Engelska Studiehandboken kurser

Dept of Mathematics

MAM015 Theory of Distributions 3.0 ECTS credits

DENNA SIDA FINNS OCKSÅ PÅ SVENSKA

General information about studying at Luleå university

TIMEPERIOD:

LANGUAGE: Swedish

EXAMINER
R 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
Basic theory for generalized functions The Heaviside function and Dirac«s deltafunctions. Multiplication and differentiation of distributions. Convolution between, and limiting processes of, distributions. Fourier series and Fourier transforms of distributions Periodic distributions and Fourier series. Fourier transforms of distributions. Calculation rules. Physical and Technical intepretations. Applications Solutions of Differential Equa-tions. Green«s method. Linear systems.

TEACHING

EXAMINATION
Written examination at the end of the course
COURSE GRADE SCALE:

ITEMS/CREDITS


Written exam                                                	3.0ECTS

COURSE LITTERATURE
Aniansson, Benedicks and Daho, Fouriermetoder, KTH 1988. Teaching material from the department of Applied Mathematics in Luleå.

REMARKS

Last modified : 97-09-25

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