Study programme 2021-2022Français
Tensorial calculation and restricted relativity
Programme component of Bachelor's in Mathematics à la Faculty of Science

CodeTypeHead of UE Department’s
contact details
Teacher(s)
US-B2-SCMATH-041-MCompulsory UESEMAY ClaudeS824 - Physique nucléaire et subnucléaire
  • SEMAY Claude

Language
of instruction
Language
of assessment
HT(*) HTPE(*) HTPS(*) HR(*) HD(*) CreditsWeighting Term
  • Français
Français302000066.001st term

AA CodeTeaching Activity (AA) HT(*) HTPE(*) HTPS(*) HR(*) HD(*) Term Weighting
S-PHYS-011Tensorial calculation and restricted relativity3020000Q1100.00%

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
    • Manipulate previously acquired knowledge that appears in a question
  • Understand and produce strict mathematical reasoning
    • Rely on a picture to illustrate a concept, rationale, etc.
  • Solve new problems
    • Adapt an argument to a similar situation
    • Use knowledge from different fields to address issues

Learning Outcomes of UE

Master techniques of tensor calculus
Work with different coordinate systems
Understand the basic principles of special relativity
Solve simple problems in the framework of special relativity

Content of UE

Tensor calculus
Vector spaces
Tensors and tensor product
Scalar and vector products
Systems of coordinates
Differential operators

Special relativity
Space, time and mass
Lorentz transformations
Lorentz diagrams
Time dilation and length contraction
Minkowski space-time
4-vectors
Equivalence of mass and energy
Particle collisions

Prior Experience

Linear algebra
Matrix calculus and determinant
Vector space
Basic knowledge in mechanics

Type of Assessment for UE in Q1

  • Oral examination
  • Written examination

Q1 UE Assessment Comments

Written: 40%
Oral: 60% (can only be presented if the written exam is presented)

Type of Assessment for UE in Q3

  • Oral examination

Q3 UE Assessment Comments

Not applicable

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
S-PHYS-011
  • Cours magistraux
  • Exercices dirigés

Mode of delivery

AAMode of delivery
S-PHYS-011
  • Face to face

Required Reading

AARequired Reading
S-PHYS-011Note de cours - Partie 2 - Calcul tensoriel et relativité restreinte - Claude Semay
,Note de cours - Partie 1 - Calcul tensoriel et relativité restreinte - Claude Semay
,Note de cours - Partie 3 - Calcul tensoriel et relativité restreinte - Claude Semay

Required Learning Resources/Tools

AARequired Learning Resources/Tools
S-PHYS-011Not applicable

Recommended Reading

AA
S-PHYS-011

Recommended Learning Resources/Tools

AARecommended Learning Resources/Tools
S-PHYS-011C. Semay et B. Silvestre-Brac, Introduction au calcul tensoriel, Dunod, 2007 (disponible en bibliothèque)

C. Semay et B. Silvestre-Brac, Relativité restreinte, Dunod, 2010 (disponible en bibliothèque)

Other Recommended Reading

AAOther Recommended Reading
S-PHYS-011Not applicable

Grade Deferrals of AAs from one year to the next

AAGrade Deferrals of AAs from one year to the next
S-PHYS-011Unauthorized
(*) 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 dernière mise à jour de la fiche ECTS par l'enseignant : 06/04/2021
Date de dernière génération automatique de la page : 06/05/2022
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