Modelling in engineering

Draft of subject contents 

Introduction to mathematical modeling of technical systems. Models based on ordinary differential equations (ODE). Initial and boundary condition problem solving. Dynamical systems. Dynamical systems solving methods. Models based on partial differential equations (PDE). Applications on viscous fluid flow, steady heat transfer, conservation laws, open channel flow, gas dynamics.  

Developing of general and specific competences (knowledge and skills) 

Knoledge: mathematical model definition in engineering practice;  typical engineering application problem model application and problem solving. Skills: relevant method application for specific problem solving. Specialized  software use. 

Forms of tuition performing and manner of knowledge checking 

Tuition performing: lectures, exercises, independent work, and consultations. Manner of knowledge checking: class participation, seminar paper. 

List of literature needed for studies and sitting for an examination 

Chapra S. C., Channale R. P., Numerical methods for engineers, McGrowHill Inc., 1988 

List of literature that is recommended as supplemental 

Lectures handout. 

ECTS credits attributed to subject and corresponding explanation 

5 ECTS. Lecture attendence 30%, exercise attendence 30%, seminar paper writing 40%. 

Manner of sitting for an examination 

Seminar paper. 

Manner of quality inspection and efficiency of subject performing 

Control of the regularity of class performing and  attendance. Continuous dialog with students and inquires about course. Quality control of seminar papers. 

Prerequisites for subject enrolling

No prerequisites. 

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