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14.01 Principles of Microeconomics (MIT) 14.01 Principles of Microeconomics (MIT)

Description

This introductory course teaches the fundamentals of microeconomics. Topics include consumer theory, producer theory, the behavior of firms, market equilibrium, monopoly, and the role of the government in the economy. 14.01 is a Humanities, Arts, and Social Sciences (HASS) elective and is offered both terms. 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. This introductory course teaches the fundamentals of microeconomics. Topics include consumer theory, producer theory, the behavior of firms, market equilibrium, monopoly, and the role of the government in the economy. 14.01 is a Humanities, Arts, and Social Sciences (HASS) elective and is offered both terms. 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

market | market | optimization | optimization | allocation | allocation | economic measurement | economic measurement | analysis | analysis | microeconomics | microeconomics | demand | demand | supply | supply | equilibrium | equilibrium | general equilibrium | general equilibrium | government interventions | government interventions | price elasticity of demand | price elasticity of demand | income elasticity of demand | income elasticity of demand | cross price elasticity of demand | cross price elasticity of demand | price elasticity of supply | price elasticity of supply | consumer behavior | consumer behavior | consumer preference | consumer preference | utility functions | utility functions | marginal rate of substitution | marginal rate of substitution | budget constraints | budget constraints | interior solutions | interior solutions | corner solutions | corner solutions | Engle curves | Engle curves | individual demand | individual demand | market demand | market demand | revealed preferences | revealed preferences | substitution effect | substitution effect | income effect | income effect | Giffen goods | Giffen goods | consumer surplus | consumer surplus | Irish potato famine | Irish potato famine | network externalities | network externalities | uncertainty | uncertainty | preference toward risk | preference toward risk | risk premium | risk premium | indifference curves | indifference curves | diversification | diversification | insurance | insurance | producer theory | producer theory | production functions | production functions | short run | short run | long run | long run | returns to scale | returns to scale | cost functions | cost functions | economies of scale | economies of scale | economies of scope | economies of scope | learning | learning | profit maximization | profit maximization | producer surplus | producer surplus | agricultural price support | agricultural price support | tax | tax | subsidy | subsidy | exchange economy | exchange economy | contract curves | contract curves | utility possibilities frontier | utility possibilities frontier | Edgeworth Box | Edgeworth Box | production possibilities frontier | production possibilities frontier | efficiency | efficiency | monopoly | monopoly | multiplant firm | multiplant firm | social cost | social cost | price regulation | price regulation | monopsony | monopsony | price discrimination | price discrimination | peak-load pricing | peak-load pricing | two-part tariffs | two-part tariffs | bundling | bundling | monopolistic competition | monopolistic competition | game theory | game theory | oligopoly | oligopoly | Cournot | Cournot | Stackelberg | Stackelberg | Bertrand | Bertrand | Prisoner's Dilemma | Prisoner's Dilemma

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.htm

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18.783 Elliptic Curves (MIT) 18.783 Elliptic Curves (MIT)

Description

This graduate-level course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography. This graduate-level course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography.

Subjects

elliptic curves | elliptic curves | number theory | number theory | cryptography | cryptography | point-counting | point-counting | isogenies | isogenies | pairings | pairings | theory of complex multiplication | theory of complex multiplication | integer factorization | integer factorization | primality proving | primality proving | elliptic curve cryptography | elliptic curve cryptography | modular curves | modular curves | Fermat's Last Theorem | Fermat's Last Theorem

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.htm

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18.783 Elliptic Curves (MIT) 18.783 Elliptic Curves (MIT)

Description

This graduate-level course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography. This graduate-level course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography.

