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.
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.
Teaching hours
- Math Tools S3 - CMLecture22.5 hours
- Math Tools S3 - TutorialsTutorials31.5 hours
Mandatory prerequisites
Calculus (L1)
Knowledge assessment
CT 100%
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