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18.06CI Linear Algebra - Communications Intensive (MIT) 18.06CI Linear Algebra - Communications Intensive (MIT)

Description

This is a communication intensive supplement to Linear Algebra (18.06). The main emphasis is on the methods of creating rigorous and elegant proofs and presenting them clearly in writing. The course starts with the standard linear algebra syllabus and eventually develops the techniques to approach a more advanced topic: abstract root systems in a Euclidean space. This is a communication intensive supplement to Linear Algebra (18.06). The main emphasis is on the methods of creating rigorous and elegant proofs and presenting them clearly in writing. The course starts with the standard linear algebra syllabus and eventually develops the techniques to approach a more advanced topic: abstract root systems in a Euclidean space.

Subjects

Linear Alegebra | Linear Alegebra | Latex | Latex | LaTeX2e | LaTeX2e | mathematical writing | mathematical writing | linear spaces | linear spaces | basis | basis | dimension | dimension | linear mappings | linear mappings | matrices | matrices | subspaces | subspaces | direct sums | direct sums | reflections | reflections | Euclidean space | Euclidean space | abstract root systems | abstract root systems | simple roots | simple roots | positive roots | positive roots | Cartan matrix | Cartan matrix | Dynkin diagrams | Dynkin diagrams | classification | classification | 18.06 | 18.06

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Gender Studies Seminar: Latina Women's Voices (MIT) Gender Studies Seminar: Latina Women's Voices (MIT)

Description

This course will explore the rich diversity of women's voices and experiences as reflected in writings and films by and about Latina writers, filmmakers, and artists. Through close readings, class discussions and independently researched student presentations related to each text, we will explore not only the unique, individual voice of the writer, but also the cultural, social and political contexts which inform their narratives. We will also examine the roles that gender, familial ties and social and political preoccupations play in shaping the values of the writers and the nature of the characters encountered in the texts and films. This course will explore the rich diversity of women's voices and experiences as reflected in writings and films by and about Latina writers, filmmakers, and artists. Through close readings, class discussions and independently researched student presentations related to each text, we will explore not only the unique, individual voice of the writer, but also the cultural, social and political contexts which inform their narratives. We will also examine the roles that gender, familial ties and social and political preoccupations play in shaping the values of the writers and the nature of the characters encountered in the texts and films.

Subjects

Latina | Latina | women | women | code-switching | code-switching | first generation | first generation | coming-of-age | coming-of-age | Chicana | Chicana | roots | roots | revolution | revolution | politics | politics | poverty | | poverty | | social criticism | social criticism | kinship | kinship | biography | biography | magic realism | magic realism | mythical historicism | mythical historicism

License

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18.781 Theory of Numbers (MIT) 18.781 Theory of Numbers (MIT)

Description

This course is an elementary introduction to number theory with no algebraic prerequisites. Topics covered include primes, congruences, quadratic reciprocity, diophantine equations, irrational numbers, continued fractions, and partitions.    This course is an elementary introduction to number theory with no algebraic prerequisites. Topics covered include primes, congruences, quadratic reciprocity, diophantine equations, irrational numbers, continued fractions, and partitions.   

Subjects

primes | primes | divisibility | divisibility | fundamental theorem of arithmetic | fundamental theorem of arithmetic | gcd | gcd | Euclidean algorithm | Euclidean algorithm | congruences | congruences | Chinese remainder theorem | Chinese remainder theorem | Hensel's lemma | Hensel's lemma | primitive roots | primitive roots | quadratic residues | quadratic residues | reciprocity | reciprocity | arithmetic functions | arithmetic functions | Diophantine equations | Diophantine equations | continued fractions | continued fractions

License

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18.S34 Problem Solving Seminar (MIT) 18.S34 Problem Solving Seminar (MIT)

Description

This course,which is geared toward Freshmen, is an undergraduate seminar on mathematical problem solving. It is intended for students who enjoy solving challenging mathematical problems and who are interested in learning various techniques and background information useful for problem solving. Students in this course are expected to compete in a nationwide mathematics contest for undergraduates. This course,which is geared toward Freshmen, is an undergraduate seminar on mathematical problem solving. It is intended for students who enjoy solving challenging mathematical problems and who are interested in learning various techniques and background information useful for problem solving. Students in this course are expected to compete in a nationwide mathematics contest for undergraduates.

