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Mathematical analysis 1 [ LMAT1121 ]


5.0 crédits ECTS  30.0 h + 30.0 h   1q 

Teacher(s) Ponce Augusto ; Van Schaftingen Jean ;
Language French
Place
of the course
Louvain-la-Neuve
Main themes This first part covers basic notions in elementary analysis such as the Real Number System, Elementary Sey Theory, Limit, Continuity, Derivative for real functions. It covers both the concepts, its properties and fundamental results such as the Intermediate Value Theorem, Weierstrass Theorem, Rolle's Theorem and the Mean Value Theorem.
Aims This course aims at developing the following skills: mastery of the language, rigor in the analysis of a proposition, search for relevant examples, precision in the expression and understanding of the various methods of proofs. More precisely, it deals with the mathematical aspects of the notions of continuity, convergence, derivative and integral. It aims at developing the basic methods of explicit resolution of differential equations and it offers an outlook towards fields of applications. This first course in mathematical analysis presents the basic notions and results with rigor and intuition : convergence, continuity, derivative, integral. The lectures will also contain an introduction to explicit solutions for differential equations and openings to various applications fields.
Content The course will contain three parts : synthesis of the basic tools from secondary school, one variable calculus, ordinary differential equations
Cycle et année
d'étude
> Bachelor in Mathematics
> Bachelor in Physics
Faculty or entity
in charge
> SC


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