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14.121 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 mechanism

License

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21L.005 Introduction to Drama (MIT) 21L.005 Introduction to Drama (MIT)

Description

Drama might be described as a game played with something sacred. It tells stories that go right to the heart of what people believe about themselves. And it is enacted in the moment, which means it has an added layer of interpretive mystery and playfulness, or "theatricality." This course will explore theater and theatricality across periods and cultures, through intensive engagement with texts and with our own readings. Drama might be described as a game played with something sacred. It tells stories that go right to the heart of what people believe about themselves. And it is enacted in the moment, which means it has an added layer of interpretive mystery and playfulness, or "theatricality." This course will explore theater and theatricality across periods and cultures, through intensive engagement with texts and with our own readings.

Subjects

Drama | Drama | literary arts | literary arts | storytelling | storytelling | poetry | poetry | live performance | live performance | ritual | ritual | entertainment | entertainment | communities | communities | social norms | social norms | audiences | audiences | plays | plays | dramatic structure | dramatic structure | performing arts | performing arts | writing | writing | discussion | discussion | writer | writer | speaker | speaker | cultures | cultures | tools | tools | fiction | fiction | ethical | ethical | historical | historical | political | political | artistic | artistic | questions | questions | creativity | creativity | self-awareness | self-awareness | communicate | communicate | theater | theater | outdoor public theatres | outdoor public theatres | scaena frons | scaena frons | many theatre artists | many theatre artists | violence onstage | violence onstage | neoclassical theatre | neoclassical theatre | neoclassical rules | neoclassical rules | medieval theatre | medieval theatre | environmental theatre | environmental theatre | departures from realism | departures from realism | significant playwrights | significant playwrights | first permanent theatre | first permanent theatre | theatre history | theatre history | theatre architecture | theatre architecture | selective realism | selective realism | neoclassical ideals | neoclassical ideals | autos sacramentales | autos sacramentales | formal theatre | formal theatre | tiring house | tiring house | realistic theatre | realistic theatre | scene design | scene design | staging practices | staging practices | female playwrights | female playwrights | crisis drama | crisis drama | symbolist drama | symbolist drama | dramatic rules | dramatic rules | theatrical semiosis | theatrical semiosis | theatrical competence | theatrical competence | deictic orientation | deictic orientation | proxemic relations | proxemic relations | theatre semiotics | theatre semiotics | theatrical communication | theatrical communication | dramatic information | dramatic information | dramatic discourse | dramatic discourse | theatrical sign | theatrical sign | theatrical discourse | theatrical discourse | theatrical frame | theatrical frame | dramatic world | dramatic world | dramatic text | dramatic text | perlocutionary effect | perlocutionary effect | theatrical text | theatrical text | performance text | performance text

License

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21L.005 Introduction to Drama (MIT) 21L.005 Introduction to Drama (MIT)

Description

Drama might be described as a game played with something sacred. It tells stories that go right to the heart of what people believe about themselves. And it is enacted in the moment, which means it has an added layer of interpretive mystery and playfulness, or "theatricality." This course will explore theater and theatricality across periods and cultures, through intensive engagement with texts and with our own readings. Drama might be described as a game played with something sacred. It tells stories that go right to the heart of what people believe about themselves. And it is enacted in the moment, which means it has an added layer of interpretive mystery and playfulness, or "theatricality." This course will explore theater and theatricality across periods and cultures, through intensive engagement with texts and with our own readings.

Subjects

Drama | Drama | literary arts | literary arts | storytelling | storytelling | poetry | poetry | live performance | live performance | ritual | ritual | entertainment | entertainment | communities | communities | social norms | social norms | audiences | audiences | plays | plays | dramatic structure | dramatic structure | performing arts | performing arts | writing | writing | discussion | discussion | writer | writer | speaker | speaker | cultures | cultures | tools | tools | fiction | fiction | ethical | ethical | historical | historical | political | political | artistic | artistic | questions | questions | creativity | creativity | self-awareness | self-awareness | communicate | communicate | theater | theater | outdoor public theatres | outdoor public theatres | scaena frons | scaena frons | many theatre artists | many theatre artists | violence onstage | violence onstage | neoclassical theatre | neoclassical theatre | neoclassical rules | neoclassical rules | medieval theatre | medieval theatre | environmental theatre | environmental theatre | departures from realism | departures from realism | significant playwrights | significant playwrights | first permanent theatre | first permanent theatre | theatre history | theatre history | theatre architecture | theatre architecture | selective realism | selective realism | neoclassical ideals | neoclassical ideals | autos sacramentales | autos sacramentales | formal theatre | formal theatre | tiring house | tiring house | realistic theatre | realistic theatre | scene design | scene design | staging practices | staging practices | female playwrights | female playwrights | crisis drama | crisis drama | symbolist drama | symbolist drama | dramatic rules | dramatic rules | theatrical semiosis | theatrical semiosis | theatrical competence | theatrical competence | deictic orientation | deictic orientation | proxemic relations | proxemic relations | theatre semiotics | theatre semiotics | theatrical communication | theatrical communication | dramatic information | dramatic information | dramatic discourse | dramatic discourse | theatrical sign | theatrical sign | theatrical discourse | theatrical discourse | theatrical frame | theatrical frame | dramatic world | dramatic world | dramatic text | dramatic text | perlocutionary effect | perlocutionary effect | theatrical text | theatrical text | performance text | performance text

License

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18.238 Geometry and Quantum Field Theory (MIT) 18.238 Geometry and Quantum Field Theory (MIT)

Description

Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals. It covers the basics of classical field theory, free quantum theories and Feynman diagrams. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and String Theory. Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals. It covers the basics of classical field theory, free quantum theories and Feynman diagrams. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and String Theory.

