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MAM015 Theory of Distributions 3.0 ECTS credits | |
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TIMEPERIOD: LANGUAGE:English/Swedish EXAMINER Reinhold Näslund Univ adj PREREQUISITES COURSE AIM The aim of the course is to present the basic ideas of the Theory of Distributions, which are of particular importance for solving classes of important problems in Applied Mathematics and in Engineering Sciences. CONTENTS Testfunctions and distributions of slow growth (tempered distributions). The Heaviside function and Diracs deltafunction, Physical Intepretations, Differentiation of distributions. Convergence of distributions. Periodic distributions and Fourier series. Fourier Transforms. Convolutions of tempered distributions. Applications to ordinary differential Equations. TEACHING EXAMINATION Written examination at the end of the course
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| Written exam | 3.00ECTS |
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COURSE LITERATURE Aniansson, Benedicks and Daho, Fouriermetoder, kap 5, KTH 1988. REMARKS Course information from the department: http://www.sm.luth.se/math/education/ |
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