Functional- and Fourieranalysis (5530) |
| Credits: 5,0 | | Study load hours: 135 | Period: semester 2 (5sp)  |
| Language of instruction: English |
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Advising sequentiality bound on the level of programme components
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Following programme components are advised to also be included in your study programme up till now.
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Analysis 2 (3190)
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5.0 stptn | |
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Linear algebra (3983)
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.0 stptn | |
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- Infinite-dimensional normed spaces, completeness, Banach and Hilbert spaces, projections
- Fourier series for periodic functions, Parseval, L^2-convergence, Bessel
- Discrete Fourier transformation, convergence, aliasing, FFT
- Linear operators on Banach spaces, boundedness, Banach-Steinhauss, Dual spaces, Riesz
- Fourier transform, Plancherel, inverse Fourier transform, Shannon's sampling theorem
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Lecture ✔
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Response lecture ✔
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Semester 2 (5,00sp)
| Evaluation method | |
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| Written evaluation during teaching period | 10 % |
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Second examination period
| Evaluation second examination opportunity different from first examination opprt | |
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| Explanation (English) | 100% mondeling examen |
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Learning outcomes | EC = learning outcomes DC = partial outcomes BC = evaluation criteria |
Bachelor of Mathematics
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- EC
| EC 1: A graduate of the Bachelor of Mathematics programme has a thorough basic knowledge and insight in various disciplines of Mathematics including algebra, geometry, analysis, numerical mathematics, probability theory, statistics, aspects of discrete mathematics and logic. | | | - DC
| 1.3: A graduate of the Bachelor of Mathematics programme has a thorough basic knowledge and understanding of analysis | | | - DC
| 1.4: A graduate of the Bachelor of Mathematics programme has a thorough basic knowledge and understanding of numerical mathematics | - EC
| EC 5: A graduate of the Bachelor of Mathematics programme can apply the theories and methods to relatively simple mathematical problems (theoretical as well as computational). He/she can make and write down a mathematical line of reasoning by him/herself. | | | - DC
| 5.1: A graduate of the Bachelor of Mathematics programme can apply computational methods (e.g., integration, derivation of functions, variation of parameters, hypothesis testing, etc.) to solve simple mathematical problems | | | - DC
| 5.2: A graduate of the Bachelor of Mathematics programme can apply mathematical theories to analyze simple mathematical problems | - EC
| EC 6: A graduate of the Bachelor of Mathematics programme is able to integrate the acquired knowledge in new mathematical topics. He/she understands the connection between subjects. | | | - DC
| 6.1: A graduate of the Bachelor of Mathematics programme can recognize common mathematical and logical principles in various mathematical subfields | | | - DC
| 6.2: A graduate of the Bachelor of Mathematics programme can take a bird''s eye view of various mathematical topics and subfields | | | - DC
| 6.3: A graduate of the Bachelor of Mathematics programme understands the relationship between various topics | - EC
| EC 10: A graduate of the Bachelor of Mathematics programme has knowledge of a number of applications of mathematics. | | | - DC
| 10.1: A graduate of the Bachelor of Mathematics programme has knowledge of applications from the natural sciences |
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Bachelor of Physics
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- EC
| EC 7: A graduate of the Bachelor of Physics programme is able to apply the mathematical methods which are used in physics and possesses good numerical skills, including computational techniques and programming skills. |
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| Included in these programmes | Tolerance3 |
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Y
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2nd year Bachelor of Mathematics
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Y
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Exchange Programme Mathematics
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Y
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Exchange Programme Physics
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Y
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1 Education, Examination and Legal Position Regulations art.12.2, section 2. |
| 2 Education, Examination and Legal Position Regulations art.15.1, section 3. |
3 Education, Examination and Legal Position Regulations art.16.9, section 2.
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