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, Frenet's frame. 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
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
Other campus
Evaluation
Method(s) of evaluation
- written examination
written examination
Written examination in May or June, testing both theory and exercises
Mark calculation method (including weighting of intermediary marks)
Mark obtained for the written examination.
Language(s) of evaluation
- french