Subjects

Pigeonhole Principle | Pigeonhole Principle | probability | probability | congruences and divisibility | congruences and divisibility | recurrences | recurrences | limits | limits | greatest integer function | greatest integer function | inequalities | inequalities | Putnam practice | Putnam practice | hidden independence | hidden independence | roots of polynomials | roots of polynomials

License

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Squares, roots and powers Squares, roots and powers

Description

From paving your patio to measuring the ingredients for your latest recipe, squares, roots and powers really are part of everyday life. This free course reviews the basics of all three and also describes scientific notation, which is a convenient way of writing or displaying large numbers. First published on Mon, 25 Apr 2016 as Squares, roots and powers. To find out more visit The Open University's Openlearn website. Creative-Commons 2016 From paving your patio to measuring the ingredients for your latest recipe, squares, roots and powers really are part of everyday life. This free course reviews the basics of all three and also describes scientific notation, which is a convenient way of writing or displaying large numbers. First published on Mon, 25 Apr 2016 as Squares, roots and powers. To find out more visit The Open University's Openlearn website. Creative-Commons 2016

Subjects

Mathematics Education | Mathematics Education | roots | roots

License

Except for third party materials and otherwise stated (see http://www.open.ac.uk/conditions terms and conditions), this content is made available under a http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ Creative Commons Attribution-NonCommercial-ShareAlike 2.0 Licence Licensed under a Creative Commons Attribution - NonCommercial-ShareAlike 2.0 Licence - see http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ - Original copyright The Open University

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18.098 Street-Fighting Mathematics (MIT) 18.098 Street-Fighting Mathematics (MIT)

Description

This course teaches the art of guessing results and solving problems without doing a proof or an exact calculation. Techniques include extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, and pictorial analysis. Applications include mental calculation, solid geometry, musical intervals, logarithms, integration, infinite series, solitaire, and differential equations. (No epsilons or deltas are harmed by taking this course.) This course is offered during the Independent Activities Period (IAP), which is a special 4-week term at MIT that runs from the first week of January until the end of the month. This course teaches the art of guessing results and solving problems without doing a proof or an exact calculation. Techniques include extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, and pictorial analysis. Applications include mental calculation, solid geometry, musical intervals, logarithms, integration, infinite series, solitaire, and differential equations. (No epsilons or deltas are harmed by taking this course.) This course is offered during the Independent Activities Period (IAP), which is a special 4-week term at MIT that runs from the first week of January until the end of the month.

Subjects

extreme-cases reasoning | extreme-cases reasoning | dimensional analysis | dimensional analysis | discretization | discretization | drag | drag | fluid mechanics | fluid mechanics | pendulum | pendulum | pictorial proofs | pictorial proofs | analogy | analogy | operators | operators | summation | summation | square roots | square roots | logarithms | logarithms | musical intervals | musical intervals | taking out the big part | taking out the big part | integration | integration | differentiation | differentiation

License

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18.S34 Problem Solving Seminar (MIT) 18.S34 Problem Solving Seminar (MIT)

Description

This course, which is geared toward Freshmen, is an undergraduate seminar on mathematical problem solving. It is intended for students who enjoy solving challenging mathematical problems and who are interested in learning various techniques and background information useful for problem solving. Students in this course are expected to compete in a nationwide mathematics contest for undergraduates. This course, which is geared toward Freshmen, is an undergraduate seminar on mathematical problem solving. It is intended for students who enjoy solving challenging mathematical problems and who are interested in learning various techniques and background information useful for problem solving. Students in this course are expected to compete in a nationwide mathematics contest for undergraduates.

