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8.324 Quantum Field Theory II (MIT) 8.324 Quantum Field Theory II (MIT)

Description

8.324 is the second term of the quantum field theory trimester sequence. Develops in depth some of the topics discussed in 8.323 and introduces some advanced material. Topics: Functional path integrals. Renormalization and renormalization group. Quantization of nonabelian gauge theories. BRST symmetry. Renormalization and symmetry breaking. Critical exponents and scalar field theory. Perturbation theory anomalies. 8.324 is the second term of the quantum field theory trimester sequence. Develops in depth some of the topics discussed in 8.323 and introduces some advanced material. Topics: Functional path integrals. Renormalization and renormalization group. Quantization of nonabelian gauge theories. BRST symmetry. Renormalization and symmetry breaking. Critical exponents and scalar field theory. Perturbation theory anomalies.

Subjects

Quantum Field Theory | Quantum Field Theory | nonabelian gauge theories | nonabelian gauge theories | BRST symmetry | BRST symmetry | Nonabelian Gauge Theories | Nonabelian Gauge Theories | Perturbation Theory Anomalies | Perturbation Theory Anomalies | Renormalization | Renormalization | Symmetry Breaking | Symmetry Breaking | Critical Exponents | Critical Exponents | Scalar Field Theory | Scalar Field Theory | Conformal Field Theory | Conformal Field Theory

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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14.123 Microeconomic Theory III (MIT) 14.123 Microeconomic Theory III (MIT)

Description

This course covers models of individual decision-making under certainty and uncertainty. Applications include risk sharing and financial markets; contracts and information economics; village economies and national development; models with money and credit; trade, spatial economics and differentiated commodities. This course covers models of individual decision-making under certainty and uncertainty. Applications include risk sharing and financial markets; contracts and information economics; village economies and national development; models with money and credit; trade, spatial economics and differentiated commodities.

Subjects

microeconomic theory | microeconomic theory | rationalizability | rationalizability | game theory | game theory | behavioral economics | behavioral economics | choice | choice | preference | preference | risk | risk | risk-aversion | risk-aversion | Expected Utility Theory | Expected Utility Theory | Prospect Theory | Prospect Theory | decision making | decision making | decision theory | decision theory

License

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18.704 Seminar in Algebra and Number Theory: Computational Commutative Algebra and Algebraic Geometry (MIT) 18.704 Seminar in Algebra and Number Theory: Computational Commutative Algebra and Algebraic Geometry (MIT)

Description

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

Subjects

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

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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8.513 Many-Body Theory for Condensed Matter Systems (MIT) 8.513 Many-Body Theory for Condensed Matter Systems (MIT)

Description

This course covers the concepts and physical pictures behind various phenomena that appear in interacting many-body systems. Visualization occurs through concentration on path integral, mean-field theories and semi-classical picture of fluctuations around mean-field state. This course covers the concepts and physical pictures behind various phenomena that appear in interacting many-body systems. Visualization occurs through concentration on path integral, mean-field theories and semi-classical picture of fluctuations around mean-field state.

Subjects

second quantization | second quantization | path-integrals | path-integrals | condensed matter | condensed matter | Goldstone modes | Goldstone modes | rigidity | rigidity | topological defects | topological defects | Mean field theory | Mean field theory | Landau Fermi Liquid Theory | Landau Fermi Liquid Theory | BCS superconductivity | BCS superconductivity | Quantum Phase Transitions | Quantum Phase Transitions | Renormalization group | Renormalization group | Duality transformations | Duality transformations | Luttinger Liquid Theory | Luttinger Liquid Theory | bosonization | bosonization | broken symmetry | broken symmetry | fractionalization | fractionalization | Fractional quantum Hall effect | Fractional quantum Hall effect | spin liquids | spin liquids | gauge theories in condensed matter | gauge theories in condensed matter

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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DF5834 Promoting Language, Literacy and Numeracy in Early Education and Child Care

Description

This is the Tutor’s Support Pack for this unit.

