Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 4 |

Subject guarantor | Mgr. Zuzana Morávková, Ph.D. | Subject version guarantor | Mgr. Zuzana Morávková, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 3 | Semester | summer |

Study language | English | ||

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

Intended for the faculties | FS | Intended for study types | Bachelor |

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

Login | Name | Tuitor | Teacher giving lectures |

KUC14 | prof. RNDr. Radek Kučera, Ph.D. | ||

MOR74 | Mgr. Zuzana Morávková, Ph.D. |

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

Form of study | Way of compl. | Extent |

Full-time | Graded credit | 2+2 |

The aim of this course is to acquaint students with the numerical solution of mathematical problems that arise in the other courses of their study and in the technical practice. The main accent lays in explanations of fundamental principles of numerical methods with emphases their general properties. It should lead to the ability in concrete situations to decide whether a numerical procedure is a suitable tool for solving a particular problem. An important ingredient of the course consists in the algorithmic implementation of methods and in the utilization of existing computer programs specialized for numerical computations.
The graduate of this course should know:
• to recognize problems suitable for solving by numerical procedures and to find an appropriate numerical method;
• to decide whether the computed solution is sufficiently accurate and, in case of need, to assess reasons of inaccuracies;
• to propose an algorithmic procedure for solving the problem and to choice a suitable computer environment for its realization.

Lectures

Individual consultations

Tutorials

Other activities

The course is devoted to basic numerical methods of the linear algebra and mathematical analysis: iterative methods for solving of nonlinear equations, direct and iterative methods for solving of linear systems, eigenvalue problems, interpolation and approximation of functions, numerical computation of derivatives and integrals, solving of ordinary differential equations. The programming system Matlab is used during the course.

1. Boháč, Z.: Numerical Methods and Statistics. VŠB-TU Ostrava, 2005.
ISBN 80-248-0803-X

1. Qaurteroni, A., Sacco, R., Saleri, F.: Numerical Mathematics. Springer, 2007, ISBN 978-3-540-34658-6.
2. Süli, E., Mayers, D.: An introduction to Numerical Analysis. Cambridge University Press, 2003, ISBN 0-521-00794-1.
3. Van Loan, C. F.: Introduction to scientific computing. Prentice Hall, Upper
Saddle River, NJ 07459, 1999, ISBN-13: 9780139491573.

Homeworks, tests.

Students have to know lessons Math I and Math II.

Subject code | Abbreviation | Title | Requirement |
---|---|---|---|

310-2111 | MI | Mathematics I | Recommended |

310-2112 | MII | Mathematics II | Recommended |

Subject has no co-requisities.

1. Introduction (precisions, methods)
2. Interpolation and splines
3. Least square method
4. Roots finding (bisection method, Newton's .method)
5. Linear solver (Lu-factorization)
6. Iteratice methods for linear equations
7. Numerical intergrations
8. ODE solver

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

Graded credit | Graded credit | 100 | 51 |

Show history

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

2019/2020 | (B2341) Engineering | (3902R001) Applied Informatics and Control | P | English | Ostrava | 3 | Compulsory | study plan | ||||

2019/2020 | (B2341) Engineering | (3907R009) Operation of Energy Equipment | P | English | Ostrava | 3 | Compulsory | study plan | ||||

2019/2020 | (B2341) Engineering | (2303R002) Mechanical Engineering Technology | P | English | Ostrava | 3 | Compulsory | study plan | ||||

2019/2020 | (B2341) Engineering | (2301R013) Robotics | P | English | Ostrava | 3 | Compulsory | study plan | ||||

2019/2020 | (B2341) Engineering | (3901R003) Applied Mechanics | P | English | Ostrava | 3 | Compulsory | study plan | ||||

2019/2020 | (B0715A270012) Engineering | P | English | Ostrava | 3 | Compulsory | study plan | |||||

2019/2020 | (B0713A070003) Energetics and Environments | P | English | Ostrava | 3 | Compulsory | study plan |

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