Integral Calculus and Laplace Transforms (MATLC0128), 5 op

Perustiedot

Esitietovaatimukset

MATLC0020 Basic Course of Mathematics

Sisältö (ydinaines ja -osaaminen)

IIntegral function and definite integral, simple integral formulas, application to areas, volumes and circuit analysis. Mean and rms values of functions. Laplace transform and inverse transform with applications to differential equations, in particular circuit problems. Unit impulse, step and ramp functions.

Sisältö (täydentävä ja erityisosaaminen)

Integration by parts and substitution. Numerical methods, arc length, moments and centre of gravity. Laplace transform of piecewise defined functions, complicated circuits. Transfer function and stability, convolution.

Tiedolliset oppimistulokset (ydinaines ja -osaaminen)

After completion of this course the student understands the meaning of integration and knows the most important applications. The student knows the Laplace transform and its basic rules and their applications. The student knows the correspondence of circuit elements in time domain and s-domain and understands the difference between stationary and transient solutions.

Taidolliset oppimistulokset (ydinaines ja -osaaminen)

After completion of this course the student is able to calculate simple integrals and use them in applications. The student can do the Laplace transform and inverse transform of simple expressions and use them in the analysis of circuit problems, at least series and parallel connections of two impedances.

Kirjallisuus ja muu materiaali

Croft ? Davison ? Hargreaves: Engineering Mathematics

Opetusmenetelmät

Lectures and presentations
laboratory assignments
examinations
homework and self-study

Opiskelijan kuormittavuus

Tentti - 6
Luennot ja tuntiharjoitukset - 49
Itseopiskelu - 51
Laboratoriotyöt - 14

Arvioinnin perusteet

Examinations (40 % of maximal points) and computer assignments

Koulutusohjelmakohtaiset kompetenssit

Teoreettinen perusta ja matemaattis-luonnontieteelliset valmiudet (T)