Information sheet ECTS Syllabus
Course syllabus B1-FUA - Functional analysis (FCE - WS 2019/2020)
|University:||Slovak University of Technology in Bratislava|
|Faculty:||Faculty of Civil Engineering|
|Course unit code:||B1-FUA|
|Course unit title:||Functional analysis|
|Mode of delivery, planned learning activities and teaching methods:|
|Recommended semester/trimester:||Mathematical and Computational Modeling - bachelor (compulsory), 5. semester|
|Level of study:||1.|
|Prerequisites for registration:||passed Ordinary differential equations (B1-ODR) and passed Partial differential equations (B1-PDR)|
|Correct elaboration of two given tests.|
Minimum of 56 points obtained at the exam.
|Learning outcomes of the course unit:|
|The lectures consist of explaining the main results of Hilbert space theory, theory of linear and metric spaces, then theory of linear operators and functionals following by Sobolev functional spaces. Second part is devoted to the theory of variational formulation of elliptic boundary value problems, existence theory of variational solutios and convergence of numerical solutions.|
|- Hilbert, linear, norm and metric spaces.
- Linear operators and functionals, their properties, Riesz theorem, Minima quadratic functional theorem.
- Sobolev spaces, traces.
- Variational formulation of elliptic boundary value problems.
- Existence of variational solutions for elliptic problems, Lax-Milgram theorem.
|Recommended or required reading:|
|Language of instruction:||slovak or english|
|Assessed students in total: 30|
|Name of lecturer(s):||doc. RNDr. Angela Handlovičová, PhD. (examiner, instructor, lecturer, person responsible for course, tutor) - slovak, english |
Ing. Matej Medľa, PhD. (examiner, instructor)
Ing. Mgr. Lukáš Tomek, PhD. (examiner, instructor)
|Last modification:||28. 2. 2019|
|Supervisor:||doc. RNDr. Angela Handlovičová, PhD. and programme supervisor|
Last modification made by Ing. Peter Korčák on 02/28/2019.