Subjects

perturbative quantum field theory | perturbative quantum field theory | classical field theory | classical field theory | free quantum theories | free quantum theories | Feynman diagrams | Feynman diagrams | Renormalization theory | Renormalization theory | Local operators | Local operators | Operator product expansion | Operator product expansion | Renormalization group equation | Renormalization group equation | classical | classical | field | field | theory | theory | Feynman | Feynman | diagrams | diagrams | free | free | quantum | quantum | theories | theories | local | local | operators | operators | product | product | expansion | expansion | perturbative | perturbative | renormalization | renormalization | group | group | equations | equations | functional | functional | function | function | intergrals | intergrals | operator | operator | QFT | QFT | string | string | physics | physics | mathematics | mathematics | geometry | geometry | geometric | geometric | algebraic | algebraic | topology | topology | number | number | 0-dimensional | 0-dimensional | 1-dimensional | 1-dimensional | d-dimensional | d-dimensional | supergeometry | supergeometry | supersymmetry | supersymmetry | conformal | conformal | stationary | stationary | phase | phase | formula | formula | calculus | calculus | combinatorics | combinatorics | matrix | matrix | mechanics | mechanics | lagrangians | lagrangians | hamiltons | hamiltons | least | least | action | action | principle | principle | limits | limits | formalism | formalism | Feynman-Kac | Feynman-Kac | current | current | charges | charges | Noether?s | Noether?s | theorem | theorem | path | path | integral | integral | approach | approach | divergences | divergences | functional integrals | functional integrals | fee quantum theories | fee quantum theories | renormalization theory | renormalization theory | local operators | local operators | operator product expansion | operator product expansion | renormalization group equation | renormalization group equation | mathematical language | mathematical language | string theory | string theory | 0-dimensional QFT | 0-dimensional QFT | Stationary Phase Formula | Stationary Phase Formula | Matrix Models | Matrix Models | Large N Limits | Large N Limits | 1-dimensional QFT | 1-dimensional QFT | Classical Mechanics | Classical Mechanics | Least Action Principle | Least Action Principle | Path Integral Approach | Path Integral Approach | Quantum Mechanics | Quantum Mechanics | Perturbative Expansion using Feynman Diagrams | Perturbative Expansion using Feynman Diagrams | Operator Formalism | Operator Formalism | Feynman-Kac Formula | Feynman-Kac Formula | d-dimensional QFT | d-dimensional QFT | Formalism of Classical Field Theory | Formalism of Classical Field Theory | Currents | Currents | Noether?s Theorem | Noether?s Theorem | Path Integral Approach to QFT | Path Integral Approach to QFT | Perturbative Expansion | Perturbative Expansion | Renormalization Theory | Renormalization Theory | Conformal Field Theory | Conformal Field Theory | algebraic topology | algebraic topology | algebraic geometry | algebraic geometry | number theory | number theory

License

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21L.703 English Renaissance Drama: Theatre and Society in the Age of Shakespeare (MIT) 21L.703 English Renaissance Drama: Theatre and Society in the Age of Shakespeare (MIT)

Description

Shakespeare "doth bestride the narrow world" of the English Renaissance "like a colossus," leaving his contemporaries "walk under his large legs and peep about" to find themselves in "dishonourable graves." This course aims in part to correct this grave injustice by surveying the extraordinary output of playwrights whose names have largely been eclipsed by their more luminous compatriot: Marlowe, Jonson, Webster, and Ford, among others. Reading Shakespeare as just one of a group of practitioners -- many of whom were more popular than him during and even after his remarkable career -- will restore, I hope, a sense not just of the richness of English Renaissance drama, but also that of the historical and cultural moment of the English Renaissance itself. This course will examine the Shakespeare "doth bestride the narrow world" of the English Renaissance "like a colossus," leaving his contemporaries "walk under his large legs and peep about" to find themselves in "dishonourable graves." This course aims in part to correct this grave injustice by surveying the extraordinary output of playwrights whose names have largely been eclipsed by their more luminous compatriot: Marlowe, Jonson, Webster, and Ford, among others. Reading Shakespeare as just one of a group of practitioners -- many of whom were more popular than him during and even after his remarkable career -- will restore, I hope, a sense not just of the richness of English Renaissance drama, but also that of the historical and cultural moment of the English Renaissance itself. This course will examine the

Subjects

Shakespeare | Shakespeare | English Renaissance | English Renaissance | Marlowe | Marlowe | Jonson | Jonson | Webster | Webster | Ford | Ford | English Renaissance drama | English Renaissance drama | the relationship between theatre and society | the relationship between theatre and society | culture | culture | aesthetic | aesthetic | gender and class dynamics in Renaissance society | gender and class dynamics in Renaissance society | money | trade | and colonialism | money | trade | and colonialism | the body as metaphor and theatrical ?object? | the body as metaphor and theatrical ?object? | allegory and aesthetic form | allegory and aesthetic form | theatricality and meta-theatricality | theatricality and meta-theatricality | the private and the public | the private and the public | allegory | allegory | aesthetic form | aesthetic form | drama | drama | gender dynamics | gender dynamics | class dynamics | class dynamics | private | private | public | public | theatrically | theatrically | meta-theatrically | meta-theatrically | money | money | trade | trade | colonialism | colonialism | body | body | metaphor | metaphor | theatre | theatre | society | society | Spanish tragedy | Spanish tragedy | Hamlet | Hamlet | Jew of Malta | Jew of Malta | Alchemist | Alchemist | Duchess of Malfi | Duchess of Malfi | Broken Heart | Broken Heart | Arden of Faversham | Arden of Faversham | Witch of Edmonton | Witch of Edmonton | Knight of the Burning Pestle | Knight of the Burning Pestle | Island Princess | Island Princess

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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8.322 Quantum Theory II (MIT) 8.322 Quantum Theory II (MIT)

Description

8.322 is the second semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: time-dependent perturbation theory and applications to radiation, quantization of EM radiation field, adiabatic theorem and Berry's phase, symmetries in QM, many-particle systems, scattering theory, relativistic quantum mechanics, and Dirac equation. 8.322 is the second semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: time-dependent perturbation theory and applications to radiation, quantization of EM radiation field, adiabatic theorem and Berry's phase, symmetries in QM, many-particle systems, scattering theory, relativistic quantum mechanics, and Dirac equation.

