Applied mathematics

The aim of this course is to study the tools needed to solve problems in the physics, chemistry and RDM of materials.

Have followed and acquired a Mathematics program at DUT Mesures Physiques level

Complex numbers

Introduction to complex numbers
Complex analytic calculus and geometry
Solving algebraic equations with complex coefficients
Applications


Multivariable functions

Definition and notion of partial derivatives derivatives
Exact differential forms


Integrals

Calculation of primitives and simple integrals (classical cases)
Introduction of double and triple integrals
Approximate calculation of an integral


differential equations

differential equations of the first order differential equations of the first order
differential equations of the second order
Applications


Limited developments

Determining limited developments in the vicinity of zero
Applications for calculating limits and tangent equations tangents


Multivariable functions

Definition and introduction of the partial derivative
Differential forms and exact differential forms


Linear algebra and matrix calculus

Elementary matrix calculus
Supplements : Vector spaces...
Calculation of eigenvalues and eigenvectors

Physics

J.D.ASTIER, B.BOUCHON, P.FAURE Mathématiques Tome 1 et Tome 2 Nathan
Exo7 (see exo7.emath.fr) maths lessons corrected exercises