Mathematics III: Functions of Multiple Variables

5002Mandatory

Course Description

The content of the course is Differential and Integral Functions of Multiple Real Variables. Topics included: Introduction to Euclidean spaces. Multiple Variable Functions – Surfaces. Limits and continuity. Partial derivatives of 1st and higher order. Jacobian matrix. Directional derivative. Vector functions. Differential Operators: Slope, Deviation, Laplace Function. Double integral. Triple integral. Complex integrals. Surface integrals. Implicit functions. Stokes and Gauss theorems. Various coordinate systems (polar, cylindrical and spherical coordinates).

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