Subjects

elliptic curves | elliptic curves | number theory | number theory | cryptography | cryptography | point-counting | point-counting | isogenies | isogenies | pairings | pairings | theory of complex multiplication | theory of complex multiplication | integer factorization | integer factorization | primality proving | primality proving | elliptic curve cryptography | elliptic curve cryptography | modular curves | modular curves | Fermat's Last Theorem | Fermat's Last Theorem

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.htm

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14.01SC Principles of Microeconomics (MIT) 14.01SC Principles of Microeconomics (MIT)

Description

Includes audio/video content: AV lectures. 14.01 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 environmen Includes audio/video content: AV lectures. 14.01 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 environmen

Subjects

Microeconomics | Microeconomics | prices | prices | normative economics | normative economics | positive economics | positive economics | microeconomic applications | microeconomic applications | supply | supply | demand | demand | equilibrium | equilibrium | demand shift | demand shift | supply shift | supply shift | government interference | government interference | elasticity | elasticity | revenue | revenue | empirical economics | empirical economics | consumer theory | consumer theory | preference assumptions | preference assumptions | indifference curves | indifference curves | utility functions | utility functions | marginal utility | marginal utility | budget constraints | budget constraints | marginal rate of transformation | marginal rate of transformation | opportunity cost | opportunity cost | constrained utility maximization | constrained utility maximization | corner solutions | corner solutions | Engel curves | Engel curves | income effect | income effect | substitution effect | substitution effect | Giffin good | Giffin good | labor economics | labor economics | child labor | child labor | producer theory | producer theory | variable inputs | variable inputs | fixed inputs | fixed inputs | firm production functions | firm production functions | marginal rate of technical substitution | marginal rate of technical substitution | returns to scale | returns to scale | productivity | productivity | perfect competition | perfect competition | search theory | search theory | residual demand | residual demand | shutdown decisions | shutdown decisions | market equilibrium | market equilibrium | agency problem | agency problem | welfare economics | welfare economics | consumer surplus | consumer surplus | producer surplus | producer surplus | dead weight loss | dead weight loss | monopoly | monopoly | oligopoly | oligopoly | market power | market power | price discrimination | price discrimination | price regulation | price regulation | antitrust policy | antitrust policy | mergers | mergers | cartel | cartel | game theory | game theory | Nash equilibrium | Nash equilibrium | Cournot model | Cournot model | duopoly | duopoly | non-cooperative competition | non-cooperative competition | Bertrand competition | Bertrand competition | factor markets | factor markets | international trade | international trade | uncertainty | uncertainty | capital markets | capital markets | intertemporal choice | intertemporal choice | real interest rate | real interest rate | compounding | compounding | inflation | inflation | investment | investment | discount rate | discount rate | net present value | net present value | income distribution | income distribution | social welfare function | social welfare function | Utilitarianism | Utilitarianism | Raulsian criteria | Raulsian criteria | Nozickian | Nozickian | commodity egalitarianism | commodity egalitarianism | isowelfare curves | isowelfare curves | social insurance | social insurance | social security | social security | moral hazard | moral hazard | taxation | taxation | EITC | EITC | healthcare | healthcare | PPACA | PPACA

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.htm

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18.783 Elliptic Curves (MIT) 18.783 Elliptic Curves (MIT)

Description

This graduate-level course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography. This graduate-level course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography.

Subjects

elliptic curves | elliptic curves | number theory | number theory | cryptography | cryptography | point-counting | point-counting | isogenies | isogenies | pairings | pairings | theory of complex multiplication | theory of complex multiplication | integer factorization | integer factorization | primality proving | primality proving | elliptic curve cryptography | elliptic curve cryptography | modular curves | modular curves | Fermat's Last Theorem | Fermat's Last Theorem

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.htm

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18.725 Algebraic Geometry (MIT) 18.725 Algebraic Geometry (MIT)

Description

This course covers the fundamental notions and results about algebraic varieties over an algebraically closed field. It also analyzes the relations between complex algebraic varieties and complex analytic varieties. This course covers the fundamental notions and results about algebraic varieties over an algebraically closed field. It also analyzes the relations between complex algebraic varieties and complex analytic varieties.

