Code | Type | Head of UE | Department’s contact details | Teacher(s) |
---|
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 |
---|
| 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.
- 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.
- 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
<em>The precise content will depend on the students' objectives.</em>
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 |
---|
S-MATH-032 | - Préparations, travaux, recherches d'information
|
Mode of delivery
AA | Mode of delivery |
---|
S-MATH-032 | |
Required Learning Resources/Tools
AA | Required Learning Resources/Tools |
---|
S-MATH-032 | Not applicable
|
Recommended Learning Resources/Tools
AA | Recommended Learning Resources/Tools |
---|
S-MATH-032 | See the course page.
|
Other Recommended Reading
AA | Other Recommended Reading |
---|
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 |
---|
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