# General Mathematics II

**Differential calculus of real valued functions of several variables**

Topology in n-dimensional space

Geometrical picture of a function of several variables

Limits and continuity

Partial derivatives, differentiability, total differentials

Composite function of several variables

Chain rule, Eulers theorem, the mean value theorem, Taylor's theorem

Implicit function of several variables (Jacobians, transformations)

Vector functions of vector variables

Divergence and curl of a vector function

Geometrical application of differential calculus of several variables

Extreme values of a function of several variables

Extreme value problems under constrains

## Homeworks

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