Courses tagged with "Information control" (1404)
This course explores the history of the ideal of personal freedom with an eye towards contemporary debates over the pros and cons of the regulatory state. The first part of the course surveys the sociological and theological sources of the concepts of freedom and civil society, and introduces liberty's leading relatives or competitors: property, equality, community, and republicanism. The second part consists of a series of case studies in the rise of modern liberty and libertarianism: the abolition of slavery, the struggle for religious freedom, and the twentieth-century American civil liberties movement. In the last part of the course, we take up debates over the role of libertarianism vs. the regulatory state in a variety of contexts: counter-terrorism, health care, the financial markets, and the Internet.
This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering. It parallels the combination of theory and applications in Professor Strang’s textbook Introduction to Linear Algebra.
Course Format
This course has been designed for independent study. It provides everything you will need to understand the concepts covered in the course. The materials include:
- A complete set of Lecture Videos by Professor Gilbert Strang.
- Summary Notes for all videos along with suggested readings in Prof. Strang's textbook Linear Algebra.
- Problem Solving Videos on every topic taught by an experienced MIT Recitation Instructor.
- Problem Sets to do on your own with Solutions to check your answers against when you're done.
- A selection of Java® Demonstrations to illustrate key concepts.
- A full set of Exams with Solutions, including review material to help you prepare.
Other Versions
Other OCW Versions
OCW has published multiple versions of this subject. ![]()
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This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, quadratic forms, and canonical forms of matrices. Compared with 18.06 Linear Algebra, more emphasis is placed on theory and proofs.
This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.
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 course provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science engineering, including heat / diffusion, wave, and Poisson equations. Analytics emphasize the viewpoint of linear algebra and the analogy with finite matrix problems. Numerics focus on finite-difference and finite-element techniques to reduce PDEs to matrix problems. The Julia Language (a free, open-source environment) is introduced and used in homework for simple examples.
This course studies the development of bilingualism in human history (from Australopithecus to present day). It focuses on linguistic aspects of bilingualism; models of bilingualism and language acquisition; competence versus performance; effects of bilingualism on other domains of human cognition; brain imaging studies; early versus late bilingualism; opportunities to observe and conduct original research; and implications for educational policies among others. The course is taught in English.
This course studies the development of bilingualism in human history (from Australopithecus to present day). It focuses on linguistic aspects of bilingualism; models of bilingualism and language acquisition; competence versus performance; effects of bilingualism on other domains of human cognition; brain imaging studies; early versus late bilingualism; opportunities to observe and conduct original research; and implications for educational policies among others. The course is taught in English.
This course is a detailed examination of the grammar of Japanese and its structure which is significantly different from English, with special emphasis on problems of interest in the study of linguistic universals. Data from a broad group of languages is studied for comparison with Japanese. This course assumes familiarity with linguistic theory.
This course is designed for high-intermediate ESL students who need to develop better listening comprehension and oral skills, which will primarily be achieved by detailed instructions on pronunciation. Our focus will be on (1) producing accurate and intelligible English, (2) becoming more comfortable listening to rapidly spoken English, and (3) learning common expressions, gambits, and idioms used in both formal and informal contexts.
This course is designed for high-intermediate ESL students who need to develop better listening comprehension and oral skills, which will primarily be achieved by detailed instructions on pronunciation. Our focus will be on (1) producing accurate and intelligible English, (2) becoming more comfortable listening to rapidly spoken English, and (3) learning common expressions, gambits, and idioms used in both formal and informal contexts.
Alienation, overcrowding, sensory overload, homelessness, criminality, violence, loneliness, sprawl, blight. How have the realities of city living influenced literature's formal and thematic techniques? How useful is it to think of literature as its own kind of "map" of urban space? Are cities too grand, heterogeneous, and shifting to be captured by writers? In this seminar we will seek answers to these questions in key city literature, and in theoretical works that endeavor to understand the culture of cities.
Alienation, overcrowding, sensory overload, homelessness, criminality, violence, loneliness, sprawl, blight. How have the realities of city living influenced literature's formal and thematic techniques? How useful is it to think of literature as its own kind of "map" of urban space? Are cities too grand, heterogeneous, and shifting to be captured by writers? In this seminar we will seek answers to these questions in key city literature, and in theoretical works that endeavor to understand the culture of cities.
