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18.997 Topics in Combinatorial Optimization (MIT) 18.997 Topics in Combinatorial Optimization (MIT)

Description

In this graduate-level course, we will be covering advanced topics in combinatorial optimization. We will start with non-bipartite matchings and cover many results extending the fundamental results of matchings, flows and matroids. The emphasis is on the derivation of purely combinatorial results, including min-max relations, and not so much on the corresponding algorithmic questions of how to find such objects. The intended audience consists of Ph.D. students interested in optimization, combinatorics, or combinatorial algorithms. In this graduate-level course, we will be covering advanced topics in combinatorial optimization. We will start with non-bipartite matchings and cover many results extending the fundamental results of matchings, flows and matroids. The emphasis is on the derivation of purely combinatorial results, including min-max relations, and not so much on the corresponding algorithmic questions of how to find such objects. The intended audience consists of Ph.D. students interested in optimization, combinatorics, or combinatorial algorithms.Subjects

combinatorial optimization | combinatorial optimization | Ear decompositions | Ear decompositions | Nonbipartite matching | Nonbipartite matching | Gallai-Milgram and Bessy-Thomasse theorems on partitioning/covering graphs by directed paths/cycles | Gallai-Milgram and Bessy-Thomasse theorems on partitioning/covering graphs by directed paths/cycles | Minimization of submodular functions | Minimization of submodular functions | Matroid intersection | Matroid intersection | Polymatroid intersection | Polymatroid intersection | Jump systems | Jump systems | Matroid union | Matroid union | Matroid matching | path matchings | Matroid matching | path matchings | Packing trees and arborescences | Packing trees and arborescences | Packing directed cuts and the Lucchesi-Younger theorem | Packing directed cuts and the Lucchesi-Younger theorem | Submodular flows and the Edmonds-Giles theorem | Submodular flows and the Edmonds-Giles theorem | Graph orientation | Graph orientation | Connectivity tree and connectivity augmentation | Connectivity tree and connectivity augmentation | Multicommodity flows | Multicommodity flows | Connectivity tree | Connectivity tree | connectivity augmentation | connectivity augmentation | Gallai-Milgram Theorem | Gallai-Milgram Theorem | Bessy-Thomasse Theorem | Bessy-Thomasse Theorem | paritioning graphs | paritioning graphs | covering graphs | covering graphs | directed paths | directed paths | directed cycles | directed cycles | matroid matching | matroid matching | path matching | path matching | packing directed cuts | packing directed cuts | Luchessi-Younger Theorem | Luchessi-Younger Theorem | packing trees | packing trees | arborescences | arborescences | submodular flows | submodular flows | Edmonds-Giles Theorem | Edmonds-Giles TheoremLicense

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See all metadata14.147 Topics in Game Theory (MIT) 14.147 Topics in Game Theory (MIT)

Description

This course is an advanced topics course on market and mechanism design. We will study existing or new market institutions, understand their properties, and think about whether they can be re-engineered or improved. Topics discussed include mechanism design, auction theory, one-sided matching in house allocation, two-sided matching, stochastic matching mechanisms, student assignment, and school choice. This course is an advanced topics course on market and mechanism design. We will study existing or new market institutions, understand their properties, and think about whether they can be re-engineered or improved. Topics discussed include mechanism design, auction theory, one-sided matching in house allocation, two-sided matching, stochastic matching mechanisms, student assignment, and school choice.Subjects

game theory | game theory | mechanism design | mechanism design | auction theory | auction theory | one-sided matching | one-sided matching | house allocation | house allocation | market problems | market problems | two-sided matching | two-sided matching | stability | stability | many-to-one | many-to-one | one-to-one | one-to-one | small cores | small cores | large markets | large markets | stochastic matching mechanisms | stochastic matching mechanisms | student assignment | student assignment | school choice | school choice | resale markets | resale markets | dynamics | dynamics | simplicity | simplicity | robustness | robustness | limited rationality | limited rationality | message spaces | message spaces | sharing risk | sharing risk | decentralized exchanges | decentralized exchanges | over-the-counter exchanges | over-the-counter exchangesLicense

