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MATH0006-1

Numerical analysis (1re part)

[ version française ]

Duration :20h Th, 40h Pr
Credits/ECTS :
2nd "candidature" in civil engineer in architecture5,5
2nd "candidature" in civil engineer in architecture6
2nd "candidature" in computer6
required preliminary complement to register in the "licence" in computer6,5
3rd year of the 5 year degree in civil engineering in geology for "licenciés" in geological and mineralogical sciences5
Holder(s) :François‑Xavier Litt
Course contents : Numerical problems and algorithms, numerical instability.
Numbering systems, condition numbers, estimation and control of the errors.
Linear systems: Gauss method, LU decomposition, particular systems, analysis of errors, iterative methods.
Least squares: normal equations, orthogonalisation.
Singular values.
Eigenvalues: power method, Jacobi method, QR algorithm.
Nonlinear equations: Picard iteration, first order methods, Newton-Raphson method, polynomial equations.
Course objective : To give students basic notions for scientific computing.
Prerequisites : Knowledge of mathematical analysis and linear algebra.
Workshops : During the second semester:
Practical lessons during the 10 first wednesdays of the semester from 10:30 to 12:30 in small working groups. These groups shall be formed during the first lecture.
By groups also, 5 two hours laboratories. A test will be given during the fifth laboratory.
The schedule of the laboratories will be announced at the beginning of the semester.
Organization : During the second semester:
Lectures during tht 10 first wednesdays of the semester from 8:30 to 10:30 for the whole students at once.
Working lessons and laboratories as above.
Written notes :
  • Working books:
    Analyse numérique, première partie, F.X. Litt; for sale at AEES.
    Analyse numérique, première partie, Manuel d'exercices, C. Bernard et al.; for sale at AEES.
    Analyse numérique, première partie, Manuel de laboratoire, F.X. Litt; for sale at AEES.
  • Recommended readings: see list in the first of the working books.
Assessment : 1st session (June): laboratory: 20%, written exam: 80%, no oral exam.
2nd session (September): written exam: 100%, no oral exam.

The written exam has two parts of equal importance for the grade:
-exercices, at closed book (a calculator is absolutely necessary), lasting 2:30.
-QCM with certainty coefficients, at closed book, on the theory, lasting 1:30.

These two parts cannot be dissociated, no grade is ever given for just one part alone.
Contacts : Teacher : F.X.Litt, Institut Montefiore, B28, Sart Tilman, 4000 Liège; Tél. 04/366.26.92 ; Fax 04/366.28.74 ; e-mail FX.Litt@ulg.ac.be.

Secretary : M.T.Ratz, Tél 04/366.26.81; e-mail MT.Ratz@ulg.ac.be.

Assistants : D. Detry, V. Leroy, C. Thiernesse.

Teaching assistants: M. Bonjean, F. Guillaume, G. Willems, T. Zangerle.

NB: Modification to these lists of assistants and teaching assistants can occur during the academic year.
Remarks : -Every attributed grade (even partial, i.e. laboratory or oral exam) can be maintained.
-The students following this course as "free auditors" must always (even if the written exam is taken in September) have done the laboratories.


 




ULg : Students and Studies Administration - Academic Affairs
Contact : Monique Marcourt, direction A.E.E.
Date of data : 8/04/2005
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