Subjects

uncertainty relation | uncertainty relation | observables | observables | eigenstates | eigenstates | eigenvalues | eigenvalues | probabilities of the results of measurement | probabilities of the results of measurement | transformation theory | transformation theory | equations of motion | equations of motion | constants of motion | constants of motion | Symmetry in quantum mechanics | Symmetry in quantum mechanics | representations of symmetry groups | representations of symmetry groups | Variational and perturbation approximations | Variational and perturbation approximations | Systems of identical particles and applications | Systems of identical particles and applications | Time-dependent perturbation theory | Time-dependent perturbation theory | Scattering theory: phase shifts | Scattering theory: phase shifts | Born approximation | Born approximation | The quantum theory of radiation | The quantum theory of radiation | Second quantization and many-body theory | Second quantization and many-body theory | Relativistic quantum mechanics of one electron | Relativistic quantum mechanics of one electron | probability | probability | measurement | measurement | motion equations | motion equations | motion constants | motion constants | symmetry groups | symmetry groups | quantum mechanics | quantum mechanics | variational approximations | variational approximations | perturbation approximations | perturbation approximations | identical particles | identical particles | time-dependent perturbation theory | time-dependent perturbation theory | scattering theory | scattering theory | phase shifts | phase shifts | quantum theory of radiation | quantum theory of radiation | second quantization | second quantization | many-body theory | many-body theory | relativistic quantum mechanics | relativistic quantum mechanics | one electron | one electron | quantization | quantization | EM radiation field | EM radiation field | electromagnetic radiation field | electromagnetic radiation field | adiabatic theorem | adiabatic theorem | Berry?s phase | Berry?s phase | many-particle systems | many-particle systems | Dirac equation | Dirac equation | Hilbert spaces | Hilbert spaces | time evolution | time evolution | Schrodinger picture | Schrodinger picture | Heisenberg picture | Heisenberg picture | interaction picture | interaction picture | classical mechanics | classical mechanics | path integrals | path integrals | EM fields | EM fields | electromagnetic fields | electromagnetic fields | angular momentum | angular momentum | density operators | density operators | quantum measurement | quantum measurement | quantum statistics | quantum statistics | quantum dynamics | quantum dynamics

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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14.121 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 mechanism

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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8.282J Introduction to Astronomy (MIT) 8.282J Introduction to Astronomy (MIT)

Description

Introduction to Astronomy provides a quantitative introduction to the physics of the solar system, stars, the interstellar medium, the galaxy, and the universe, as determined from a variety of astronomical observations and models. Introduction to Astronomy provides a quantitative introduction to the physics of the solar system, stars, the interstellar medium, the galaxy, and the universe, as determined from a variety of astronomical observations and models.

Subjects

solar system; stars; interstellar medium; the Galaxy; the Universe; planets; planet formation; star formation; stellar evolution; supernovae; compact objects; white dwarfs; neutron stars; black holes; plusars | binary X-ray sources; star clusters; globular and open clusters; interstellar medium | gas | dust | magnetic fields | cosmic rays; distance ladder; | solar system; stars; interstellar medium; the Galaxy; the Universe; planets; planet formation; star formation; stellar evolution; supernovae; compact objects; white dwarfs; neutron stars; black holes; plusars | binary X-ray sources; star clusters; globular and open clusters; interstellar medium | gas | dust | magnetic fields | cosmic rays; distance ladder; | solar system | solar system | stars | stars | interstellar medium | interstellar medium | the Galaxy | the Galaxy | the Universe | the Universe | planets | planets | planet formation | planet formation | star formation | star formation | stellar evolution | stellar evolution | supernovae | supernovae | compact objects | compact objects | white dwarfs | white dwarfs | neutron stars | neutron stars | black holes | black holes | plusars | binary X-ray sources | plusars | binary X-ray sources | star clusters | star clusters | globular and open clusters | globular and open clusters | interstellar medium | gas | dust | magnetic fields | cosmic rays | interstellar medium | gas | dust | magnetic fields | cosmic rays | distance ladder | distance ladder | galaxies | normal and active galaxies | jets | galaxies | normal and active galaxies | jets | gravitational lensing | gravitational lensing | large scaling structure | large scaling structure | Newtonian cosmology | dynamical expansion and thermal history of the Universe | Newtonian cosmology | dynamical expansion and thermal history of the Universe | cosmic microwave background radiation | cosmic microwave background radiation | big-bang nucleosynthesis | big-bang nucleosynthesis | pulsars | pulsars | binary X-ray sources | binary X-ray sources | gas | gas | dust | dust | magnetic fields | magnetic fields | cosmic rays | cosmic rays | galaxy | galaxy | universe | universe | astrophysics | astrophysics | Sun | Sun | supernova | supernova | globular clusters | globular clusters | open clusters | open clusters | jets | jets | Newtonian cosmology | Newtonian cosmology | dynamical expansion | dynamical expansion | thermal history | thermal history | normal galaxies | normal galaxies | active galaxies | active galaxies | Greek astronomy | Greek astronomy | physics | physics | Copernicus | Copernicus | Tycho | Tycho | Kepler | Kepler | Galileo | Galileo | classical mechanics | classical mechanics | circular orbits | circular orbits | full kepler orbit problem | full kepler orbit problem | electromagnetic radiation | electromagnetic radiation | matter | matter | telescopes | telescopes | detectors | detectors | 8.282 | 8.282 | 12.402 | 12.402 | plusars | plusars | galaxies | galaxies | normal and active galaxies | normal and active galaxies | dynamical expansion and thermal history of the Universe | dynamical expansion and thermal history of the Universe

License

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8.321 Quantum Theory I (MIT) 8.321 Quantum Theory I (MIT)

Description

8.321 is the first semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: Hilbert spaces, observables, uncertainty relations, eigenvalue problems and methods for solution thereof, time-evolution in the Schrodinger, Heisenberg, and interaction pictures, connections between classical and quantum mechanics, path integrals, quantum mechanics in EM fields, angular momentum, time-independent perturbation theory, density operators, and quantum measurement. 8.321 is the first semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: Hilbert spaces, observables, uncertainty relations, eigenvalue problems and methods for solution thereof, time-evolution in the Schrodinger, Heisenberg, and interaction pictures, connections between classical and quantum mechanics, path integrals, quantum mechanics in EM fields, angular momentum, time-independent perturbation theory, density operators, and quantum measurement.

