fourier series
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Introduction to collateralized debt obligations (to be listen to after series on mortgage-backed securities.
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This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Laplace's equation and potential flow; boundary-value problems; minimum principles and calculus of variations; Fourier series; discrete Fourier transform; convolution; and applications.
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July 26, 2007 presentation by Craig Heller for the Stanford University Office of Science Outreach's Summer Science Lecture Series. Craig Heller, Professor of Biological Sciences, shares how and why this novel technique is being developed and its potential to improve the quality of human life and the body's performance.
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Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODEs) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical and numerical methods; Linear ODE's, especial...more
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Discrete-time fourier transforms and sampling theorem
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August 9, 2007 presentation by Russ Altman for the Stanford University Office of Science Outreach's Summer Science Lecture Series. There are a number of causes for variation in drug response across the population, but differences in genetics are an important factor. Russ Altman, Professor & Chair of Bioengineering and Professor of Genetics and Medicine, discusses how variations in genetics can alter the "typical" response as well as touch...more
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Suppose you have a perfect model of contingent mortgage prepayments, like the one built in the previous lecture. You are willing to bet on your prepayment forecasts, but not on which way interest rates will move. Hedging lets you mitigate the extra risk, so that you only have to rely on being right about what you know. The trouble with hedging is that there are so many things that can happen over the 30-year life of a mortgage. Even if int...more
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The Energy Seminar is produced by the Woods and Precourt Institutes and is comprised of an interdisciplinary series of talks primarily by Stanford experts on a broad range of energy topics.
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England's economic success peaked in 1300 amidst a riot of architectural excess and was followed by a series of disasters which lasted much of the fourteenth century. Yet against a catastrophic background English architectural individualism flourished and out of radically changed social structures an architectural consensus emerged.
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Michael Cox and D'Artagnan Scorza join the Education for Sustainable Living Program (ESLP) speaker series. ESLP is a student designed, student developed, and student facilitated program offered through UCLA's Institute of the Environment.
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Today's lecture concludes Professor Freeman's discussion of the four phases of the Revolutionary War. America's victory at the Battle of Saratoga in 1777 marked the end of the third phase of the war, and led to a turning point in the conflict: France's decision to recognize American independence and enter into an alliance with the fledging nation. Although the British made one final attempt at reconciliation in 1778 with the Conciliatory P...more
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A series of 5 lectures from various economists and political analysts examining the roots, results, and responses to financial crises.
