"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
Matematici aplicate
Teaching Staff in Charge
Prof. PRECUP Radu, Ph.D.,  r.precupmath.ubbcluj.ro
Prof. PETRUSEL Adrian Olimpiu, Ph.D.,  petruselmath.ubbcluj.ro
Assoc.Prof. BEGE Antal, Ph.D.,  begemath.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.