Mathematics 20 - Electrical Engineering Mathematics
2010-2011 - REA2051 - 10 ECTS

On the basis of

The courses REA1042 Matematikk 10 and REA1051 Matematikk 15

Expected learning outcomes

The student shall gain familiarity with some basic concepts, types of problems and methods of solution needed for technical applications.

Topic(s)

The Laplace transform:
Definition and properties of the Laplace transform, inverse Laplace transforms, solving linear differential equations, transfer functions and block diagrams, dynamic modelling, poles and zeros in the s plane, frequency response.

Difference equations:
Sequences, definitions, general and numeric solutions, block diagrams.

The z transform:
Definition and properties, sampling, inversion of z transforms, solving difference equations.

Series:
Geometric series, power series, Taylor series, series convergence, convergence tests

Fourier series:
Periodic functions, trigonometric functions, Fourier series, odd and even functions, half-range periodic extension

Functions of several variables:
Graphs, partial derivatives, finding maximum and minimum points, total differential.

Teaching Methods

Lectures
Exercises

Form(s) of Assessment

Written exam, 4 hours

Grading Scale

Alphabetical Scale, A(best) – F (fail)

External/internal examiner

All student works is evaluated by the internal examiner.

An external examiner will be used periodicaly (every 3 to 4 years)

Re-sit examination

A re-sit examination will be held if necessary.

Examination support

Approved calculator.

Haugan, J. Tabeller og formelsamling. NKI-forlaget. ISBN 82-562-2483-5

Coursework Requirements

None

Teaching Materials

Croft, Davison, Hargreaves: Engineering Mathematics. Prentice Hall. ISBN 0 130 26858 5

Lorentzen, Hole, Lindstrøm: Kalkulus med en og flere variable, Universitetsforlaget. ISBN 82-00-42433-2

Hans Engenes: "Om periodiske funksjoner og Fourierrekker" (free paper)

All written material published on the homepage of the course. ( http://www2.hig.no/at/realfag/matematikk/Ma20-Elektro/ )