Subjects

DF58 34 | Nativist Theory | Behaviourist Theory (Learning Theory) | Social Interactionist Theory | Jean Piaget | Jerome Bruner | Lev Vygotsky | Bilingualism | G: Education/Training/Teaching | EDUCATION / TRAINING / TEACHING | SCQF Level 7

License

Copyright in these materials is owned by the Colleges Open Learning Exchange Group (COLEG). None of these materials may be Used without the express, prior, written consent of COLEG, except if and to the extent that such Use is permitted under COLEG's conditions of Contribution and Use of Learning Materials through COLEG’s Repository ( http://coleg.intralibrary.com/open_virtual_file_path/i16029n97237t/COLEGTC_L1.pdf ), for the purposes of which these materials are COLEG Materials. Copyright in these materials is owned by the Colleges Open Learning Exchange Group (COLEG). None of these materials may be Used without the express, prior, written consent of COLEG, except if and to the extent that such Use is permitted under COLEG's conditions of Contribution and Use of Learning Materials through COLEG’s Repository ( http://coleg.intralibrary.com/open_virtual_file_path/i16029n97237t/COLEGTC_L1.pdf ), for the purposes of which these materials are COLEG Materials. Licensed to colleges in Scotland only Licensed to colleges in Scotland only http://content.resourceshare.ac.uk/xmlui/bitstream/handle/10949/17759/LicenceCOLEG.pdf?sequence=1 http://content.resourceshare.ac.uk/xmlui/bitstream/handle/10949/17759/LicenceCOLEG.pdf?sequence=1 COLEG COLEG

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8.514 Strongly Correlated Systems in Condensed Matter Physics (MIT) 8.514 Strongly Correlated Systems in Condensed Matter Physics (MIT)

Description

In this course we shall develop theoretical methods suitable for the description of the many-body phenomena, such as Hamiltonian second-quantized operator formalism, Greens functions, path integral, functional integral, and the quantum kinetic equation. The concepts to be introduced include, but are not limited to, the random phase approximation, the mean field theory (aka saddle-point, or semiclassical approximation), the tunneling dynamics in imaginary time, instantons, Berry phase, coherent state path integral, renormalization group. In this course we shall develop theoretical methods suitable for the description of the many-body phenomena, such as Hamiltonian second-quantized operator formalism, Greens functions, path integral, functional integral, and the quantum kinetic equation. The concepts to be introduced include, but are not limited to, the random phase approximation, the mean field theory (aka saddle-point, or semiclassical approximation), the tunneling dynamics in imaginary time, instantons, Berry phase, coherent state path integral, renormalization group.

Subjects

condensed matter systems | condensed matter systems | low-dimension magnetic and electronic systems | low-dimension magnetic and electronic systems | disorder and quantum transport | disorder and quantum transport | magnetic impurities | magnetic impurities | the Kondo problem | the Kondo problem | quantum spin systems | quantum spin systems | the Hubbard model | the Hubbard model | high temperature superconductors | high temperature superconductors | Bose Condensates | Bose Condensates | Quasiparticles | Quasiparticles | Collective Modes | Collective Modes | Superfluidity | Superfluidity | Vortices | Vortices | Fermi Gases | Fermi Gases | Fermi Liquids | Fermi Liquids | Collective Excitations | Collective Excitations | Cooper Pairing | Cooper Pairing | BCS Theory | BCS Theory | Off-diagonal Long-range Order | Off-diagonal Long-range Order | Superconductivity | Superconductivity | Atom Interacting | Atom Interacting | Optical Fields | Optical Fields | Lamb Shift | Lamb Shift | Casimir Effect | Casimir Effect | Dicke Superradiance | Dicke Superradiance | Quantum Transport | Quantum Transport | Wave Scattering | Wave Scattering | Disordered Media | Disordered Media | Localization | Localization | Tunneling | Tunneling | Instantons | Instantons | Macroscopic Quantum Systems | Macroscopic Quantum Systems | Coupling | Coupling | Thermal Bath | Thermal Bath | Spin-boson Model | Spin-boson Model | Kondo Effect | Kondo Effect | Spin Dynamics | Spin Dynamics | Gases Transport | Gases Transport | Solids Transport | Solids Transport | Cold Atoms | Cold Atoms | Optical Lattices | Optical Lattices | Quantum Theory | Quantum Theory | Photodetection | Photodetection | Electric Noise | Electric Noise

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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8.514 Strongly Correlated Systems in Condensed Matter Physics (MIT) 8.514 Strongly Correlated Systems in Condensed Matter Physics (MIT)

Description

In this course we shall develop theoretical methods suitable for the description of the many-body phenomena, such as Hamiltonian second-quantized operator formalism, Greens functions, path integral, functional integral, and the quantum kinetic equation. The concepts to be introduced include, but are not limited to, the random phase approximation, the mean field theory (aka saddle-point, or semiclassical approximation), the tunneling dynamics in imaginary time, instantons, Berry phase, coherent state path integral, renormalization group. In this course we shall develop theoretical methods suitable for the description of the many-body phenomena, such as Hamiltonian second-quantized operator formalism, Greens functions, path integral, functional integral, and the quantum kinetic equation. The concepts to be introduced include, but are not limited to, the random phase approximation, the mean field theory (aka saddle-point, or semiclassical approximation), the tunneling dynamics in imaginary time, instantons, Berry phase, coherent state path integral, renormalization group.