Subjects

algebraic varieties over algebraically closed field | algebraic varieties over algebraically closed field | complex algebraic varieties | complex algebraic varieties | complex analytic varieties | complex analytic varieties | curves and surfaces | curves and surfaces | irreducible components | irreducible components | projective space | projective space | topological diversion | topological diversion | sheaves | sheaves | presheaves | presheaves | algebraic geometry | algebraic geometry | fibers | fibers | morphisms | morphisms | varieties | varieties | projective varieties | projective varieties | applications | applications | dimension | dimension | krull dimension | krull dimension | completeness | completeness | complex topology | complex topology | Chow's lemma | Chow's lemma | analytic spaces | analytic spaces | curves | curves

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.htm

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18.782 Introduction to Arithmetic Geometry (MIT) 18.782 Introduction to Arithmetic Geometry (MIT)

Description

This course is an introduction to arithmetic geometry, a subject that lies at the intersection of algebraic geometry and number theory. Its primary motivation is the study of classical Diophantine problems from the modern perspective of algebraic geometry. This course is an introduction to arithmetic geometry, a subject that lies at the intersection of algebraic geometry and number theory. Its primary motivation is the study of classical Diophantine problems from the modern perspective of algebraic geometry.

Subjects

algebra | algebra | number theory | number theory | diophantine equations | diophantine equations | algebraic geometry | algebraic geometry | plane conics | plane conics | elliptic curves | elliptic curves | hyperelliptic curves | hyperelliptic curves | abelian varieties | abelian varieties | Tate-Shafarevich group | Tate-Shafarevich group

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.htm

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14.01 Principles of Microeconomics (MIT)

Description

This introductory course teaches the fundamentals of microeconomics. Topics include consumer theory, producer theory, the behavior of firms, market equilibrium, monopoly, and the role of the government in the economy. 14.01 is a Humanities, Arts, and Social Sciences (HASS) elective and is offered both terms. 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

market | optimization | allocation | economic measurement | analysis | microeconomics | demand | supply | equilibrium | general equilibrium | government interventions | price elasticity of demand | income elasticity of demand | cross price elasticity of demand | price elasticity of supply | consumer behavior | consumer preference | utility functions | marginal rate of substitution | budget constraints | interior solutions | corner solutions | Engle curves | individual demand | market demand | revealed preferences | substitution effect | income effect | Giffen goods | consumer surplus | Irish potato famine | network externalities | uncertainty | preference toward risk | risk premium | indifference curves | diversification | insurance | producer theory | production functions | short run | long run | returns to scale | cost functions | economies of scale | economies of scope | learning | profit maximization | producer surplus | agricultural price support | tax | subsidy | exchange economy | contract curves | utility possibilities frontier | Edgeworth Box | production possibilities frontier | efficiency | monopoly | multiplant firm | social cost | price regulation | monopsony | price discrimination | peak-load pricing | two-part tariffs | bundling | monopolistic competition | game theory | oligopoly | Cournot | Stackelberg | Bertrand | Prisoner's Dilemma

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 https://ocw.mit.edu/terms/index.htm

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18.783 Elliptic Curves (MIT)

Description

This graduate-level course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography.

Subjects

elliptic curves | number theory | cryptography | point-counting | isogenies | pairings | theory of complex multiplication | integer factorization | primality proving | elliptic curve cryptography | modular curves | Fermat's Last Theorem

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 https://ocw.mit.edu/terms/index.htm

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18.783 Elliptic Curves (MIT)

Description

This graduate-level course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography.

Subjects

elliptic curves | number theory | cryptography | point-counting | isogenies | pairings | theory of complex multiplication | integer factorization | primality proving | elliptic curve cryptography | modular curves | Fermat's Last Theorem

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 https://ocw.mit.edu/terms/index.htm

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18.783 Elliptic Curves (MIT)

Description

This graduate-level course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography.