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 metadata18.997 Topics in Combinatorial Optimization (MIT)

Description

In this graduate-level course, we will be covering advanced topics in combinatorial optimization. We will start with non-bipartite matchings and cover many results extending the fundamental results of matchings, flows and matroids. The emphasis is on the derivation of purely combinatorial results, including min-max relations, and not so much on the corresponding algorithmic questions of how to find such objects. The intended audience consists of Ph.D. students interested in optimization, combinatorics, or combinatorial algorithms.Subjects

combinatorial optimization | Ear decompositions | Nonbipartite matching | Gallai-Milgram and Bessy-Thomasse theorems on partitioning/covering graphs by directed paths/cycles | Minimization of submodular functions | Matroid intersection | Polymatroid intersection | Jump systems | Matroid union | Matroid matching | path matchings | Packing trees and arborescences | Packing directed cuts and the Lucchesi-Younger theorem | Submodular flows and the Edmonds-Giles theorem | Graph orientation | Connectivity tree and connectivity augmentation | Multicommodity flows | Connectivity tree | connectivity augmentation | Gallai-Milgram Theorem | Bessy-Thomasse Theorem | paritioning graphs | covering graphs | directed paths | directed cycles | matroid matching | path matching | packing directed cuts | Luchessi-Younger Theorem | packing trees | arborescences | submodular flows | Edmonds-Giles TheoremLicense

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.htmSite sourced from

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See all metadata14.121 Microeconomic Theory I (MIT) 14.121 Microeconomic Theory I (MIT)

Description

This half-semester course provides an introduction to microeconomic theory designed to meet the needs of students in the economics Ph.D. program. Some parts of the course are designed to teach material that all graduate students should know. Others are used to introduce methodologies. Topics include consumer and producer theory, markets and competition, general equilibrium, and tools of comparative statics and their application to price theory. Some topics of recent interest may also be covered. This half-semester course provides an introduction to microeconomic theory designed to meet the needs of students in the economics Ph.D. program. Some parts of the course are designed to teach material that all graduate students should know. Others are used to introduce methodologies. Topics include consumer and producer theory, markets and competition, general equilibrium, and tools of comparative statics and their application to price theory. Some topics of recent interest may also be covered.Subjects

microeconomic theory | microeconomic theory | demand theory | demand theory | producer theory; partial equilibrium | producer theory; partial equilibrium | competitive markets | competitive markets | general equilibrium | general equilibrium | externalities | externalities | Afriat's theorem | Afriat's theorem | pricing | pricing | robust comparative statics | robust comparative statics | utility theory | utility theory | properties of preferences | properties of preferences | choice as primitive | choice as primitive | revealed preference | revealed preference | classical demand theory | classical demand theory | Kuhn-Tucker necessary conditions | Kuhn-Tucker necessary conditions | implications of Walras?s law | implications of Walras?s law | indirect utility functions | indirect utility functions | theorem of the maximum (Berge?s theorem) | theorem of the maximum (Berge?s theorem) | expenditure minimization problem | expenditure minimization problem | Hicksian demands | Hicksian demands | compensated law of demand | compensated law of demand | Slutsky substitution | Slutsky substitution | price changes and welfare | price changes and welfare | compensating variation | compensating variation | and welfare from new goods | and welfare from new goods | price indexes | price indexes | bias in the U.S. consumer price index | bias in the U.S. consumer price index | integrability | integrability | demand aggregation | demand aggregation | aggregate demand and welfare | aggregate demand and welfare | Frisch demands | Frisch demands | and demand estimation | and demand estimation | increasing differences | increasing differences | producer theory applications | producer theory applications | the LeCh?telier principle | the LeCh?telier principle | Topkis? theorem | Topkis? theorem | Milgrom-Shannon monotonicity theorem | Milgrom-Shannon monotonicity theorem | monopoly pricing | monopoly pricing | monopoly and product quality | monopoly and product quality | nonlinear pricing | nonlinear pricing | and price discrimination | and price discrimination | simple models of externalities | simple models of externalities | government intervention | government intervention | Coase theorem | Coase theorem | Myerson-Sattherthwaite proposition | Myerson-Sattherthwaite proposition | missing markets | missing markets | price vs. quantity regulations | price vs. quantity regulations | Weitzman?s analysis | Weitzman?s analysis | uncertainty | uncertainty | common property externalities | common property externalities | optimization | optimization | equilibrium number of boats | equilibrium number of boats | welfare theorems | welfare theorems | uniqueness and determinacy | uniqueness and determinacy | price-taking assumption | price-taking assumption | Edgeworth box | Edgeworth box | welfare properties | welfare properties | Pareto efficiency | Pareto efficiency | Walrasian equilibrium with transfers | Walrasian equilibrium with transfers | Arrow-Debreu economy | Arrow-Debreu economy | separating hyperplanes | separating hyperplanes | Minkowski?s theorem | Minkowski?s theorem | Existence of Walrasian equilibrium | Existence of Walrasian equilibrium | Kakutani?s fixed point theorem | Kakutani?s fixed point theorem | Debreu-Gale-Kuhn-Nikaido lemma | Debreu-Gale-Kuhn-Nikaido lemma | additional properties of general equilibrium | additional properties of general equilibrium | Microfoundations | Microfoundations | core | core | core convergence | core convergence | general equilibrium with time and uncertainty | general equilibrium with time and uncertainty | Jensen?s inequality | Jensen?s inequality | and security market economy | and security market economy | arbitrage pricing theory | arbitrage pricing theory | and risk-neutral probabilities | and risk-neutral probabilities | Housing markets | Housing markets | competitive equilibrium | competitive equilibrium | one-sided matching house allocation problem | one-sided matching house allocation problem | serial dictatorship | serial dictatorship | two-sided matching | two-sided matching | marriage markets | marriage markets | existence of stable matchings | existence of stable matchings | incentives | incentives | housing markets core mechanism | housing markets core mechanismLicense

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 metadata14.147 Topics in Game Theory (MIT)

Description

This course is an advanced topics course on market and mechanism design. We will study existing or new market institutions, understand their properties, and think about whether they can be re-engineered or improved. Topics discussed include mechanism design, auction theory, one-sided matching in house allocation, two-sided matching, stochastic matching mechanisms, student assignment, and school choice.Subjects

game theory | mechanism design | auction theory | one-sided matching | house allocation | market problems | two-sided matching | stability | many-to-one | one-to-one | small cores | large markets | stochastic matching mechanisms | student assignment | school choice | resale markets | dynamics | simplicity | robustness | limited rationality | message spaces | sharing risk | decentralized exchanges | over-the-counter exchangesLicense

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.htmSite sourced from

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See all metadata18.312 Algebraic Combinatorics (MIT) 18.312 Algebraic Combinatorics (MIT)

Description

This course analyzes the applications of algebra to combinatorics and conversely. The topics discussed include enumeration methods, partially ordered sets and lattices, matching theory, partitions and tableaux, algebraic graph theory, and combinatorics of polytopes. This course analyzes the applications of algebra to combinatorics and conversely. The topics discussed include enumeration methods, partially ordered sets and lattices, matching theory, partitions and tableaux, algebraic graph theory, and combinatorics of polytopes.Subjects

Applications of algebra to combinatorics and conversely | Applications of algebra to combinatorics and conversely | enumeration methods | enumeration methods | partially ordered sets and lattices | partially ordered sets and lattices | matching theory | matching theory | partitions and tableaux | partitions and tableaux | algebraic graph theory | algebraic graph theory | combinatorics of polytopes | combinatorics of polytopesLicense

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 metadata6.630 Electromagnetic Theory (MIT) 6.630 Electromagnetic Theory (MIT)