Subjects

condensed matter systems | condensed matter systems | low-dimension magnetic and electronic systems | low-dimension magnetic and electronic systems | disorder and quantum transport | disorder and quantum transport | magnetic impurities | magnetic impurities | the Kondo problem | the Kondo problem | quantum spin systems | quantum spin systems | the Hubbard model | the Hubbard model | high temperature superconductors | high temperature superconductors | Bose Condensates | Bose Condensates | Quasiparticles | Quasiparticles | Collective Modes | Collective Modes | Superfluidity | Superfluidity | Vortices | Vortices | Fermi Gases | Fermi Gases | Fermi Liquids | Fermi Liquids | Collective Excitations | Collective Excitations | Cooper Pairing | Cooper Pairing | BCS Theory | BCS Theory | Off-diagonal Long-range Order | Off-diagonal Long-range Order | Superconductivity | Superconductivity | Atom Interacting | Atom Interacting | Optical Fields | Optical Fields | Lamb Shift | Lamb Shift | Casimir Effect | Casimir Effect | Dicke Superradiance | Dicke Superradiance | Quantum Transport | Quantum Transport | Wave Scattering | Wave Scattering | Disordered Media | Disordered Media | Localization | Localization | Tunneling | Tunneling | Instantons | Instantons | Macroscopic Quantum Systems | Macroscopic Quantum Systems | Coupling | Coupling | Thermal Bath | Thermal Bath | Spin-boson Model | Spin-boson Model | Kondo Effect | Kondo Effect | Spin Dynamics | Spin Dynamics | Gases Transport | Gases Transport | Solids Transport | Solids Transport | Cold Atoms | Cold Atoms | Optical Lattices | Optical Lattices | Quantum Theory | Quantum Theory | Photodetection | Photodetection | Electric Noise | Electric Noise

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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9.520-A Networks for Learning: Regression and Classification (MIT) 9.520-A Networks for Learning: Regression and Classification (MIT)

Description

The course focuses on the problem of supervised learning within the framework of Statistical Learning Theory. It starts with a review of classical statistical techniques, including Regularization Theory in RKHS for multivariate function approximation from sparse data. Next, VC theory is discussed in detail and used to justify classification and regression techniques such as Regularization Networks and Support Vector Machines. Selected topics such as boosting, feature selection and multiclass classification will complete the theory part of the course. During the course we will examine applications of several learning techniques in areas such as computer vision, computer graphics, database search and time-series analysis and prediction. We will briefly discuss implications of learning theori The course focuses on the problem of supervised learning within the framework of Statistical Learning Theory. It starts with a review of classical statistical techniques, including Regularization Theory in RKHS for multivariate function approximation from sparse data. Next, VC theory is discussed in detail and used to justify classification and regression techniques such as Regularization Networks and Support Vector Machines. Selected topics such as boosting, feature selection and multiclass classification will complete the theory part of the course. During the course we will examine applications of several learning techniques in areas such as computer vision, computer graphics, database search and time-series analysis and prediction. We will briefly discuss implications of learning theori

Subjects

Learning | Learning | Perspective | Perspective | Regularized | Regularized | Kernel Hilbert Spaces | Kernel Hilbert Spaces | Approximation | Approximation | Nonparametric | Nonparametric | Ridge Approximation | Ridge Approximation | Networks | Networks | Finance | Finance | Statistical Learning Theory | Statistical Learning Theory | Consistency | Consistency | Empirical Risk | Empirical Risk | Minimization Principle | Minimization Principle | VC-Dimension | VC-Dimension | VC-bounds | VC-bounds | Regression | Regression | Structural Risk Minimization | Structural Risk Minimization | Support Vector Machines | Support Vector Machines | Kernel Engineering | Kernel Engineering | Computer Vision | Computer Vision | Computer Graphics | Computer Graphics | Neuroscience | Neuroscience | Approximation Error | Approximation Error | Approximation Theory | Approximation Theory | Bioinformatics | Bioinformatics | Bagging | Bagging | Boosting | Boosting | Wavelets | Wavelets | Frames | Frames

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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8.324 Quantum Field Theory II (MIT)

Description

8.324 is the second term of the quantum field theory trimester sequence. Develops in depth some of the topics discussed in 8.323 and introduces some advanced material. Topics: Functional path integrals. Renormalization and renormalization group. Quantization of nonabelian gauge theories. BRST symmetry. Renormalization and symmetry breaking. Critical exponents and scalar field theory. Perturbation theory anomalies.

