multipliers | Lagrange multipliers | discrete LQR | discrete LQRLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata16.512 Rocket Propulsion (MIT) 16.512 Rocket Propulsion (MIT)

Description

This class focuses on chemical rocket propulsion systems for launch, orbital, and interplanetary flight. It studies the modeling of solid, liquid-bipropellant, and hybrid rocket engines. Thermochemistry, prediction of specific impulse, and nozzle flows including real gas and kinetic effects will also be covered. Other topics to be covered include structural constraints, propellant feed systems, turbopumps, and combustion processes in solid, liquid, and hybrid rockets. This class focuses on chemical rocket propulsion systems for launch, orbital, and interplanetary flight. It studies the modeling of solid, liquid-bipropellant, and hybrid rocket engines. Thermochemistry, prediction of specific impulse, and nozzle flows including real gas and kinetic effects will also be covered. Other topics to be covered include structural constraints, propellant feed systems, turbopumps, and combustion processes in solid, liquid, and hybrid rockets.Subjects

chemical rocket propulsion systems for launch | chemical rocket propulsion systems for launch | orbital | orbital | and interplanetary flight | and interplanetary flight | Modeling of solid propellant | Modeling of solid propellant | liquid-bipropellant | liquid-bipropellant | hybrid rocket engines | hybrid rocket engines | thermochemistry | thermochemistry | prediction of specific impulse | prediction of specific impulse | nozzle flows including real gas and kinetic effects | nozzle flows including real gas and kinetic effects | structural constraints | structural constraints | propellant feed systems | propellant feed systems | turbopumps | turbopumps | combustion processes in solid | combustion processes in solid | liquid | liquid | and hybrid rockets | and hybrid rockets | cooling | cooling | heat sink | heat sink | ablative | ablativeLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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Human Supervisory Control of Automated Systems discusses elements of the interactions between humans and machines. These elements include: assignment of roles and authority; tradeoffs between human control and human monitoring; and human intervention in automatic processes. Further topics comprise: performance, optimization and social implications of the system; enhanced human interfaces; decision aiding; and automated alterting systems. Topics refer to applications in aerospace, industrial and transportation systems. Human Supervisory Control of Automated Systems discusses elements of the interactions between humans and machines. These elements include: assignment of roles and authority; tradeoffs between human control and human monitoring; and human intervention in automatic processes. Further topics comprise: performance, optimization and social implications of the system; enhanced human interfaces; decision aiding; and automated alterting systems. Topics refer to applications in aerospace, industrial and transportation systems.Subjects

Human supervisory control | Human supervisory control | Dynamic systems | Dynamic systems | Complex dynamic systems | Complex dynamic systems | Automation | Automation | Automated systems | Automated systems | Decision processes | Decision processes | Man-machine | Man-machine | Supervisory functions | Supervisory functions | Human-centered | Human-centered | Systems engineering design | Systems engineering design | Semi-structured models | Semi-structured models | Tast analysis | Tast analysis | Function allocation | Function allocation | Memory | Memory | Attention | Attention | Classical decision theory | Classical decision theory | Signal detection | Signal detection | Uncertainty | Uncertainty | Naturalistic decision making | Naturalistic decision making | Workload | Workload | Situation awareness | Situation awareness | Aircraft displays | Aircraft displays | Flight management systems | Flight management systems | Human error | Human error | Reliability | Reliability | Cooperative decision support | Cooperative decision support | Adaptive automation | Adaptive automation | Alerting systems | Alerting systems | Command and control | Command and control | Air traffic control | Air traffic control | Unmanned space vehicles | Unmanned space vehicles | Automobile systems | Automobile systems | Telemedicine | Telemedicine | Telerobotics | Telerobotics | Medical interface design | Medical interface design | Nuclear control plants | Nuclear control plants | Process control plants | Process control plantsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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The fundamental concepts, and approaches of aerospace engineering, are highlighted through lectures on aeronautics, astronautics, and design. Active learning aerospace modules make use of information technology. Student teams are immersed in a hands-on, lighter-than-air (LTA) vehicle design project, where they design, build, and fly radio-controlled LTA vehicles. The connections between theory and practice are realized in the design exercises. Required design reviews precede the LTA race competition. The performance, weight, and principal characteristics of the LTA vehicles are estimated and illustrated using physics, mathematics, and chemistry known to freshmen, the emphasis being on the application of this knowledge to aerospace engineering and design rather than on exposure to new scien The fundamental concepts, and approaches of aerospace engineering, are highlighted through lectures on aeronautics, astronautics, and design. Active learning aerospace modules make use of information technology. Student teams are immersed in a hands-on, lighter-than-air (LTA) vehicle design project, where they design, build, and fly radio-controlled LTA vehicles. The connections between theory and practice are realized in the design exercises. Required design reviews precede the LTA race competition. The performance, weight, and principal characteristics of the LTA vehicles are estimated and illustrated using physics, mathematics, and chemistry known to freshmen, the emphasis being on the application of this knowledge to aerospace engineering and design rather than on exposure to new scienSubjects

