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-006-MCompulsory UETROESTLER ChristopheS835 - Analyse numérique
  • BRIDOUX Stéphanie
  • TROESTLER Christophe
Language
of instruction
Language
of assessment
HT(*) HE(*) HTP(*) HR(*) HD(*) CreditsWeighting Term
  • Français
Français20407.007.002nd term
AA CodeTeaching Activity (AA) HT(*) HE(*) HTP(*) HR(*) HD(*) Term Weighting
S-MATH-713Mathematical analysis I (part C)20.0040.00100.00%

Objectives of general skills

  • Understand "elementary" mathematics profoundly
    • Understand one- and several-variable differential and integral calculus
    • Understand and use the naive set theory
    • 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
    • Work independently and in teams
  • 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 manipulate the fundamental concepts of topology as well as to perform more complicated reasonings about the objets seen in the part A & B.

UE Content

Limit and continuity in dimensions higher than 1, norm, inner product, balls, topological notions (open set, closed set, interior, adherence).  Proof and problems deepening the material of part A & B will also be tackled.

Prior experience

Parties A & B.

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-713
  • Course
  • Exercices

Mode of delivery

A.A.Mode of delivery
S-MATH-713
  • Face to face

Required Reading

A.A.
S-MATH-713

Required Learning Resources/Tools

A.A.Required Learning Resources/Tools
S-MATH-713Not applicable

Recommended Reading

A.A.
S-MATH-713

Recommended Learning Resources/Tools

A.A.Recommended Learning Resources/Tools
S-MATH-713Sans objet

Other Recommended Reading

A.A.Other Recommended Reading
S-MATH-713Not applicable

Term 1 Assessment - type

A.A.Term 1 Assessment - type
S-MATH-713
  • N/A

Term 1 Assessment - comments

A.A.Term 1 Assessment - comments
S-MATH-713Not applicable

Resit Assessment - Term 1 (B1BA1) - type

A.A.Resit Assessment - Term 1 (B1BA1) - type
S-MATH-713
  • N/A

Resit Assessment - Term 1 (B1BA1) - Comments

A.A.Resit Assessment - Term 1 (B1BA1) - Comments
S-MATH-713Not applicable

Term 2 Assessment - type

A.A.Term 2 Assessment - type
S-MATH-713
  • Oral Examination

Term 2 Assessment - comments

A.A.Term 2 Assessment - comments
S-MATH-713Not applicable

Term 3 Assessment - type

A.A.Term 3 Assessment - type
S-MATH-713
  • Oral examination

Term 3 Assessment - comments

A.A.Term 3 Assessment - comments
S-MATH-713Not 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.