1	Rn ,space and its properties, structure topological of Euclid space.
2	Functions of several variables and properties.
3	Sequences defined on the space Rn,convergent of infinite sequences,Cauchy's criter.
4	Limit of functions of several variables and basic properties
5	Continuity of functions of several variables ,uniform continuity and properties.
6	Partial derivatives and applications.
7	Directional derivatives, the concept of gradient, Differentiability.
8	Fundamental theorems of differential calculus, tangent plane, the chain rule and implicit function theorem, the derivative of the inverse function.
9	Maximum and minimum concepts for the function of several variables Midterm Exam.
10	Extreme values for a function of several variables defined on restricted domains.
11	Langrage multipliers method.
12	Vector-valued functions and properties.
13	Taylor’s and Maclaurin’s formulas, functions from the space Rm to Rn,limits, continuity and derivatives.
14	Regional transformations, Jacobian, the functional dependence.

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