Subjects

Pigeonhole Principle | Pigeonhole Principle | probability | probability | congruences and divisibility | congruences and divisibility | recurrences | recurrences | limits | limits | greatest integer function | greatest integer function | inequalities | inequalities | Putnam practice | Putnam practice | hidden independence | hidden independence | roots of polynomials | roots of polynomials

License

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2.29 Numerical Fluid Mechanics (MIT) 2.29 Numerical Fluid Mechanics (MIT)

Description

This course is an introduction to numerical methods and MATLAB®: Errors, condition numbers and roots of equations. Topics covered include Navier-Stokes; direct and iterative methods for linear systems; finite differences for elliptic, parabolic and hyperbolic equations; Fourier decomposition, error analysis and stability; high-order and compact finite-differences; finite volume methods; time marching methods; Navier-Stokes solvers; grid generation; finite volumes on complex geometries; finite element methods; spectral methods; boundary element and panel methods; turbulent flows; boundary layers; and Lagrangian coherent structures (LCSs).Prof. Pierre Lermusiaux is very grateful to the teaching assistants Dr. Matt Ueckermann, Dr. Tapovan Lolla, Mr. Jing Lin, and Mr. Arpit Agarwal for the This course is an introduction to numerical methods and MATLAB®: Errors, condition numbers and roots of equations. Topics covered include Navier-Stokes; direct and iterative methods for linear systems; finite differences for elliptic, parabolic and hyperbolic equations; Fourier decomposition, error analysis and stability; high-order and compact finite-differences; finite volume methods; time marching methods; Navier-Stokes solvers; grid generation; finite volumes on complex geometries; finite element methods; spectral methods; boundary element and panel methods; turbulent flows; boundary layers; and Lagrangian coherent structures (LCSs).Prof. Pierre Lermusiaux is very grateful to the teaching assistants Dr. Matt Ueckermann, Dr. Tapovan Lolla, Mr. Jing Lin, and Mr. Arpit Agarwal for the

Subjects

errors | errors | condition numbers and roots of equations | condition numbers and roots of equations | Navier-Stokes | Navier-Stokes | direct and iterative methods for linear systems | direct and iterative methods for linear systems | finite differences for elliptic | finite differences for elliptic | parabolic and hyperbolic equations | parabolic and hyperbolic equations | Fourier decomposition | Fourier decomposition | error analysis | error analysis | and stability | and stability | high-order and compact finite-differences | high-order and compact finite-differences | finite volume methods | finite volume methods | time marching methods | time marching methods | Navier-Stokes solvers | Navier-Stokes solvers | grid generation | grid generation | finite volumes on complex geometries | finite volumes on complex geometries | finite element methods | finite element methods | spectral methods | spectral methods | boundary element and panel methods | boundary element and panel methods | turbulent flows | turbulent flows | boundary layers | boundary layers | Lagrangian Coherent Structures | Lagrangian Coherent Structures

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18.06CI Linear Algebra - Communications Intensive (MIT)

Description

This is a communication intensive supplement to Linear Algebra (18.06). The main emphasis is on the methods of creating rigorous and elegant proofs and presenting them clearly in writing. The course starts with the standard linear algebra syllabus and eventually develops the techniques to approach a more advanced topic: abstract root systems in a Euclidean space.

Subjects

Linear Alegebra | Latex | LaTeX2e | mathematical writing | linear spaces | basis | dimension | linear mappings | matrices | subspaces | direct sums | reflections | Euclidean space | abstract root systems | simple roots | positive roots | Cartan matrix | Dynkin diagrams | classification | 18.06

License

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11.310J Media Technology and City Design and Development (MIT) 11.310J Media Technology and City Design and Development (MIT)

Description

This workshop explores the potential of media technology and the Internet to enhance communication and transform city design and community development in inner-city neighborhoods. The class introduces a variety of methods for describing or representing a place and its residents, for simulating actions and changes, for presenting visions of the future, and for engaging multiple actors in the process of envisioning change and guiding action. Students will engage two neighborhoods: the Mill Creek neighborhood of West Philadelphia, PA, and the Brightwood/Northend neighborhood of Springfield, MA. Students will meet real people working on real projects, put theory into practice, and reflect on insights gained in the process. Our hope is that student work will contribute to new initiatives i This workshop explores the potential of media technology and the Internet to enhance communication and transform city design and community development in inner-city neighborhoods. The class introduces a variety of methods for describing or representing a place and its residents, for simulating actions and changes, for presenting visions of the future, and for engaging multiple actors in the process of envisioning change and guiding action. Students will engage two neighborhoods: the Mill Creek neighborhood of West Philadelphia, PA, and the Brightwood/Northend neighborhood of Springfield, MA. Students will meet real people working on real projects, put theory into practice, and reflect on insights gained in the process. Our hope is that student work will contribute to new initiatives i

