A. I. Cuza University of Iaşi

Continuous Models and MATLAB

Course nameContinuous Models and MATLAB CodeCS2105O2
Class Computer Science, 2007 - 2010 Package 1
Level Undergraduate Year 2 Semester 1 Status Optional
Hours per weekTotal hours per semesterTotal hours of individual workCreditsEvaluation typeTeaching language
CSLPr
2 0 2 0 56 94 5 E ro
Taught byAcademic 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 thematicsMathematical 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 thematicsIllustrated 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 methodsTheoretical 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.
  • J.C. Polking
EvaluationconditionsFull participation at the laboratory works.
criteriasCourse frequency; Active presence at seminaries and laboratory works; Preparation of a project in a recommended domain; Individual MATLAB works achievements.
modesPeriodical verification of home works; Estimation of projects and MATLAB works; Written examination during the semester.
formulaNF = MIN (10; ROUNDUP (PP + ER + LM + 2,2 * NL / 10) ), where 0 ≤ PP ≤ 4,2; 0 ≤ ER ≤ 2,4; 0 ≤ LM ≤ 1,2.
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