Study programme 2018-2019Français
Probabilities and statistics II
Programme component of Bachelor's Degree in Mathematics à la Faculty of Science
CodeTypeHead of UE Department’s
contact details
Teacher(s)
US-B3-SCMATH-007-MCompulsory UEGROSSE-ERDMANN KarlS844 - Probabilité et statistique
  • GROSSE-ERDMANN Karl

Language
of instruction
Language
of assessment
HT(*) HTPE(*) HTPS(*) HR(*) HD(*) CreditsWeighting Term
  • Français
Français402000077.00Année

AA CodeTeaching Activity (AA) HT(*) HTPE(*) HTPS(*) HR(*) HD(*) Term Weighting
S-MATH-022Probability and statistics II (Part A)2010000Q1
S-MATH-822Probability and statistics II (Part B)2010000Q2
Programme component

Objectives of Programme's Learning Outcomes

  • Understand "elementary" mathematics profoundly
    • Understand one- and several-variable differential and integral calculus
    • Understand the fundamentals of probability and statistics
    • 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
    • Demonstrate independence and their ability to work in teams.
  • 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
  • Address literature and interact within other scientific fields
    • Have sufficient knowledge of English in order to read and understand scientific texts, especially in the field of mathematics.

Learning Outcomes of UE

The aim of this cours is the study of random vectors, of sequences of random variables, and an introduction to statistics

Content of UE

- The strong law of large numbers - Random vectors - Central limit theorem - Statistics

Prior Experience

Good knowledge of the basic theory of probability (probability distributions, random variables) and of the elements of measure theory and integration theory

Type of Assessment for UE in Q1

  • Written examination

Q1 UE Assessment Comments

Not applicable

Type of Assessment for UE in Q2

  • Written examination

Q2 UE Assessment Comments

Not applicable

Type of Assessment for UE in Q3

  • Oral examination

Q3 UE Assessment Comments

Not applicable

Type of Resit Assessment for UE in Q1 (BAB1)

  • N/A

Q1 UE Resit Assessment Comments (BAB1)

Not applicable

Type of Teaching Activity/Activities

AAType of Teaching Activity/Activities
S-MATH-022
  • Cours magistraux
  • Exercices dirigés
S-MATH-822
  • Cours magistraux
  • Conférences
  • Exercices dirigés
  • Utilisation de logiciels
  • Démonstrations

Mode of delivery

AAMode of delivery
S-MATH-022
  • Face to face
S-MATH-822
  • Face to face

Required Reading

AA
S-MATH-022
S-MATH-822

Required Learning Resources/Tools

AARequired Learning Resources/Tools
S-MATH-022Exercise sheets
S-MATH-822Exercise sheets

Recommended Reading

AA
S-MATH-022
S-MATH-822

Recommended Learning Resources/Tools

AARecommended Learning Resources/Tools
S-MATH-022Not applicable
S-MATH-822Not applicable

Other Recommended Reading

AAOther Recommended Reading
S-MATH-022Allan Gut : Probability : A graduate course, 2e édition, Springer Texts in Statistics 75, Springer
Jean-Pierre Lecoutre, Statistique et probabilités : Manuel et exercices corrigés, Dunod
Bernard Candelpergher : Théorie des probabilités. Une introduction élémentaire, Calvage et Mounet
Benjamin Jourdain, Probabilités et statistique, Ellipses
S-MATH-822Allan Gut : Probability : A graduate course, 2e édition, Springer Texts in Statistics 75, Springer
Jean-Pierre Lecoutre, Statistique et probabilités : Manuel et exercices corrigés, Dunod
Bernard Candelpergher : Théorie des probabilités. Une introduction élémentaire, Calvage et Mounet
Benjamin Jourdain, Probabilités et statistique, Ellipses
(*) 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