Subjects

workshop | workshop | community development in inner-city neighborhoods | community development in inner-city neighborhoods | internet | internet | digital | digital | teaching tool | teaching tool | media | media | urban | urban | design | design | West Philadelphia | West Philadelphia | Mill Creek | Mill Creek | urban environmental design | urban environmental design | information technology | information technology | public education | public education | city design | city design | community development | community development | inner-city neighborhoods | inner-city neighborhoods | design and planning | design and planning | grassroots efforts | grassroots efforts | neighborhood-based design | neighborhood-based design | environmental and community history | environmental and community history | planning | planning | community and watershed | community and watershed | WPLP | WPLP | school and community | school and community | interactive design | interactive design | 11.310 | 11.310 | 4.243 | 4.243

License

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2.29 Numerical Fluid Dynamics (MIT) 2.29 Numerical Fluid Dynamics (MIT)

Description

This course is an introduction to numerical methods and MATLAB®: Errors, condition numbers and roots of equations. Topics covered include Navier-Stokes; direct and iterative methods for linear systems; finite differences for elliptic, parabolic and hyperbolic equations; Fourier decomposition, error analysis and stability; high-order and compact finite-differences; finite volume methods; time marching methods; Navier-Stokes solvers; grid generation; finite volumes on complex geometries; finite element methods; spectral methods; boundary element and panel methods; turbulent flows; boundary layers; and Lagrangian coherent structures (LCSs). This course is an introduction to numerical methods and MATLAB®: Errors, condition numbers and roots of equations. Topics covered include Navier-Stokes; direct and iterative methods for linear systems; finite differences for elliptic, parabolic and hyperbolic equations; Fourier decomposition, error analysis and stability; high-order and compact finite-differences; finite volume methods; time marching methods; Navier-Stokes solvers; grid generation; finite volumes on complex geometries; finite element methods; spectral methods; boundary element and panel methods; turbulent flows; boundary layers; and Lagrangian coherent structures (LCSs).

Subjects

errors | errors | condition numbers and roots of equations | condition numbers and roots of equations | Navier-Stokes | Navier-Stokes | direct and iterative methods for linear systems | direct and iterative methods for linear systems | finite differences for elliptic | finite differences for elliptic | parabolic and hyperbolic equations | parabolic and hyperbolic equations | Fourier decomposition | Fourier decomposition | error analysis | error analysis | and stability | and stability | high-order and compact finite-differences | high-order and compact finite-differences | finite volume methods | finite volume methods | time marching methods | time marching methods | Navier-Stokes solvers | Navier-Stokes solvers | grid generation | grid generation | finite volumes on complex geometries | finite volumes on complex geometries | finite element methods | finite element methods | spectral methods | spectral methods | boundary element and panel methods | boundary element and panel methods | turbulent flows | turbulent flows | boundary layers | boundary layers | Lagrangian Coherent Structures | Lagrangian Coherent Structures

License

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11.948 Power of Place: Media Technology, Youth, and City Design and Development (MIT) 11.948 Power of Place: Media Technology, Youth, and City Design and Development (MIT)

Description

This workshop provides an introduction to urban environmental design and explores the potential of information technology and the Internet to transform public education, city design, and community development in inner-city neighborhoods. Integration of comprehensive ("top-down") and grassroots ("bottom-up") approaches to design and planning is a major theme. Students will work in a real neighborhood with real people on a real project, putting theory into practice and reflecting on insights gained in the process. We will study environmental and community history and devise designs for vacant land near a middle school in West Philadelphia within the context of planning for the larger community and watershed. The class website can be found here: Power of Place: Media Technology, You This workshop provides an introduction to urban environmental design and explores the potential of information technology and the Internet to transform public education, city design, and community development in inner-city neighborhoods. Integration of comprehensive ("top-down") and grassroots ("bottom-up") approaches to design and planning is a major theme. Students will work in a real neighborhood with real people on a real project, putting theory into practice and reflecting on insights gained in the process. We will study environmental and community history and devise designs for vacant land near a middle school in West Philadelphia within the context of planning for the larger community and watershed. The class website can be found here: Power of Place: Media Technology, You

