Learning outcomes :
The aim is to review and deepen the 6 fundamental chapters that must constitute the basic training of a Pagora engineer so that he can easily understand any scientific or technical article that would use mathematics as a language of description.
All 6 chapters are chosen so as to later understand the mathematics 2 course which uses the Laplace and Fourrier transform. A physical problem is often described by a differential equation. Taking the Laplace transform is equivalent to obtaining a rational fraction of polynomials. Searching for polynomial roots is thus based on complex numbers. The 6 chapters are therefore the following: study of complex numbers, polynomials, rational fractions with their decomposition into simple elements, study of integrals and primitives, recall of linear algebra (eigenvalues, subspaces), linear differential equations of order 1 and 2. We strive to show the links between all its chapters.
Targeted skills: resource teaching to develop solutions and pilot a system
Mathematics knowledge of high-school final year, knowledge of Superior Education in mathematics are obviously a plus
A positioning assignment at the beginning of the year: DSStart (see subject sheet: Mathematics Test 3FMT3065)
If the grade obtained on this assignment is greater than or equal to 10/20, the student is exempt from taking the module. The note will be kept as a note of the subject.
A supervised assignment at the end of the module: DSFinal
All documents are allowed for homework.
The material can be made up in September
The course exists in the following branches:the course schedule for 2018-2019
All books of high-school final year can be a help for students. Other possibilities are the books in mathematics of the two years of Superior Education for example.