714-0432/04 – Mathematical Modelling (MM)
| Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 4 |
| Subject guarantor | doc. RNDr. Jaroslav Vlček, CSc. | Subject version guarantor | doc. RNDr. Jaroslav Vlček, CSc. |
| Study level | undergraduate or graduate | | |
| | Study language | English |
| Year of introduction | 2016/2017 | Year of cancellation | 2018/2019 |
| Intended for the faculties | FEI | Intended for study types | Follow-up Master, Master |
Subject aims expressed by acquired skills and competences
Students learn structural approach to mathematical formulation of engineering problems. They shlould know how
to analyze given problem,
to formulate mathematical task,
to choose and correctly use appropriate mathematical method.
Teaching methods
Lectures
Individual consultations
Tutorials
Project work
Summary
The topic offers unified view on mathematical modelling of physical states and
processes aimed at problems described by differential equations. The
applications are concerned in the solving of real engineering problems with
regard to preferences in students interess.
Compulsory literature:
Mathematical Modelling (ed. M. S. Klamkin). SIAM, 1989
Mathematical Modeling with Multidisciplinary Applications. Edited by Xin-She Yang, John Wiley & Sons, Inc., UK, 2013
Recommended literature:
Friedman, A. - Littman, W.: Industrial Mathematics. SIAM, 1994
Way of continuous check of knowledge in the course of semester
Course-credit:
-participation on tutorials is obligatory, 20% of absence can be apologized,
-pass the written test (30 points),
Point classification: 0-30 points.
Exam
Semestral thesis classified by 50 points.
Theoretical 20 points
E-learning
mdg.vsb.cz
Other requirements
For additional requirements see www.mdg.vsb.cz
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Principles of mathematical modeling
2. State, flow, material and source quantities
3. Basic relations: balance and constitutive
4. Local and global balance.
5. Classification of boundary problems
6. Corectness of mathematical model
7. One-dimensional stationary states
8. Multi-dimensional stationary states.
9. Non-stationary processes - one-dimensional case
10. Initial problems for multivariate problems
11.-13. Facultative themes
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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