Course Description REA2002 - Mathematics 20 - Computer Science Mathematics (2005/2006)

The students shall be able to
- show knowledge and understanding of the course's subjects
- apply mathematical modeling in solving practical problems in technology
- use a mathematics software package (Maple) in problem solving and as a help in understanding concepts

Series: Geometric series, convergence, convergence criteria.
Power series: Taylor series, linearization.
Fourier series: Periodic functions with any given period, even and odd functions, Fourier series, half periodic extensions, frequency response.
Algorithms and recursion: Complexity, difference equations.
Graph theory: Directed and weighted graphs, matrix representation, trees.
Automata: Regular languages, finite automata, grammars.