limit theorems
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How reserve requirements limit how much lending a bank can do.
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Seeing how reserve ratios limit how much lending I can do.
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Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists).
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Introduction to the central limit theorem and the sampling distribution of the mean.
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Central limit theorem, normal distribution applications.
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Concentrates on recognizing and solving convex optimization problems that arise in engineering. Topics include: Convex sets, functions, and optimization problems. Basics of convex analysis. Least-squares, linear and quadratic programs, semidefinite programming, minimax, extremal volume, and other problems. Optimality conditions, duality theory, theorems of alternative, and applications. Interiorpoint methods. Applications to signal proc...more
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By 1950, in most of the underdeveloped world, mortality had fallen to about half its pre-modern rate. The birth rate, however, had remained high and, by 1950, was about twice the death rate. For the rest of the century, both rates fell dramatically and in parallel, maintaining the gap. The enormous excess of births over deaths in this period is known as 'the population explosion.' By 1990, the world population was growing at almost 90 mill...more
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Introduction to the Epsilon Delta Definition of a Limit.
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Using the epsilon delta definition to prove a limit.
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Until recently, the world population has been growing faster than exponentially. Although the growth rate has slowed somewhat, there are about 80 million more people each year and about 3 billion more will be added by 2050 (a 50% increase). Population will probably increase more beyond that. Such growth is unprecedented and we cannot predict its long-term effects. The environmental impact of this population increase is bound to be astronom...more
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Administrative Details, Exams - Time limit, Conflicts, Course Grade Breakdown, Assignment Details - Submission, Grading, Late Days, Course Email, Newsgroup, Facebook/Twitter, Mailing List, Course Prerequisites, Languages and Paradigms Taught - C++ vs. Pure C, Procedural Paradigm vs. Object-Oriented Paradigm, Assembly, Concurrent Programming Overview, Example of Data Sharing Issues with Concurrent Programming, Scheme, Functional Paradigm Ov...more
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Law of large numbers, central limit theorem.