Subjects

elliptic curves | number theory | cryptography | point-counting | isogenies | pairings | theory of complex multiplication | integer factorization | primality proving | elliptic curve cryptography | modular curves | Fermat's Last Theorem

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 https://ocw.mit.edu/terms/index.htm

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14.01SC Principles of Microeconomics (MIT)

Description

14.01 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

Microeconomics | prices | normative economics | positive economics | microeconomic applications | supply | demand | equilibrium | demand shift | supply shift | government interference | elasticity | revenue | empirical economics | consumer theory | preference assumptions | indifference curves | utility functions | marginal utility | budget constraints | marginal rate of transformation | opportunity cost | constrained utility maximization | corner solutions | Engel curves | income effect | substitution effect | Giffin good | labor economics | child labor | producer theory | variable inputs | fixed inputs | firm production functions | marginal rate of technical substitution | returns to scale | productivity | perfect competition | search theory | residual demand | shutdown decisions | market equilibrium | agency problem | welfare economics | consumer surplus | producer surplus | dead weight loss | monopoly | oligopoly | market power | price discrimination | price regulation | antitrust policy | mergers | cartel | game theory | Nash equilibrium | Cournot model | duopoly | non-cooperative competition | Bertrand competition | factor markets | international trade | uncertainty | capital markets | intertemporal choice | real interest rate | compounding | inflation | investment | discount rate | net present value | income distribution | social welfare function | Utilitarianism | Raulsian criteria | Nozickian | commodity egalitarianism | isowelfare curves | social insurance | social security | moral hazard | taxation | EITC | healthcare | PPACA

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 https://ocw.mit.edu/terms/index.htm

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4.105 Geometric Disciplines and Architecture Skills: Reciprocal Methodologies (MIT) 4.105 Geometric Disciplines and Architecture Skills: Reciprocal Methodologies (MIT)

Description

This course is an intensive introduction to architectural design tools and process, and is taught through a series of short exercises. The conceptual basis of each exercise is in the interrogation of the geometric principles that lie at the core of each skill. Skills covered in this course range from techniques of hand drafting, to generation of 3D computer models, physical model-building, sketching, and diagramming. Weekly lectures and pin-ups address the conventions associated with modes of architectural representation and their capacity to convey ideas. This course is tailored and offered only to first-year M.Arch students. This course is an intensive introduction to architectural design tools and process, and is taught through a series of short exercises. The conceptual basis of each exercise is in the interrogation of the geometric principles that lie at the core of each skill. Skills covered in this course range from techniques of hand drafting, to generation of 3D computer models, physical model-building, sketching, and diagramming. Weekly lectures and pin-ups address the conventions associated with modes of architectural representation and their capacity to convey ideas. This course is tailored and offered only to first-year M.Arch students.

Subjects

geometry | geometry | representation | representation | architecture | architecture | drawing | drawing | projection | projection | perspective | perspective | planes | planes | axonometric | axonometric | stereotomy | stereotomy | volume | volume | surface | surface | curvature | curvature | curves | curves | discretization | discretization | generation | generation | construction | construction | publication | publication | presentation | presentation

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.htm

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14.42 Environmental Policy and Economics (MIT) 14.42 Environmental Policy and Economics (MIT)

Description

This course explores the proper role of government in the regulation of the environment. It will help students develop the tools to estimate the costs and benefits of environmental regulations. These tools will be used to evaluate a series of current policy questions, including: Should air and water pollution regulations be tightened or loosened? What are the costs of climate change in the U.S. and abroad? Is there a "Race to the Bottom" in environmental regulation? What is "sustainable development"? How do environmental problems differ in developing countries? Are we running out of oil and other natural resources? Should we be more energy efficient? To gain real world experience, the course is scheduled to include a visit to the MIT cogeneration plant. We will also do This course explores the proper role of government in the regulation of the environment. It will help students develop the tools to estimate the costs and benefits of environmental regulations. These tools will be used to evaluate a series of current policy questions, including: Should air and water pollution regulations be tightened or loosened? What are the costs of climate change in the U.S. and abroad? Is there a "Race to the Bottom" in environmental regulation? What is "sustainable development"? How do environmental problems differ in developing countries? Are we running out of oil and other natural resources? Should we be more energy efficient? To gain real world experience, the course is scheduled to include a visit to the MIT cogeneration plant. We will also do

