Study programme 2021-2022 | Français | ||
Project - Digital Analysis of Differential Equations (List A) | |||
Programme component of Master's in Mathematics à la Faculty of Science |
Code | Type | Head of UE | Department’s contact details | Teacher(s) |
---|---|---|---|---|
US-M1-SCMATH-002-M | Optional UE | TROESTLER Christophe | S835 - Analyse numérique |
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Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Credits | Weighting | Term |
---|---|---|---|---|---|---|---|---|---|
| Français | 30 | 0 | 90 | 0 | 0 | 12 | 12.00 | Année |
AA Code | Teaching Activity (AA) | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term | Weighting |
---|---|---|---|---|---|---|---|---|
S-MATH-045 | Numerical Analysis: Differential Equations | 30 | 0 | 0 | 0 | 0 | Q1 | |
S-MATH-845 | Numerical Analysis: Project | 0 | 0 | 90 | 0 | 0 | A |
Programme component |
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Objectives of Programme's Learning Outcomes
Learning Outcomes of UE
At the end of the instruction, the students will be able to:
* prove the existence an uniqueness (both local and global) of solutions of ordinary differential equations (ODE);
* solve linear ODE;
* linearize ODE;
* build standard numerical methods for ODE and implement them;
* possess an expertise in building moderate sized programs.
Content of UE
Cauchy problems: existence, uniqueness, linearization, continuous dependence, matrix exponential, method of variation of constants.
Numerical methods: consistency, order, convergence
A large part of the time will be devoted to a personal or group project.
Prior Experience
Differential and integral calculus of several variables, basic numerical analysis.
Type of Assessment for UE in Q1
Method of calculating the overall mark for the Q1 UE assessment
Not applicable
Q1 UE Assessment Comments
The course is taking place on both semesters with continuous evaluation.
Type of Assessment for UE in Q2
Method of calculating the overall mark for the Q2 UE assessment
Mark of the single course component.
Q2 UE Assessment Comments
Not applicable
Type of Assessment for UE in Q3
Method of calculating the overall mark for the Q3 UE assessment
Mark of the single course component.
Q3 UE Assessment Comments
Not applicable
Method of calculating the overall mark for the Q1 UE resit assessment
Not applicable
Type of Resit Assessment for UE in Q1 (BAB1)
Q1 UE Resit Assessment Comments (BAB1)
Not applicable
Type of Teaching Activity/Activities
AA | Type of Teaching Activity/Activities |
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S-MATH-045 |
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S-MATH-845 |
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Mode of delivery
AA | Mode of delivery |
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S-MATH-045 |
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S-MATH-845 |
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Required Reading
AA | |
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S-MATH-045 | |
S-MATH-845 |
Required Learning Resources/Tools
AA | Required Learning Resources/Tools |
---|---|
S-MATH-045 | Not applicable |
S-MATH-845 | Not applicable |
Recommended Reading
AA | |
---|---|
S-MATH-045 | |
S-MATH-845 |
Recommended Learning Resources/Tools
AA | Recommended Learning Resources/Tools |
---|---|
S-MATH-045 | See the course page. |
S-MATH-845 | Not applicable |
Other Recommended Reading
AA | Other Recommended Reading |
---|---|
S-MATH-045 | Not applicable |
S-MATH-845 | Not applicable |