aerospace engineering | | aerospace engineering | | aerospace design | | aerospace design | | aeronautics | | aeronautics | | astronautics | | astronautics | | lighter-than-air (LTA) vehicle design | | lighter-than-air (LTA) vehicle design | | physics | | physics | | mathematics | | mathematics | | chemistry | chemistry | journey to mars | journey to mars | challenger | challengerLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata16.20 Structural Mechanics (MIT) 16.20 Structural Mechanics (MIT)

Description

Applies solid mechanics to analysis of high-technology structures. Structural design considerations. Review of three-dimensional elasticity theory; stress, strain, anisotropic materials, and heating effects. Two-dimensional plane stress and plane strain problems. Torsion theory for arbitrary sections. Bending of unsymmetrical section and mixed material beams. Bending, shear, and torsion of thin-wall shell beams. Buckling of columns and stability phenomena. Introduction to structural dynamics. Exercises in the design of general and aerospace structures. Applies solid mechanics to analysis of high-technology structures. Structural design considerations. Review of three-dimensional elasticity theory; stress, strain, anisotropic materials, and heating effects. Two-dimensional plane stress and plane strain problems. Torsion theory for arbitrary sections. Bending of unsymmetrical section and mixed material beams. Bending, shear, and torsion of thin-wall shell beams. Buckling of columns and stability phenomena. Introduction to structural dynamics. Exercises in the design of general and aerospace structures.Subjects

solid mechanics | solid mechanics | high-technology structures | high-technology structures | Structural design considerations | Structural design considerations | three-dimensional elasticity theory | three-dimensional elasticity theory | stress | stress | strain | strain | anisotropic materials | anisotropic materials | heating effects | heating effects | torsion theory | torsion theory | Bending | Bending | shear | shear | Buckling | Buckling | stability phenomena | stability phenomena | structural dynamics | structural dynamicsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata16.881 Robust System Design (MIT) 16.881 Robust System Design (MIT)

Description

This course was created for the "product development" track of MIT's System Design and Management Program (SDM) in conjunction with the Center for Innovation in Product Development. After taking this course, a student should be able to: Formulate measures of performance of a system or quality characteristics. These quality characteristics are to be made robust to noise affecting the system. Sythesize and select design concepts for robustness. Identify noise factors whose variation may affect the quality characteristics. Estimate the robustness of any given design (experimentally and analytically). Formulate and implement methods to reduce the effects of noise (parameter design, active control, adjustment). Select rational tolerances for a design. Explain the role of robust design This course was created for the "product development" track of MIT's System Design and Management Program (SDM) in conjunction with the Center for Innovation in Product Development. After taking this course, a student should be able to: Formulate measures of performance of a system or quality characteristics. These quality characteristics are to be made robust to noise affecting the system. Sythesize and select design concepts for robustness. Identify noise factors whose variation may affect the quality characteristics. Estimate the robustness of any given design (experimentally and analytically). Formulate and implement methods to reduce the effects of noise (parameter design, active control, adjustment). Select rational tolerances for a design. Explain the role of robust designSubjects

