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assignment Level : Introductory
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Key Information

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verified_user Fee-based Certificate
timer 24 hours in total

About the content

Ce cours donne les connaissances fondamentales liées aux fonctions trigonométriques, logarithmiques et exponentielles. Il est articulé autour de 9 chapitres:

  1. L'angle et sa mesure
  2. Les fonctions trigonométriques sinus et cosinus et leurs inverses
  3. Les fonctions trigonométriques tangente et cotengente et leurs inverses
  4. Les formules trigonométriques (addition, bissection, etc)
  5. Les oscillations harmoniques
  6. Les équations trigonométriques
  7. Les relations dans le triangle (théorème du sinus, du cosinus)
  8. Continuité et dérivabilité des fonctions trigonométriques
  9. Les fonctions logarithmiques et exponentielles

Le cours propose une approche très détaillée et précise des notions fondamentales liées aux fonctions trigonométriques, logarithmiques et exponentielles. La présentation des concepts et des propositions est soutenue par une grande gamme de figures et d'animations, ainsi que par des exemples qui illustrent la mise en oeuvre des connaissances acquises.

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Syllabus

  • Connaître les fonctions trigonométrqiues, trigonométriques inverses, logarithmiques et exponentielles.
  • Utiliser les formules trigonométriques, logarithmiques et exponentielles dans des situations multiples.
  • Intégrer et utiliser les outils de l'analyse (symétries, continuité, dérivée) dans ce contexte.
  • Appliquer les connaissances acquieses au calcul de triangles, à l'étude des mouvements harmoniques etc.
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Instructors

Hans-Jörg Ruppen

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Content Designer

École Polytechnique Fédérale de Lausanne

The École polytechnique fédérale de Lausanne (EPFL, English: Swiss Federal Institute of Technology in Lausanne) is a research university in Lausanne, Switzerland, that specialises in physical sciences and engineering.

One of the two Swiss Federal Institutes of Technology, the school was founded by the Swiss Federal Government with the stated mission to:

Educate engineers and scientists to the highest international standing
Be a national center of excellence in science and technology
Provide a hub for interaction between the scientific community and the industry
EPFL is considered one of the most prestigious universities in the world for engineering and sciences, ranking 17th overall and 10th in engineering in the 2015 QS World University Rankings; 34th overall and 12th in engineering in the 2015 Times Higher Education World University Rankings.

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Edx

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