Formation ECAM LaSalle Ingénieur spécialité Mécanique et Génie Electrique (ENGINEERING PROGRAM)
General Data
Academic program Formation ECAM LaSalle Ingénieur spécialité Mécanique et Génie Electrique (ENGINEERING PROGRAM) :
Type d'EC Classes (LIIEEng04ESimNumMethods)
Lectures : 12h00
Tutorials : 12h00
Total duration : 48h00 		Status :
Period :
Semester 4		 Education language :
English
Learning Outcomes
To solve mathematical problems numerically through computer programming:
1. Describe a mathematical problem
2. Develop numerical methods for solving the equations
3. Implement an appropriate numerical algorithm using Octave
4. Calculate numerical solutions
5. Estimate numerical calculations errors
6. Provide graphical illustrations
Content
Introduction to numerical simulations, mathematical formulations and computer programming.
Description of classical numerical methods (discretization, Bisection method, Newton's method, Euler's method, Gaussian elimination, curve fitting, numerical integration, numerical differentiation, finite elements)
Implementing appropriate numerical algorithm using Octave.
Numerical approximation and error estimation.
Graphical representation.
Pre-requisites / co-requisites
Mathematics 1, 2 and 3
Computer programming
Simulations and Numerical Calculations 1
Bibliography
Jeffrey R. Chasnov, Introduction to Numerical Methods, 2012
Timmy Siauw, Alexandre M. Bayen, An Introduction to MATLAB Programming and Numerical Methods for Engineers, 2014
ECAM Bibliography
Assessment(s)
N° Nature Coefficient Observable objectives
1Continuous Assessments and Class attendance0,30Involvement, motivations and coding capacities
2Practical work0,1
3Final Project (Report + Codes)0,6Project