"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science

Ordinary differential equations and dynamical systems (1)
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
ME001
3
2+2+0
6
compulsory
Matematică
ME001
3
2+2+0
6
compulsory
Informatică
ME001
5
2+2+0
5
compulsory
Matematică-Informatică
ME001
5
2+2+0
6
compulsory
Matematica Economica
Teaching Staff in Charge
Prof. RUS Ioan, Ph.D., iarus@math.ubbcluj.ro
Prof. MICULA Gheorghe, Ph.D., ghmicula@math.ubbcluj.ro
Assoc.Prof. BEGE Antal, Ph.D., bege@math.ubbcluj.ro
Aims
Introduction to the basic problems of ordinary differential equations control paper (25 % of the final mark), written examination (40%) and oral examination (35%).
Content
1. Mathematical modelling and differential equations
2. Operatorial equations in metric spaces.
3. The Cauchy problem.
4. Solution set of a differential equation.
5. n-order linear differential equations
6. First order linear systems of differential equations
References
1. A. Rus, Ecuatii diferentiale, ecuatii integrale si sisteme dinamice (Transilvania Press, Cluj-Napoca, 1996).
2. A. Rus, P. Pavel, Ecuatii diferentiale, Ed. Didactica, Bucuresti, 1982.
3. V. Barbu, Ecuatii diferentiale, Ed. Junimea, Iasi, 1985.
4. D.V. Ionescu, Ecuatii diferentiale si integrale, Ed. Didactica, Bucuresti, 1972.
Assessment
Exam.