Subjects

eigenstates | eigenstates | uncertainty relation | uncertainty relation | observables | observables | eigenvalues | eigenvalues | probabilities of the results of measurement | probabilities of the results of measurement | transformation theory | transformation theory | equations of motion | equations of motion | constants of motion | constants of motion | Symmetry in quantum mechanics | Symmetry in quantum mechanics | representations of symmetry groups | representations of symmetry groups | Variational and perturbation approximations | Variational and perturbation approximations | Systems of identical particles and applications | Systems of identical particles and applications | Time-dependent perturbation theory | Time-dependent perturbation theory | Scattering theory: phase shifts | Scattering theory: phase shifts | Born approximation | Born approximation | The quantum theory of radiation | The quantum theory of radiation | Second quantization and many-body theory | Second quantization and many-body theory | Relativistic quantum mechanics of one electron | Relativistic quantum mechanics of one electron | probability | probability | measurement | measurement | motion equations | motion equations | motion constants | motion constants | symmetry groups | symmetry groups | quantum mechanics | quantum mechanics | variational approximations | variational approximations | perturbation approximations | perturbation approximations | identical particles | identical particles | time-dependent perturbation theory | time-dependent perturbation theory | scattering theory | scattering theory | phase shifts | phase shifts | quantum theory of radiation | quantum theory of radiation | second quantization | second quantization | many-body theory | many-body theory | relativistic quantum mechanics | relativistic quantum mechanics | one electron | one electron | Hilbert spaces | Hilbert spaces | time evolution | time evolution | Schrodinger picture | Schrodinger picture | Heisenberg picture | Heisenberg picture | interaction picture | interaction picture | classical mechanics | classical mechanics | path integrals | path integrals | EM fields | EM fields | electromagnetic fields | electromagnetic fields | angular momentum | angular momentum | density operators | density operators | quantum measurement | quantum measurement | quantum statistics | quantum statistics | quantum dynamics | quantum dynamics

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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21L.005 Introduction to Drama (MIT)

Description

Drama might be described as a game played with something sacred. It tells stories that go right to the heart of what people believe about themselves. And it is enacted in the moment, which means it has an added layer of interpretive mystery and playfulness, or "theatricality." This course will explore theater and theatricality across periods and cultures, through intensive engagement with texts and with our own readings.

Subjects

Drama | literary arts | storytelling | poetry | live performance | ritual | entertainment | communities | social norms | audiences | plays | dramatic structure | performing arts | writing | discussion | writer | speaker | cultures | tools | fiction | ethical | historical | political | artistic | questions | creativity | self-awareness | communicate | theater | outdoor public theatres | scaena frons | many theatre artists | violence onstage | neoclassical theatre | neoclassical rules | medieval theatre | environmental theatre | departures from realism | significant playwrights | first permanent theatre | theatre history | theatre architecture | selective realism | neoclassical ideals | autos sacramentales | formal theatre | tiring house | realistic theatre | scene design | staging practices | female playwrights | crisis drama | symbolist drama | dramatic rules | theatrical semiosis | theatrical competence | deictic orientation | proxemic relations | theatre semiotics | theatrical communication | dramatic information | dramatic discourse | theatrical sign | theatrical discourse | theatrical frame | dramatic world | dramatic text | perlocutionary effect | theatrical text | performance text

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21L.703 Studies in Drama: Too Hot to Handle: Forbidden Plays in Modern America (MIT) 21L.703 Studies in Drama: Too Hot to Handle: Forbidden Plays in Modern America (MIT)

Description

Unlike film, theater in America does not have a ratings board that censors content. So plays have had more freedom to explore and to transgress normative culture. Yet censorship of the theater has been part of American culture from the beginning, and continues today. How and why does this happen, and who decides whether a play is too dangerous to see or to teach? Are plays dangerous? Sinful? Even demonic? In our seminar, we will study plays that have been censored, either legally or extra-legally (i.e. refused production, closed down during production, denied funding, or taken off school reading lists). We'll look at laws, both national and local, relating to the "obscene", as well as unofficial practices, and think about the way censorship operates in American life now. And of course w Unlike film, theater in America does not have a ratings board that censors content. So plays have had more freedom to explore and to transgress normative culture. Yet censorship of the theater has been part of American culture from the beginning, and continues today. How and why does this happen, and who decides whether a play is too dangerous to see or to teach? Are plays dangerous? Sinful? Even demonic? In our seminar, we will study plays that have been censored, either legally or extra-legally (i.e. refused production, closed down during production, denied funding, or taken off school reading lists). We'll look at laws, both national and local, relating to the "obscene", as well as unofficial practices, and think about the way censorship operates in American life now. And of course w

Subjects

drama | drama | forbidden plays | forbidden plays | Modern America | Modern America | decision alley | decision alley | drama strategies | drama strategies | drama skills | drama skills | purchasing institution | purchasing institution | drama activity | drama activity | drama activities | drama activities | writing opportunity | writing opportunity | last wolf | last wolf | learning medium | learning medium | literacy activities | literacy activities | writing opportunities | writing opportunities | foundation stage | foundation stage | assessment focus | assessment focus | two long lines | two long lines | dramatic activity | dramatic activity | action conventions | action conventions | literary arts | literary arts | storytelling | storytelling | poetry | poetry | live performance | live performance | ritual | ritual | entertainment | entertainment | communities | communities | social norms | social norms | audiences | audiences | plays | plays | dramatic structure | dramatic structure | performing arts | performing arts | writing | writing | discussion | discussion | writer | writer | speaker | speaker | cultures | cultures | tools | tools | fiction | fiction | ethical | ethical | historical | historical | political | political | artistic | artistic | questions | questions | creativity | creativity | self-awareness | self-awareness | communicate | communicate | theater | theater | outdoor public theatres | outdoor public theatres | scaena frons | scaena frons | many theatre artists | many theatre artists | violence onstage | violence onstage | neoclassical theatre | neoclassical theatre | neoclassical rules | neoclassical rules | medieval theatre | medieval theatre | environmental theatre | environmental theatre | departures from realism | departures from realism | significant playwrights | significant playwrights | first permanent theatre | first permanent theatre | theatre history | theatre history | theatre | theatre | censorship | censorship | blacklist | blacklist | banned | banned | obscenity | obscenity | architecture | architecture | selective realism | selective realism

License

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21A.217 Anthropology of War and Peace (MIT) 21A.217 Anthropology of War and Peace (MIT)

Description

This class has been reorganized to focus primarily on the War in Iraq. As in previous years, the class still examines war in cross-cultural perspective, asking whether war is intrinsic to human nature, what causes war, how particular cultural experiences of war differ, and how war has affected American culture. This class has been reorganized to focus primarily on the War in Iraq. As in previous years, the class still examines war in cross-cultural perspective, asking whether war is intrinsic to human nature, what causes war, how particular cultural experiences of war differ, and how war has affected American culture.

