Engelska Studiehandboken kurser
Dept of Mathematics
MAM069 Linear Systems 6.0 ECTS credits
DENNA SIDA FINNS OCKSÅ PÅ SVENSKA
General information about studying at Luleå university
TIMEPERIOD:
LANGUAGE: Swedish
EXAMINER
R Näslund Univ adj
PREREQUISITES
MAM045 (MAM047)
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.
z-transforms
Definition and basic properties.
TEACHING
EXAMINATION
COURSE GRADE SCALE: A - F
ITEMS/CREDITS
Written exam 6.0ECTS
COURSE LITTERATURE
(all in Swedish)
Spanne: Föreläsningar i Lineära system, KF SIGMA, Lund.
Spanne: Övningar i Lineära system.
Daho: Kompendium i Laplacetransform, Lintek, Linköping.
Löfström: Diskreta transformer, CTH.
Stenciler.
REMARKS
Last modified : 97-09-25
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