2011)

Mathematiques II

CFU: 5

Langue du contenu:Arabe

Description du cours

Introduction to several variable functions and multiple integrals. Differential equations and systems, series of functions.

Connaissances requises

Differential and integral calculus. Linear Algebra.

Programme

NumericalSeries; series of functions. Taylor and power series. Fourierseries.
Real functions of several variables: limits, continuity and differentiation.
Multiple integrals.
Differential equations: separable variables, first and second order linear equations. Linear differential systems with constant coefficients

Professeur

Professeur non disponible

Enseignant vidéo

Prof. Abdelilah Dahlane - Université Cadi Ayyad (Marrakech - Morocco)

Liste des leçons

• Leçon n. 1: Series of Numbers		Mohamed Kheir Ahmed
• Leçon n. 8: Some types of Convergences		Mohamed Kheir Ahmed
• Leçon n. 11: Functional Sequences		Mohamed Kheir Ahmed
• Leçon n. 14: Functional Series		Mohamed Kheir Ahmed
• Leçon n. 18: Power Series		Mohamed Kheir Ahmed
• Leçon n. 22: Developing of Function in Power Series		Mohamed Kheir Ahmed
• Leçon n. 27: Fourier Series – I		Mohamed Kheir Ahmed
• Leçon n. 30: Fourier Series – II		Mohamed Kheir Ahmed
• Leçon n. 34: Functions of 2 Variables, Topology of R2		Mohamed Kheir Ahmed
• Leçon n. 40: Functions of 2 Variables Limits and Continuity		Mohamed Kheir Ahmed
• Leçon n. 43: Functions of 2 Variables– III		Mohamed Kheir Ahmed
• Leçon n. 46: Functions of 2 Variables – IV		Mohamed Kheir Ahmed
• Leçon n. 49: Gradient as a Normal – Tangent		Mohamed Kheir Ahmed
• Leçon n. 53: Functions of 2 Variables Extreme Values		Mohamed Kheir Ahmed
• Leçon n. 58: Multiple Integral I		Mohamed Kheir Ahmed
• Leçon n. 62: Multiple Integral II		Mohamed Kheir Ahmed
• Leçon n. 67: Multiple Integral III		Mohamed Kheir Ahmed
• Leçon n. 71: Calculus of Vector fields – I		Mohamed Kheir Ahmed
• Leçon n. 76: Calculus of Vector fields – II		Mohamed Kheir Ahmed
• Leçon n. 79: Differential Equations – I		Mohamed Kheir Ahmed
• Leçon n. 82: Differential Equations – II		Mohamed Kheir Ahmed
• Leçon n. 87: Differential Equations – III		Mohamed Kheir Ahmed
• Leçon n. 92: Differential Equations – IV		Mohamed Kheir Ahmed
• Leçon n. 96: Second – Order Linear D. E.		Mohamed Kheir Ahmed
• Leçon n. 97: Differential Equations – V		Mohamed Kheir Ahmed

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Ingegneria Informatica/Information and communication technologies engineering (with Helwan University) (Academic Year 2010/2011)

Mathematiques II