Study programme 2014 - 2015 [New Decree on Higher Education]*
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(*) HE(*) HTP(*) HR(*) HD(*) CreditsWeighting Term
  • Français
Français40459.009.00Année
AA CodeTeaching Activity (AA) HT(*) HE(*) HTP(*) HR(*) HD(*) Term
S-MATH-709linear algebra and geometry I (part A)15.0015.00
S-MATH-710Linear algebra and geometry I (part B)15.0015.00
S-MATH-716Linear algevra and geomtry I (part C)10.0015.00
Integrated Assessment: There will be an overall assessment for the entire Programme component (UE) instead of individual assessments for each Teaching Activity (AA)

Objectives of general skills

  • 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

UE's Learning outcomes

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

UE Content

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

Prior experience

"Mathématiques Elémentaires" course.

Term 1 for Integrated Assessment - type

  • Quoted exercices

Term 1 for Integrated 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.

Term 2 for Integrated Assessment - type

  • Written examination
  • Quoted exercices

Term 2 for Integrated 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.

Term 3 for Integrated Assessment - type

  • Written examination

Term 3 for Integrated Assessment - comments

Not applicable

Resit Assessment for IT - Term 1 (B1BA1) - Comments

Not applicable

Type of Teaching Activity/Activities

A.A.Type of Teaching Activity/Activities
S-MATH-709
  • Course
  • Exercices
S-MATH-710
  • Course
  • Exercices
S-MATH-716
  • Course
  • Exercices

Mode of delivery

A.A.Mode of delivery
S-MATH-709
  • Face to face
S-MATH-710
  • Face to face
S-MATH-716
  • Face to face

Required Reading

A.A.
S-MATH-709
S-MATH-710
S-MATH-716

Required Learning Resources/Tools

A.A.Required Learning Resources/Tools
S-MATH-709Not applicable
S-MATH-710Not applicable
S-MATH-716Not applicable

Recommended Reading

A.A.
S-MATH-709
S-MATH-710
S-MATH-716

Recommended Learning Resources/Tools

A.A.Recommended Learning Resources/Tools
S-MATH-709Not applicable
S-MATH-710Not applicable
S-MATH-716Not applicable

Other Recommended Reading

A.A.Other 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)
UE : Programme component - AA : Teaching activity
(*) HT : Hours of theory - HE : Hours of in-class exercices - HTP : hours of practical work - HD : HMiscellaneous time - HR : Hours of remedial classes.Integrated Assessment: There will be an overall assessment for the entire Programme component (UE) instead of individual assessments for each Teaching Activity (AA)