University of Liege | Version française
Study programmes 2010-2011Last update : 11/04/2011
MATH0006-2  Introduction to numerical analysis
Duration :  25h Th, 15h Pr
Credits/ECTS :  
Bachelor in engineering sciences, civil engineer orientation (Bachelor in engineering sciences, civil engineer orientation), 2nd yearFirst semester3
Bachelor in computer sciences, 2nd yearFirst semester4
Master in Computer science, Research Focus, 1st yearToute l'année4
Master in Computer Science, Professional Focus (Management), 1st yearToute l'année4
Master in Computer scienceToute l'année4
Holder(s) :  Quentin Louveaux
Language :  French language
Course contents :  Numerical analysis is at the boundary between Mathematics and Computer Science. It consists in studying how to practically obtain in a computer different mathematical concepts studied in other courses.

There are two main types of problems studied by numerical analysis:
- how to actually compute results for which an analytical expression exists but that can be obtained more or less accurately depending on the selected method
- how to compute solutions of real problems for which no analytical solution is known but that can be approximated using a computer.
Course objective :  The course is structured in four main chapters.

Ch 1: Polynomial interpolation and regression
Ch 2: Numerical derivation and integration
Ch 3: Numerical linear algebra and basic linear programming
Ch 4: Non linear systems and some basics about non linear optimization
Prerequisites :  An introductory course on linear algebra and calculus.
Workshops :  Seven traditional tutorials are organized.
Written notes :  The syllabus is available at the CdC.
Assessment :  A written exam.
One theoretical question accounts for 25% of the final grade, the rest being exercises.


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