Subjects

economics | economics | policy | policy | environment | environment | environmental economics | environmental economics | public policy | public policy | cost-benefit analysis | cost-benefit analysis | resource management | resource management | environmental regulation | environmental regulation | health | health | sustainability | sustainability | public goods | public goods | pollution | pollution | Pigouvian taxes | Pigouvian taxes | liability | liability | kuznets curves | kuznets curves | competition | competition | growth | growth | double dividend | double dividend | hedonic | hedonic | valuation | valuation | global warming | global warming | Porter hypothesis | Porter hypothesis | social choice | social choice | carbon offsets | carbon offsets | clean development | clean development | renewables | renewables

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.htm

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Looking up Dean Street, Newcastle upon Tyne Looking up Dean Street, Newcastle upon Tyne

Description

Subjects

road | road | street | street | door | door | city | city | bridge | bridge | roof | roof | shadow | shadow | sky | sky | people | people | abstract | abstract | reflection | reflection | cars | cars | industry | industry | window | window | glass | glass | hat | hat | wheel | wheel | stone | stone | wall | wall | buildings | buildings | paper | paper | walking | walking | advertising | advertising | handle | handle | daylight | daylight | clothing | clothing | interesting | interesting | construction | construction | arch | arch | unitedkingdom | unitedkingdom | seat | seat | curtain | curtain | tie | tie | pedestrian | pedestrian | billboard | billboard | suit | suit | shade | shade | transportation | transportation | frame | frame | signage | signage | archives | archives | land | land | vehicle | vehicle | products | products | gutter | gutter | 1960s | 1960s | unusual | unusual | cigarettes | cigarettes | striking | striking | tyneside | tyneside | development | development | consumerism | consumerism | impressive | impressive | streetview | streetview | businesses | businesses | newcastleupontyne | newcastleupontyne | fascinating | fascinating | digitalimage | digitalimage | deanstreet | deanstreet | heritagebuildings | heritagebuildings | sidestreet | sidestreet | premises | premises | industrialheritage | industrialheritage | motorist | motorist | theside | theside | northeastengland | northeastengland | blackandwhitephotograph | blackandwhitephotograph | northeastofengland | northeastofengland | artanddesign | artanddesign | dailylives | dailylives | northbritish | northbritish | november1963 | november1963 | curvedstructure | curvedstructure | turnersltd | turnersltd | scenicviewsofnewcastle | scenicviewsofnewcastle

License

No known copyright restrictions

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6.002 Circuits and Electronics (MIT) 6.002 Circuits and Electronics (MIT)

Description

6.002 introduces the fundamentals of the lumped circuit abstraction. Topics covered include: resistive elements and networks; independent and dependent sources; switches and MOS transistors; digital abstraction; amplifiers; energy storage elements; dynamics of first- and second-order networks; design in the time and frequency domains; and analog and digital circuits and applications. Design and lab exercises are also significant components of the course. 6.002 is worth 4 Engineering Design Points. 6.002 introduces the fundamentals of the lumped circuit abstraction. Topics covered include: resistive elements and networks; independent and dependent sources; switches and MOS transistors; digital abstraction; amplifiers; energy storage elements; dynamics of first- and second-order networks; design in the time and frequency domains; and analog and digital circuits and applications. Design and lab exercises are also significant components of the course. 6.002 is worth 4 Engineering Design Points.

Subjects

circuit | circuit | electronic | electronic | abstraction | abstraction | lumped circuit | lumped circuit | digital | digital | amplifier | amplifier | differential equations | differential equations | time behavior | time behavior | energy storage | energy storage | semiconductor diode | semiconductor diode | field-effect | field-effect | field-effect transistor | field-effect transistor | resistor | resistor | source | source | inductor | inductor | capacitor | capacitor | diode | diode | series-parallel reduction | series-parallel reduction | voltage | voltage | current divider | current divider | node method | node method | linearity | linearity | superposition | superposition | Thevenin-Norton equivalent | Thevenin-Norton equivalent | power flow | power flow | Boolean algebra | Boolean algebra | binary signal | binary signal | MOSFET | MOSFET | noise margin | noise margin | singularity functions | singularity functions | sinusoidal-steady-state | sinusoidal-steady-state | impedance | impedance | frequency response curves | frequency response curves | operational amplifier | operational amplifier | Op-Amp | Op-Amp | negative feedback | negative feedback | positive feedback | positive feedback

