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Differential calculation

  • School / Prep

    ENSEIRB-MATMECA

Internal code

EM5AM106

Description

The aim of this course is to give some notions of differential calculus for functions of several real variables.

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Teaching hours

  • CMLectures22h
  • TDTutorial23h
  • TIIndividual work20h

Mandatory prerequisites

The main prerequisite is differential calculus for functions of a single real variable.

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Syllabus

0) Continuous linear and multilinear applications
1) Differentiable functions, partial derivatives,
2) High-order formulas, Taylor formulas, Change-of-variable formulas
3) Extrema problems: free extrema, linked extrema.

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Assessment of knowledge

Initial assessment / Main session - Tests

Type of assessmentType of testDuration (in minutes)Number of testsTest coefficientEliminatory mark in the testRemarks
Final inspectionWritten1201without document without calculator

Second chance / Catch-up session - Tests

Type of assessmentType of testDuration (in minutes)Number of testsTest coefficientEliminatory mark in the testRemarks
Final testWritten1201without document without calculator