Subjects

anthropology | anthropology | war | war | peace | peace | f humans are by nature warlike | f humans are by nature warlike | the evolution of war in cross-cultural perspective | the evolution of war in cross-cultural perspective | the socialization of warriors and the construction of enemies | the socialization of warriors and the construction of enemies | the recent emergence of anti-war movements | the recent emergence of anti-war movements | sociobiological and other theories of war | sociobiological and other theories of war | ethnic hatred and civil war in Rwanda | ethnic hatred and civil war in Rwanda | Bosnia | Bosnia | and Northern Ireland | and Northern Ireland | military culture in the U.S. and elsewhere | military culture in the U.S. and elsewhere | peace movements | peace movements | studies of military conversion | studies of military conversion | Northern Ireland | Northern Ireland | humans are by nature warlike | humans are by nature warlike

License

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21H.112 The American Revolution (MIT) 21H.112 The American Revolution (MIT)

Description

This course is concerned primarily with the revolutionary origins of American government. Topics covered include: English and American backgrounds of the Revolution; issues and arguments in the Anglo-American conflict; colonial resistance and the beginnings of republicanism; the Revolutionary War; constitution writing for the states and nation; and effects of the American Revolution. Readings emphasize documents from the period--pamphlets, correspondence, the minutes or resolutions of resistance organizations, constitutional documents and debates. This course is concerned primarily with the revolutionary origins of American government. Topics covered include: English and American backgrounds of the Revolution; issues and arguments in the Anglo-American conflict; colonial resistance and the beginnings of republicanism; the Revolutionary War; constitution writing for the states and nation; and effects of the American Revolution. Readings emphasize documents from the period--pamphlets, correspondence, the minutes or resolutions of resistance organizations, constitutional documents and debates.

Subjects

English and American backgrounds of the Revolution | English and American backgrounds of the Revolution | issues and arguments in the Anglo-American conflict | issues and arguments in the Anglo-American conflict | colonial resistance and the beginnings of republicanism | colonial resistance and the beginnings of republicanism | the Revolutionary War | the Revolutionary War | constitution writing for the states and nation | constitution writing for the states and nation | and effects of the American Revolution | and effects of the American Revolution | Concerned primarily with the revolutionary origins of American government | Concerned primarily with the revolutionary origins of American government | pamphlets | correspondence | the minutes or resolutions of resistance organizations | constitutional documents and debates | pamphlets | correspondence | the minutes or resolutions of resistance organizations | constitutional documents and debates | English background | English background | American Revolution effects | American Revolution effects | Anglo-American conflict | Anglo-American conflict | colonial resistance | republicanism | colonial resistance | republicanism | constitution writing | constitution writing | revolutionary origins of American government | revolutionary origins of American government | pamphlets | pamphlets | correspondence | correspondence | resistance organizations | resistance organizations | constitutional documents | constitutional documents | debates | debates | colonial resistance | colonial resistance | republicanism | republicanism

License

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18.304 Undergraduate Seminar in Discrete Mathematics (MIT) 18.304 Undergraduate Seminar in Discrete Mathematics (MIT)

Description

This course is a student-presented seminar in combinatorics, graph theory, and discrete mathematics in general. Instruction and practice in written and oral communication is emphasized, with participants reading and presenting papers from recent mathematics literature and writing a final paper in a related topic. This course is a student-presented seminar in combinatorics, graph theory, and discrete mathematics in general. Instruction and practice in written and oral communication is emphasized, with participants reading and presenting papers from recent mathematics literature and writing a final paper in a related topic.

Subjects

discrete math; discrete mathematics; discrete; math; mathematics; seminar; presentations; student presentations; oral; communication; stable marriage; dych; emergency; response vehicles; ambulance; game theory; congruences; color theorem; four color; cake cutting; algorithm; RSA; encryption; numberical integration; sorting; post correspondence problem; PCP; ramsey; van der waals; fibonacci; recursion; domino; tiling; towers; hanoi; pigeonhole; principle; matrix; hamming; code; hat game; juggling; zero-knowledge; proof; repeated games; lewis carroll; determinants; infinitude of primes; bridges; konigsberg; koenigsberg; time series analysis; GARCH; rational; recurrence; relations; digital; image; compression; quantum computing | discrete math; discrete mathematics; discrete; math; mathematics; seminar; presentations; student presentations; oral; communication; stable marriage; dych; emergency; response vehicles; ambulance; game theory; congruences; color theorem; four color; cake cutting; algorithm; RSA; encryption; numberical integration; sorting; post correspondence problem; PCP; ramsey; van der waals; fibonacci; recursion; domino; tiling; towers; hanoi; pigeonhole; principle; matrix; hamming; code; hat game; juggling; zero-knowledge; proof; repeated games; lewis carroll; determinants; infinitude of primes; bridges; konigsberg; koenigsberg; time series analysis; GARCH; rational; recurrence; relations; digital; image; compression; quantum computing | discrete math | discrete math | discrete mathematics | discrete mathematics | discrete | discrete | math | math | mathematics | mathematics | seminar | seminar | presentations | presentations | student presentations | student presentations | oral | oral | communication | communication | stable marriage | stable marriage | dych | dych | emergency | emergency | response vehicles | response vehicles | ambulance | ambulance | game theory | game theory | congruences | congruences | color theorem | color theorem | four color | four color | cake cutting | cake cutting | algorithm | algorithm | RSA | RSA | encryption | encryption | numberical integration | numberical integration | sorting | sorting | post correspondence problem | post correspondence problem | PCP | PCP | ramsey | ramsey | van der waals | van der waals | fibonacci | fibonacci | recursion | recursion | domino | domino | tiling | tiling | towers | towers | hanoi | hanoi | pigeonhole | pigeonhole | principle | principle | matrix | matrix | hamming | hamming | code | code | hat game | hat game | juggling | juggling | zero-knowledge | zero-knowledge | proof | proof | repeated games | repeated games | lewis carroll | lewis carroll | determinants | determinants | infinitude of primes | infinitude of primes | bridges | bridges | konigsberg | konigsberg | koenigsberg | koenigsberg | time series analysis | time series analysis | GARCH | GARCH | rational | rational | recurrence | recurrence | relations | relations | digital | digital | image | image | compression | compression | quantum computing | quantum computing