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.htm

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TALAT Lecture 2401: Fatigue Behaviour and Analysis

Description

This lecture explains why, when and where fatigue problems may arise and the special significance to aluminium as structural material; it helps to understand the effects of material and loading parameters on fatigue; to appreciate the statistical nature of fatigue and its importance in data analysis, evaluation and use; it shows how to estimate fatigue life under service conditions of time-dependent, variable amplitude loading; how to estimate stresses acting in notches and welds with conceptual approaches other than nominal stress; it provides qualitative and quantitative information on the classification of welded details and allow for more sophisticated design procedures. Background in materials engineering, design and fatigue is required.

Subjects

aluminium | aluminum | european aluminium association | eaa | talat | training in aluminium application technologies | training | metallurgy | technology | lecture | design | fatigue | fatigue cracks | susceptibility | cyclic loading | crack growth | crack propagation rate | endurance limit | predictive theories | damage accumulation theories | manson-coffin law | crack growth laws | ideal cumulative damage theory | fatigue data analysis | middle-cycle fatigue range | high-cycle fatigue range | fatigue diagrams | linear p-s-n curves | non-linear p-s-n curves | service behaviour | time dependent loads | load spectrum | cycle counting | rain-flow cycle counting method | service behaviour fatigue test | analytical life estimation | damage accumulation | palmgren-miner linear damage accumulation hypothesis | strain | fatigue life | notch theory | strain-life diagram | weld imperfections | static strength | fatigue strength | cracks | porosity | inclusions | oxides | lack of penetration | weld shape | lack of fusion | geometric misalignment | arc strike | spatter | post-weld mechanical imperfections | corematerials | ukoer | Engineering | H000

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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TALAT Lecture 2402: Design Recommendations for fatigue loaded structures

Description

This lecture presents calculation of design stresses for variable stress ratios in practice, explanation on the background of design recommendations; it demonstrates the concept of partial safety factors and supply appropriate background information for aluminium; it enables the designer to evaluate service behavior of structural details on a more sophisticated level applying the same principles as in current design recommendations; it provides understanding of the fatigue design procedure according to current recommendations. Background knowledge in engineering, materials and fatigue as well as some knowledge in statistics is required.

Subjects

aluminium | aluminum | european aluminium association | eaa | talat | training in aluminium application technologies | training | metallurgy | technology | lecture | design | fatigue | r-ratio effect | factor f (r) | eraas | residual stress effects | safety | reliability | partial safety factor | fatigue design curves | component testing | classification | design curves | s-n slope | steel codes | british standard 8118: 1991 | data analysis | gusset plate | tubular element | welded on edge | loading | fatigue assessment | tum-alfabet software | corematerials | ukoer | Engineering | H000

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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22.01 Introduction to Ionizing Radiation (MIT) 22.01 Introduction to Ionizing Radiation (MIT)

Description

This course provides an introduction to the basic properties of ionizing radiations and their uses in medicine, industry, science, and environmental studies. We will discuss natural and man-made radiation sources, energy deposition and dose calculations, and various physical, chemical, and biological processes and effects of radiation, with examples of their uses, and principles of radiation protection. This course provides an introduction to the basic properties of ionizing radiations and their uses in medicine, industry, science, and environmental studies. We will discuss natural and man-made radiation sources, energy deposition and dose calculations, and various physical, chemical, and biological processes and effects of radiation, with examples of their uses, and principles of radiation protection.

