Information sheet ECTS Syllabus
Course syllabus D1-FA - Functional analysis (FCE - 2018/2019 - post-graduate studies)
|University:||Slovak University of Technology in Bratislava|
|Faculty:||Faculty of Civil Engineering|
|Course unit code:||D1-FA|
|Course unit title:||Functional analysis|
|Mode of delivery, planned learning activities and teaching methods:|
|Recommended semester/trimester:||Applied Mathematics - doctoral (semi-compulsory), 1. year|
Applied Mathematics (in english language) - doctoral (semi-compulsory), 1. year
|Level of study:||3.|
|Prerequisites for registration:||none|
|Correct elaboration of all given tasks, exam.|
|Learning outcomes of the course unit:|
|The student gains knowledge of Hilbert space theory, theory of linear and metric spaces, theory of linear operators and functionals, Sobolev functional spaces. He will be familiar with 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.
- Ritz and Galerkin method.
|Recommended or required reading:|
|Language of instruction:||slovak and english or english|
|Assessed students in total: 3|
|Name of lecturer(s):||doc. RNDr. Angela Handlovičová, PhD. (examiner, instructor, lecturer, tutor) - slovak, english |
prof. RNDr. Karol Mikula, DrSc. (person responsible for course)
|Last modification:||31. 8. 2015|
|Supervisor:||prof. RNDr. Karol Mikula, DrSc. and programme supervisor|
Last modification made by Ing. Peter Korčák on 08/31/2015.