License

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11.949 City Visions: Past and Future (MIT) 11.949 City Visions: Past and Future (MIT)

Description

This class is intended to introduce students to understandings of the city generated from both social science literature and the field of urban design. The first part of the course examines literature on the history and theory of the city. Among other factors, it pays special attention to the larger territorial settings in which cities emerged and developed (ranging from the global to the national to the regional context) and how these affected the nature, character, and functioning of cities and the lives of their inhabitants. The remaining weeks focus more explicitly on the theory and practice of design visions for the city, the latter in both utopian and realized form. One of our aims will be to assess the conditions under which a variety of design visions were conceived, and to as This class is intended to introduce students to understandings of the city generated from both social science literature and the field of urban design. The first part of the course examines literature on the history and theory of the city. Among other factors, it pays special attention to the larger territorial settings in which cities emerged and developed (ranging from the global to the national to the regional context) and how these affected the nature, character, and functioning of cities and the lives of their inhabitants. The remaining weeks focus more explicitly on the theory and practice of design visions for the city, the latter in both utopian and realized form. One of our aims will be to assess the conditions under which a variety of design visions were conceived, and to as

Subjects

understandings of the city | understandings of the city | social science literature and the field of urban design | social science literature and the field of urban design | literature on the history and theory of the city | literature on the history and theory of the city | larger territorial settings | larger territorial settings | nature | character | and functioning of cities | nature | character | and functioning of cities | lives of inhabitants | lives of inhabitants | theory and practice of design visions for the city | theory and practice of design visions for the city | utopian | utopian | utopian and realized form | utopian and realized form | patterns of territorial ?nestedness? | patterns of territorial ?nestedness? | future prospects of cities | future prospects of cities | territory | territory | cities | cities | context | context | local | local | national | national | global | global | urban settings | urban settings | city design | city design | social justice | social justice | politics of change | politics of change | urban design | urban design | history | history | theory | theory | territorial settings | territorial settings | urbanites | urbanites | city dwellers | city dwellers | inhabitants | inhabitants | nestedness | nestedness | regional | regional | imperial | imperial | politics | politics | sociology | sociology

License

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8.282J Introduction to Astronomy (MIT) 8.282J Introduction to Astronomy (MIT)

Description

Introduction to Astronomy provides a quantitative introduction to physics of the solar system, stars, interstellar medium, the galaxy, and universe, as determined from a variety of astronomical observations and models.Topics include: planets, planet formation; stars, the Sun, "normal" stars, star formation; stellar evolution, supernovae, compact objects (white dwarfs, neutron stars, and black holes), plusars, binary X-ray sources; star clusters, globular and open clusters; interstellar medium, gas, dust, magnetic fields, cosmic rays; distance ladder; galaxies, normal and active galaxies, jets; gravitational lensing; large scaling structure; Newtonian cosmology, dynamical expansion and thermal history of the Universe; cosmic microwave background radiation; big-bang nucleosynthesis Introduction to Astronomy provides a quantitative introduction to physics of the solar system, stars, interstellar medium, the galaxy, and universe, as determined from a variety of astronomical observations and models.Topics include: planets, planet formation; stars, the Sun, "normal" stars, star formation; stellar evolution, supernovae, compact objects (white dwarfs, neutron stars, and black holes), plusars, binary X-ray sources; star clusters, globular and open clusters; interstellar medium, gas, dust, magnetic fields, cosmic rays; distance ladder; galaxies, normal and active galaxies, jets; gravitational lensing; large scaling structure; Newtonian cosmology, dynamical expansion and thermal history of the Universe; cosmic microwave background radiation; big-bang nucleosynthesis

Subjects

solar system; stars; interstellar medium; the Galaxy; the Universe; planets; planet formation; star formation; stellar evolution; supernovae; compact objects; white dwarfs; neutron stars; black holes; plusars | binary X-ray sources; star clusters; globular and open clusters; interstellar medium | gas | dust | magnetic fields | cosmic rays; distance ladder; | solar system; stars; interstellar medium; the Galaxy; the Universe; planets; planet formation; star formation; stellar evolution; supernovae; compact objects; white dwarfs; neutron stars; black holes; plusars | binary X-ray sources; star clusters; globular and open clusters; interstellar medium | gas | dust | magnetic fields | cosmic rays; distance ladder; | solar system | solar system | stars | stars | interstellar medium | interstellar medium | the Galaxy | the Galaxy | the Universe | the Universe | planets | planets | planet formation | planet formation | star formation | star formation | stellar evolution | stellar evolution | supernovae | supernovae | compact objects | compact objects | white dwarfs | white dwarfs | neutron stars | neutron stars | black holes | black holes | plusars | binary X-ray sources | plusars | binary X-ray sources | star clusters | star clusters | globular and open clusters | globular and open clusters | interstellar medium | gas | dust | magnetic fields | cosmic rays | interstellar medium | gas | dust | magnetic fields | cosmic rays | distance ladder | distance ladder | galaxies | normal and active galaxies | jets | galaxies | normal and active galaxies | jets | gravitational lensing | gravitational lensing | large scaling structure | large scaling structure | Newtonian cosmology | dynamical expansion and thermal history of the Universe | Newtonian cosmology | dynamical expansion and thermal history of the Universe | cosmic microwave background radiation | cosmic microwave background radiation | big-bang nucleosynthesis | big-bang nucleosynthesis | pulsars | pulsars | binary X-ray sources | binary X-ray sources | gas | gas | dust | dust | magnetic fields | magnetic fields | cosmic rays | cosmic rays | galaxy | galaxy | universe | universe | astrophysics | astrophysics | Sun | Sun | supernova | supernova | globular clusters | globular clusters | open clusters | open clusters | jets | jets | Newtonian cosmology | Newtonian cosmology | dynamical expansion | dynamical expansion | thermal history | thermal history | normal galaxies | normal galaxies | active galaxies | active galaxies | Greek astronomy | Greek astronomy | physics | physics | Copernicus | Copernicus | Tycho | Tycho | Kepler | Kepler | Galileo | Galileo | classical mechanics | classical mechanics | circular orbits | circular orbits | full kepler orbit problem | full kepler orbit problem | electromagnetic radiation | electromagnetic radiation | matter | matter | telescopes | telescopes | detectors | detectors | 8.282 | 8.282 | 12.402 | 12.402

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18.304 Undergraduate Seminar in Discrete Mathematics (MIT) 18.304 Undergraduate Seminar in Discrete Mathematics (MIT)

Description

This course is a student-presented seminar in combinatorics, graph theory, and discrete mathematics in general. Instruction and practice in written and oral communication is emphasized, with participants reading and presenting papers from recent mathematics literature and writing a final paper in a related topic. This course is a student-presented seminar in combinatorics, graph theory, and discrete mathematics in general. Instruction and practice in written and oral communication is emphasized, with participants reading and presenting papers from recent mathematics literature and writing a final paper in a related topic.