Subjects

ionizing radiation | ionizing radiation | natural radiation | natural radiation | man-made radiation | man-made radiation | energy deposition | energy deposition | dose calculations | dose calculations | radiation protection | radiation protection | radiation damage | radiation damage | DNA | DNA | cell survival curves | cell survival curves | radioactive decay | radioactive decay | beta decay | beta decay | gamma decay | gamma decay | radiological dating | radiological dating | radiation interactions | radiation interactions | radon | radon | medical imaging | medical imaging

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.htm

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TALAT Lecture 2403: Applied Fracture Mechanics

Description

This lecture demonstrates how to teach the principles and concepts of fracture mechanics as well as provide recommendations for practical applications; it provides necessary information for fatigue life estimations on the basis of fracture mechanics as a complementary method to the S-N concept. Background in engineering, materials and fatigue is required.

Subjects

aluminium | aluminum | european aluminium association | eaa | talat | training in aluminium application technologies | training | metallurgy | technology | lecture | design | fatigue | fracture | notch toughness | brittle fracture | performance level | toughness | crack size | stress level | stress intensity factors | deformation | crack tip | superposition | linear-elastic fracture mechanics | kic | astm-e399 test method | elastic-plastic fracture mechanics | crack opening displacement | test method bs 5762 | r-curves | astm-e561 | astm-e813 | astm-e1152 | j-r curves | jic | free surface correction fs | crack shape correction fe | finite plate dimension correction fw | correction factors for stress gradient fg | crack geometry | evaluation | welded coverplate | web stiffener | corematerials | ukoer | Engineering | H000

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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6.101 Introductory Analog Electronics Laboratory (MIT) 6.101 Introductory Analog Electronics Laboratory (MIT)

Description

6.101 is an introductory experimental laboratory that explores the design, construction, and debugging of analog electronic circuits. Lectures and six laboratory projects investigate the performance characteristics of diodes, transistors, JFETs, and op-amps, including the construction of a small audio amplifier and preamplifier. Seven weeks are devoted to the design and implementation, and written and oral presentation of a project in an environment similar to that of engineering design teams in industry. The course provides opportunity to simulate real-world problems and solutions that involve trade offs and the use of engineering judgment. Engineers from local analog engineering companies come to campus to help students with their design projects. 6.101 is an introductory experimental laboratory that explores the design, construction, and debugging of analog electronic circuits. Lectures and six laboratory projects investigate the performance characteristics of diodes, transistors, JFETs, and op-amps, including the construction of a small audio amplifier and preamplifier. Seven weeks are devoted to the design and implementation, and written and oral presentation of a project in an environment similar to that of engineering design teams in industry. The course provides opportunity to simulate real-world problems and solutions that involve trade offs and the use of engineering judgment. Engineers from local analog engineering companies come to campus to help students with their design projects.

Subjects

analog electronic circuits | analog electronic circuits | diode characteristics | diode characteristics | transistors | transistors | JFETs | JFETs | op-amps | op-amps | audio amplifier | audio amplifier | preamplifier | preamplifier | audio and radio frequency circuits | audio and radio frequency circuits | electronic test equipment | electronic test equipment | digital multimeter | digital multimeter | oscilloscope | oscilloscope | function generator | function generator | curve tracer | curve tracer

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.htm

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18.782 Introduction to Arithmetic Geometry (MIT)

Description

This course is an introduction to arithmetic geometry, a subject that lies at the intersection of algebraic geometry and number theory. Its primary motivation is the study of classical Diophantine problems from the modern perspective of algebraic geometry.

Subjects

algebra | number theory | diophantine equations | algebraic geometry | plane conics | elliptic curves | hyperelliptic curves | abelian varieties | Tate-Shafarevich group

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 https://ocw.mit.edu/terms/index.htm

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22.55J Principles of Radiation Interactions (MIT) 22.55J Principles of Radiation Interactions (MIT)