Description

6.630 is an introductory subject on electromagnetics, emphasizing fundamental concepts and applications of Maxwell equations. Topics covered include: polarization, dipole antennas, wireless communications, forces and energy, phase matching, dielectric waveguides and optical fibers, transmission line theory and circuit concepts, antennas, and equivalent principle. Examples deal with electrodynamics, propagation, guidance, and radiation of electromagnetic waves.Technical RequirementsMATLAB® software is required to run the .m files found on this course site. Media player software, such as QuickTime® Player, RealOne™ Player, or Windows Media® Player, is required to run the .mpeg files found on this course site. The latest version 6.630 is an introductory subject on electromagnetics, emphasizing fundamental concepts and applications of Maxwell equations. Topics covered include: polarization, dipole antennas, wireless communications, forces and energy, phase matching, dielectric waveguides and optical fibers, transmission line theory and circuit concepts, antennas, and equivalent principle. Examples deal with electrodynamics, propagation, guidance, and radiation of electromagnetic waves.Technical RequirementsMATLAB® software is required to run the .m files found on this course site. Media player software, such as QuickTime® Player, RealOne™ Player, or Windows Media® Player, is required to run the .mpeg files found on this course site. The latest versionSubjects

electromagnetics | electromagnetics | Maxwell | Maxwell | polarization | polarization | dipole antennas | dipole antennas | wireless communications | wireless communications | forces | forces | energy | energy | phase matching | phase matching | dielectric waveguides | dielectric waveguides | optical fibers | optical fibers | transmission line theory | transmission line theory | circuit | circuit | antennas | antennas | equivalent principle | equivalent principle | electrodynamics | electrodynamics | propagation | propagation | guidance | guidance | radiation | radiation | electromagnetic waves | electromagnetic wavesLicense

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 metadata8.851 Strong Interactions (MIT) 8.851 Strong Interactions (MIT)

Description

Strong Interactions is a course in the construction and application of effective field theories, which are a modern tool of choice in making predictions based on the Standard Model. Concepts such as matching, renormalization, the operator product expansion, power counting, and running with the renormalization group will be discussed. Topics will be taken from heavy quark decays and CP violation, factorization in hard processes (deep inelastic scattering and exclusive processes), non-relativistic bound states in field theory (QED and QCD), chiral perturbation theory, few-nucleon systems, and possibly other Standard Model subjects. Strong Interactions is a course in the construction and application of effective field theories, which are a modern tool of choice in making predictions based on the Standard Model. Concepts such as matching, renormalization, the operator product expansion, power counting, and running with the renormalization group will be discussed. Topics will be taken from heavy quark decays and CP violation, factorization in hard processes (deep inelastic scattering and exclusive processes), non-relativistic bound states in field theory (QED and QCD), chiral perturbation theory, few-nucleon systems, and possibly other Standard Model subjects.Subjects

matching | matching | renormalization | renormalization | the operator product expansion | the operator product expansion | power counting | power counting | heavy quark decays | heavy quark decays | CP violation | CP violation | factorization in hard processes | factorization in hard processes | non-relativistic bound states in field theory (QED and QCD) | non-relativistic bound states in field theory (QED and QCD) | chiral perturbation theory | chiral perturbation theory | few-nucleon systems | few-nucleon systems | strong force | strong force | quarks | quarks | relativistic quantum field theory | relativistic quantum field theory | quantum chromodynamics | quantum chromodynamics | QCD | QCD | QCD Langrangian | QCD Langrangian | asymptotic freedom | asymptotic freedom | deep inelastic scattering | deep inelastic scattering | jets | jets | QCD vacuum | QCD vacuum | instantons | instantons | U(1) proglem | U(1) proglem | lattice gauge theory | lattice gauge theory | strong interactions | strong interactions | standard model | standard model | operator product expansion | operator product expansion | factorization | factorization | hard processes | hard processes | exclusive processes | exclusive processes | non-relativistic bound states | non-relativistic bound states | QED | QED | massive particles | massive particles | effective field theory | effective field theory | soft-collinear effective theory | soft-collinear effective 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 metadata6.630 Electromagnetics (MIT) 6.630 Electromagnetics (MIT)

