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| MATH0002-3

 | Mathematical analysis I

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| Duration : | 50h Th, 40h Pr | |
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| Credits/ECTS : |
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| Holder(s) : | Eric Delhez | |
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| Course contents :
| The course covers the following topics of mathematical analysis :
- Functions of a real variable : limit, continuité, derivative, indefinite and 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.
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| Course objective :
| Theoretical justification and use of calculus applied to engineering problems. | |
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| Prerequisites :
| Basic notions of mathematics : algebraic equations, inegalities, trigonometry, real and complex numbers | |
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| Organization :
| Lectures : 50 hours - Exercices : 40 hours First and second quadrimestres | |
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| Written notes :
| Analyse Mathématique, E.J.M. DELHEZ (2 volumes). Lecture notes distributed by the AEES. | |
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| Assessment :
| Written examination in January. A note higher or equal to 12/20 gives an exemption for the final examination. Notes less than 12/20 are discarded.
Written (exercices) and oral (theory) examination in May/June.
Written examination in August/September (retakes). | |
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| Contacts :
| Eric J.M. DELHEZ Secrétariat: Institut de Mathématique, B37 Tél. 04/366.93.47 - Fax: 04/366.94.89 -
E.Delhez@ulg.ac.be | |
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| Remarks :
| Detailed information at
http://www.ulg.ac.be/mathgen/cours/analyse/analyse_ing.html | |
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