# Mathematics 2A for Electrical Engineering EE2208

## Course Objectives

The students will:

- become familiar with the definitions and concepts of Laplace transformations.
- be able to use Laplace transformations as a method of solving ordinary differential equations and systems of such equations.
- know the definitions and concepts related to Fourier series.
- be able to develop functions in Fourier series.
- be conversant with definitions and concepts related to multi-variable functions.
- be able to use the theory of multi-variable functions in connection with, among other uses, error calculations and extremalisation.
- be able to use the computer program Maple for all types of calculations and graphics in connection with exercises.

## Course Description

*Laplace transformations:* Transformation equations, convolution, transformation of periodic functions. Impulses. Dirac’s delta function:

*Fourier series:* Orthogonality, periodic functions, Fourier sinus series and Fourier cosine series. Half-periodic expansions.

*Functions of several variables:* Partial derivatives. Classification of critical points. Differentials and finite differences. Error calculations.

## Learning Methods

Lectures and exercises.

## Assessment Methods

Periodic tests which count for 40% and a final examination which counts for 60% of the total grade for the course.

During examinations, all printed and written aids, as well as laptops and calculators will be permitted.

*Minor adjustments may occur during the academic year, subject to the decision of the Dean*

Publisert av / forfatter Ian Harkness <Ian.HarknessSPAMFILTER@hit.no>, last modified Ian Hector Harkness - 20/03/2008