University of Liege | Version française
Study programmes 2010-2011Last update : 11/04/2011
MATH0002-3  Mathematical Analysis I
Duration :  50h Th, 40h Pr
Credits/ECTS :  
Bachelor in engineering sciences, civil ingineer in architecture orientation, 1st year8
Bachelor in engineering sciences, civil engineer orientation (Bachelor in engineering sciences, civil engineer orientation), 1st year9
Holder(s) :  Eric Delhez
Language :  French language
Course contents :  The course covers the following topics  :
  • Functions of a real variable : limit, continuity, derivative, indefinite integral, Riemann integral,...
  • Ordinary differential equations
  • Functions of several real variables : limit, continuity, differentiation, extrema.
  • Series : numerical series, series of functions, power series.
  • Lebesgue Integral theory : line, surface and volume integrals.
Course objective :  Theoretical justification and use of calculus applied to engineering problems.
Prerequisites :  Basic notions of mathematics : algebraic equations, inegalities, trigonometry, real and complex numbers
Organization :  Lectures : 50 hours - Exercices : 40 hours
First and second quadrimestres
Written notes :  Analyse Mathématique, E.J.M. DELHEZ (2 volumes in french). Lecture notes distributed by the AEES.
Assessment :  A written test in January. A note higher than or equal to 10/20 gives an exemption for the final test. Notes less than 10/20 are discarded.

A written test and an oral test in May/June.

A written test in August/September (retakes).
Contacts :  Eric J.M. DELHEZ
Institut de Mathématique, B37
Tél. 04/366.94.19
E.Delhez@ulg.ac.be
Remarks :  Detailed information at
http://www.ulg.ac.be/mathgen/cours/analyse/analyse.html


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