How does one writer use another writer's work? Does it matter if one author has been dead 300 years? What difference does it make if she's a groundbreaking twentieth-century feminist and the writer she values has come to epitomize the English literary tradition? How can a novelist borrow from plays and poems? By reading Virginia Woolf's major novels and essays in juxtaposition with some of the Shakespeare plays that (depending on one's interpretation) haunt, enrich, and/or shape her writing, we will try to answer these questions and raise others. Readings in literary criticism, women's studies, and other literary texts will complement our focus on the relationship--across time, media, and gender--between Shakespeare and Woolf. As a seminar, we will work to become more astute readers of literature within its historical, artistic, and political contexts, and consider how literature both reflects and contributes to these societal frameworks. Central texts will include Shakespeare's Othello, Antony and Cleopatra, Cymbeline, and The Winter's Tale, and Woolf's A Room of One's Own, Mrs. Dalloway, Orlando, To the Lighthouse, The Waves, and Between the Acts. This subject is an advanced seminar in both the Literature and the Women's Studies Program.
How does one writer use another writer's work? Does it matter if one author has been dead 300 years? What difference does it make if she's a groundbreaking twentieth-century feminist and the writer she values has come to epitomize the English literary tradition? How can a novelist borrow from plays and poems? By reading Virginia Woolf's major novels and essays in juxtaposition with some of the Shakespeare plays that (depending on one's interpretation) haunt, enrich, and/or shape her writing, we will try to answer these questions and raise others. Readings in literary criticism, women's studies, and other literary texts will complement our focus on the relationship--across time, media, and gender--between Shakespeare and Woolf. As a seminar, we will work to become more astute readers of literature within its historical, artistic, and political contexts, and consider how literature both reflects and contributes to these societal frameworks. Central texts will include Shakespeare's Othello, Antony and Cleopatra, Cymbeline, and The Winter's Tale, and Woolf's A Room of One's Own, Mrs. Dalloway, Orlando, To the Lighthouse, The Waves, and Between the Acts. This subject is an advanced seminar in both the Literature and the Women's Studies Program.
Topic: The English sense of humor. This course examines English literature across genre and historical periods. It is designed for students who want to study English literature or writing in some depth, or to know more about English literary culture and history. Students will also learn about the relationships between literary themes, forms, and conventions and the times in which they were produced. Materials include: Medieval tales, riddles, and character sketches; Renaissance lyrics and a play, 18th-century satires in words and images, 19th century irony, modern stories and film.
The aim of this subject is to acquaint the student with some important works of systematic ethical philosophy and to bring to bear the viewpoint of those works on the study of classic works of literature. This subject will trace the history of ethical speculation in systematic philosophy by identifying four major positions: two from the ancient world and the two most important traditions of ethical philosophy since the renaissance. The two ancient positions will be represented by Plato and Aristotle, the two modern positions by Immanuel Kant and John Stuart Mill. We will try to understand these four positions as engaged in a rivalry with one another, and we will also engage with the philosophy of Thomas Hobbes, which offers a bridge between ancient and modern conceptions and provides a source for the rivalry between the viewpoints of Kant and Mill. Further, we will be mindful that the modern positions are subject to criticism today by new currents of philosophical speculation, some of which argue for a return to the positions of Plato and Aristotle.
In this course we will cover central aspects of modern formal logic, beginning with an explanation of what constitutes good reasoning. Topics will include validity and soundness of arguments, formal derivations, truth-functions, translations to and from a formal language, and truth-tables. We will thoroughly cover sentential calculus and predicate logic, including soundness and completeness results.
This course begins with an introduction to the theory of computability, then proceeds to a detailed study of its most illustrious result: Kurt Gödel's theorem that, for any system of true arithmetical statements we might propose as an axiomatic basis for proving truths of arithmetic, there will be some arithmetical statements that we can recognize as true even though they don't follow from the system of axioms. In my opinion, which is widely shared, this is the most important single result in the entire history of logic, important not only on its own right but for the many applications of the technique by which it's proved. We'll discuss some of these applications, among them: Church's theorem that there is no algorithm for deciding when a formula is valid in the predicate calculus; Tarski's theorem that the set of true sentence of a language isn't definable within that language; and Gödel's second incompleteness theorem, which says that no consistent system of axioms can prove its own consistency.
Machine Vision provides an intensive introduction to the process of generating a symbolic description of an environment from an image. Lectures describe the physics of image formation, motion vision, and recovering shapes from shading. Binary image processing and filtering are presented as preprocessing steps. Further topics include photogrammetry, object representation alignment, analog VLSI and computational vision. Applications to robotics and intelligent machine interaction are discussed.
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