Subjects

urban environmental design | urban environmental design | information technology | information technology | public education | public education | city design | city design | community development | community development | inner-city neighborhoods | inner-city neighborhoods | design and planning | design and planning | grassroots efforts | grassroots efforts | neighborhood-based design | neighborhood-based design | West Philadelphia | West Philadelphia | environmental and community history | environmental and community history | planning | planning | community and watershed | community and watershed | WPLP | WPLP | school and community | school and community | interactive design | interactive design | watershed | watershed | schools | schools

License

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13.002J Introduction to Numeric Analysis for Engineering (MIT) 13.002J Introduction to Numeric Analysis for Engineering (MIT)

Description

An introduction to the formulation, methodology, and techniques for numerical solution of engineering problems. Fundamental principles of digital computing and the implications for algorithm accuracy and stability. Error propagation and stability. The solution of systems of linear equations, including direct and iterative techniques. Roots of equations and systems of equations. Numerical interpolation, differentiation and integration. Fundamentals of finite-difference solutions to ordinary differential equations. Error and convergence analysis. Subject taught first half of term.Technical RequirementsMATLAB® software is required to run the .m files found on this course site.MATLAB® is a trademark of The MathWorks, Inc. An introduction to the formulation, methodology, and techniques for numerical solution of engineering problems. Fundamental principles of digital computing and the implications for algorithm accuracy and stability. Error propagation and stability. The solution of systems of linear equations, including direct and iterative techniques. Roots of equations and systems of equations. Numerical interpolation, differentiation and integration. Fundamentals of finite-difference solutions to ordinary differential equations. Error and convergence analysis. Subject taught first half of term.Technical RequirementsMATLAB® software is required to run the .m files found on this course site.MATLAB® is a trademark of The MathWorks, Inc.

Subjects

digital computing | digital computing | algorithm accuracy | algorithm accuracy | error propagation | error propagation | linear equations | linear equations | iterative techniques | iterative techniques | roots of equations | roots of equations | systems of equations | systems of equations | numerical interpolation | numerical interpolation | differentiation | differentiation | integration | integration | finite-difference solutions | finite-difference solutions | differential equations | differential equations | 10.002J | 10.002J | 13.002 | 13.002 | 10.002 | 10.002

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2.29 Numerical Fluid Mechanics (MIT) 2.29 Numerical Fluid Mechanics (MIT)

Description

This course will provide students with an introduction to numerical methods and MATLAB®. Topics covered throughout the course will include: errors, condition numbers and roots of equations; Navier-Stokes; direct and iterative methods for linear systems; finite differences for elliptic, parabolic and hyperbolic equations; Fourier decomposition, error analysis, and stability; high-order and compact finite-differences; finite volume methods; time marching methods; Navier-Stokes solvers; grid generation; finite volumes on complex geometries; finite element methods; spectral methods; boundary element and panel methods; turbulent flows; boundary layers; Lagrangian Coherent Structures. Subject includes a final research project. This course will provide students with an introduction to numerical methods and MATLAB®. Topics covered throughout the course will include: errors, condition numbers and roots of equations; Navier-Stokes; direct and iterative methods for linear systems; finite differences for elliptic, parabolic and hyperbolic equations; Fourier decomposition, error analysis, and stability; high-order and compact finite-differences; finite volume methods; time marching methods; Navier-Stokes solvers; grid generation; finite volumes on complex geometries; finite element methods; spectral methods; boundary element and panel methods; turbulent flows; boundary layers; Lagrangian Coherent Structures. Subject includes a final research project.

