Subject: Differential Equations and Dynamical Systems (1)	Code: ME001	

Semester	 Hours: C+S+L	Type	 Section	
5	2+2+0	compulsory	Mathematics-Computer Science	
5	2+2+0	compulsory	Applied Mathematics	

Teaching Staff in Charge	Prof. PRECUP Radu, Ph.D., r.precup@math.ubbcluj.ro
Assoc.Prof. BUICA Adriana, Ph.D., abuica@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 equation	
Selective 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