Study programme 2021-2022Français
Calculus I
Programme component of Bachelor's in Mathematics à la Faculty of Science

CodeTypeHead of UE Department’s
contact details
Teacher(s)
US-B1-SCMATH-004-MCompulsory UEBRIDOUX StéphanieS910 - FS - Cellule de pédagogie facultaire
  • BRIDOUX Stéphanie
  • TROESTLER Christophe

Language
of instruction
Language
of assessment
HT(*) HTPE(*) HTPS(*) HR(*) HD(*) CreditsWeighting Term
  • Français
Français303600066.001st term

AA CodeTeaching Activity (AA) HT(*) HTPE(*) HTPS(*) HR(*) HD(*) Term Weighting
S-MATH-722Calculus I300000Q1
S-MATH-723Exercises of Calculus I036000Q1

Overall mark : the assessments of each AA result in an overall mark for the UE.
Programme component

Objectives of Programme's Learning Outcomes

  • Understand "elementary" mathematics profoundly
    • 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
    • Adapt an argument to a similar situation
    • Use knowledge from different fields to address issues

Learning Outcomes of UE

- Ability to carry out computations and justify them rigorously.
- Ability to graphically illustrate a mathematical setting.
- Ability to given examples and counterexamples for concepts and their properties.

Content of UE

- Limits of numerical sequences: sequence, limit laws, subsequences.
- Limits of functions: limit laws, continuity. 
- Derivation: definition, tangent, Taylor development, elementary series.

Prior Experience

All the concepts taught in the Basic Mathematics course.

Type of Assessment for UE in Q1

  • Written examination

Method of calculating the overall mark for the Q1 UE assessment

Global evaluation.

Q1 UE Assessment Comments

Not applicable.

Type of Assessment for UE in Q3

  • Written examination

Method of calculating the overall mark for the Q3 UE assessment

Global evaluation.

Q3 UE Assessment Comments

Not applicable.

Method of calculating the overall mark for the Q1 UE resit assessment

Global evaluation.

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-722
  • Cours magistraux
S-MATH-723
  • Exercices dirigés

Mode of delivery

AAMode of delivery
S-MATH-722
  • Face to face
S-MATH-723
  • Face to face

Required Reading

AARequired Reading
S-MATH-722Note de cours - Calculus I (partie A) - C. Troestler
S-MATH-723

Required Learning Resources/Tools

AARequired Learning Resources/Tools
S-MATH-722Not applicable
S-MATH-723Not applicable

Recommended Reading

AA
S-MATH-722
S-MATH-723

Recommended Learning Resources/Tools

AARecommended Learning Resources/Tools
S-MATH-722Not applicable
S-MATH-723Not applicable

Other Recommended Reading

AAOther Recommended Reading
S-MATH-722Not applicable
S-MATH-723Not applicable
(*) 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 dernière mise à jour de la fiche ECTS par l'enseignant : 14/05/2021
Date de dernière génération automatique de la page : 06/05/2022
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