Subjects

discrete math; discrete mathematics; discrete; math; mathematics; seminar; presentations; student presentations; oral; communication; stable marriage; dych; emergency; response vehicles; ambulance; game theory; congruences; color theorem; four color; cake cutting; algorithm; RSA; encryption; numberical integration; sorting; post correspondence problem; PCP; ramsey; van der waals; fibonacci; recursion; domino; tiling; towers; hanoi; pigeonhole; principle; matrix; hamming; code; hat game; juggling; zero-knowledge; proof; repeated games; lewis carroll; determinants; infinitude of primes; bridges; konigsberg; koenigsberg; time series analysis; GARCH; rational; recurrence; relations; digital; image; compression; quantum computing | discrete math; discrete mathematics; discrete; math; mathematics; seminar; presentations; student presentations; oral; communication; stable marriage; dych; emergency; response vehicles; ambulance; game theory; congruences; color theorem; four color; cake cutting; algorithm; RSA; encryption; numberical integration; sorting; post correspondence problem; PCP; ramsey; van der waals; fibonacci; recursion; domino; tiling; towers; hanoi; pigeonhole; principle; matrix; hamming; code; hat game; juggling; zero-knowledge; proof; repeated games; lewis carroll; determinants; infinitude of primes; bridges; konigsberg; koenigsberg; time series analysis; GARCH; rational; recurrence; relations; digital; image; compression; quantum computing | discrete math | discrete math | discrete mathematics | discrete mathematics | discrete | discrete | math | math | mathematics | mathematics | seminar | seminar | presentations | presentations | student presentations | student presentations | oral | oral | communication | communication | stable marriage | stable marriage | dych | dych | emergency | emergency | response vehicles | response vehicles | ambulance | ambulance | game theory | game theory | congruences | congruences | color theorem | color theorem | four color | four color | cake cutting | cake cutting | algorithm | algorithm | RSA | RSA | encryption | encryption | numberical integration | numberical integration | sorting | sorting | post correspondence problem | post correspondence problem | PCP | PCP | ramsey | ramsey | van der waals | van der waals | fibonacci | fibonacci | recursion | recursion | domino | domino | tiling | tiling | towers | towers | hanoi | hanoi | pigeonhole | pigeonhole | principle | principle | matrix | matrix | hamming | hamming | code | code | hat game | hat game | juggling | juggling | zero-knowledge | zero-knowledge | proof | proof | repeated games | repeated games | lewis carroll | lewis carroll | determinants | determinants | infinitude of primes | infinitude of primes | bridges | bridges | konigsberg | konigsberg | koenigsberg | koenigsberg | time series analysis | time series analysis | GARCH | GARCH | rational | rational | recurrence | recurrence | relations | relations | digital | digital | image | image | compression | compression | quantum computing | quantum computing

License

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21L.703 English Renaissance Drama: Theatre and Society in the Age of Shakespeare (MIT)

Description

Shakespeare "doth bestride the narrow world" of the English Renaissance "like a colossus," leaving his contemporaries "walk under his large legs and peep about" to find themselves in "dishonourable graves." This course aims in part to correct this grave injustice by surveying the extraordinary output of playwrights whose names have largely been eclipsed by their more luminous compatriot: Marlowe, Jonson, Webster, and Ford, among others. Reading Shakespeare as just one of a group of practitioners -- many of whom were more popular than him during and even after his remarkable career -- will restore, I hope, a sense not just of the richness of English Renaissance drama, but also that of the historical and cultural moment of the English Renaissance itself. This course will examine the

Subjects

Shakespeare | English Renaissance | Marlowe | Jonson | Webster | Ford | English Renaissance drama | the relationship between theatre and society | culture | aesthetic | gender and class dynamics in Renaissance society | money | trade | and colonialism | the body as metaphor and theatrical ?object? | allegory and aesthetic form | theatricality and meta-theatricality | the private and the public | allegory | aesthetic form | drama | gender dynamics | class dynamics | private | public | theatrically | meta-theatrically | money | trade | colonialism | body | metaphor | theatre | society | Spanish tragedy | Hamlet | Jew of Malta | Alchemist | Duchess of Malfi | Broken Heart | Arden of Faversham | Witch of Edmonton | Knight of the Burning Pestle | Island Princess

License

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18.238 Geometry and Quantum Field Theory (MIT)

Description

Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals. It covers the basics of classical field theory, free quantum theories and Feynman diagrams. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and String Theory.

Subjects

perturbative quantum field theory | classical field theory | free quantum theories | Feynman diagrams | Renormalization theory | Local operators | Operator product expansion | Renormalization group equation | classical | field | theory | Feynman | diagrams | free | quantum | theories | local | operators | product | expansion | perturbative | renormalization | group | equations | functional | function | intergrals | operator | QFT | string | physics | mathematics | geometry | geometric | algebraic | topology | number | 0-dimensional | 1-dimensional | d-dimensional | supergeometry | supersymmetry | conformal | stationary | phase | formula | calculus | combinatorics | matrix | mechanics | lagrangians | hamiltons | least | action | principle | limits | formalism | Feynman-Kac | current | charges | Noether?s | theorem | path | integral | approach | divergences | functional integrals | fee quantum theories | renormalization theory | local operators | operator product expansion | renormalization group equation | mathematical language | string theory | 0-dimensional QFT | Stationary Phase Formula | Matrix Models | Large N Limits | 1-dimensional QFT | Classical Mechanics | Least Action Principle | Path Integral Approach | Quantum Mechanics | Perturbative Expansion using Feynman Diagrams | Operator Formalism | Feynman-Kac Formula | d-dimensional QFT | Formalism of Classical Field Theory | Currents | Noether?s Theorem | Path Integral Approach to QFT | Perturbative Expansion | Renormalization Theory | Conformal Field Theory | algebraic topology | algebraic geometry | number theory

