Continuous Models and MATLAB

Course name

Code

CS2105O2

Class	Undergraduate, 2008 - 2011					Package	1
Level	Licenţă	Year	2	Semester	1	Status	Optional

Hours per week				Total hours per semester	Total hours of individual work	Credits	Evaluation type	Teaching language
C	S	L	Pr
2	0	2	0	56	64	5	M	ro

Taught by	Academic and scientific title, name
	Lecturer, PhD, Florin Iacob

Required courses

Objectives	The presentation of the basic concepts of mathematical modeling, mainly relied on differential equations and dynamical systems. The knowledge about MATLAB and its applications in the study of continuous mathematical models.
General thematics	Mathematical modeling ( generalities, basic notions and principles ). Discrete and continuous models ( description, main characteristics ). Differential equations and dynamical systems ( basis ). Some models governed by differential equations ( examples ). MATLAB ( foundations; important tools; programming environment ). The analysis of continuous models by MATLAB facilities.
Seminary / Laboratory thematics	Illustrated techniques of mathematical modeling. Simple classic and modern, discrete and continuous models (concrete presentation). Differential equations and dynamical systems (by means of practical exercises). Certain models based on differential equations (examples). MATLAB elements (computer applications). Mathematical modeling using MATLAB (laboratory activities).
Teaching methods	Theoretical exposition. Practical illustration. Heuristic procedures. Computerized analysis.

Bibliography

Isoc Dorin - The Practice of Computerized Mathematical Modelling of Dynamical Systems (in Romanian), Ed. Mediamira, Cluj-Napoca, 2001.
Popa Marin - The Basis of Computer Networks Modeling (in Romanian), Ed. Univ. Bucureşti, 2004.
F. Stănciulescu - The Modeling of the Great Complexity Systems (in Romanian), Ed. Tehnică, Bucureşti, 2003.
A.C. Fowler - Mathematical Models in the Applied Sciences, Cambrigde Text in Applied Mathematics, Cambridge University Press, 1997.
N. Gastinel - Mathématique pour l'informatique: Équations différentielles, Armand Colin séries, Paris, 1970.
A. Dumitrescu - MATLAB - Guide (in Romanian), Ed. Teora, Bucureşti, 2001.
D. Arnold - Ordinary Differential Equations using MATLAB, MathWorks (on line), 2005.
D. Arnold, J.C. Polking – Ordinary Differential Equations using MATLAB, MathWorks, 2009.

Evaluation	conditions	Full participation at the laboratory works.
	criterias	Course and seminary/laboratory frequency; Active presence at seminaries and laboratory works; Preparation of a project in a recommended domain; Individual MATLAB works achievements.
	modes	Marking by points the frequency at course ( PCF ), seminary ( PSF ) and laboratory ( PLF ) classes, the activity at seminaries ( PAS ) and laboratory works ( PALW ), the homeworks effectuation ( PHE ), the involving in the councelling programme ( PICP ) and the result at the two tests ( TS1, TS2 ).
	formula	FS = 60%PTS + 20%TS1 + 20%*TS2, where PTS = PCF + PSF + PAS + PLF + PALW + PHE + PICP ≥ 30. Final mark is established using FS, by the rules ECTS.

Faculty of
Computer Science