Language of Instruction

English

Level of Course Unit

First Cycle

Department / Program

MATHEMATICS

Mode of Delivery

Face to Face

Type of Course Unit

Compulsory

Objectives of the Course

The aim of this course is to teach methods involving abstrack concepts; to teach finiteness and infiniteness notions; to teach countable and uncountable sets; to introduce cardinal numbers; to teach fundamentals of topological spaces and metric spaces.

Course Content

Division Algorithm, The Fundamental Theorem of Arithmetic, The Euclidean Algorithm, Counting Problems, The Binomial Theorem, Linear Recurrence Relations, Inclusion and Exlusion, Graph Terminology, The Degree of a Graph Vertex, The Handshaking Lemma, Graphs with Matrices, Eulerian and Hamiltonian paths in a graph.

Course Methods and Techniques


Prerequisites and corequisities

None

Course Coordinator

None

Name of Lecturers

Prof.Dr. Engin Büyükaşık enginbuyukasik@iyte.edu.tr

Assistants

None

Work Placement(s)

No

Recommended or Required Reading
Resources

Aldous & Wilson, Graphs and Applications : An Introductory Approach Kenneth Rosen, Discrete Mathematics and Its Applications









