| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| FT 3290 | Functional Analysi | Үшінші курс | 5 | 150 | 1 | 2 |
The subject allows students to consider functionals, operators and the relationships connecting them, as well as to study objects in the aggregate, get acquainted with functional spaces and their transformations. Students to apply a single method in solving problems of algebra, differential, integral equations, equations of mathematical physics. The use of the modern app
Group work, work in pair, blitz-questions, critical thinking, brainstorming, developmental teaching method, poster protection, jigsaw method, creativity teaching methods, case-study method, group project work method, problem composition method, modular teaching technology.
The teacher of the subject can change the teaching methods, forms, type of control and amount of time for introducing specialized adaptation subjects (modules) for students with disabilities in cooperation with structural departments.
| 1 | -Uses classical methods of mathematics in solving fundamental and applied problems. (LO 7); |
| 2 | Uses methods of mathematical modeling to solve fundamental and applied practical problems(LO 8); |
| 3 | Solves the problem, correctly setting the performances of classical problems of fundamental mathematics;(LO 9); |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Linear spaces. Normalized linear space. | презентация |
| 2 | Linear spaces. Normalized linear space | Жазбаша |
| 3 | Complete metric spaces. The principle of compressive representations | презентация |
| 4 | Sets in metric spaces. Compact and subcompact sets. Euclidean space | презентация |
| 5 | Sets in metric spaces. Compact and subcompact sets. Euclidean space | Жазбаша |
| 6 | Hilbert space and its properties | презентация |
| 7 | Linear operators, their continuity and measureability in normalized linear spaces. Linear functionals | презентация |
| 8 | Linear operators, their continuity and measureability in normalized linear spaces. Linear functionals | презентация |
| 9 | Nodal space | презентация |
| 10 | Nodal operator. Knot operator in Hilbert space. Compact operators. The limit of a sequence of operators | презентация |
| 11 | Nodal operator. Knot operator in Hilbert space. Compact operators. The limit of a sequence of operators | Жазбаша |
| 12 | Some important theorems in normalized spaces | презентация |
| 13 | Banach's theorem on inverse operator and closed graph. Eigenelement and eigenvalue of linear operator. Resolventa. Spectrum of the operator. | презентация |
| 14 | Banach's theorem on inverse operator and closed graph. Eigenelement and eigenvalue of linear operator. Resolventa. Spectrum of the operator. | Жазбаша |
| 15 | The spectrum of a symmetric compact operator is the Hilbert-Schmidt theorem. | Жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | Blïev N.Q. Fwnkcïonaldıq analïz(qısqaşa kwrs): Oqwlıq. –Almatı : Qazaq wnïversïteti, 2014.-166 b. | |
| 2 | Nawrızbaev Q. Fwnkcïonaldıq analïz. –Almatı : FORTRESS,2007. | |
| 3 | Kolmogorov A.N., Fomin S.V. Elementy teorii funktsiy i funktsional'nogo analiza. –M.: FIZMATLIT, 2009. .-572 s. | |
| 4 | Abdïkalïkova Z.T., Ïbatov A. Fwnkcïonaldıq analïz päninen ädistemelik qural. –Astana : Gwmïlev atındağı EUW, 2007. – 102 b. | |
| 5 | Berdenova G.J., Mwtalïp S. Fwnkcïonaldıq taldawdıñ mısaldarı men esepteri: oqw-ädistemelik qural.– Qostanay, 2016. – 160 b. | |
| 6 | Glazyryna P.YU., Deykalova M.V.,Korkina L.F. Normirovannyye prostranstva.Tipovyye zadachi. Yekaterinburg. Izd.Ural'skogo universiteta.-2012. -108. | |
| 7 | Trenogin V.A., Pisarevskiy B.M., Soboleva T. S. Zadachi i uprazhneniya po funktsional'nomu analizu: Uchebnoye posobiye –2-ye izd. isp.i dop.M.: FIZMATLIT, 2005. -240 s. |