Subjects

errors | errors | condition numbers and roots of equations | condition numbers and roots of equations | Navier-Stokes | Navier-Stokes | direct and iterative methods for linear systems | direct and iterative methods for linear systems | finite differences for elliptic | finite differences for elliptic | parabolic and hyperbolic equations | parabolic and hyperbolic equations | Fourier decomposition | error analysis | and stability | Fourier decomposition | error analysis | and stability | high-order and compact finite-differences | high-order and compact finite-differences | finite volume methods | finite volume methods | time marching methods | time marching methods | Navier-Stokes solvers | Navier-Stokes solvers | grid generation | grid generation | finite volumes on complex geometries | finite volumes on complex geometries | finite element methods | finite element methods | spectral methods | spectral methods | boundary element and panel methods | boundary element and panel methods | turbulent flows | turbulent flows | boundary layers | boundary layers | Lagrangian Coherent Structures | Lagrangian Coherent Structures

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21M.030 Introduction to World Music (MIT) 21M.030 Introduction to World Music (MIT)

Description

This course explores the ways that music is both shaped by and gives shape to the cultural settings in which it is performed, through studying selected musical traditions from around the world. Specific case studies will be examined closely through listening, analysis, and hands-on instruction. The syllabus centers around weekly listening assignments and readings from a textbook with CDs, supplemented by hands-on workshops, lecture/demonstrations and concerts by master musicians from around the world. This course explores the ways that music is both shaped by and gives shape to the cultural settings in which it is performed, through studying selected musical traditions from around the world. Specific case studies will be examined closely through listening, analysis, and hands-on instruction. The syllabus centers around weekly listening assignments and readings from a textbook with CDs, supplemented by hands-on workshops, lecture/demonstrations and concerts by master musicians from around the world.

Subjects

Enthomusicology | Enthomusicology | field study | field study | music analysis | music analysis | anthropology | anthropology | culture | culture | globalization | globalization | crossover | crossover | folk music | folk music | ethnic music | ethnic music | roots music | roots music | international music | international music | gamelan | gamelan | raga | raga | blues | blues

License

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21G.035 Topics in Culture and Globalization: Reggae as Transnational Culture (MIT) 21G.035 Topics in Culture and Globalization: Reggae as Transnational Culture (MIT)

Description

This course considers reggae, or Jamaican popular music more generally—in its various forms (ska, rocksteady, roots, dancehall)—as constituted by international movements and exchanges and as a product that circulates globally in complex ways. By reading across the reggae literature, as well as considering reggae texts themselves (songs, films, videos, and images), students will scrutinize the different interpretations of reggae's significance and the implications of different interpretations of the story of Jamaica and its music. Beginning with a consideration of how Jamaica's popular music industry emerged out of transnational exchanges, the course will proceed to focus on reggae's circulation outside of Jamaica via diasporic networks and commercial mediascapes. Among other This course considers reggae, or Jamaican popular music more generally—in its various forms (ska, rocksteady, roots, dancehall)—as constituted by international movements and exchanges and as a product that circulates globally in complex ways. By reading across the reggae literature, as well as considering reggae texts themselves (songs, films, videos, and images), students will scrutinize the different interpretations of reggae's significance and the implications of different interpretations of the story of Jamaica and its music. Beginning with a consideration of how Jamaica's popular music industry emerged out of transnational exchanges, the course will proceed to focus on reggae's circulation outside of Jamaica via diasporic networks and commercial mediascapes. Among other

Subjects

reggae | reggae | world culture | world culture | globalization | globalization | Rastafari | Rastafari | Jamaica | Jamaica | Caribbean music | Caribbean music | African diaspora | African diaspora | hip-hop | hip-hop | identity | identity | race | race | ethnicity | ethnicity | nationalism | nationalism | gender | gender | sexuality | sexuality | religion | religion | Bob Marley | Bob Marley | dancehall | dancehall | reggaeton | reggaeton | roots | roots | ska | ska

License

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MAS.666 Developmental Entrepreneurship (MIT) MAS.666 Developmental Entrepreneurship (MIT)

Description

This class surveys developmental entrepreneurship via case examples of both successful and failed businesses and generally grapples with deploying and diffusing products and services through entrepreneurial action. By drawing on live and historical cases, especially from South Asia, Africa, Latin America as well as Eastern Europe, China, and other developing regions, we seek to cover the broad spectrum of challenges and opportunities facing developmental entrepreneurs. Finally, we explore a range of established and emerging business models as well as new business opportunities enabled by developmental technologies developed in MIT labs and beyond. This class surveys developmental entrepreneurship via case examples of both successful and failed businesses and generally grapples with deploying and diffusing products and services through entrepreneurial action. By drawing on live and historical cases, especially from South Asia, Africa, Latin America as well as Eastern Europe, China, and other developing regions, we seek to cover the broad spectrum of challenges and opportunities facing developmental entrepreneurs. Finally, we explore a range of established and emerging business models as well as new business opportunities enabled by developmental technologies developed in MIT labs and beyond.

