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Algebra and analysis

Objectives

At the end of this module, the student will have understood and be able to :
   
- Determine the different kinds of convergence for number series. Series of functions, power series.
- Find block diagonalization matrix of an endomorphism, manipulate scalar products
and understand the notion of orthogonality in euclidean spaces. Express quadratic forms
as sums of squares.

Needed prerequisite

Analysis and algebra lectures of first year

Form of assessment

The evaluation of outcome prior learning is made as a continuous training during the semester. According ot the teaching, the assessment will be different: as a written exam, an oral exam, a record, a written report, peers review...