Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Master
SUBJECT
| MME1014 | Topics in Applied Mathematics (for teachers education) |
| Teaching Staff in Charge |
Prof. TRIF Damian, Ph.D., dtrif math.ubbcluj.roAssoc.Prof. SZENKOVITS Ferenc, Ph.D., fszenko math.ubbcluj.ro |
| Aims |
|
The course aims to improve the capability to analyze the real world phenomena by mathematical modellind, to rigorously analyze models and to obtain the qualitative and quantitative information by numerical calculus. |
| Content |
|
1. Modelling by differential and partial differential equations
2. Eficient methods for differential problems 3. Numerical methods in dynamical systems 4. Nonlinear phenomena 5. Inverse problems |
| References |
|
1. Trif D., Metode numerice pentru ecuaţii diferenţiale şi sisteme dinamice, Casa de editură Transilvania Press, Cluj, 1997
2. Gheorghiu C. I., Metode numerice pentru sisteme dinamice, Casa Cărţii de Stiinţă, Cluj-Napoca, 2004 3. Byström J, Persson L.-E., Strömberg F., A basic course in applied mathematics, curs web, http://www.sm.luth.se/~johanb/applmath/indexen.htm 4. Trif, D., Teme de matematică aplicată (pentru profesori), curs extins web. 5. L. Debnath, Nonlinear partial differential equations, Birkhäuser, 1997 |
| Assessment |
|
Midterm exam (theory + matlab code) 30%
Final written exam (theory) 60% |
| Links: | Syllabus for all subjects Romanian version for this subject Rtf format for this subject |