Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Combinatorial matrix theory (17.DOM31Z)

Native organizations units: No data

Type of studies	Title
Doctoral Academic Studies	Mathematics in Engineering (Godina: 2, Winter)

General information:

Category	Scientific-professional
Scientific or art field	Teorijska i primenjena matematika
Interdisciplinary	Yes
ECTS	10

Educational goal:

Students are introduced to combinatorial (graph) aspects of matrix theory which contributes to better understanding of the theory and enables the students to learn about different graph theory and matrix theory which have interesting applications.

Educational outcome:

General mathematical subjects from the first two years of study.

Course content:

Review of some elementary concepts in linear algebra with combinatorial approach. Matrix operations. Powers of matices. Determiners. Cofactors and invertible matrix. Solving a system of linear algebra equations using graphs. Matrix eigenvalue. Combinatorial proof of Cayley-Hamilton theorem. Finding the Jordan canonical form of a matrix. Nonnegative matices. Reducible and irreducible matrices. Signal flow graph techniques. Mathematical fundamentals and application in system theory and electric circuit theory. Applications in physics and chemistry. Membrane movement. Huckel theory of unsaturated carbohydrogen.

Teaching methods:

Consultations with the subject teacher using email address ecvetkod ecvetkod@etf.bg.ac.yu Contact in person with the course teacher can be arranged. Part of the course is available on electronic slides.

Literature:

Authors	Title	Year	Publisher	Language
Brualdi R.A., Cvetković D.	A Combinatorial Approach to Matrix Theory and Its Applications	2008	CRC Press, Boca Raton	English
Cvetković, D.	Kombinatorna teorija matrica : sa primenama u elektrotehnici, hemiji i fizici	1980	Naučna knjiga, Beograd	Serbian language