Study programmeFrançais
Introduction to Differential Varieties
Programme component of Bachelor's Degree in Mathematics à la Faculty of Science
CodeTypeHead of UE Department’s
contact details
Teacher(s)
US-B3-SCMATH-005-MCompulsory UEBRIHAYE ThomasS820 - Mathématiques effectives
  • BRIHAYE Thomas

Language
of instruction
Language
of assessment
HT(*) HTPE(*) HTPS(*) HR(*) HD(*) CreditsWeighting Term
  • Français
Français30300006.00100.00

AA CodeTeaching Activity (AA) HT(*) HTPE(*) HTPS(*) HR(*) HD(*) Term Weighting
S-MATH-067Introduction to Differential Varieties3030000Q2100.00%
Unité d'enseignement

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
    • 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
  • 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

Learning Outcomes of UE

Understand the theorical aspects of the course and use them in the context of exerices.

Content of UE

Parametrised curves: arc length parametrization, curvature and torsion.
Parametrised surfaces: first and second fundamental form.

Prior Experience

Linear algebra: vector space, base, linear application (matrix representation), diagonalisation.
Several variables differential calculus

Q1 UE Assessment Comments

Not applicable

Type of Assessment for UE in Q2

  • Oral Examination

Q2 UE Assessment Comments

Not applicable

Type of Assessment for UE in Q3

  • Oral examination

Q3 UE Assessment Comments

Not applicable

Q1 UE Resit Assessment Comments (BAB1)

Not applicable

Type of Teaching Activity/Activities

AAType of Teaching Activity/Activities
S-MATH-067
  • Cours magistraux
  • Exercices dirigés

Mode of delivery

AAMode of delivery
S-MATH-067
  • Face to face

Required Reading

AA
S-MATH-067

Required Learning Resources/Tools

AARequired Learning Resources/Tools
S-MATH-067Not applicable

Recommended Reading

AA
S-MATH-067

Recommended Learning Resources/Tools

AARecommended Learning Resources/Tools
S-MATH-067Not applicable

Other Recommended Reading

AAOther Recommended Reading
S-MATH-067Not applicable

Grade Deferrals of AAs from one year to the next

AAGrade Deferrals of AAs from one year to the next
S-MATH-067Autorisé
Date de génération : 17/03/2017
20, place du Parc, B7000 Mons - Belgique
Tél: +32 (0)65 373111
Courriel: info.mons@umons.ac.be