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The course treats: the discrete Fourier Transform (DFT), the Fast Fourier Transform (FFT), their application in OFDM and DSL;...
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The course treats: the discrete Fourier Transform (DFT), the Fast Fourier Transform (FFT), their application in OFDM and DSL; elements of estimation theory and their application in communications; linear prediction, parametric methods, the Yule-Walker equations, the Levinson algorithm, the Schur algorithm; detection and estimation filters; non-parametric estimation; selective filtering, application to beamforming. Study Goals: You will have acquired insight in how signal processing mathematics is really applied in concrete engineering examples. You will know how to do a time-frequency analysis, how to apply the FFT in Digital Subscriber Lines (DSL), how to estimate, separate and filter signals..
Material Type:
Online Course
Author:
Dewilde, P.M.
Date Added:
Oct 20, 2011
Date Modified:
Oct 20, 2011
Peer Review for material titled "ET4235 Digital Signal Processing"
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In this course you will learn how to use calculus to understand and model real life situations such as those in business,...
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In this course you will learn how to use calculus to understand and model real life situations such as those in business, environmental changes, population growth to name a few. As expected, real life situations are in general very complicated and are difficult to model but with the mathematics in this course we can understand some of the more basic models. These OpenCourseWare materials include interactive Java applets for many Calculus topics.
Material Type:
Online Course
Author:
Professor Alex Himonas, Ph.D.
Date Added:
Oct 20, 2011
Date Modified:
Oct 20, 2011
Peer Review for material titled "MATH 10260 - Calculus II for Business, Fall 2009"
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This course is an introduction to differential and integral calculus. It begins with a short review of basic concepts...
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This course is an introduction to differential and integral calculus. It begins with a short review of basic concepts surrounding the notion of a function. Then it introduces the important concept of the limit of a function, and use it to study continuity and the tangent problem. The solution to the tangent problem leads to the study of derivatives and their applications. Then it considers the area problem and its solution, the definite integral. The course concludes with the calculus of elementary transcendental functions.
Material Type:
Online Course
Author:
Catalin Zara
Date Added:
Oct 20, 2011
Date Modified:
Oct 20, 2011
Peer Review for material titled "MATH 140 - Calculus I, Summer 2007"
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Continuation of MATH 140. Topics include transcendental functions, techniques of integration, applications of the integral,...
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Continuation of MATH 140. Topics include transcendental functions, techniques of integration, applications of the integral, improper integrals, l'Hospital's rule, sequences, and series.
Material Type:
Online Course
Author:
Catalin Zara, Ph.D.
Date Added:
Oct 20, 2011
Date Modified:
Oct 20, 2011
Peer Review for material titled "MATH 141 - Calculus II, Spring 2006"
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This course is an introduction to the calculus of functions of several variables. It begins with studying the basic objects...
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This course is an introduction to the calculus of functions of several variables. It begins with studying the basic objects of multidimensional geometry: vectors and vector operations, lines, planes, cylinders, quadric surfaces, and various coordinate systems. It continues with the elementary differential geometry of vector functions and space curves. After this, it extends the basic tools of differential calculus - limits, continuity, derivatives, linearization, and optimization - to multidimensional problems. The course will conclude with a study of integration in higher dimensions, culminating in a multidimensional version of the substitution rule.
Material Type:
Online Course
Author:
Catalin Zara, Ph.D.
Date Added:
Oct 20, 2011
Date Modified:
Oct 20, 2011
Peer Review for material titled "MATH 240 - Calculus III, Fall 2006"
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Course HighlightsThe first part of the course will follow the characteristics of finite element method from a mathematical...
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Course HighlightsThe first part of the course will follow the characteristics of finite element method from a mathematical point of view. Weak formulation of differential equations and its finite element formulation will be covered. Application to linear elastic body will be investigated with finite element method formulation, isoparametric solid element, Gaussian elimination for system of linear equations to introduce the general programming of finite element method. The second part consists of the finite element method of its application to nonlinear problems.
Material Type:
Online Course
Author:
Assistant Prof. Hiroshi WatanabeÃ‚Â
Date Added:
Oct 20, 2011
Date Modified:
Oct 20, 2011
Peer Review for material titled "Nonlinear Finite-element-Method"
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Western philosophy and theoretical mathematics were born together, and the cross-fertilization of ideas in the two...
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Western philosophy and theoretical mathematics were born together, and the cross-fertilization of ideas in the two disciplines was continuously acknowledged throughout antiquity. In this course, we read works of ancient Greek philosophy and mathematics, and investigate the way in which ideas of definition, reason, argument and proof, rationality and irrationality, number, quality and quantity, truth, and even the idea of an idea were shaped by the interplay of philosophic and mathematical inquiry.
Material Type:
Online Course
Author:
Dr. Lee Perlman
Date Added:
Oct 20, 2011
Date Modified:
Oct 20, 2011
Peer Review for material titled "SP.2H3 / ESG.SP2H3 Ancient Philosophy and Mathematics"
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Course HighlightsThis course aims to facilitate students understanding of the basics of probability and statistics,...
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Course HighlightsThis course aims to facilitate students understanding of the basics of probability and statistics, stochastic processes, and signal processing through drills and processes, and in putting them into practice without difficulty. Despite mainly targeting third-year students, the course also accepts fourth-year students to participate. Through this course, students may learn subjects such as combination and probability, random variables and probability distributions, random walk, Brownian motion, Langevin equation, autocorrelation, noise, error, Fourier transformation, power spectrum, digital signal processing, etc. With regard to signal processing, the course will provide drills and practices by computer using the SPICE3 program.
Material Type:
Online Course
Author:
Associate Prof. Kenichi Ishikawa
Date Added:
Aug 10, 2012
Date Modified:
Aug 10, 2012
Peer Review for material titled "Statistics Mathematical Principles"
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The lectures are at a beginning graduate level and assume only basic familiarity with Functional Analysis and Probability...
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The lectures are at a beginning graduate level and assume only basic familiarity with Functional Analysis and Probability Theory. Topics covered include:Random variables in Banach spaces: Gaussian random variables, contraction principles, Kahane-Khintchine inequality, AndersonÃ¢â‚¬â„¢s inequality. Stochastic integration in Banach spaces I: ÃŽÂ³-Radonifying operators, ÃŽÂ³-boundedness, Brownian motion, Wiener stochastic integral. Stochastic evolution equations I: Linear stochastic evolution equations: existence and uniqueness, HÃƒÂ¶lder regularity. Stochastic integral in Banach spaces II: UMD spaces, decoupling inequalities, ItÃƒÂ´ stochastic integral. Stochastic evolution equations II: Nonlinear stochastic evolution equations: existence and uniqueness, HÃƒÂ¶lder regularity.Study Goals: At the end of the course, the student understands the basic techniques of probability theory in infinite-dimensional spaces and their applications to stochastic partial differential equations. The student is able to model a stochastic partial differential equation as an abstract stochastic evolution equation on a suitably chosen infinite-dimensional state space and solve this equation using fixed point techniques and stochastic integration in infinite dimensions..
Material Type:
Online Course
Author:
Neerven, J.M.A.M. van
Date Added:
Oct 20, 2011
Date Modified:
Oct 20, 2011
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