Subjects

Quantum Field Theory | nonabelian gauge theories | BRST symmetry | Nonabelian Gauge Theories | Perturbation Theory Anomalies | Renormalization | Symmetry Breaking | Critical Exponents | Scalar Field Theory | Conformal Field 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 https://ocw.mit.edu/terms/index.htm

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15.343 Managing Transformations in Work, Organizations, and Society (MIT) 15.343 Managing Transformations in Work, Organizations, and Society (MIT)

Description

The course focuses on skills managers need to adapt to current sweeping changes in the nature of work and the workforce, in business organizations and their roles in society, and in the institutions that interact with work, particularly the labor market, community and family-centered groups. This year's teaching will be the basis for a workshop session at the Sloan School's 50th Anniversary Convocation. The course will involve a mix of on-campus and off-campus students taking the course via distance learning, and professionals from a variety of organizations who will participate in specific modules of interest to them. One session will be linked to colleagues at Cambridge University in England where a parallel course is being offered. Managerial issues addressed are associated with manag The course focuses on skills managers need to adapt to current sweeping changes in the nature of work and the workforce, in business organizations and their roles in society, and in the institutions that interact with work, particularly the labor market, community and family-centered groups. This year's teaching will be the basis for a workshop session at the Sloan School's 50th Anniversary Convocation. The course will involve a mix of on-campus and off-campus students taking the course via distance learning, and professionals from a variety of organizations who will participate in specific modules of interest to them. One session will be linked to colleagues at Cambridge University in England where a parallel course is being offered. Managerial issues addressed are associated with manag

Subjects

Theory X and Theory Y | Theory X and Theory Y | employee motivation | employee motivation | changing nature of work | changing nature of work | business and society | business and society | global standards | global standards | corporate responsibility | corporate responsibility | business and the environment | business and the environment | sustainable business | sustainable business | labor-management partnership | labor-management partnership | knowledge based work systems | knowledge based work systems | knowledge work | knowledge work | knowledge management | knowledge management | managing cultural diversity | managing cultural diversity | global organizations | global organizations | transforming government | transforming government

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 Effective Field Theory (MIT) 8.851 Effective Field Theory (MIT)

Description

Includes audio/video content: AV lectures. Effective field theory is a fundamental framework to describe physical systems with quantum field theory. Part I of this course covers common tools used in effective theories. Part II is an in depth study of the Soft-Collinear Effective Theory (SCET), an effective theory for hard interactions in collider physics. Includes audio/video content: AV lectures. Effective field theory is a fundamental framework to describe physical systems with quantum field theory. Part I of this course covers common tools used in effective theories. Part II is an in depth study of the Soft-Collinear Effective Theory (SCET), an effective theory for hard interactions in collider physics.

Subjects

Quarks | Quarks | Relativistic Quantum Field Theory | Relativistic Quantum Field Theory | Quantum Chromodynamics (QCD) | Quantum Chromodynamics (QCD) | The QCD Langrangian | The QCD Langrangian | Asymptotic Freedom | Asymptotic Freedom | Deep Inelastic Scattering | Deep Inelastic Scattering | Jets | The QCD Vacuum | Jets | The QCD Vacuum | Instantons | Instantons | the U(1) Problem | the U(1) Problem | Lattice Guage Theory | Lattice Guage Theory

License

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Introduction to microeconomics Introduction to microeconomics

Description

This is a module framework. It can be viewed online or downloaded as a zip file. As taught Semester 1 2009/2010. There are no pre-requisites to taking this module and in particular there is no assumption of any prior knowledge of economics. For those who have taken A-level economics or any other version of economics some of the module content will appear familiar to you. However, the methods of analysis and the approach to teaching will quite probably be very different to anything experienced before and thus it is very important that good lecture notes are made, essays are thoughtfully written and background reading is undertaken. If not, then a degree level of understanding of the material will not be achieved. This module is suitable for study at undergraduate level 1 Dr Wyn Morga This is a module framework. It can be viewed online or downloaded as a zip file. As taught Semester 1 2009/2010. There are no pre-requisites to taking this module and in particular there is no assumption of any prior knowledge of economics. For those who have taken A-level economics or any other version of economics some of the module content will appear familiar to you. However, the methods of analysis and the approach to teaching will quite probably be very different to anything experienced before and thus it is very important that good lecture notes are made, essays are thoughtfully written and background reading is undertaken. If not, then a degree level of understanding of the material will not be achieved. This module is suitable for study at undergraduate level 1 Dr Wyn Morga

