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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