Study programme 2018-2019Français
Linear Algebra and Geometry I
Programme component of Bachelor's Degree in Mathematics à la Faculty of Science
CodeTypeHead of UE Department’s
contact details
Teacher(s)
US-B1-SCMATH-003-MCompulsory UEVOLKOV MajaS843 - Géométrie algébrique
  • VOLKOV Maja

Language
of instruction
Language
of assessment
HT(*) HTPE(*) HTPS(*) HR(*) HD(*) CreditsWeighting Term
  • Français
Français404500099.00Année

AA CodeTeaching Activity (AA) HT(*) HTPE(*) HTPS(*) HR(*) HD(*) Term Weighting
S-MATH-709Linear Algebra and Geometry I (part A)1515000Q1
S-MATH-710Linear Algebra and Geometry I (part B)1515000Q2
S-MATH-716Linear Algebra and Geometry I (part C)1015000Q2
Programme component

Objectives of Programme's Learning Outcomes

  • Understand "elementary" mathematics profoundly
    • Use vector spaces, linear applications and the techniques associated with them
    • Understand and use the naive set theory
    • 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.
  • 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

To master elementary linear algebra in view of applications, be acquainted with mathematical formalism,  be able to write rigorous mathematical proofs.

Content of UE

Vector spaces, linear maps, dimension, matrix representations, determinant.

Prior Experience

"Mathématiques Elémentaires" course.

Type of Assessment for UE in Q1

  • Quoted exercices

Q1 UE Assessment Comments

The January test weights 25% of the continuous evaluation grade.
The final grade for the "UE" is the maximum of the June examination grade and the continuous evaluation grade.
 

Type of Assessment for UE in Q2

  • Written examination
  • Quoted exercices

Q2 UE Assessment Comments

The March test  weights 25% of the continuous evaluation  grade.
The June examination weights 50% of the continuous evaluation grade.
The final grade for the "UE" is the maximum of the June examination grade and the continuous evaluation grade.

Type of Assessment for UE in Q3

  • Written examination

Q3 UE Assessment Comments

Not applicable

Type of Resit Assessment for UE in Q1 (BAB1)

  • Written examination

Q1 UE Resit Assessment Comments (BAB1)

Not applicable

Type of Teaching Activity/Activities

AAType of Teaching Activity/Activities
S-MATH-709
  • Cours magistraux
  • Exercices dirigés
  • Démonstrations
S-MATH-710
  • Cours magistraux
  • Exercices dirigés
  • Démonstrations
S-MATH-716
  • Cours magistraux
  • Exercices dirigés
  • Démonstrations

Mode of delivery

AAMode of delivery
S-MATH-709
  • Face to face
S-MATH-710
  • Face to face
S-MATH-716
  • Face to face

Required Reading

AA
S-MATH-709
S-MATH-710
S-MATH-716

Required Learning Resources/Tools

AARequired Learning Resources/Tools
S-MATH-709Not applicable
S-MATH-710Not applicable
S-MATH-716Not applicable

Recommended Reading

AA
S-MATH-709
S-MATH-710
S-MATH-716

Recommended Learning Resources/Tools

AARecommended Learning Resources/Tools
S-MATH-709Not applicable
S-MATH-710Not applicable
S-MATH-716Not applicable

Other Recommended Reading

AAOther Recommended Reading
S-MATH-709Serge Lang, "Linear Algebra", Undergraduate Texts in Mathematics, Springer (2010)
S-MATH-710Serge Lang, "Linear Algebra", Undergraduate Texts in Mathematics, Springer (2010)
S-MATH-716Serge Lang, "Linear Algebra", Undergraduate Texts in Mathematics, Springer (2010)
(*) 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 : 02/05/2019
20, place du Parc, B7000 Mons - Belgique
Tél: +32 (0)65 373111
Courriel: info.mons@umons.ac.be