Subjects

UNow | UNow | UKOER | UKOER | Microeconomics | Microeconomics | Microeconomic Theory | Microeconomic Theory | Consumer Theory | Consumer Theory | Consumer Welfare and the Household as Supplier | Consumer Welfare and the Household as Supplier | The Firm's Supply | The Firm's Supply | Perfectly Competitive Markets | Perfectly Competitive Markets | Imperfectly Competitive Markets | Imperfectly Competitive Markets | Market Failure | Market Failure | Economics | Economics

License

Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA) Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)

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17.960 Foundations of Political Science (MIT) 17.960 Foundations of Political Science (MIT)

Description

This subject, required of all first-year PhD students in political science, introduces fundamental ideas, theories, and methods in contemporary political science through the study of a small number of major books and articles that are intrinsically good and have been influential in the field. The first semester focuses principally on issues of political theory and international relations, while the second focuses principally on American and comparative politics. Readings in the fall semester from Rawls, A Theory of Justice; Hayek, The Constitution of Liberty; Arrow Social Choice and Individual Values; Olson, The Logic of Collective Action; Waltz, Theory of International Relations; Bull, The Anarchical Society; Foucault, Discipline and Punish; Elster, Cement of Society; Keohane, After This subject, required of all first-year PhD students in political science, introduces fundamental ideas, theories, and methods in contemporary political science through the study of a small number of major books and articles that are intrinsically good and have been influential in the field. The first semester focuses principally on issues of political theory and international relations, while the second focuses principally on American and comparative politics. Readings in the fall semester from Rawls, A Theory of Justice; Hayek, The Constitution of Liberty; Arrow Social Choice and Individual Values; Olson, The Logic of Collective Action; Waltz, Theory of International Relations; Bull, The Anarchical Society; Foucault, Discipline and Punish; Elster, Cement of Society; Keohane, After

Subjects

Political science | Political science | fundamental ideas | fundamental ideas | theories | theories | methods | methods | contemporary | contemporary | major books | major books | articles | articles | political theory | political theory | international relations | international relations | American | American | comparative politics | comparative politics | Rawls | Rawls | A Theory of Justice | A Theory of Justice | Hayek | Hayek | The Constitution of Liberty | The Constitution of Liberty | Arrow | Arrow | Social Choice and Individual Values | Social Choice and Individual Values | Olson | Olson | The Logic of Collective Action | The Logic of Collective Action | Waltz | Waltz | Theory of International Relations | Theory of International Relations | Bull | Bull | The Anarchical Society | The Anarchical Society | Foucault | Foucault | Discipline and Punish | Discipline and Punish | Elster | Elster | Cement of Society | Cement of Society | Keohane | Keohane | After Hegemony | After Hegemony | Allison | Allison | Zelikow | Zelikow | The Essence of Decision | The Essence of Decision | Doyle | Doyle | Kant | Kant | Liberal Legacies | Liberal Legacies | Foreign Affairs | Foreign Affairs

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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DF5234 Theoretical Approaches to Development and Learning

Description

This pack contains PDF and MS Word versions of the Tutor's Support Pack for this unit. From the unit: This Unit is designed to enable you to research and gain theoretical understanding of the development and learning of children highlighting the role of play. This theoretical knowledge will be linked to practice. The Unit is intended for candidates who are on work placement or employed in the childcare sector and/or who are undertaking the HNC Early Education and Childcare. It has two main subject areas, each of which is the subject of a separate Outcome. You will look at: 1. theories of children’s development and theories of play, and 2. how knowledge of these theories influences practice in early education and childcare settings. Overall, you will be expected to use the knowledge and

Subjects

DF52 34 | Emotional/Social Development | Attachment Theory | Theory of Personality | Theories of Moral Development | Cognitive Development | Theory of Mind | Theories of Language Development | Investigate Theories of Play | G: Education/Training/Teaching | EDUCATION / TRAINING / TEACHING | SCQF Level 7

