Study programme 2020-2021Français
Solitons
Programme component of Master's in Mathematics : Research Focus 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
Teacher(s)
US-M2-MATHFA-020-MOptional UEBRIHAYE Yves
  • BRIHAYE Yves

Language
of instruction
Language
of assessment
HT(*) HTPE(*) HTPS(*) HR(*) HD(*) CreditsWeighting Term
  • Français
Français15000033.001st term

AA CodeTeaching Activity (AA) HT(*) HTPE(*) HTPS(*) HR(*) HD(*) Term Weighting
S-PHYS-041Solitons150000Q1100.00%
Programme component

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.
    • Read research articles in at least one discipline of mathematics.
  • Skill 6: Have acquired professional skills in relation to the objective defining the degree.
    • Demonstrate intuition and creativity to tackle new mathematical problems.

Learning Outcomes of UE

Distinguish certain physical phenomenons obeying linear and non-linear equations. Appreciate differences between such systems, namely the propagation of initial conditions, the existence of conserved quantities. Getting familiar to certain techniques of resolutions of non-linear differential equations

Content of UE

Introduction to equations admitting soliton type of solutions. Some methods of résolutions. Elementary methods. Backlund Transformations. Inverse scattering method. Intégrable systems.

Prior Experience

Differential equations

Type of Assessment for UE in Q1

  • Presentation and/or works

Q1 UE Assessment Comments

Not applicable

Type of Assessment for UE in Q3

  • Presentation and/or works

Q3 UE Assessment Comments

Not applicable

Type of Resit Assessment for UE in Q1 (BAB1)

  • Presentation and/or works

Q1 UE Resit Assessment Comments (BAB1)

Not applicable

Type of Teaching Activity/Activities

AAType of Teaching Activity/Activities
S-PHYS-041
  • Cours magistraux

Mode of delivery

AAMode of delivery
S-PHYS-041
  • Face to face

Required Reading

AA
S-PHYS-041

Required Learning Resources/Tools

AARequired Learning Resources/Tools
S-PHYS-041Not applicable

Recommended Reading

AA
S-PHYS-041

Recommended Learning Resources/Tools

AARecommended Learning Resources/Tools
S-PHYS-041Not applicable

Other Recommended Reading

AAOther Recommended Reading
S-PHYS-041Not applicable

Grade Deferrals of AAs from one year to the next

AAGrade Deferrals of AAs from one year to the next
S-PHYS-041Authorized
(*) 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
Courriel: info.mons@umons.ac.be