Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Master

SUBJECT

Code
Subject
MME1014 Topics in Applied Mathematics (for teachers education)
Section
Semester
Hours: C+S+L
Category
Type
Didactic Mathematics
3
2+2+1
speciality
compulsory
Teaching Staff in Charge
Prof. TRIF Damian, Ph.D.,  dtrifmath.ubbcluj.ro
Assoc.Prof. SZENKOVITS Ferenc, Ph.D.,  fszenkomath.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