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Copyright in these materials is owned by the Colleges Open Learning Exchange Group (COLEG). None of these materials may be Used without the express, prior, written consent of COLEG, except if and to the extent that such Use is permitted under COLEG's conditions of Contribution and Use of Learning Materials through COLEG’s Repository ( http://coleg.intralibrary.com/open_virtual_file_path/i16029n97237t/COLEGTC_L1.pdf ), for the purposes of which these materials are COLEG Materials. Copyright in these materials is owned by the Colleges Open Learning Exchange Group (COLEG). None of these materials may be Used without the express, prior, written consent of COLEG, except if and to the extent that such Use is permitted under COLEG's conditions of Contribution and Use of Learning Materials through COLEG’s Repository ( http://coleg.intralibrary.com/open_virtual_file_path/i16029n97237t/COLEGTC_L1.pdf ), for the purposes of which these materials are COLEG Materials. Licensed to colleges in Scotland only Licensed to colleges in Scotland only http://content.resourceshare.ac.uk/xmlui/bitstream/handle/10949/17759/LicenceCOLEG.pdf?sequence=1 http://content.resourceshare.ac.uk/xmlui/bitstream/handle/10949/17759/LicenceCOLEG.pdf?sequence=1 COLEG COLEG

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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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18.702 Algebra II (MIT) 18.702 Algebra II (MIT)

Description

The course covers group theory and its representations, and focuses on the Sylow theorem, Schur's lemma, and proof of the orthogonality relations. It also analyzes the rings, the factorization processes, and the fields. Topics such as the formal construction of integers and polynomials, homomorphisms and ideals, the Gauss' lemma, quadratic imaginary integers, Gauss primes, and finite and function fields are discussed in detail. The course covers group theory and its representations, and focuses on the Sylow theorem, Schur's lemma, and proof of the orthogonality relations. It also analyzes the rings, the factorization processes, and the fields. Topics such as the formal construction of integers and polynomials, homomorphisms and ideals, the Gauss' lemma, quadratic imaginary integers, Gauss primes, and finite and function fields are discussed in detail.

Subjects

Sylow theorems | Sylow theorems | Group Representations | Group Representations | definitions | definitions | unitary representations | unitary representations | characters | characters | Schur's Lemma | Schur's Lemma | Rings: Basic Definitions | Rings: Basic Definitions | homomorphisms | homomorphisms | fractions | fractions | Factorization | Factorization | unique factorization | unique factorization | Gauss' Lemma | Gauss' Lemma | explicit factorization | explicit factorization | maximal ideals | maximal ideals | Quadratic Imaginary Integers | Quadratic Imaginary Integers | Gauss Primes | Gauss Primes | quadratic integers | quadratic integers | ideal factorization | ideal factorization | ideal classes | ideal classes | Linear Algebra over a Ring | Linear Algebra over a Ring | free modules | free modules | integer matrices | integer matrices | generators and relations | generators and relations | structure of abelian groups | structure of abelian groups | Rings: Abstract Constructions | Rings: Abstract Constructions | relations in a ring | relations in a ring | adjoining elements | adjoining elements | Fields: Field Extensions | Fields: Field Extensions | algebraic elements | algebraic elements | degree of field extension | degree of field extension | ruler and compass | ruler and compass | symbolic adjunction | symbolic adjunction | finite fields | finite fields | Fields: Galois Theory | Fields: Galois Theory | the main theorem | the main theorem | cubic equations | cubic equations | symmetric functions | symmetric functions | primitive elements | primitive elements | quartic equations | quartic equations | quintic equations | quintic equations

License

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8.514 Strongly Correlated Systems in Condensed Matter Physics (MIT)

Description

In this course we shall develop theoretical methods suitable for the description of the many-body phenomena, such as Hamiltonian second-quantized operator formalism, Greens functions, path integral, functional integral, and the quantum kinetic equation. The concepts to be introduced include, but are not limited to, the random phase approximation, the mean field theory (aka saddle-point, or semiclassical approximation), the tunneling dynamics in imaginary time, instantons, Berry phase, coherent state path integral, renormalization group.

