Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 5 |

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

Study level | undergraduate or graduate | Requirement | Choice-compulsory |

Year | 3 | Semester | summer |

Study language | Czech | ||

Year of introduction | 1999/2000 | Year of cancellation | 2010/2011 |

Intended for the faculties | HGF | Intended for study types | 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 | 3+2 |

Students learn structural approach to mathematical formulation and solving of problems in mathematical physics, namely
to analyze given problem and formulate mathematical task,
to choose and correctly use appropriate mathematical method.
Mathematical tools of vector analysis and partial differential equations are emphasized.

Lectures

Individual consultations

Tutorials

Project work

Mathematical modelling of physical and engineering problems. Classical methods
of the solution are based on Fourier series and integral transforms.
Main topics:
- principles of mathematical modelling,
- first order partial differential equations (PDE), method of the
characteristics,
- boundary problems of second order PDE.

KEENER, J.P.: Principles of Applied Mathematics. Adison-Wesley Publ., 1988

JAMES, G.: Advanced Modern Engineering Mathematics. Adison-Wesley Publ., 1995 (2.díl)
MATHEMATICAL MODELLING (Ed. M.S. Klamkin). SIAM, 1989
FRIEDMAN, A. - LITTMAN, W.: Industrial Mathematics. SIAM, 1994

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

Subject has no prerequisities.

Subject has no co-requisities.

1. Mathematical modeling of engineering problems: general principles, classification and mathematical formulation.
2. 1st order PDE: Cauchy problem, method of characteristics.
3. 2nd order PDE: Cauchy problem, boundary problems and theit typology.
4. Elliptic equations Laplace and Poisson eq., Fourier separation,conformal mapping and complex potential.
5. Parabolic equations: transport and relaxation problems, applications of integral tansforms.
6. Hyperbolic equations: harmonic oscilations, wave equation, eigenvalue spectrum.
7. Existence and uniqueness of solution.

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 |

Examination | Examination | 60 (60) | 0 |

Obhajoba projektu | Semestral project | 50 | 25 |

Teorie | Oral examination | 10 | 0 |

Exercises evaluation | Credit | 40 (40) | 0 |

Písemný test | Written test | 40 | 26 |

Show history

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

2004/2005 | (M2102) Mineral Raw Materials | (3911T001) Applied Physics of Materials | P | Czech | Ostrava | 3 | Choice-compulsory | study plan | |||

2003/2004 | (M2102) Mineral Raw Materials | (3911T001) Applied Physics of Materials | P | Czech | Ostrava | 3 | Choice-compulsory | study plan | |||

2002/2003 | (M2102) Mineral Raw Materials | (3911T001) Applied Physics of Materials | P | Czech | Ostrava | 3 | Choice-compulsory | study plan | |||

2001/2002 | (M2102) Mineral Raw Materials | (3911T001) Applied Physics of Materials | P | Czech | Ostrava | 3 | Choice-compulsory | study plan | |||

2000/2001 | (M2102) Mineral Raw Materials | (3911T001) Applied Physics of Materials | P | Czech | Ostrava | 3 | Choice-compulsory | study plan |

Block name | Academic year | Form of study | Study language | Year | W | S | Type of block | Block owner |
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