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Course Catalog 01/02


Mathematics

MAM069 Linear Systems 6.0 ECTS credits

TIMEPERIOD:


LANGUAGE:Swedish

EXAMINER
Reinhold Näslund Univ adj


PREREQUISITES
MAM138 (MAM140)

COURSE AIM
To give knowledge of and skill in the use of some mathematical methods which are needed for the treatment of problems in signalanalysis, control systems and circuit theory.

CONTENTS
Laplace transforms
Definition and basic properties, inverse Laplace transform, the initial- and finalvaluetheorems. Solving linear differential equations with constant coefficients.

Systems
Properties of linear systems, input- output relations, generalized functions, unit impulse responce, step response, transfer function and frequency response, convolution.

Systems of linear differential equations with constant coefficients
State space models, matrix methods, steady- and transient solutions, stability. The matrix exponential and linear systems. Mechanical vibrations and electric circuits.

TEACHING


EXAMINATION

COURSE GRADE SCALE: A - F

ITEMS/CREDITS

Written exam 6.00ECTS

COURSE LITERATURE
(all in Swedish)
Spanne: Föreläsningar i Lineära system, KF SIGMA, Lund.
Spanne: Övningar i Lineära system.
Daho: Kompendium i Laplacetransform, Lintek, Linköping.
Stenciler.

Course information from the department: http://www.sm.luth.se/math/education/

Valid for the academic year 01/02.

Web Editor: Karin.Lindholm@dc.luth.se


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LULEÅ UNIVERSITY OF TECHNOLOGY
University Campus, Porsön, 971 87 Luleå. Tel. +46 (0) 920-91 000, fax +46 (0) 920-91 399
Last edited 2001-12-17