robust system design | robust system design | quality characteristics | quality characteristics | product development | product development | noise factors | noise factors | parameter design | parameter design | active control | active control | rational tolerances | rational tolerancesLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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This course provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science engineering, including heat/diffusion, wave, and Poisson equations. Analytics emphasize the viewpoint of linear algebra and the analogy with finite matrix problems. Numerics focus on finite-difference and finite-element techniques to reduce PDEs to matrix problems. This course provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science engineering, including heat/diffusion, wave, and Poisson equations. Analytics emphasize the viewpoint of linear algebra and the analogy with finite matrix problems. Numerics focus on finite-difference and finite-element techniques to reduce PDEs to matrix problems.Subjects

diffusion | diffusion | Laplace equations | Laplace equations | Poisson | Poisson | wave equations | wave equations | separation of variables | separation of variables | Fourier series | Fourier series | Fourier transforms | Fourier transforms | eigenvalue problems | eigenvalue problems | Green's function | Green's function | Heat Equation | Heat Equation | Sturm-Liouville Eigenvalue problems | Sturm-Liouville Eigenvalue problems | quasilinear PDEs | quasilinear PDEs | Bessel functionsORDS | Bessel functionsORDSLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata18.014 Calculus with Theory (MIT) 18.014 Calculus with Theory (MIT)

Description

18.014, Calculus with Theory, covers the same material as 18.01 (Single Variable Calculus), but at a deeper and more rigorous level. It emphasizes careful reasoning and understanding of proofs. The course assumes knowledge of elementary calculus. 18.014, Calculus with Theory, covers the same material as 18.01 (Single Variable Calculus), but at a deeper and more rigorous level. It emphasizes careful reasoning and understanding of proofs. The course assumes knowledge of elementary calculus.Subjects

axioms for the real numbers | axioms for the real numbers | the Riemann integral | the Riemann integral | limits | limits | theorems on continuous functions | theorems on continuous functions | derivatives of functions of one variable | derivatives of functions of one variable | the fundamental theorems of calculus | the fundamental theorems of calculus | Taylor's theorem | Taylor's theorem | infinite series | infinite series | power series | power series | rigorous treatment of the elementary functions | rigorous treatment of the elementary functionsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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In this undergraduate level seminar series, topics vary from year to year. Students present and discuss the subject matter, and are provided with instruction and practice in written and oral communication. Some experience with proofs required. The topic for fall 2008: Computational algebra and algebraic geometry. In this undergraduate level seminar series, topics vary from year to year. Students present and discuss the subject matter, and are provided with instruction and practice in written and oral communication. Some experience with proofs required. The topic for fall 2008: Computational algebra and algebraic geometry.Subjects

Computational algebra | Computational algebra | algebraic geometry | algebraic geometry | Geometry | Geometry | Algebra | Algebra | Algorithms | Algorithms | Groebner Bases | Groebner Bases | Elimination Theory | Elimination Theory | Algebra-Geometry Dictionary | Algebra-Geometry Dictionary | Polynomial Functions | Polynomial Functions | Rational Functions | Rational Functions | Geometric Theorem Proving | Geometric Theorem Proving | Invariant Theory of Finite Groups | Invariant Theory of Finite Groups | Projective Algebraic Geometry | Projective Algebraic GeometryLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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The goal of this course is to describe some of the tools which enter into the proof of Sullivan's conjecture. The goal of this course is to describe some of the tools which enter into the proof of Sullivan's conjecture.Subjects

The Sullivan Conjecture | The Sullivan Conjecture | Steenrod Operations | Steenrod Operations | Adem Relations | Adem Relations | Admissible Monomials | Admissible Monomials | Free Unstable Modules | Free Unstable Modules | Gabriel-Kuhn-Popesco | Gabriel-Kuhn-Popesco | Injectivity of the cohomology of BV | Injectivity of the cohomology of BV | Generating Analytic Functors | Generating Analytic Functors | Tensor products and algebras | Tensor products and algebras | The Dual Steenrod Algebra | The Dual Steenrod Algebra | The Frobenius | The Frobenius | Finiteness Conditions | Finiteness Conditions | Lannes' T-functor | Lannes' T-functor | Free E-infinity Algebras | Free E-infinity Algebras | p-adic Homotopy Theory | p-adic Homotopy Theory | Atomicity | Atomicity | The Arithmetic Square | The Arithmetic Square | Quaternionic Projective Space | Quaternionic Projective Space | The Nil-Filtration | The Nil-Filtration | The Krull Filtration | The Krull FiltrationLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata18.404J Theory of Computation (MIT) 18.404J Theory of Computation (MIT)

