Mathematical Analysis II (Functions of several variables and Vector analysis)
| Code | 9.2.3137.2 |
|---|---|
| Semester | 2nd |
| Category | Obligatory |
| Credits | 6 |
| Class Hours - Lab Hours | 5 - 0 |
| Lecturers | (School of AMPS), Nikolaos Giannakakis (School of AMPS), Ν. Λαμπρόπουλος |
Description
Euclidean space. Limit and continuity of functions of several variables. Derivative of functions of several variables. Clairaut’s theorem for mixed partial derivatives. The chain rule. Jacobian determinant. Vector-valued functions. Differential operators. Directional derivatives. Tangent plane. Taylor's theorem. Implicit functions. Extreme values of functions of several variables. Lagrange multipliers. Double and triple integrals, change of variables, integrals in polar, cylindrical and spherical coordinates. Line and surface integrals of first and second kind. Physical applications. Green's, Stokes' and Gauss' theorems.