330-0534/01 – Mathematics on Background Engineering Tasks (MnPIU)
Gurantor department | Department of Applied Mechanics | Credits | 4 |
Subject guarantor | doc. Ing. Martin Fusek, Ph.D. | Subject version guarantor | doc. Ing. Martin Fusek, Ph.D. |
Study level | undergraduate or graduate | Requirement | Compulsory |
Year | 1 | Semester | winter |
| | Study language | Czech |
Year of introduction | 2020/2021 | Year of cancellation | |
Intended for the faculties | FS | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
Learning outcomes of the course unit The aim of the course is to extend students' knowledge of practical use of mathematics in their study and subsequent engineering practice.
Teaching methods
Lectures
Tutorials
Summary
Successful solution of the problems arising in engineering requires anunderstanding of relevant mathematics. The students will learn about basic tools and their applications for the solution of such problems.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
The student will develop a program and write a credit test.
E-learning
Other requirements
Additional requirements for students are not.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Numerické řešení nelineárních úloh.
2. Některé okrajové úlohy pro obyčejné diferenciální rovnice 2. stupně.
3. Síťová diskretizace.
4. Zavedení okrajových podmínek.
5. Variační formulace okrajových úloh .
6. Diskretizace založená na variační formulaci.
7. Kolokace, Ritzova metoda, Galerkinova metoda.
8. Metoda konečných prvků.
9. Vlastnosti matic a finitní metody řešení diskretizovaných soustav
10. Variační nerovnice a jejich diskretizace.
11. Numerické řešení variačních nerovnic.
12. Hraniční integrální rovnice
13. Metoda hraničních prvků pro modelovou úlohu.
14. Software
Conditions for subject completion
Conditions for completion are defined only for particular subject version and form of study
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction