Students are asked to consult the ECTS course descriptions for each learning activity (AA) to know what special Covid-19 assessment methods are possibly planned for the end of Q3 |
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Code | Type | Head of UE | Department’s contact details | Teacher(s) |
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US-M2-MATHFA-003-M | Optional UE | TROESTLER Christophe | S835 - Analyse numérique | |
Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Credits | Weighting | Term |
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| Français | 30 | 0 | 90 | 0 | 0 | 12 | 12.00 | Full academic year |
Objectives of Programme's Learning Outcomes
- Have integrated and elaborate mathematical knowledge.
- Mobilise the Bachelor's course in mathematics to address complex issues and have profound mathematical expertise to complement the knowledge developed in the Bachelor's course.
- Use prior knowledge to independently learn high-level mathematics.
- Research mathematical literature in an efficient and relevant way.
- Read research articles in at least one discipline of mathematics.
- Carry out major projects.
- Independently carry out a major project related to mathematics or mathematical applications. This entails taking into account the complexity of the project, its objectives and the resources available to carry it out.
- Appropriately use bibliographic resources for the intended purpose.
- Present the objectives and results of a project orally and in writing.
- Apply innovative methods to solve an unprecedented problem in mathematics or within its applications.
- Appropriately make use of computer tools, as required by developing a small programme.
- Communicate clearly.
- Communicate the results of mathematical or related fields, both orally and in writing, by adapting to the public.
- make a structured and reasoned presentation of the content and principles underlying a piece of work, mobilised skills and the conclusions it leads to.
- Have sufficient knowledge of English for basic scientific communication.
- Adapt to different contexts.
- Demonstrate thoroughness, independence, creativity, intellectual honesty, and ethical values.
- Skill 6: Have acquired professional skills in relation to the objective defining the degree.
- Have gained expertise and specialised knowledge in a field of mathematics in order to enter fully into the world of research.
- Demonstrate intuition and creativity to tackle new mathematical problems.
- Expose high-level mathematical results to a specialised audience.
- Have integrated and elaborate mathematical knowledge.
- Mobilise the Bachelor's course in mathematics to address complex issues and have profound mathematical expertise to complement the knowledge developed in the Bachelor's course.
- Use prior knowledge to independently learn high-level mathematics.
- Carry out major projects.
- Independently carry out a major project related to mathematics or mathematical applications. This entails taking into account the complexity of the project, its objectives and the resources available to carry it out.
- Appropriately use bibliographic resources for the intended purpose.
- Present the objectives and results of a project orally and in writing.
- Carry out major projects.
- Present the objectives and results of a project orally and in writing.
- Communicate clearly.
- Communicate the results of mathematical or related fields, both orally and in writing, by adapting to the public.
- make a structured and reasoned presentation of the content and principles underlying a piece of work, mobilised skills and the conclusions it leads to.
- Have sufficient knowledge of English for basic scientific communication.
Learning Outcomes of UE
At the end of the instruction, the students will be able to:
* explain what is a differential equation with boundary conditions;
* determine their solutions in simple cases;
* prove the equivalence with the weak form and the variational form, as well as the Lax-Milgram theorem;
* implement the finite element method for elliptic equations.
Content of UE
Classification of partial differential equations (PDE).
Weak formulation, Lax-Milgram theorem
Variational formulation, direct method of the calculus of variations
The method of finite elements: Galerkin approximations, errors, convergence, practical advice for implementation
The precise content will depend on the students' objectives.
Prior Experience
Not applicable
Type of Assessment for UE in Q1
Q1 UE Assessment Comments
Not applicable
Type of Assessment for UE in Q2
- Presentation and/or works
- Practical test
Q2 UE Assessment Comments
Not applicable
Type of Assessment for UE in Q3
- Presentation and/or works
- Practical Test
Q3 UE Assessment Comments
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-032 | - Préparations, travaux, recherches d'information
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Mode of delivery
AA | Mode of delivery |
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S-MATH-032 | |
Required Learning Resources/Tools
AA | Required Learning Resources/Tools |
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S-MATH-032 | Not applicable |
Recommended Learning Resources/Tools
AA | Recommended Learning Resources/Tools |
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S-MATH-032 | See the course page. |
Other Recommended Reading
AA | Other Recommended Reading |
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S-MATH-032 | Not applicable |
Grade Deferrals of AAs from one year to the next
AA | Grade Deferrals of AAs from one year to the next |
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S-MATH-032 | Authorized |
(*) HT : Hours of theory - HTPE : Hours of in-class exercices - HTPS : hours of practical work - HD : HMiscellaneous time - HR : Hours of remedial classes. - Per. (Period), Y=Year, Q1=1st term et Q2=2nd term