Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 6 |

Subject guarantor | Mgr. Jiří Vrbický, Ph.D. | Subject version guarantor | Mgr. Jiří Vrbický, Ph.D. |

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

Year | 1 | Semester | winter |

Study language | Czech | ||

Year of introduction | 2019/2020 | Year of cancellation | |

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

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

Login | Name | Tuitor | Teacher giving lectures |

VRB50 | Mgr. Jiří Vrbický, Ph.D. |

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

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 3+2 |

Combined | Credit and Examination | 20+0 |

The goal of mathematics is train logical reasoning than mere list of mathematical notions, algorithms and methods.
Students should learn how to:
analyze problems, suggest a method of solution, analyze correctness of achieved results with respect to given conditions, aply these methods while solving technical problems.

Lectures

Individual consultations

Tutorials

Other activities

The course includes the function of a complex variable, the ground of the
operational or tensor calculus and equation of mathematical physics. The emphasis will be on the lectured methods application to the model tasks.

[1] James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992. ISBN 0-201-1805456

[1] James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993. ISBN 0-201-56519-6

Course-credit
-participation on tutorials is obligatory, 20% of absence can be apologized,
-elaborate programs,
-pass the written tests,
Point classification: 5-20 points.
Exam
Practical part of an exam is classified by 0 - 60 points. Practical part is successful if student obtains at least
25 points.
Theoretical part of the exam is classified by 0 - 20 points. Theoretical part is successful if student obtains
at least 5 points.
Point quantification in the interval 100 - 91 90 - 81 80 - 71 70 - 61 60 - 51 50 - 0
ECTS grade A B C D E F
Point quantification in the interval 100 - 86 85 - 66 65 - 51 51 - 0
National grading scheme excellent very good satisfactory failed

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No special requirements.

Subject has no prerequisities.

Subject has no co-requisities.

1. Complex numbers. Infinite complex number series.
2. Complex functions of a complex variable and mappings. Elementary functions of complex variable.
3. Complex differentiation. Cauchy - Riemann equations.
4. Integration of complex variable function. Cauchy´s theorems. Taylor´s and Laurent´s series.
5. Singularities,residues, applications. Tensor algebra. Scalar, vector, tensor. Operations.
6. Vector’s differential operations, properties. Tensor’s operations, properties.
7. Tensor’s differential operations. Base line, invariants.
8. Field theory. Scalar and vector field. Gradient, divergence, rotation. Gauss theorem.
9. Equations of mathematical physics. 2nd order partial linear differential equations.
10. Fourier’s method of solution.
11. Solution of the heat-conduction: one dimensional heat conduction equation.
12. Combination of variable method. Green’s function method.
13. Finite diference method. Explicit method. Implicite method. Crank-Nicolson method. Process stability, process konvergence.
14. Reserve.

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

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

Credit | Credit | 20 | 5 |

Examination | Examination | 80 (80) | 30 |

písemka | Written test | 60 | 25 |

teorie | Oral examination | 20 | 5 |

Show history

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

2019/2020 | (N3923) Materials Engineering | (3911T036) Advanced Engineering Materials | K | Czech | Ostrava | 1 | Choice-compulsory | study plan | |||

2019/2020 | (N3922) Economics and Management of Industrial Systems | (3902T042) Automation and Computing in Industrial Technologies | K | Czech | Ostrava | 1 | Choice-compulsory | study plan | |||

2019/2020 | (N3922) Economics and Management of Industrial Systems | (3902T042) Automation and Computing in Industrial Technologies | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | |||

2019/2020 | (N3923) Materials Engineering | (3911T036) Advanced Engineering Materials | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | |||

2019/2020 | (N3923) Materials Engineering | (3911T033) Material Recycling | P | Czech | Ostrava | 1 | 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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