Subjects

condensed matter systems | low-dimension magnetic and electronic systems | disorder and quantum transport | magnetic impurities | the Kondo problem | quantum spin systems | the Hubbard model | high temperature superconductors | Bose Condensates | Quasiparticles | Collective Modes | Superfluidity | Vortices | Fermi Gases | Fermi Liquids | Collective Excitations | Cooper Pairing | BCS Theory | Off-diagonal Long-range Order | Superconductivity | Atom Interacting | Optical Fields | Lamb Shift | Casimir Effect | Dicke Superradiance | Quantum Transport | Wave Scattering | Disordered Media | Localization | Tunneling | Instantons | Macroscopic Quantum Systems | Coupling | Thermal Bath | Spin-boson Model | Kondo Effect | Spin Dynamics | Gases Transport | Solids Transport | Cold Atoms | Optical Lattices | Quantum Theory | Photodetection | Electric Noise

License

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14.126 Game Theory (MIT) 14.126 Game Theory (MIT)

Description

Optimal decisions of economic agents depend on expectations of other agents' actions. Subject examines various models of equilibrium, which correspond to different ways that agents might make their decisions, and various kinds of games: static games, dynamic games, and games of incomplete information. Optimal decisions of economic agents depend on expectations of other agents' actions. Subject examines various models of equilibrium, which correspond to different ways that agents might make their decisions, and various kinds of games: static games, dynamic games, and games of incomplete information.

Subjects

game theory | game theory | Nash Bargaining | Nash Bargaining | Price Theory | Price Theory | Sequential Bargaining | Sequential Bargaining

License

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24.400 Proseminar in Philosophy I (MIT) 24.400 Proseminar in Philosophy I (MIT)

Description

This course is an intensive seminar on the foundations of analytic philosophy for first-year graduate students. A large selection of classic texts, such as Frege's Foundations of Arithmetic, Russell's Problems of Philosophy, and Wittgenstein's Philosophical Investigations, is covered in this course. This course is an intensive seminar on the foundations of analytic philosophy for first-year graduate students. A large selection of classic texts, such as Frege's Foundations of Arithmetic, Russell's Problems of Philosophy, and Wittgenstein's Philosophical Investigations, is covered in this course.

Subjects

philosophy | philosophy | Frege | Frege | Meinong | Meinong | Russell | Russell | On Denoting | On Denoting | Theory of Objects | Theory of Objects | Brentano | Brentano | Husserl | Husserl | Wittgenstein | Wittgenstein | Tractatus | Tractatus | Moore | Moore | Principia Ethica | Principia Ethica | intrinsic value | intrinsic value | common sense | common sense | Ayer | Ayer | language | language | truth | truth | logic | logic | Ryle | Ryle | concept of mind | concept of mind | Austin | Austin | Sense and Sensibilia | Sense and Sensibilia | Foundations of Empirical Knowledge | Foundations of Empirical Knowledge | analytic philosophy | analytic philosophy

License

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18.702 Algebra II (MIT) 18.702 Algebra II (MIT)

Description

This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory. This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory.

Subjects

Sylow theorems | Sylow theorems | Group Representations | Group Representations | definitions | definitions | unitary representations | unitary representations | characters | characters | Schur's Lemma | Schur's Lemma | Rings: Basic Definitions | Rings: Basic Definitions | homomorphisms | homomorphisms | fractions | fractions | Factorization | Factorization | unique factorization | unique factorization | Gauss' Lemma | Gauss' Lemma | explicit factorization | explicit factorization | maximal ideals | maximal ideals | Quadratic Imaginary Integers | Quadratic Imaginary Integers | Gauss Primes | Gauss Primes | quadratic integers | quadratic integers | ideal factorization | ideal factorization | ideal classes | ideal classes | Linear Algebra over a Ring | Linear Algebra over a Ring | free modules | free modules | integer matrices | integer matrices | generators and relations | generators and relations | structure of abelian groups | structure of abelian groups | Rings: Abstract Constructions | Rings: Abstract Constructions | relations in a ring | relations in a ring | adjoining elements | adjoining elements | Fields: Field Extensions | Fields: Field Extensions | algebraic elements | algebraic elements | degree of field extension | degree of field extension | ruler and compass | ruler and compass | symbolic adjunction | symbolic adjunction | finite fields | finite fields | Fields: Galois Theory | Fields: Galois Theory | the main theorem | the main theorem | cubic equations | cubic equations | symmetric functions | symmetric functions | primitive elements | primitive elements | quartic equations | quartic equations | quintic equations | quintic equations

License

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18.701 Algebra I (MIT) 18.701 Algebra I (MIT)

Description

This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups. This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.

