MS-C1650 - Numerical Analysis, Lecture, 23.4.2024-31.5.2024
Osion kuvaus
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Exercise sessions start on week 2 of the course (29.4-5.5.).
There will be five exercise sets each of which contains quizzes, theory problems, and MATLAB exercises. The theory exercises are returned via MyCourses whereas the MATLAB exercises are returned in FeedbackFruits via MyCourses. We provide some hints for the exercises based on MATLAB, however, it is allowed to submit in Python. Other programming languages are not allowed. The exercises follow the lectures by one week, and so the exercise sessions start on week 18 (the second week of the course). The deadline for submitting the exercises is on the following Monday at 22:00. Late submissions are not accepted on any grounds.
Exercises are worth 75 % of the total grade. You get points for theory exercises (2 points each, scaled to 40% of overall grade), MATLAB exercises (1–2 points each, scaled to 25% of overall grade), peer-reviewing (see this page), and MyCourses quizzes (scaled to 10 % of overall grade).
Exercise groups and their respective TA's are as follows:
Tuesday 12:15-14:00 (H03)Otakaari 1, room U405aJaime Pardojaime.pardoherencia@aalto.fiWednesday 12:15-14:00 (H01)Otakaari 1, room Y228bJaime Pardojaime.pardoherencia@aalto.fiFriday 12:15-14:00 (H02)Otakaari 1, room M140Vili Kohonenvili.kohonen@aalto.fiNOTICE!For H01 (Wednesday's group), 1.5. Wednesday exercise session is moved to 2.5. Thursday, same time and room.We will remind you of this again before this session.Email is for practical questions relating to your personal situation only. If you have questions related to the exercises, you can ask during the exercise session or in the Discussion forum.
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Quiz 1 Quiz -tehtävä
Themes:
- Floating-Point Systems
- Conditioning
DL: May 6, 22:00
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Quiz 2 Quiz -tehtävä
Theme: Equation solving and iterations.
- Newton's Method
- Fixed-Point Iteration
DL: May 6, 22:00
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Quiz 3 Quiz -tehtävä
Theme: Interpolation.
- Lagrange
- Newton
DL: May 13, 22:00
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Quiz 4 Quiz -tehtävä
Theme: Interpolation continues.
- Divided differences
- Interpolation error
DL: May 13, 22:00
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Quiz 5 Quiz -tehtävä
Theme: Piecewise Interpolation.
- Hermite
- Splines
DL: May 22, 22:00
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Quiz 6 Quiz -tehtävä
Theme: Bézier
- Bernstein polynomials
- Continuous paths
DL: May 22, 22:00
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Quiz 7 Quiz -tehtävä
Theme: Numerical integration
- Monte Carlo
- Newton-Cotes
DL: May 29, 22:00
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Quiz 8 Quiz -tehtävä
Theme: Gauss Quadrature
- Orthogonal polynomials
- Gauss
DL: May 29, 22:00
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Quiz 9 Quiz -tehtävä
Theme: Initial Value Problems
- Explicit and Implicit Methods
- Stability and Convergence
DL: June 5, 22:00
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Quiz 10 Quiz -tehtävä
Theme: Initial Value Problems
- Linear Multi-Step Methods
- Stability and Convergence
DL: June 5, 22:00
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Problem Sheet 1 TiedostoPdf-tiedosto
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Problem Sheet 1 (MATLAB Companion) Kansio
Comments on MATLAB-exercises. Sample code for rate detection is provided.
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Problem Sheet 2 TiedostoPdf-tiedosto
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Problem Sheet 2 (MATLAB Companion) Kansio
Comments on MATLAB-exercises with suggestions.
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Problem Sheet 3 TiedostoPdf-tiedosto
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Problem Sheet 3 (MATLAB Companion) Kansio
Comments on MATLAB-exercises with suggestions.
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Problem Sheet 4 TiedostoPdf-tiedosto
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Problem Sheet 4 (MATLAB Companion) Kansio
Comments on MATLAB-exercises with suggestions.
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Problem Sheet 5 TiedostoPdf-tiedosto
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Problem Sheet 5 (MATLAB Companion) Kansio
Comments on MATLAB-exercises with suggestions.
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Problem Sheet 1 (Solution ideas) Kansio
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Problem Sheet 2 (Solution ideas) Kansio
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Problem Sheet 3 (Solution ideas) Kansio
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Exercises of week 18 Tehtävä
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Exercises of week 19 Tehtävä
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Exercises of week 20 Tehtävä
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Exercises of week 21 Tehtävä