Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 3 |

Subject guarantor | doc. RNDr. Jaroslav Vlček, CSc. | Subject version guarantor | doc. RNDr. Jaroslav Vlček, CSc. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | winter |

Study language | Czech | ||

Year of introduction | 2013/2014 | Year of cancellation | |

Intended for the faculties | USP, HGF, FMT | Intended for study types | Master, Follow-up Master |

Instruction secured by | |||
---|---|---|---|

Login | Name | Tuitor | Teacher giving lectures |

VLC20 | doc. RNDr. Jaroslav Vlček, CSc. |

Extent of instruction for forms of study | ||
---|---|---|

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 2+2 |

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.

Lectures

Individual consultations

Tutorials

Project work

The topic offers a complex view on mathematical modeling of physical states and
processes with emphasized orientation to the problems described by differential
equations. Applications are devoted to the solving of real problems comming out
from engineering praxis in regard to prevailing student specialization. The use of mathematical software is assumed,e.g. MATLAB.

Vlček, J.: Mathematical modeling, http://homen.vsb.cz/~vlc20/
Mathematical Modelling (Ed. M.S. Klamkin). SIAM, 1989.

Friedman, A. - Littman, W.: Industrial Mathematics. SIAM, 1994.
Mathematical Modeling with Multidisciplinary Applications. Edited by Xin-She Yang, John Wiley & Sons, Inc., UK, 2013

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 25 – 50 points.
Theoretical part of the exam is classified by 0 - 20 points.

www.mdg.vsb.cz

Elaboration of semestral project

Subject has no prerequisities.

Subject has no co-requisities.

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. Corectness of mathematical model.
6. One-dimensional stationary states.
7. Multi-dimensional stationary states.
8. PDE of second order: classification, Fourier method.
9. Non-stationary processes - one-dimensional case.
10. First order PDE. Method of characteristics.
11. Initial problems for multivariate problems.
12. Facultative themes

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points |
---|---|---|---|

Exercises evaluation and Examination | Credit and Examination | 100 (100) | 51 |

Exercises evaluation | Credit | 30 | 10 |

Examination | Examination | 70 | 21 |

Show history

Academic year | Programme | Field of study | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

2019/2020 | (N3942) Nanotechnology | (3942T001) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2018/2019 | (N3942) Nanotechnology | (3942T001) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2017/2018 | (N3942) Nanotechnology | (3942T001) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2016/2017 | (N3942) Nanotechnology | (3942T001) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2015/2016 | (N3942) Nanotechnology | (3942T001) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2014/2015 | (N3942) Nanotechnology | (3942T001) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2014/2015 | (N3942) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2013/2014 | (N3942) Nanotechnology | (3942T001) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan |

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