Description

This graduate level course is more extensive and theoretical treatment of the material in Computability, and Complexity (6.045J / 18.400J). Topics include Automata and Language Theory, Computability Theory, and Complexity Theory. This graduate level course is more extensive and theoretical treatment of the material in Computability, and Complexity (6.045J / 18.400J). Topics include Automata and Language Theory, Computability Theory, and Complexity Theory.Subjects

Computability | computational complexity theory | Computability | computational complexity theory | Regular and context-free languages | Regular and context-free languages | Decidable and undecidable problems | reducibility | recursive function theory | Decidable and undecidable problems | reducibility | recursive function theory | Time and space measures on computation | completeness | hierarchy theorems | inherently complex problems | oracles | probabilistic computation | and interactive proof systems | Time and space measures on computation | completeness | hierarchy theorems | inherently complex problems | oracles | probabilistic computation | and interactive proof systemsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata18.366 Random Walks and Diffusion (MIT) 18.366 Random Walks and Diffusion (MIT)

Description

This graduate-level subject explores various mathematical aspects of (discrete) random walks and (continuum) diffusion. Applications include polymers, disordered media, turbulence, diffusion-limited aggregation, granular flow, and derivative securities. This graduate-level subject explores various mathematical aspects of (discrete) random walks and (continuum) diffusion. Applications include polymers, disordered media, turbulence, diffusion-limited aggregation, granular flow, and derivative securities.Subjects

Discrete and continuum modeling of diffusion processes in physics | chemistry | and economics | Discrete and continuum modeling of diffusion processes in physics | chemistry | and economics | central limit theorems | central limit theorems | continuous-time random walks | continuous-time random walks | Levy flights | Levy flights | correlations | correlations | extreme events | extreme events | mixing | mixing | renormalization | renormalization | and percolation | and percolation | percolation | percolationLicense

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See all metadata18.969 Topics in Geometry: Dirac Geometry (MIT) 18.969 Topics in Geometry: Dirac Geometry (MIT)

Description

This is an introductory (i.e. first year graduate students are welcome and expected) course in generalized geometry, with a special emphasis on Dirac geometry, as developed by Courant, Weinstein, and Severa, as well as generalized complex geometry, as introduced by Hitchin. Dirac geometry is based on the idea of unifying the geometry of a Poisson structure with that of a closed 2-form, whereas generalized complex geometry unifies complex and symplectic geometry. For this reason, the latter is intimately related to the ideas of mirror symmetry. This is an introductory (i.e. first year graduate students are welcome and expected) course in generalized geometry, with a special emphasis on Dirac geometry, as developed by Courant, Weinstein, and Severa, as well as generalized complex geometry, as introduced by Hitchin. Dirac geometry is based on the idea of unifying the geometry of a Poisson structure with that of a closed 2-form, whereas generalized complex geometry unifies complex and symplectic geometry. For this reason, the latter is intimately related to the ideas of mirror symmetry.Subjects

generalized geometry | generalized geometry | Dirac geometry | Dirac geometry | Gerbes | Gerbes | B-fields | B-fields | Courant algebroids | Courant algebroids | sigma models | sigma models | baby String theory | baby String theory | linear algebra | linear algebra | pure spinors | pure spinors | Riemannian structures | Riemannian structures | Hodge star | Hodge star | integrability | integrability | Dirac structures | Dirac structures | Lie algebroids and bialgebroids | Lie algebroids and bialgebroids | holomorphic bundles | holomorphic bundles | Picard group | Picard group | Kodaira-Spencer-Kuranishi deformation theory | Kodaira-Spencer-Kuranishi deformation theory | Kahler geometry | Kahler geometry | Hermitian geometry | Hermitian geometry | Calabi-Yau structures | Calabi-Yau structures | D-branes | D-branesLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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The topics for this course vary each semester. This semester, the course aims to introduce techniques for studying intersection theory on moduli spaces. In particular, it covers the geometry of homogeneous varieties, the Deligne-Mumford moduli spaces of stable curves and the Kontsevich moduli spaces of stable maps using intersection theory. The topics for this course vary each semester. This semester, the course aims to introduce techniques for studying intersection theory on moduli spaces. In particular, it covers the geometry of homogeneous varieties, the Deligne-Mumford moduli spaces of stable curves and the Kontsevich moduli spaces of stable maps using intersection theory.Subjects