Subjects

Group Theory | Group Theory | Linear Algebra | and Geometry | Linear Algebra | and Geometry | groups | groups | vector spaces | vector spaces | linear transformations | linear transformations | symmetry groups | symmetry groups | bilinear | bilinear | bilinear forms | and linear groups | bilinear forms | and linear groups

License

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17.960 Foundations of Political Science (MIT)

Description

This subject, required of all first-year PhD students in political science, introduces fundamental ideas, theories, and methods in contemporary political science through the study of a small number of major books and articles that are intrinsically good and have been influential in the field. The first semester focuses principally on issues of political theory and international relations, while the second focuses principally on American and comparative politics. Readings in the fall semester from Rawls, A Theory of Justice; Hayek, The Constitution of Liberty; Arrow Social Choice and Individual Values; Olson, The Logic of Collective Action; Waltz, Theory of International Relations; Bull, The Anarchical Society; Foucault, Discipline and Punish; Elster, Cement of Society; Keohane, After

Subjects

Political science | fundamental ideas | theories | methods | contemporary | major books | articles | political theory | international relations | American | comparative politics | Rawls | A Theory of Justice | Hayek | The Constitution of Liberty | Arrow | Social Choice and Individual Values | Olson | The Logic of Collective Action | Waltz | Theory of International Relations | Bull | The Anarchical Society | Foucault | Discipline and Punish | Elster | Cement of Society | Keohane | After Hegemony | Allison | Zelikow | The Essence of Decision | Doyle | Kant | Liberal Legacies | Foreign Affairs

License

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8.324 Relativistic Quantum Field Theory II (MIT) 8.324 Relativistic Quantum Field Theory II (MIT)

Description

This course is the second course of the quantum field theory trimester sequence beginning with Relativistic Quantum Field Theory I (8.323) and ending with Relativistic Quantum Field Theory III (8.325). It develops in depth some of the topics discussed in 8.323 and introduces some advanced material. Topics include functional path integrals, renormalization and renormalization groups, quantization of nonabelian gauge theories, BRST symmetry, renormalization and symmetry breaking, critical exponents and scalar field theory, and perturbation theory anomalies. This course is the second course of the quantum field theory trimester sequence beginning with Relativistic Quantum Field Theory I (8.323) and ending with Relativistic Quantum Field Theory III (8.325). It develops in depth some of the topics discussed in 8.323 and introduces some advanced material. Topics include functional path integrals, renormalization and renormalization groups, quantization of nonabelian gauge theories, BRST symmetry, renormalization and symmetry breaking, critical exponents and scalar field theory, and perturbation theory anomalies.

Subjects

Quantum Field Theory | Quantum Field Theory | nonabelian gauge theories | nonabelian gauge theories | BRST symmetry | BRST symmetry | Perturbation theory anomalies | Perturbation theory anomalies | Renormalization | Renormalization | symmetry breaking | symmetry breaking | Critical exponents | Critical exponents | scalar field theory | scalar field theory | Conformal field theory | Conformal field theory

License

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18.702 Algebra II (MIT) 18.702 Algebra II (MIT)

Description

This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory. This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory.

Subjects

Sylow theorems | Sylow theorems | Group Representations | Group Representations | definitions | definitions | unitary representations | unitary representations | characters | characters | Schur's Lemma | Schur's Lemma | Rings: Basic Definitions | Rings: Basic Definitions | homomorphisms | homomorphisms | fractions | fractions | Factorization | Factorization | unique factorization | unique factorization | Gauss' Lemma | Gauss' Lemma | explicit factorization | explicit factorization | maximal ideals | maximal ideals | Quadratic Imaginary Integers | Quadratic Imaginary Integers | Gauss Primes | Gauss Primes | quadratic integers | quadratic integers | ideal factorization | ideal factorization | ideal classes | ideal classes | Linear Algebra over a Ring | Linear Algebra over a Ring | free modules | free modules | integer matrices | integer matrices | generators and relations | generators and relations | structure of abelian groups | structure of abelian groups | Rings: Abstract Constructions | Rings: Abstract Constructions | relations in a ring | relations in a ring | adjoining elements | adjoining elements | Fields: Field Extensions | Fields: Field Extensions | algebraic elements | algebraic elements | degree of field extension | degree of field extension | ruler and compass | ruler and compass | symbolic adjunction | symbolic adjunction | finite fields | finite fields | Fields: Galois Theory | Fields: Galois Theory | the main theorem | the main theorem | cubic equations | cubic equations | symmetric functions | symmetric functions | primitive elements | primitive elements | quartic equations | quartic equations | quintic equations | quintic equations

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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