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Vector Analysis and Multiple Integral (curves, line integrals, multiple integrals) Description

Key Elements

Code

MATH 202

Formation

BS Mathematics

Semester

3

Credits

6

Number of Teaching Hours

30

Number of Tutoring Sessions

30

Number of Laboratory Sessions

0

Content

Objective

1. To define and determine , , . 2. To determine parametric representations of a curve and a surface. 3. To define a flow, a work and to calculate them directly. 4. To know and use the fundamental theorems, Stokes and Ostrogradsky. 5. To explain the direction and the utility of a conservative field.

Content

• Fields of vector : Gradient, divergence, rotational. • Parametric representation of the curves and surfaces. • Polar curves. • Relations between a double integral and a curvilinear integral on a closed loop, formula of Geen-Rieman. • Multiple integral (triple). • Surface integral: Flow, work,… • Fundamental theorems : Stokes and Ostrogradsky. • Conservative fields, fields which derive from a potential. • Applications.