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MATH-H1002

Analyse I

academic year
2023-2024

Course teacher(s)

Yves DE SMET (Coordinator)

ECTS credits

5

Language(s) of instruction

french

Course content

Elementary differential equations of order 1 and 2. Vector valued functions, parametrized curves. Multivariable functions: limit, partial derivative, differential, Taylor's polynomial approximations, extrema with and without constraints, Lagrange's multipliers, tangent subspaces, gradient. Riemann integrals and line integrals.

Objectives (and/or specific learning outcomes)

Study the basic concepts and tools of real analysis necessary for the engineering sciences in general, as well as developing the ability to go further in mathematics. Prepare for the next analysis course (on vector analysis, differential equation, partial differential equation and Fourier series).

Prerequisites and Corequisites

Required and Corequired knowledge and skills

MATH-H-1004

Cours co-requis

Courses requiring this course

Cours ayant celui-ci comme co-requis

Teaching methods and learning activities

Lectures supported by slides and supervised exercises

Contribution to the teaching profile

Provide mathematical tools and abilities to solve complex scientific problems.

Other information

Contacts

Yves DE SMET
Campus Plaine 2.N3.216
02/650.59.57
yves.de.smet@ulb.be

Campus

Other campus

Evaluation

Method(s) of evaluation

  • written examination

written examination

Written examination in May or June, testing both theory (50%) and exercises (50%).

Mark calculation method (including weighting of intermediary marks)

Mark obtained for the written examination.

Language(s) of evaluation

  • french

Programmes