Subjects

developing nations | developing nations | entrepreneurship | entrepreneurship | management | management | technology | technology | population growth | population growth | poverty | poverty | innovation | innovation | social conscience | social conscience | humanitarian design | humanitarian design | low-cost technology | low-cost technology | distribution of technology | distribution of technology | case studies | case studies | business models | business models | products | products | services | services | developmental entrepreneurship | developmental entrepreneurship | South Asia | South Asia | Africa | Africa | Latin America | Latin America | Eastern Europe | Eastern Europe | China | China | developmental technologies | developmental technologies | grassroots entrepreneurship | grassroots entrepreneurship | microfinance | microfinance | financial services | financial services | developmental capital | developmental capital

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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Gender Studies Seminar: Latina Women's Voices (MIT) Gender Studies Seminar: Latina Women's Voices (MIT)

Description

This course will explore the rich diversity of women's voices and experiences as reflected in writings and films by and about Latina writers, filmmakers, and artists. Through close readings, class discussions and independently researched student presentations related to each text, we will explore not only the unique, individual voice of the writer, but also the cultural, social and political contexts which inform their narratives. We will also examine the roles that gender, familial ties and social and political preoccupations play in shaping the values of the writers and the nature of the characters encountered in the texts and films. This course will explore the rich diversity of women's voices and experiences as reflected in writings and films by and about Latina writers, filmmakers, and artists. Through close readings, class discussions and independently researched student presentations related to each text, we will explore not only the unique, individual voice of the writer, but also the cultural, social and political contexts which inform their narratives. We will also examine the roles that gender, familial ties and social and political preoccupations play in shaping the values of the writers and the nature of the characters encountered in the texts and films.

Subjects

Latina | Latina | women | women | code-switching | code-switching | first generation | first generation | coming-of-age | coming-of-age | Chicana | Chicana | roots | roots | revolution | revolution | politics | politics | poverty | | poverty | | social criticism | social criticism | kinship | kinship | biography | biography | magic realism | magic realism | mythical historicism | mythical historicism

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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2.993J Introduction to Numerical Analysis for Engineering (13.002J) (MIT) 2.993J Introduction to Numerical Analysis for Engineering (13.002J) (MIT)

Description

This course is offered to undergraduates and introduces students to the formulation, methodology, and techniques for numerical solution of engineering problems. Topics covered include: fundamental principles of digital computing and the implications for algorithm accuracy and stability, error propagation and stability, the solution of systems of linear equations, including direct and iterative techniques, roots of equations and systems of equations, numerical interpolation, differentiation and integration, fundamentals of finite-difference solutions to ordinary differential equations, and error and convergence analysis. The subject is taught the first half of the term. This subject was originally offered in Course 13 (Department of Ocean Engineering) as 13.002J. In 2005, ocean engineering This course is offered to undergraduates and introduces students to the formulation, methodology, and techniques for numerical solution of engineering problems. Topics covered include: fundamental principles of digital computing and the implications for algorithm accuracy and stability, error propagation and stability, the solution of systems of linear equations, including direct and iterative techniques, roots of equations and systems of equations, numerical interpolation, differentiation and integration, fundamentals of finite-difference solutions to ordinary differential equations, and error and convergence analysis. The subject is taught the first half of the term. This subject was originally offered in Course 13 (Department of Ocean Engineering) as 13.002J. In 2005, ocean engineering

Subjects

digital computing | digital computing | algorithm accuracy | algorithm accuracy | error propagation | error propagation | linear equations | linear equations | iterative techniques | iterative techniques | roots of equations | roots of equations | systems of equations | systems of equations | numerical interpolation | numerical interpolation | differentiation | differentiation | integration | integration | finite-difference solutions | finite-difference solutions | differential equations | differential equations | convergence analysis | convergence analysis

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.S34 Problem Solving Seminar (MIT) 18.S34 Problem Solving Seminar (MIT)

Description

This course is an undergraduate seminar on mathematical problem solving. It is intended for students who enjoy solving challenging mathematical problems and who are interested in learning various techniques and background information useful for problem solving. This course is an undergraduate seminar on mathematical problem solving. It is intended for students who enjoy solving challenging mathematical problems and who are interested in learning various techniques and background information useful for problem solving.