Description

6.630 is an introductory subject on electromagnetics, emphasizing fundamental concepts and applications of Maxwell equations. Topics covered include: polarization, dipole antennas, wireless communications, forces and energy, phase matching, dielectric waveguides and optical fibers, transmission line theory and circuit concepts, antennas, and equivalent principle. Examples deal with electrodynamics, propagation, guidance, and radiation of electromagnetic waves. 6.630 is an introductory subject on electromagnetics, emphasizing fundamental concepts and applications of Maxwell equations. Topics covered include: polarization, dipole antennas, wireless communications, forces and energy, phase matching, dielectric waveguides and optical fibers, transmission line theory and circuit concepts, antennas, and equivalent principle. Examples deal with electrodynamics, propagation, guidance, and radiation of electromagnetic waves.Subjects

electromagnetics | electromagnetics | Maxwell | Maxwell | polarization | polarization | dipole antennas | dipole antennas | wireless communications | wireless communications | forces | forces | energy | energy | phase matching | phase matching | dielectric waveguides | dielectric waveguides | optical fibers | optical fibers | transmission line theory | transmission line theory | circuit | circuit | antennas | antennas | equivalent principle | equivalent principle | electrodynamics | electrodynamics | propagation | propagation | guidance | guidance | radiation | radiation | electromagnetic waves | electromagnetic wavesLicense

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 is a course in the construction and application of effective field theories, which are the modern tool of choice in making predictions based on the Standard Model. Concepts such as matching, renormalization, the operator product expansion, power counting, and running with the renormalization group will be discussed. Topics will be taken from factorization in hard processes relevant for the LHC, heavy quark decays and CP violation, chiral perturbation theory, non-relativistic bound states in field theory (QED and QCD), nucleon effective theories with a fine-tuning, and possibly other subjects from QCD, electroweak physics, and gravity. This is a course in the construction and application of effective field theories, which are the modern tool of choice in making predictions based on the Standard Model. Concepts such as matching, renormalization, the operator product expansion, power counting, and running with the renormalization group will be discussed. Topics will be taken from factorization in hard processes relevant for the LHC, heavy quark decays and CP violation, chiral perturbation theory, non-relativistic bound states in field theory (QED and QCD), nucleon effective theories with a fine-tuning, and possibly other subjects from QCD, electroweak physics, and gravity.Subjects

matching | matching | renormalization | renormalization | the operator product expansion | the operator product expansion | power counting | power counting | heavy quark decays | heavy quark decays | CP violation | CP violation | factorization in hard processes | factorization in hard processes | non-relativistic bound states in field theory (QED and QCD) | non-relativistic bound states in field theory (QED and QCD) | chiral perturbation theory | chiral perturbation theory | few-nucleon systems | few-nucleon 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 metadata18.433 Combinatorial Optimization (MIT) 18.433 Combinatorial Optimization (MIT)

Description

Combinatorial Optimization provides a thorough treatment of linear programming and combinatorial optimization. Topics include network flow, matching theory, matroid optimization, and approximation algorithms for NP-hard problems. Combinatorial Optimization provides a thorough treatment of linear programming and combinatorial optimization. Topics include network flow, matching theory, matroid optimization, and approximation algorithms for NP-hard problems.Subjects

linear programming | linear programming | combinatorial optimization | combinatorial optimization | network flow | network flow | matching theory | matching theory | matroid optimization | matroid optimization | approximation algorithms for NP-hard problems | approximation algorithms for NP-hard problems | approximation algorithms | approximation algorithms | NP-hard problems | NP-hard problems | discrete mathematics | discrete mathematics | fundamental algorithmic techniques | fundamental algorithmic techniques | convex programming | convex programming | flow theory | flow theory | randomization | randomizationLicense

