Gurantor department | Department of Applied Mathematics | Credits | 6 |

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

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

Year | 1 | Semester | winter |

Study language | Czech | ||

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

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

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

Login | Name | Tuitor | Teacher giving lectures |

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

VOD03 | doc. Mgr. Petr Vodstrčil, Ph.D. |

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

Form of study | Way of compl. | Extent |

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

Part-time | Credit and Examination | 10+10 |

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

Tutorials

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.

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

Podmínky udělení zápočtu:
Aktivní účast na cvičeních. Vyřešení zadaných problémů.

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.
Local and Global Extremes.

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

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

Exercises evaluation | Credit | 30 | 15 | |

Examination | Examination | 70 | 21 | 3 |

Show history

Conditions for subject completion and attendance at the exercises within ISP: Completion of all mandatory tasks within individually agreed deadlines

Show history

Academic year | Programme | Branch/spec. | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

2024/2025 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | MFA | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2024/2025 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | MFA | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2024/2025 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2024/2025 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2023/2024 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | MFA | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2023/2024 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | MFA | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2023/2024 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2023/2024 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2022/2023 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | MFA | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2022/2023 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | MFA | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2022/2023 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2022/2023 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2021/2022 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | MFA | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2021/2022 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2021/2022 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2021/2022 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | MFA | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2020/2021 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2020/2021 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2020/2021 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | MFA | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2020/2021 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2020/2021 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | MFA | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2020/2021 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | MFA | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | MFA | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2018/2019 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2018/2019 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2017/2018 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2017/2018 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2016/2017 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2016/2017 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2015/2016 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2015/2016 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2014/2015 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2014/2015 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2013/2014 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2013/2014 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2012/2013 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2012/2013 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2011/2012 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2011/2012 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2010/2011 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2010/2011 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 1 | Choice-compulsory | study plan |

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

2023/2024 Winter |

2022/2023 Winter |

2021/2022 Winter |

2020/2021 Winter |

2018/2019 Winter |

2017/2018 Winter |

2015/2016 Winter |

2013/2014 Winter |

2012/2013 Winter |