Study programme 2018-2019Français
Mathematical Analysis I - Part B
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-005-MCompulsory UETROESTLER ChristopheS835 - Analyse numérique
  • TROESTLER Christophe

Language
of instruction
Language
of assessment
HT(*) HTPE(*) HTPS(*) HR(*) HD(*) CreditsWeighting Term
  • Français
Français303000066.002nd term

AA CodeTeaching Activity (AA) HT(*) HTPE(*) HTPS(*) HR(*) HD(*) Term Weighting
S-MATH-712Mathematical Analysis I (part B)3030000Q2100.00%
Programme component

Objectives of Programme's Learning Outcomes

  • Understand "elementary" mathematics profoundly
    • Understand one- and several-variable differential and integral calculus
    • 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

Learning Outcomes of UE

At the end of the instruction, the students will be able to manipulate the fundamental concepts and techniques of modern mathematical analysis, to have some autonomy in using them as well as an ability to manipulate the formalism and to put it in relation with more intuitive data (drawings, drafts of computations,...).

Content of UE

Continuity (including the - definition) and derivability of functions of one real variable, Rolle's Theorem and the mean value theorem, Taylor expansions (with differential remainder), linear ordinary differential equations.

Prior Experience

Convergence of sequences, supremum, infimum.  Capability to manipulate quantified formulae.

Type of Assessment for UE in Q2

  • Written examination

Q2 UE Assessment Comments

The mark of this evaluation becomes the mark of the program component.

Type of Assessment for UE in Q3

  • Written examination

Q3 UE Assessment Comments

The mark of this evaluation becomes the mark of the program component.

Type of Teaching Activity/Activities

AAType of Teaching Activity/Activities
S-MATH-712
  • Cours magistraux
  • Exercices dirigés

Mode of delivery

AAMode of delivery
S-MATH-712
  • Face to face

Required Reading

AARequired Reading
S-MATH-712Note de cours - Analyse Mathématique I - Christophe Troestler

Required Learning Resources/Tools

AARequired Learning Resources/Tools
S-MATH-712Not applicable

Recommended Reading

AARecommended Reading
S-MATH-712

Recommended Learning Resources/Tools

AARecommended Learning Resources/Tools
S-MATH-712See the course page.

Other Recommended Reading

AAOther Recommended Reading
S-MATH-712Not applicable

Grade Deferrals of AAs from one year to the next

AAGrade Deferrals of AAs from one year to the next
S-MATH-712Authorized
(*) 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