License

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21H.101 American History to 1865 (MIT) 21H.101 American History to 1865 (MIT)

Description

This course focuses on a basic history of American social, economic, and political development from the colonial period through the Civil War. The colonial heritages of Spanish and British America; the American Revolution and its impact; the establishment and growth of the new nation; and the Civil War, its background, character, and impact are examined. Readings include writings of the period by Winthrop, Paine, Jefferson, Madison, W. H. Garrison, G. Fitzhugh, H. B. Stowe, and Lincoln. This course focuses on a basic history of American social, economic, and political development from the colonial period through the Civil War. The colonial heritages of Spanish and British America; the American Revolution and its impact; the establishment and growth of the new nation; and the Civil War, its background, character, and impact are examined. Readings include writings of the period by Winthrop, Paine, Jefferson, Madison, W. H. Garrison, G. Fitzhugh, H. B. Stowe, and Lincoln.

Subjects

A basic history of American social | economic | and political development from the colonial period through the Civil War | A basic history of American social | economic | and political development from the colonial period through the Civil War | colonial heritages of Spanish and British America | colonial heritages of Spanish and British America | the American Revolution and its impact | the American Revolution and its impact | the establishment and growth of the new nation | the establishment and growth of the new nation | the Civil War | its background | character | and impact | the Civil War | its background | character | and impact | writings of the period by Winthrop | Paine | Jefferson | Madison | W. H. Garrison | G. Fitzhugh | H. B. Stowe | and Lincoln | writings of the period by Winthrop | Paine | Jefferson | Madison | W. H. Garrison | G. Fitzhugh | H. B. Stowe | and Lincoln

License

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18.014 Calculus with Theory (MIT) 18.014 Calculus with Theory (MIT)

Description

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

Subjects

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

License

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21G.044 Traditional Chinese Literature: Poetry, Fiction, and Drama (MIT) 21G.044 Traditional Chinese Literature: Poetry, Fiction, and Drama (MIT)

Description

This course is an introduction to some of the major genres of traditional Chinese poetry, fiction, and drama. Intended to give students a basic understanding of the central features of traditional Chinese literary genres, as well as to introduce students to the classic works of the Chinese literary tradition. Works read include Journey to the West, Outlaws of the Marsh, Dream of the Red Chamber, and the poetry of the major Tang dynasty poets. Literature read in translation. Taught in English. This course is an introduction to some of the major genres of traditional Chinese poetry, fiction, and drama. Intended to give students a basic understanding of the central features of traditional Chinese literary genres, as well as to introduce students to the classic works of the Chinese literary tradition. Works read include Journey to the West, Outlaws of the Marsh, Dream of the Red Chamber, and the poetry of the major Tang dynasty poets. Literature read in translation. Taught in English.

Subjects

chinese poetry | chinese poetry | chinese culture | chinese culture | chinese | chinese | novel | novel | the story of the western wing | the story of the western wing | three kingdoms | three kingdoms | outlaws of the marsh | outlaws of the marsh | the journey to the west | the journey to the west | the story of the stone | the story of the stone | monkey | monkey | film adaptation | film adaptation

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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8.851 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 theory

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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18.014 Calculus with Theory I (MIT) 18.014 Calculus with Theory I (MIT)

Description

18.014, Calculus with Theory, covers the same material as 18.01 (Calculus), but at a deeper and more rigorous level. It emphasizes careful reasoning and understanding of proofs. The course assumes knowledge of elementary calculus. Topics: Axioms for the real numbers; the Riemann integral; limits, theorems on continuous functions; derivatives of functions of one variable; the fundamental theorems of calculus; Taylor's theorem; infinite series, power series, rigorous treatment of the elementary functions. Dr. Lachowska wishes to acknowledge Andrew Brooke-Taylor, Natasha Bershadsky, and Alex Retakh for their help with this course web site. 18.014, Calculus with Theory, covers the same material as 18.01 (Calculus), but at a deeper and more rigorous level. It emphasizes careful reasoning and understanding of proofs. The course assumes knowledge of elementary calculus. Topics: Axioms for the real numbers; the Riemann integral; limits, theorems on continuous functions; derivatives of functions of one variable; the fundamental theorems of calculus; Taylor's theorem; infinite series, power series, rigorous treatment of the elementary functions. Dr. Lachowska wishes to acknowledge Andrew Brooke-Taylor, Natasha Bershadsky, and Alex Retakh for their help with this course web site.

Subjects

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

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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21G.044 Classics of Chinese Literature (MIT) 21G.044 Classics of Chinese Literature (MIT)

Description

This course is an introduction to three of the major genres of traditional Chinese literature—poetry, fiction and drama, with a focus on vernacular fiction. We will read translations of a number of the "masterworks" of Chinese literature. We will also examine the intertextuality between these genres — how poetry blends into narrative, how fiction becomes drama, and drama inspires fiction. Through reading these selected works of traditional Chinese literature, we will examine some of the major features of traditional Chinese society: religious and philosophical beliefs, the imperial system and dynastic change, gender relations, notions of class and ethnicity, family, romance and sexuality. All works are read in translation; no language background is necessary. This course is an introduction to three of the major genres of traditional Chinese literature—poetry, fiction and drama, with a focus on vernacular fiction. We will read translations of a number of the "masterworks" of Chinese literature. We will also examine the intertextuality between these genres — how poetry blends into narrative, how fiction becomes drama, and drama inspires fiction. Through reading these selected works of traditional Chinese literature, we will examine some of the major features of traditional Chinese society: religious and philosophical beliefs, the imperial system and dynastic change, gender relations, notions of class and ethnicity, family, romance and sexuality. All works are read in translation; no language background is necessary.

Subjects

chinese poetry | chinese poetry | chinese culture | chinese culture | chinese | chinese | novel | novel | the story of the western wing | the story of the western wing | three kingdoms | three kingdoms | outlaws of the marsh | outlaws of the marsh | the journey to the west | the journey to the west | the story of the stone | the story of the stone | monkey | monkey | film adaptation | film adaptation

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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