- Créateur de cours: Lazhar Tamer
The purpose of this subject is to give the necessary knowledge concerning the differentiability of a function of several variables, the generalizations of finite increment theorems and Taylor's formula to functions of several variables, the calculus of extrema as well as the calculus of multiple integrals.
- Créateur de cours: laadjal baya
This course in geometry is organised as follows. The first chapter is devoted to the study of parameterized curves. We begin by recalling some definitions of the characterization of a curve as well as the fundamental properties of the curve. We introduce the length of a curve, it is possible to parameterize a curve
by its length. To explain what this parameterization by the curvilinear abscissa represents, the following equations are introduced through a moving frame, the Frenet frame, which is well adapted to the study of skew curves. We highlight the importance of the concepts, the curvature and torsion of a curve. Second
we are interested in the study of parameterized surfaces: such as regular surfaces and differential elements, and we introduce the following concepts (tangent plane and the normal line, to calculate the integral of a continuous function on a surface, the area of a surface, we use the first fundamental form of the surface
which allows us to calculate the length of a curve drawn on the surface). In the last chapter, we are interested in the notions of affine geometry (affine spaces, barycenters, affine varieties, affine applications, affine frames, and affine transformations).
- Créateur de cours: Houas Amrane
Divided into six chapters, this course coversthe subject, Complex Analysis. Its objective is to introduce the notion of a differentiable function of a complex variable, and to study the main properties of these functions and some of their applications. It is intended for second year students LMD mathematics License.
- Créateur de cours: Madani Chemcham