 | Study programme 2020-2021 | Français | |
 | Analytical Mechanics | ||
Programme component of Bachelor's in Mathematics à la Faculty of Science |
| 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 |
|---|
| Code | Type | Head of UE | Department’s contact details | Teacher(s) |
|---|---|---|---|---|
| US-B3-SCMATH-022-M | Optional UE | BOULANGER Nicolas |
|
| Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Credits | Weighting | Term |
|---|---|---|---|---|---|---|---|---|---|
| Français | 25 | 25 | 0 | 0 | 0 | 4 | 4.00 | 1st term |
| AA Code | Teaching Activity (AA) | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term | Weighting |
|---|---|---|---|---|---|---|---|---|
| S-PHYS-017 | Analytical Mechanics | 25 | 25 | 0 | 0 | 0 | Q1 | 100.00% |
| Programme component |
|---|
Objectives of Programme's Learning Outcomes
- Understand "elementary" mathematics profoundly
- Understand one- and several-variable differential and integral calculus
- Use vector spaces, linear applications and the techniques associated with them
- Understand basic algebraic structures
- Manipulate previously acquired knowledge that appears in a question
- Give examples and counterexamples for definitions, properties, theorems, etc.
- Understand and produce strict mathematical reasoning
- Write clearly and concisely
- Use mathematical vocabulary and formalism appropriately
- Make sense of formal expressions
- Rely on a picture to illustrate a concept, rationale, etc.
- Collaborate on mathematical subjects
- Present mathematical results orally and in a structured manner
- Demonstrate independence and their ability to work in teams.
- Solve new problems
- Abstract and manipulate theories and use these to solve problems
- Adapt an argument to a similar situation
- Use knowledge from different fields to address issues
- Address literature and interact within other scientific fields
- Have a good knowledge of related fields using mathematics
Learning Outcomes of UE
Be able to apply the mathematically methods of analytical mechanics to problem-solving. Understanding of the key issues of symplectic geometry.
Content of UE
Variational principles, Lagrange, Hamilton, Hamilton-Jacobi equation, integrability and action-angle variables
Prior Experience
Differential and integral calculus, linear algebra, tensor calculus
Type of Assessment for UE in Q1
- Oral examination
- Written examination
Q1 UE Assessment Comments
Written examen without any notes as support.
Type of Assessment for UE in Q3
- Oral examination
- Written examination
Q3 UE Assessment Comments
Same examination mode as in Q1
Type of Resit Assessment for UE in Q1 (BAB1)
- N/A
Q1 UE Resit Assessment Comments (BAB1)
Not applicable
Type of Teaching Activity/Activities
| AA | Type of Teaching Activity/Activities |
|---|---|
| S-PHYS-017 |
|
Mode of delivery
| AA | Mode of delivery |
|---|---|
| S-PHYS-017 |
|
Required Reading
| AA | |
|---|---|
| S-PHYS-017 |
Required Learning Resources/Tools
| AA | Required Learning Resources/Tools |
|---|---|
| S-PHYS-017 | Lecture notes made available on Moodle |
Recommended Reading
| AA | |
|---|---|
| S-PHYS-017 |
Recommended Learning Resources/Tools
| AA | Recommended Learning Resources/Tools |
|---|---|
| S-PHYS-017 | V. Arnold, Mathematical methods of classical mechanics, Springer-Verlag 1989; Ph. Spindel, Mécanique analytique, Volume II, Editeur(s) : Paris : Contemporary publishing international-GB sciencepublishers, 2002 |
Other Recommended Reading
| AA | Other Recommended Reading |
|---|---|
| S-PHYS-017 | L. Landau and E. Lifchitz, Vol 1 Mecanique, MIR Moscou |
Grade Deferrals of AAs from one year to the next
| AA | Grade Deferrals of AAs from one year to the next |
|---|---|
| S-PHYS-017 | Authorized |