| Language of instruction : English |
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Sequentiality
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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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4.0 stptn |
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| Degree programme | | Study hours | Credits | P2 SBU | P2 SP | 2nd Chance Exam1 | Tolerance2 | Final grade3 | |
 | 2nd year Bachelor of Mathematics | Compulsory | 135 | 5,0 | 135 | 5,0 | Yes | Yes | Numerical |  |
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| | | Learning outcomes |
- 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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| | EC = learning outcomes DC = partial outcomes BC = evaluation criteria |
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The student knows the following topics from Calculus 1.2, Analysis and Linear Algebra. Items marked with * are repeated briefly
-- Complex numbers
-- Normed vector spaces*, linear maps between vector spaces*
-- Lebesgue Integration, Beppo-Levi Theorem*
-- Cauchy Sequence*, Continuity*
-- Orthogonality and projections*
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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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Period 2 Credits 5,00
| Evaluation method | |
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| Written evaluaton during teaching periode | 10 % |
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Second examination period
| Evaluation second examination opportunity different from first examination opprt | |
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| Explanation (English) | 100% oral exam. |
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| Recommended reading |
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- Wavelets: A primer,Christian Blatter,Springer,9781568811956
- A first course in Fourier Analysis,David W. Kammler,Cambridge,9780521709798,Available as e-book: https://ebookcentral.proquest.com/lib/ubhasselt/detail.action?docID=328964&pq-origsite=summon
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| Exchange Programme Physics | Optional | 135 | 5,0 | 135 | 5,0 | Yes | Yes | Numerical | |
| Exchange Programme Mathematics | Optional | 135 | 5,0 | 135 | 5,0 | Yes | Yes | Numerical | |
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The student knows the following topics from Calculus 1.2, Analysis and Linear Algebra. Items marked with * are repeated briefly
-- Complex numbers
-- Normed vector spaces*, linear maps between vector spaces*
-- Lebesgue Integration, Beppo-Levi Theorem*
-- Cauchy Sequence*, Continuity*
-- Orthogonality and projections*
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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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Period 2 Credits 5,00
| Evaluation method | |
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| Written evaluaton during teaching periode | 10 % |
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Second examination period
| Evaluation second examination opportunity different from first examination opprt | |
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| Explanation (English) | 100% oral exam. |
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| Recommended reading |
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- Wavelets: A primer,Christian Blatter,Springer,9781568811956
- A first course in Fourier Analysis,David W. Kammler,Cambridge,9780521709798,Available as e-book: https://ebookcentral.proquest.com/lib/ubhasselt/detail.action?docID=328964&pq-origsite=summon
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| 2nd year Bachelor of Physics option twin | Broadening | 135 | 5,0 | 135 | 5,0 | Yes | Yes | Numerical | |
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| | | Learning outcomes |
- 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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| | EC = learning outcomes DC = partial outcomes BC = evaluation criteria |
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The student knows the following topics from Calculus 1.2, Analysis and Linear Algebra. Items marked with * are repeated briefly
-- Complex numbers
-- Normed vector spaces*, linear maps between vector spaces*
-- Lebesgue Integration, Beppo-Levi Theorem*
-- Cauchy Sequence*, Continuity*
-- Orthogonality and projections*
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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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Period 2 Credits 5,00
| Evaluation method | |
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| Written evaluaton during teaching periode | 10 % |
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Second examination period
| Evaluation second examination opportunity different from first examination opprt | |
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| Explanation (English) | 100% oral exam. |
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| Recommended reading |
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- Wavelets: A primer,Christian Blatter,Springer,9781568811956
- A first course in Fourier Analysis,David W. Kammler,Cambridge,9780521709798,Available as e-book: https://ebookcentral.proquest.com/lib/ubhasselt/detail.action?docID=328964&pq-origsite=summon
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1 Education, Examination and Legal Position Regulations art.12.2, section 2. |
| 2 Education, Examination and Legal Position Regulations art.16.9, section 2. |
3 Education, Examination and Legal Position Regulations art.15.1, section 3.
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| Legend |
| SBU : course load | SP : ECTS | N : Dutch | E : English |
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