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-004-MCompulsory UETROESTLER ChristopheS835 - Analyse numérique
  • TROESTLER Christophe
Language
of instruction
Language
of assessment
HT(*) HE(*) HTP(*) HR(*) HD(*) CreditsWeighting Term
  • Français
Français30306.006.001st term
AA CodeTeaching Activity (AA) HT(*) HE(*) HTP(*) HR(*) HD(*) Term Weighting
S-MATH-711Mathematical analysis I (part A)30.0030.00100.00%

Objectives of general skills

  • Understand "elementary" mathematics profoundly
    • Understand one- and several-variable differential and integral calculus
    • Understand and use the naive set theory
    • 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

UE's Learning outcomes

At the end of the instruction, the students will be able to understand and prove properties stated using logical quantifiers, in particular those related to the fundamental notions of Mathematical Analysis, such as convergence.

UE Content

Sequences, convergence and limit (definition and properties), completion, supremum & infimum.

Prior experience

Sans objet

Term 1 for Integrated Assessment - type

  • N/A

Term 2 for Integrated Assessment - type

  • N/A

Term 3 for Integrated Assessment - type

  • N/A

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

  • N/A

Type of Teaching Activity/Activities

A.A.Type of Teaching Activity/Activities
S-MATH-711
  • Course
  • Exercices

Mode of delivery

A.A.Mode of delivery
S-MATH-711
  • Face to face

Required Reading

A.A.Required Reading
S-MATH-711Note de cours - Analyse Mathématique I - Christophe Troestler

Required Learning Resources/Tools

A.A.Required Learning Resources/Tools
S-MATH-711Not applicable

Recommended Reading

A.A.Recommended Reading
S-MATH-711

Recommended Learning Resources/Tools

A.A.Recommended Learning Resources/Tools
S-MATH-711See the course page.

Other Recommended Reading

A.A.Other Recommended Reading
S-MATH-711Not applicable

Term 1 Assessment - type

A.A.Term 1 Assessment - type
S-MATH-711
  • Written examination

Term 1 Assessment - comments

A.A.Term 1 Assessment - comments
S-MATH-711Not applicable

Resit Assessment - Term 1 (B1BA1) - type

A.A.Resit Assessment - Term 1 (B1BA1) - type
S-MATH-711
  • Written examination

Resit Assessment - Term 1 (B1BA1) - Comments

A.A.Resit Assessment - Term 1 (B1BA1) - Comments
S-MATH-711Not applicable

Term 2 Assessment - type

A.A.Term 2 Assessment - type
S-MATH-711
  • N/A

Term 2 Assessment - comments

A.A.Term 2 Assessment - comments
S-MATH-711Not applicable

Term 3 Assessment - type

A.A.Term 3 Assessment - type
S-MATH-711
  • Written examination

Term 3 Assessment - comments

A.A.Term 3 Assessment - comments
S-MATH-711Not applicable
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.