| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| OTN 6312 | Theory of Operators | төртінші курс | 5 | 150 | 1 | 2 |
The discipline explains that it is a field that studies functions and operators in functional spaces, as well as methods for applying information about these objects to specific tasks. Students apply the basic concepts of the theory of linear operators, modern applications of functional analysis and worldviews of the theory of linear operators in solving fundamental mathematical problems
Group work, discussion, blitz-questions, critical thinking, brainstorming, case study, development teaching method, poster protection, jigsaw method, creative teaching methods, modular teaching technology.
The teacher of the subject can change the teaching methods, forms, type of control and amount of time of introduction of specialized adaptation subjects (modules) for students with disabilities in cooperation with structural departments.
| 1 | Apply the theoretical knowledge gained in fundamental mathematics to the description of processes and phenomena in various fields of mathematics (LO6); |
| 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 | Examples of basic functional spaces. | Жазбаша |
| 2 | Concepts of the Lebesgue integral. S.L. Sobolev space. | презентация |
| 3 | Interior spaces. Separable spaces. | Жазбаша |
| 4 | Operator definition. Linear operators | презентация |
| 5 | Linear measured operators. | презентация |
| 6 | The space of linearly measured operators. | Жазбаша |
| 7 | Continuation of linear operators by continuity. | презентация |
| 8 | Linear functionals. | Жазбаша |
| 9 | Inverse operators. | презентация |
| 10 | Contraction and expansion of linear operators. | презентация |
| 11 | Closed operators. | презентация |
| 12 | Closure of differential operators in the space of functions whose squares are added in the interval. | презентация |
| 13 | A general understanding of strong calculus solutions. | Жазбаша |
| 14 | Seven continuous operators. | презентация |
| 15 | Voltaire operators. | 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. |