intersection theory | intersection theory | moduli spaces | moduli spaces | geometry of homogeneous varieties | geometry of homogeneous varieties | Deligne-Mumford moduli spaces | Deligne-Mumford moduli spaces | stable curves | stable curves | Kontsevich moduli spaces | Kontsevich moduli spaces | stable maps | stable maps | Littlewood-Richardson rules | Littlewood-Richardson rules | Grassmannians | Grassmannians | divisor theory | divisor theory | cohomology | cohomology | Brill-Noether theory | Brill-Noether theory | limit linear series | limit linear series | ample cones | ample cones | effective cones | effective cones | Gromov-Witten invariants | Gromov-Witten invariants | simple homogeneous varieties | simple homogeneous varietiesLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata18.101 Analysis II (MIT) 18.101 Analysis II (MIT)

Description

This course continues from Analysis I (18.100B), in the direction of manifolds and global analysis. The first half of the course covers multivariable calculus. The rest of the course covers the theory of differential forms in n-dimensional vector spaces and manifolds. This course continues from Analysis I (18.100B), in the direction of manifolds and global analysis. The first half of the course covers multivariable calculus. The rest of the course covers the theory of differential forms in n-dimensional vector spaces and manifolds.Subjects

Differentiable maps | Differentiable maps | inverse and implicit function theorems | inverse and implicit function theorems | n-dimensional Riemann integral | n-dimensional Riemann integral | change of variables in multiple integrals | change of variables in multiple integrals | manifolds | manifolds | differential forms | differential forms | and n-dimensional version of Stokes' theorem | and n-dimensional version of Stokes' theoremLicense

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See all metadata18.755 Introduction to Lie Groups (MIT) 18.755 Introduction to Lie Groups (MIT)

Description

This course is devoted to the theory of Lie Groups with emphasis on its connections with Differential Geometry. The text for this class is Differential Geometry, Lie Groups and Symmetric Spaces by Sigurdur Helgason (American Mathematical Society, 2001). Much of the course material is based on Chapter I (first half) and Chapter II of the text. The text however develops basic Riemannian Geometry, Complex Manifolds, as well as a detailed theory of Semisimple Lie Groups and Symmetric Spaces. This course is devoted to the theory of Lie Groups with emphasis on its connections with Differential Geometry. The text for this class is Differential Geometry, Lie Groups and Symmetric Spaces by Sigurdur Helgason (American Mathematical Society, 2001). Much of the course material is based on Chapter I (first half) and Chapter II of the text. The text however develops basic Riemannian Geometry, Complex Manifolds, as well as a detailed theory of Semisimple Lie Groups and Symmetric Spaces.Subjects

Manifolds | Manifolds | Lie groups | Lie groups | exponential mapping | exponential mapping | Lie algebras | Lie algebras | Homogeneous spaces | Homogeneous spaces | transformation groups | transformation groups | Adjoint representation | Adjoint representation | Covering groups | Covering groups | Automorphism groups | Automorphism groups | Invariant differential forms | Invariant differential forms | cohomology of Lie groups | cohomology of Lie groups | homogeneous spaces. | homogeneous spaces. | Lie Groups | Lie Groups | Exponential Mapping | Exponential Mapping | Lie Algebras | Lie Algebras | Homogeneous Spaces | Homogeneous Spaces | Transformation Groups | Transformation Groups | Covering Groups | Covering Groups | Automorphism Groups | Automorphism Groups | Invariant Differential Forms | Invariant Differential Forms | Cohomology of Lie Groups | Cohomology of Lie Groups | Homogeneous Spaces. | Homogeneous Spaces.License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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