Study programme 2020-2021Français
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

CodeTypeHead of UE Department’s
contact details
US-B3-SCMATH-022-MOptional UEBOULANGER Nicolas
  • BOULANGER Nicolas

of instruction
of assessment
HT(*) HTPE(*) HTPS(*) HR(*) HD(*) CreditsWeighting Term
  • Français
Français252500044.001st term

AA CodeTeaching Activity (AA) HT(*) HTPE(*) HTPS(*) HR(*) HD(*) Term Weighting
S-PHYS-017Analytical Mechanics2525000Q1100.00%
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

AAType of Teaching Activity/Activities
  • Cours magistraux
  • Exercices dirigés

Mode of delivery

AAMode of delivery
  • Face to face

Required Reading


Required Learning Resources/Tools

AARequired Learning Resources/Tools
S-PHYS-017Lecture notes made available on Moodle

Recommended Reading


Recommended Learning Resources/Tools

AARecommended Learning Resources/Tools
S-PHYS-017V. 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

AAOther Recommended Reading
S-PHYS-017L. Landau and E. Lifchitz, Vol 1 Mecanique, MIR Moscou

Grade Deferrals of AAs from one year to the next

AAGrade Deferrals of AAs from one year to the next
(*) 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
Date de génération : 09/07/2021
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Tél: +32 (0)65 373111