Gurantor department | Department of Applied Mathematics | Credits | 10 |

Subject guarantor | prof. RNDr. Jiří Bouchala, Ph.D. | Subject version guarantor | prof. RNDr. Jiří Bouchala, Ph.D. |

Study level | postgraduate | Requirement | Choice-compulsory |

Year | Semester | winter + summer | |

Study language | Czech | ||

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

Intended for the faculties | USP, FEI | Intended for study types | Doctoral |

Instruction secured by | |||
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Login | Name | Tuitor | Teacher giving lectures |

BOU10 | prof. RNDr. Jiří Bouchala, Ph.D. | ||

HAS35 | prof. RNDr. Jaroslav Haslinger, DrSc. | ||

KRU14 | prof. Ing. Jaroslav Kruis, Ph.D. | ||

LAM05 | doc. RNDr. Marek Lampart, Ph.D. |

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

Form of study | Way of compl. | Extent |

Full-time | Examination | 2+0 |

Combined | Examination | 10+0 |

The course aims at introducing the students in fundamentals of functional analysis. In order to solve a number of technical problems, it is necesarry to master this (rather technical) discipline.

Lectures

Project work

Within the course the students will be introduced in fundamental notions of functional analysis, which is a subject unifying results and methods of many classical mathematical disciplines (algebra, geometry, calculus). It identifies and emphasizes what they have in common and, further, it generalizes them. Functional analysis is involved in various parts of mathematics and its applications and it provides tools enabling to formulate as well as solve complex practical problems. The introduced abstract notions will be demonstrated at examples and applications.

E. Zeidler: Applied Functional Analysis, Springer-Verlag, New York, 1995.

P. Drábek, J. Milota: Methods of Nonlinear Analysis, Birkhauser Advanced Texts, Berlin, 2007

Individual work.

There are not defined other requirements for student.

Subject has no prerequisities.

Subject has no co-requisities.

- Metric space.
- Complete metric space.
- Banach Fixed Point Theorem.
- Banach space.
- Linear functionals.
- Weak convergence.
- Hilbert space.
- Riesz Theorem.
- Operators in Banach and Hilbert spaces.
- Gateaux derivative.
- Fréchet derivative.
- Extrema of functionals, critical points.

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

Examination | Examination |

Show history

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

2019/2020 | (P0713D060002) Electrical Engineering Science | P | Czech | Ostrava | Choice-compulsory type B | study plan | |||||

2019/2020 | (P0613D140005) Computer Science | P | Czech | Ostrava | Choice-compulsory type B | study plan | |||||

2019/2020 | (P0541D170005) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory type B | study plan | |||||

2019/2020 | (P0541D170005) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory type B | study plan | |||||

2019/2020 | (P0613D140005) Computer Science | K | Czech | Ostrava | Choice-compulsory type B | study plan | |||||

2019/2020 | (P0713D060002) Electrical Engineering Science | K | Czech | Ostrava | Choice-compulsory type B | study plan | |||||

2018/2019 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2018/2019 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2018/2019 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2018/2019 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2018/2019 | (P2658) Computational Sciences | (2612V078) Computational Sciences | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2018/2019 | (P2658) Computational Sciences | (2612V078) Computational Sciences | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2017/2018 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2017/2018 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2017/2018 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2017/2018 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2017/2018 | (P2658) Computational Sciences | (2612V078) Computational Sciences | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2017/2018 | (P2658) Computational Sciences | (2612V078) Computational Sciences | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2016/2017 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2016/2017 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2016/2017 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2016/2017 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2016/2017 | (P2658) Computational Sciences | (2612V078) Computational Sciences | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2016/2017 | (P2658) Computational Sciences | (2612V078) Computational Sciences | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2015/2016 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2015/2016 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2015/2016 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2015/2016 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2015/2016 | (P2658) Computational Sciences | (2612V078) Computational Sciences | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2015/2016 | (P2658) Computational Sciences | (2612V078) Computational Sciences | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2014/2015 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2014/2015 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2014/2015 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2014/2015 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2014/2015 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | English | Ostrava | Choice-compulsory | study plan | ||||

2013/2014 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2013/2014 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2013/2014 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2013/2014 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2012/2013 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2012/2013 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2012/2013 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2012/2013 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2011/2012 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2011/2012 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2011/2012 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2011/2012 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2010/2011 | (P2646) Information Technology | (1801V002) Computer Science and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2010/2011 | (P2646) Information Technology | (1801V002) Computer Science and Applied Mathematics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2010/2011 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2010/2011 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1801V001) Informatics | K | Czech | Ostrava | Choice-compulsory | study plan | ||||

2010/2011 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | P | Czech | Ostrava | Choice-compulsory | study plan | ||||

2010/2011 | (P1807) Computer Science, Communication Technology and Applied Mathematics | (1103V036) Computational and Applied Mathematics | K | Czech | Ostrava | 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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