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 metadata18.433 Combinatorial Optimization (MIT) 18.433 Combinatorial Optimization (MIT)

Description

Combinatorial Optimization provides a thorough treatment of linear programming and combinatorial optimization. Topics include network flow, matching theory, matroid optimization, and approximation algorithms for NP-hard problems. Combinatorial Optimization provides a thorough treatment of linear programming and combinatorial optimization. Topics include network flow, matching theory, matroid optimization, and approximation algorithms for NP-hard problems.Subjects

linear programming | linear programming | combinatorial optimization | combinatorial optimization | network flow | network flow | matching theory | matching theory | matroid optimization | matroid optimization | approximation algorithms for NP-hard problems | approximation algorithms for NP-hard problems | approximation algorithms | approximation algorithms | NP-hard problems | NP-hard problems | discrete mathematics | discrete mathematics | fundamental algorithmic techniques | fundamental algorithmic techniques | convex programming | convex programming | flow theory | flow theory | randomization | randomizationLicense

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 metadata15.761 Operations Management (MIT) 15.761 Operations Management (MIT)

Description

This course will introduce concepts and techniques for design, planning and control of manufacturing and service operations. The course provides basic definitions of operations management terms, tools and techniques for analyzing operations, and strategic context for making operational decisions. We present the material in five modules: Operations Analysis Coordination and Planning Quality Management Project Management Logistics and Supply Chain Management This course will introduce concepts and techniques for design, planning and control of manufacturing and service operations. The course provides basic definitions of operations management terms, tools and techniques for analyzing operations, and strategic context for making operational decisions. We present the material in five modules: Operations Analysis Coordination and Planning Quality Management Project Management Logistics and Supply Chain ManagementSubjects

manufacturing | manufacturing | service | service | analyzing operations | analyzing operations | operational decisions | operational decisions | operations analysis | operations analysis | quality management | quality management | project management | project management | logistics | logistics | supply chain management | supply chain management | job shop operations | job shop operations | process matching | process matching | queuing | queuing | forecasting | forecasting | queueing | queueing | analysis | analysis | analyzing | analyzing | operations | operations | coordination | coordination | planning | planning | quality | quality | project | project | management | management | supply chain | supply chain | job shop | job shop | decisions | decisions | decision making | decision making | operational | operational | design | design | control | control | materials | materials | production | production | scheduling | scheduling | reengineering | reengineering | capacity | capacity | facilities | facilities | strategy | strategy | process | process | processes | processes | matching | matching | inventory | inventory | vendor | vendor | customer | customerLicense

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 empirical strategies for applied micro research questions. Our agenda includes regression and matching, instrumental variables, differences-in-differences, regression discontinuity designs, standard errors, and a module consisting of 8–9 lectures on the analysis of high-dimensional data sets a.k.a. "Big Data". This course covers empirical strategies for applied micro research questions. Our agenda includes regression and matching, instrumental variables, differences-in-differences, regression discontinuity designs, standard errors, and a module consisting of 8–9 lectures on the analysis of high-dimensional data sets a.k.a. "Big Data".Subjects

econometrics | econometrics | big data | big data | research | research | economics | economics | regression | regression | matching | matching | instrumental variables | instrumental variables | differences-in-differences | differences-in-differences | standard errors | standard errors | high-dimensional data sets | high-dimensional data setsLicense

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 metadataHot Potatoes quiz - matching exercise - Electronic Structures

Description

Hot Potatoes quiz - matching exercise - Electronic Structures - learners will need a periodic table.Subjects

hot potatoes | quiz | exercise | matching | electronic structures | SCIENCES and MATHEMATICS | RLicense

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/Site sourced from

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See all metadataHot Potatoes quiz - matching exercise - Organic Chemistry Terms

Description

Hot Potatoes quiz - matching exercise - Organic Chemistry Terms (timed to be completed within 10 minutes)Subjects

hot potatoes | chemistry | matching | exercise | organic | terms | quiz | SCIENCES and MATHEMATICS | RLicense

