• Level of education

    two years of postsecondary education

  • ECTS

    6 credits

  • Training structure

    Faculty of Science

  • Hours per week

    54h

Description

This course builds on the mathematics taught in the first year. It covers the mathematical tools needed by physicists in analysis, in particular functions of several variables, differential operators, generalized and multiple integrals, and sequences and series, including entire and Fourier series.

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Objectives

Learn how to use the mathematical tools used in physics. More specifically, by the end of this course, students will be able to use analytical tools such as differential operators, multiple integrals, and Fourier series, and will know how to apply them to physics problems.  

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Teaching hours

  • Math Tools S3 - CMLecture22.5 hours
  • Math Tools S3 - TutorialsTutorials31.5 hours

Mandatory prerequisites

Calculus (L1)

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Knowledge assessment

CT 100%

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Syllabus

Differential calculus

- Functions of a real variable

- Functions of several variables

- Vector functions

 

Integral calculus

- Simple integrals

- Generalized integrals

- Integrals depending on a parameter

- Multiple integrals

 

Sequels and series

- Digital suites

- Numerical series

- Sequences and series of functions

- Complete series

- Fourier series

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