(in Polish) Erasmus+ sem. letni (course group defined by Faculty of Mathematics)
Key
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2023 - Academic year 2023/2024 2024 - Academic year 2024/2025 (there could be semester, trimester or one-year classes) |
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2023 | 2024 | |||||||
360-MS2-1AFa | n/a |
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Classes
Academic year 2024/2025
Groups
Brief description
(in Polish) Normed spaces. Banach spaces, completion, subspaces, quotient spaces. Classic Banach spaces. Bounded operators, the dual space. Hilbert spaces. Orthogonal projection - existence and uniqueness. Theorem on the form of a linear and bounded functional on a Hilbert space. Orthogonal basis. Hilbert space dimension. Operators in Hilbert spaces, adjoint operators, classes of operators. Hahn-Banach theorem, reflexive spaces. Dual spaces to classic Banach spaces. Banach-Steinhaus theorem and Baire theorem. Banach theorem on an open mapping. Closed graph theorem. Elements of spectral theory. |
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360-MS1-2AM4a | n/a |
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Classes
Academic year 2024/2025
Groups
Brief description
No brief description found, go to course home page to get more information.
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360-MS1-2MNUMa | n/a |
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Classes
Academic year 2024/2025
Groups
Brief description
No brief description found, go to course home page to get more information.
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360-MS1-2RRa | n/a |
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Classes
Academic year 2024/2025
Groups
Brief description
(in Polish) Assumptions and goals of the course: Developing knowledge of basic concepts and theorems of the theory of ordinary differential equations and knowledge of methods for solving various types of differential equations and their applications. |
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360-MS2-1PSa |
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Classes
Academic year 2023/2024
Groups
Brief description
No brief description found, go to course home page to get more information.
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