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/Site sourced from

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See all metadataHot Potatoes quiz - matching exercise - Organic Chemistry Terms

Description

Hot Potatoes quiz - matching exercise - Organic Chemistry Terms - drag and drop (timed to be completed within 10 minutes)Subjects

matching | hot potatoes | quiz | exercise | chemistry | organic | SCIENCES and MATHEMATICS | RLicense

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/Site sourced from

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See all metadataHot Potatoes quiz - matching exercise - oil processes

Description

Hot Potatoes quiz - matching exercise - oil processes - drag and dropSubjects

drag and drop | exercise | hot potatoes | matching | chemistry | oil process | SCIENCES and MATHEMATICS | RLicense

Attribution-Noncommercial 2.0 UK: England & Wales Attribution-Noncommercial 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc/2.0/uk/ http://creativecommons.org/licenses/by-nc/2.0/uk/Site sourced from

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See all metadata14.121 Microeconomic Theory I (MIT)

Description

This half-semester course provides an introduction to microeconomic theory designed to meet the needs of students in the economics Ph.D. program. Some parts of the course are designed to teach material that all graduate students should know. Others are used to introduce methodologies. Topics include consumer and producer theory, markets and competition, general equilibrium, and tools of comparative statics and their application to price theory. Some topics of recent interest may also be covered.Subjects

microeconomic theory | demand theory | producer theory; partial equilibrium | competitive markets | general equilibrium | externalities | Afriat's theorem | pricing | robust comparative statics | utility theory | properties of preferences | choice as primitive | revealed preference | classical demand theory | Kuhn-Tucker necessary conditions | implications of Walras?s law | indirect utility functions | theorem of the maximum (Berge?s theorem) | expenditure minimization problem | Hicksian demands | compensated law of demand | Slutsky substitution | price changes and welfare | compensating variation | and welfare from new goods | price indexes | bias in the U.S. consumer price index | integrability | demand aggregation | aggregate demand and welfare | Frisch demands | and demand estimation | increasing differences | producer theory applications | the LeCh?telier principle | Topkis? theorem | Milgrom-Shannon monotonicity theorem | monopoly pricing | monopoly and product quality | nonlinear pricing | and price discrimination | simple models of externalities | government intervention | Coase theorem | Myerson-Sattherthwaite proposition | missing markets | price vs. quantity regulations | Weitzman?s analysis | uncertainty | common property externalities | optimization | equilibrium number of boats | welfare theorems | uniqueness and determinacy | price-taking assumption | Edgeworth box | welfare properties | Pareto efficiency | Walrasian equilibrium with transfers | Arrow-Debreu economy | separating hyperplanes | Minkowski?s theorem | Existence of Walrasian equilibrium | Kakutani?s fixed point theorem | Debreu-Gale-Kuhn-Nikaido lemma | additional properties of general equilibrium | Microfoundations | core | core convergence | general equilibrium with time and uncertainty | Jensen?s inequality | and security market economy | arbitrage pricing theory | and risk-neutral probabilities | Housing markets | competitive equilibrium | one-sided matching house allocation problem | serial dictatorship | two-sided matching | marriage markets | existence of stable matchings | incentives | housing markets core mechanismLicense

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.htmSite sourced from

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See all metadataA Bengali quiz and a matching exercise: food

Description

Two online exercises created using the software Hot Potatoes. Both are in Bengali. One is a matching exercise and the other is a short quiz. Both are on the topic of 'food'.License

Creative Commons Attribution Non-commercial Share AlikeSite sourced from

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See all metadataL313Thema5Teil5_Ueber_Literatur_schreiben_Synonyme

