• ECTS

    4 credits

  • Component

    Faculty of Science

Description

This course is an introduction to the differential calculus of functions in several variables. It is intended for first-year PCSI students and provides an introduction to the mathematical tools used - among other things - in thermodynamics.

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Objectives

- Notion of functions onR2 andR3: graphs, contour lines, partial functions.

- Partial derivatives and differential. Properties and formulas. Schwarz theorem.

- Curves in dimensions 2 and 3 (basic concepts: velocity vector, parameterization, composition with a function).

- Notion of vector field; example: gradient.

- Notion of 1-shape on a plane domain. Closed and exact forms. Integration along a path.

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Teaching hours

  • Outils Mathématiques 2 - CMLecture18h
  • Outils Mathématiques 2 - TDTutorial18h

Necessary prerequisites

High school mathematics program + EU Mathematical Tools 1.

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Knowledge control

Prerequisites*:1 continuous assessment (written) + 1 final exam (written).

Recommended prerequisites*: Expert mathematics option.

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Further information

Content manager: laurent.guieu@umontpellier.fr

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