Study programme 20202021  Français  
Introduction to numerical analysis  
Programme component of Bachelor's in Mathematics à la Faculty of Science 
Code  Type  Head of UE  Department’s contact details  Teacher(s) 

USB2SCMATH021M  Compulsory UE  TROESTLER Christophe  S835  Analyse numérique 

Language of instruction  Language of assessment  HT(*)  HTPE(*)  HTPS(*)  HR(*)  HD(*)  Credits  Weighting  Term 

 Français  30  50  0  0  0  6  6.00  Année 
AA Code  Teaching Activity (AA)  HT(*)  HTPE(*)  HTPS(*)  HR(*)  HD(*)  Term  Weighting 

SMATH208  Introduction to Numerical Analysis  30  40  0  0  0  Q1  
SMATH865  Numerical Analysis: Practical Work  0  10  0  0  0  Q2 
Programme component 

Objectives of Programme's Learning Outcomes
Learning Outcomes of UE
At the end of this teaching, the students will master the basis of numerical analysis in both its mathematical and implementation aspects. They will be able to use their knowledge to solve problems.
Content of UE
Numerical methods for root finding, numerical errors, linear systems, polynomial interpolation and least squares, ordinary differential equations.
Prior Experience
Continuity and differientiability of functions of a single real variable (including the assiated theorems, Taylor expansions,...), ability to solve linear ordinary differential equations with constant coefficients, linear algebra (linear applications, representation in a basis, linear systems,...), basic mechanics (Newton's laws). Ability to program in at least one computer lanbguage. Ability to perform rigorous and precise reasonings.
Type of Assessment for UE in Q1
Q1 UE Assessment Comments
Annual course.
Type of Assessment for UE in Q2
Q2 UE Assessment Comments
The evaluation of the project is worth 15% of the final mark. It is required to pass both the project and the oral exam. If it is not the case, the final mark is min{0.15 P, 0.85 O} where P (resp. O) is the mark on 20 obtained at the project (resp. at the oral exam).
Type of Assessment for UE in Q3
Q3 UE Assessment Comments
The evaluation of the project is worth 15% of the final mark. It is required to pass both the project and the oral exam. If it is not the case, the final mark is min{0.15 P, 0.85 O} where P (resp. O) is the mark on 20 obtained at the project (resp. at the oral exam).
Type of Resit Assessment for UE in Q1 (BAB1)
Q1 UE Resit Assessment Comments (BAB1)
Not applicable.
Type of Teaching Activity/Activities
AA  Type of Teaching Activity/Activities 

SMATH208 

SMATH865 

Mode of delivery
AA  Mode of delivery 

SMATH208 

SMATH865 

Required Reading
AA  

SMATH208  
SMATH865 
Required Learning Resources/Tools
AA  Required Learning Resources/Tools 

SMATH208  Not applicable 
SMATH865  Not applicable 
Recommended Reading
AA  

SMATH208  
SMATH865 
Recommended Learning Resources/Tools
AA  Recommended Learning Resources/Tools 

SMATH208  See the course page. 
SMATH865  Many exercises and exams are avaiable on the UMONS elearning platform. 
Other Recommended Reading
AA  Other Recommended Reading 

SMATH208  Not applicable 
SMATH865  Not applicable 