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Analysis and algebra 1 - 1AMMA101

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  • Number of hours

    • Lectures : 78.0
    • Tutorials : 55.5
    ECTS : 8.0

Goals

Mastering basic mathematical tools allowing to follow courses of second year and master the tools necessary to master the understanding of electronics, automation and computer. In addition, students will acquire the essential foundations of mathematics that will be useful in all fields of science: logic, rigor, quality of writing, imagination and perseverance in the search for solutions.

Contact Frederic TRAN MINH

Content

  • Basic knowledge of mathematics: sets, logic
  • Usual Functions, trigonometry
  • Sums and products
  • Complex numbers
  • Sequences of real or complex numbers.
  • Limits, continuity.
  • Local comparison of functions or sequences (equivalents, preponderance)
  • Arithmetics.


Prerequisites

A-level

Tests

1 final exam [E] : 3h (No documents allowed. Calculators are prohibited.)
2 tests [DS]: 1h30 (No documents allowed. Calculators are prohibited.)
3 mini-tests [mDS]: 0h30 (No documents allowed. Calculators are prohibited.)
6 multiple-choice tests : 10 to 20 mn (No documents allowed. Calculators are prohibited.)
8 oral tests [HA] (60mn)
Homework [M]

bonusAlcock(##) A bonus mark can be applied in case of success at the optional reading test of Lara Alcock's book. (+0,00 to +0,25 on the overall mark N1)
bonusmalusHA(##) A bonus/malus mark can be applied related to participation to the "oral test simulations" (-0,25 to +0,25 on the overall mark N1)



Additional Information

Curriculum->First cycle->PSemester 1

Bibliography

  • How to study for a mathematics degree, Lara Alcock, Oxford University Press
  • How to think about analysis, Lara Alcock, Oxford University Press
  • Comment penser comme un mathématicien, Kevin Houston (trad. André Lemoine), De Boeck.
  • Mathématiques tout-en-un MPSI, Deschamps, Moulin, Warusfel, Dunod
  • Mathématiques L1, Marco, Lazzarani et al., Pearson Education
  • Mathématiques ECS 1re année : Le compagnon (Benoist, Rivet, Maffre, Dorat, Touzillier), Dunod
  • Tout ouvrage de mathématiques à destination du premier cycle (filieres : MPSI/PCSI/PTSI/ECS/L1)
  • Qui a peur des mathématiques ? Anne Siety, livre de poche

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Date of update June 25, 2015

French
ESISAR
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