Mathematics 2A for Electrical Engineering EE2208

Prerequisites

FB 1006 Mathematics 1

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.

Pensum