Description

A matching activity, to help students broaden vocabulary and develop an interesting writing style. This is useful for both TMA 5 and the final project. The interactive version can be used as a whole-group warm-up or assessment activity. A computer and data projector are required for face-to-face tutorials. This activity is not suitable for Elluminate. It was made with Hot Potatoes software, which can be downloaded free of charge from http://hotpot.uvic.ca/index.php The print version works well as a pairwork activity. Print the sheets(1 set for every two or three students),cut them into separate cards and distribute one set to each pair or group. Many students find working with cards much easier than matching items on a printed page.License

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See all metadataL313Thema3_Regionalismus_Dialekte_Synonyme

Description

A matching activity,to help students broaden vocabulary and develop a varied writing style. This is useful for both TMAs 1 and the final project. The interactive version can be used as a whole-group warm-up or assessment activity. A computer and data projector are required for face-to-face tutorials. It is not suitable for Elluminate tutorials. This activity was made with Hot Potatoes software, which can be downloaded free of charge from http://hotpot.uvic.ca/index.php The print version works well as a pairwork activity. Print the sheets(1 set for every two or three students),cut them into separate cards and distribute one set to each pair or group. Many students find working with cards much easier than matching items on a printed page.License

Content licensed under a variety of Creative Commons optionsSite sourced from

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See all metadataL197Unit1_Session 4_matching character with pinyin

Description

Activity of matching pinyin to charactersLicense

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See all metadata14.661 Labor Economics I (MIT) 14.661 Labor Economics I (MIT)

Description

Neoclassical analysis of the labor market and its institutions. A systematic development of the theory of labor supply, labor demand, and human capital. Topics discussed also include wage and employment determination, turnover, search, immigration, unemployment, equalizing differences, and institutions in the labor market. There is particular emphasis on the interaction of theoretical and empirical modeling and the development of independent research interests. Neoclassical analysis of the labor market and its institutions. A systematic development of the theory of labor supply, labor demand, and human capital. Topics discussed also include wage and employment determination, turnover, search, immigration, unemployment, equalizing differences, and institutions in the labor market. There is particular emphasis on the interaction of theoretical and empirical modeling and the development of independent research interests.Subjects

labor economics | public policy | schooling | learning | matching | experience | wages | minimum wage | college | investment | training | firms | corporations | labor | unions | panel data | neoclassical model | turnover models | turnover | economics | labor economics | public policy | schooling | learning | matching | experience | wages | minimum wage | college | investment | training | firms | corporations | labor | unions | panel data | neoclassical model | turnover models | turnover | economics | labor | labor | market | market | statistics | statistics | theory | theory | neoclassical | neoclassical | supply | supply | model | model | life-cycle | life-cycle | demand | demand | wages | wages | immigration | immigration | human capital | human capital | econometrics | econometrics | liquidity | liquidity | constraints | constraints | mobility | mobility | incentives | incentives | organization | organization | moral hazard | moral hazard | insurance | insurance | investments | investments | efficiency | efficiency | unemployment | unemployment | search | search | jobs | jobs | training | training | capital | capital | firm | firm | technology | technology | skills | skills | risk | risk | signaling | signaling | discrimination | discrimination | self-selection | self-selection | learning | learning | natives | nativesLicense

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 metadata9.35 Sensation and Perception (MIT) 9.35 Sensation and Perception (MIT)

Description

This course explores how senses work and how physical stimuli get transformed into signals in the nervous system, as well as how the brain uses those signals to determine what's out there in the world. All the senses are discussed, with a focus on vision. Topics include perception of color, motion, form, and depth. This course explores how senses work and how physical stimuli get transformed into signals in the nervous system, as well as how the brain uses those signals to determine what's out there in the world. All the senses are discussed, with a focus on vision. Topics include perception of color, motion, form, and depth.Subjects

vision | vision | sensation | sensation | perception | perception | psychophysics | psychophysics | illusion | illusion | depth | depth | parallax | parallax | motion | motion | occlusion | occlusion | matching | matching | recognition | recognition | smell | smell | taste | taste | hearing | hearing | perspective | perspective | sight | sight | figure | figure | ground | ground | completion | completion | modal | modalLicense

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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