Description

The central theme of this course is the interaction of radiation with biological material. The course is intended to provide a broad understanding of how different types of radiation deposit energy, including the creation and behavior of secondary radiations; of how radiation affects cells and why the different types of radiation have very different biological effects. Topics will include: the effects of radiation on biological systems including DNA damage; in vitro cell survival models; and in vivo mammalian systems. The course covers radiation therapy, radiation syndromes in humans and carcinogenesis. Environmental radiation sources on earth and in space, and aspects of radiation protection are also discussed. Examples from the current literature will be used to supplement lecture materi The central theme of this course is the interaction of radiation with biological material. The course is intended to provide a broad understanding of how different types of radiation deposit energy, including the creation and behavior of secondary radiations; of how radiation affects cells and why the different types of radiation have very different biological effects. Topics will include: the effects of radiation on biological systems including DNA damage; in vitro cell survival models; and in vivo mammalian systems. The course covers radiation therapy, radiation syndromes in humans and carcinogenesis. Environmental radiation sources on earth and in space, and aspects of radiation protection are also discussed. Examples from the current literature will be used to supplement lecture materi

Subjects

Interaction of radiation with biological material | Interaction of radiation with biological material | how different types of radiation deposit energy | how different types of radiation deposit energy | secondary radiations | secondary radiations | how radiation affects cells | how radiation affects cells | biological effects | biological effects | effects of radiation on biological systems | effects of radiation on biological systems | DNA damage | DNA damage | in vitro cell survival models | in vitro cell survival models | in vivo mammalian systems | in vivo mammalian systems | radiation therapy | radiation therapy | radiation syndromes in humans | radiation syndromes in humans | carcinogenesis | carcinogenesis | Environmental radiation sources | Environmental radiation sources | radiation protection | radiation protection | cells | cells | tissues | tissues | radiation interactions | radiation interactions | radiation chemistry | radiation chemistry | LET | LET | tracks | tracks | chromosome damags | chromosome damags | in vivo | in vivo | in vitro | in vitro | cell survival curves | cell survival curves | dose response | dose response | RBE | RBE | clustered damage | clustered damage | radiation response | radiation response | tumor kinetics | tumor kinetics | tumor radiobiology | tumor radiobiology | fractionation | fractionation | protons | protons | alpha particles | alpha particles | whole body exposure | whole body exposure | chronic exposure | chronic exposure | space | space | microbeams | microbeams | radon | radon | background radiation | background radiation | 22.55 | 22.55 | HST.560 | HST.560

License

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22.01 Introduction to Ionizing Radiation (MIT) 22.01 Introduction to Ionizing Radiation (MIT)

Description

This course provides an introduction to the basic properties of ionizing radiations and their uses in medicine, industry, science, and environmental studies. We will discuss natural and man-made radiation sources, energy deposition and dose calculations, and various physical, chemical, and biological processes and effects of radiation, with examples of their uses, and principles of radiation protection. This course provides an introduction to the basic properties of ionizing radiations and their uses in medicine, industry, science, and environmental studies. We will discuss natural and man-made radiation sources, energy deposition and dose calculations, and various physical, chemical, and biological processes and effects of radiation, with examples of their uses, and principles of radiation protection.

Subjects

ionizing radiation | ionizing radiation | natural radiation | natural radiation | man-made radiation | man-made radiation | energy deposition | energy deposition | dose calculations | dose calculations | radiation protection | radiation protection | radiation damage | radiation damage | DNA | DNA | cell survival curves | cell survival curves | radioactive decay | radioactive decay | beta decay | beta decay | gamma decay | gamma decay | radiological dating | radiological dating | radiation interactions | radiation interactions | radon | radon | medical imaging | medical imaging

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.htm

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18.950 Differential Geometry (MIT) 18.950 Differential Geometry (MIT)

Description

This course is an introduction to differential geometry. The course itself is mathematically rigorous, but still emphasizes concrete aspects of geometry, centered on the notion of curvature. This course is an introduction to differential geometry. The course itself is mathematically rigorous, but still emphasizes concrete aspects of geometry, centered on the notion of curvature.

Subjects

differential geometry | differential geometry | geometry of plane curves | geometry of plane curves | hypersurfaces | hypersurfaces | geometry of lengths and distances | geometry of lengths and distances

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.htm

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