Study programme 2017-2018Français
Introduction to Numerical Analysis
Programme component of Bachelor's Degree in Physics à la Faculty of Science
CodeTypeHead of UE Department’s
contact details
Teacher(s)
US-B3-SCPHYS-012-MCompulsory UETROESTLER ChristopheS835 - Analyse numérique
  • TROESTLER Christophe

Language
of instruction
Language
of assessment
HT(*) HTPE(*) HTPS(*) HR(*) HD(*) CreditsWeighting Term
  • Français
Français305000055Année

AA CodeTeaching Activity (AA) HT(*) HTPE(*) HTPS(*) HR(*) HD(*) Term Weighting
S-MATH-208Introduction to Numerical Analysis3040000Q1
S-MATH-865Numerical Analysis: Practical Work010000A
Programme component

Objectives of Programme's Learning Outcomes

  • Understand the fundamentals
    • Demonstrate knowledge and understanding of mathematics suitable for the study of physics, and be able to use this mathematics in applications in the field of physics
    • Undertake further study having already acquired and enhanced the necessary learning skills
  • Provide clear and accurate information
    • Communicate complex information to a qualified scientific partner
  • Grow personally and professionally
    • Have developed generic skills that are applicable in other contexts, especially a basic knowledge of chemistry, the use of the English language and understanding programming techniques

Learning Outcomes of UE

At the end of the instruction, the students will be able to
• explain the basic methods of numerical analysis;
• rigorously justify their convergence on concrete problems;
• program them on a computer.
 

Content of UE

Root finding algorithms: bisection, false position, secant, Newton, fix point, theorems guaranteeing convergence, numerical errors and conditioning, interpolation and least squares, ordinary differential equations and integration (introduction).

Prior Experience

Differential calculus of several variables (including the Intermediate Value Theorem, the Mean Value Theorem, Taylor expansions, computing solutions to ordinary linear differential equations with constant coefficients,...) and linear algebra (linear maps, matrix representation, rank-nullity Theorem,...)

Type of Assessment for UE in Q1

  • N/A

Q1 UE Assessment Comments

Not applicable

Type of Assessment for UE in Q2

  • Written examination
  • Practical test

Q2 UE Assessment Comments

Global exam for the UE.

Type of Assessment for UE in Q3

  • Written examination
  • Practical Test

Q3 UE Assessment Comments

Global exam for the UE.

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-208
  • Cours magistraux
  • Travaux pratiques
  • Projet sur ordinateur
S-MATH-865
  • Travaux pratiques
  • Projet sur ordinateur

Mode of delivery

AAMode of delivery
S-MATH-208
  • Face to face
S-MATH-865
  • Face to face

Required Reading

AA
S-MATH-208
S-MATH-865

Required Learning Resources/Tools

AARequired Learning Resources/Tools
S-MATH-208Not applicable
S-MATH-865Not applicable

Recommended Reading

AA
S-MATH-208
S-MATH-865

Recommended Learning Resources/Tools

AARecommended Learning Resources/Tools
S-MATH-208See the course page.
S-MATH-865Many exercises and exams are avaiable on the UMONS e-learning platform

Other Recommended Reading

AAOther Recommended Reading
S-MATH-208Not applicable
S-MATH-865Not 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 génération : 11/01/2018
20, place du Parc, B7000 Mons - Belgique
Tél: +32 (0)65 373111
Courriel: info.mons@umons.ac.be