delta functions
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Statistics 110 (Probability), which has been taught at Harvard University by Joe Blitzstein (Professor of the Practice, Harvard Statistics Department) each year since 2006. Lecture videos, review materials, and over 250 practice problems with detailed solutions are provided. This course is an introduction to probability as a language and set of tools for understanding statistics, science, risk, and randomness. The ideas and methods are use...more
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Introduction to applied linear algebra and linear dynamical systems, with applications to circuits, signal processing, communications, and control systems. Topics include: Least-squares aproximations of over-determined equations and least-norm solutions of underdetermined equations. Symmetric matrices, matrix norm and singular value decomposition. Eigenvalues, left and right eigenvectors, and dynamical interpretation. Matrix exponential, ...more
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Note: This course is being offered this summer by Stanford as an online course for credit. It can be taken individually, or as part of a master’s degree or graduate certificate earned online through the Stanford Center for Professional Development. The goals for the course are to gain a facility with using the Fourier transform, both specific techniques and general principles, and learning to recognize when, why, and how it is used. To...more
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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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Architectural and circuit level design and analysis of integrated analog-to-digital and digital-to-analog interfaces in CMOS and BiCMOS VLSI technology. Analog-digital converters, digital-analog converters, sample/hold amplifiers, continuous and switched-capacitor filters. RF integrated electronics including synthesizers, LNA's, and baseband processing. Low power mixed signal design. Data communications functions including clock recovery. ...more
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Introduction to programming and computer science. This course exposes students to techniques of abstraction at several levels: (a) within a programming language, using higher-order functions, manifest types, data-directed programming, and message-passing; (b) between programming languages, using functional and rule-based languages as examples. It also relates these techniques to the practical problems of implementation of languages and alg...more
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This introductory calculus course covers differentiation and integration of functions of one variable, with applications.
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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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In this lecture, Professor Diamond moves in depth into the digestive system, discussing the tongue, salivary glands, layers of the digestive track, esophagus, stomach, and small intestine. She discusses the components of the tongue, including the taste buds, and describes the tongue's function in mixing food with saliva and amylase enzymes, swallowing, and talking. Professor Diamond goes on to describe how saliva is generated and transmi...more
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In this lecture, Professor Diamond continues her discussion of the nervous system and begins by reviewing the telencephalon before transitioning into a discussion of the six layers of the neocortex. She discusses the hippocampal-dentate complex, the archicortex, and the temporal lobe, which contains the hippocampus and pyramidal cells along with the fimbrea, fornix, and mammilary bodies. To enhance students' understanding of the neural tu...more
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In this lecture, Professor Diamond conducts a review of previous lectures including areas of the respiratory system, nervous system, vascular system, as well as hematology and cardiology. Her review takes the format of a quiz as she goes through slides and asks students to identify parts of the slides as well as answer multiple choice and true or false questions. Questions involve topics such as the hyelin cartilage, the trachea, lungs, ...more
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In many regions, the central cultural idea is that of a lineage, a family and its line of male ancestors and descendants. The prime duty in these cultures is to keep the lineage going. Religion is small scale with the ancestors performing many of the functions of gods. Denser populations and larger political entities lead to large-scale religion where conformity is stressed and cultural rules are codified in a book and not subject to discu...more