Subjects

Pigeonhole Principle | Pigeonhole Principle | probability | probability | congruences and divisibility | congruences and divisibility | recurrences | recurrences | limits | limits | greatest integer function | greatest integer function | inequalities | inequalities | Putnam practice | Putnam practice | hidden independence | hidden independence | roots of polynomials | roots of polynomials

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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Person standing at the base of a large fig tree Fig Tree Pocket Brisbane 1866

Description

Subjects

roots | brisbane | treetrunks | statelibraryofqueensland | figtreepocket | figtreesbush

License

No known copyright restrictions

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Squares, roots and powers

Description

From paving your patio to measuring the ingredients for your latest recipe squares roots and powers really are part of everyday life. This free course reviews the basics of all three and also describes scientific notation which is a convenient way of writing or displaying large numbers.

Subjects

Statistics | MU120_4M4 | roots | Skills for study: Maths and data

License

Except for third party materials and otherwise stated in the acknowledgement section (see our terms and conditions http://www.open.ac.uk/conditions) this content is made available under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 Licence. - http://creativecommons.org/licenses/by-nc-sa/4.0 Except for third party materials and otherwise stated in the acknowledgement section (see our terms and conditions http://www.open.ac.uk/conditions) this content is made available under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 Licence. - http://creativecommons.org/licenses/by-nc-sa/4.0

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MAS.666 Developmental Entrepreneurship (MIT)

Description

This class surveys developmental entrepreneurship via case examples of both successful and failed businesses and generally grapples with deploying and diffusing products and services through entrepreneurial action. By drawing on live and historical cases, especially from South Asia, Africa, Latin America as well as Eastern Europe, China, and other developing regions, we seek to cover the broad spectrum of challenges and opportunities facing developmental entrepreneurs. Finally, we explore a range of established and emerging business models as well as new business opportunities enabled by developmental technologies developed in MIT labs and beyond.

Subjects

developing nations | entrepreneurship | management | technology | population growth | poverty | innovation | social conscience | humanitarian design | low-cost technology | distribution of technology | case studies | business models | products | services | developmental entrepreneurship | South Asia | Africa | Latin America | Eastern Europe | China | developmental technologies | grassroots entrepreneurship | microfinance | financial services | developmental capital

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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Squares, roots and powers

Description

From paving your patio to measuring the ingredients for your latest recipe, squares, roots and powers really are part of everyday life. This unit reviews the basics of all three and also describes scientific notation, which is a convenient way of writing or displaying large numbers.

Subjects

mathematics and statistics | power | roots | square | Education | X000

License

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

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11.310J Media Technology and City Design and Development (MIT)

Description

This workshop explores the potential of media technology and the Internet to enhance communication and transform city design and community development in inner-city neighborhoods. The class introduces a variety of methods for describing or representing a place and its residents, for simulating actions and changes, for presenting visions of the future, and for engaging multiple actors in the process of envisioning change and guiding action. Students will engage two neighborhoods: the Mill Creek neighborhood of West Philadelphia, PA, and the Brightwood/Northend neighborhood of Springfield, MA. Students will meet real people working on real projects, put theory into practice, and reflect on insights gained in the process. Our hope is that student work will contribute to new initiatives i

Subjects

workshop | community development in inner-city neighborhoods | internet | digital | teaching tool | media | urban | design | West Philadelphia | Mill Creek | urban environmental design | information technology | public education | city design | community development | inner-city neighborhoods | design and planning | grassroots efforts | neighborhood-based design | environmental and community history | planning | community and watershed | WPLP | school and community | interactive design | 11.310 | 4.243

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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