Integral Calculus of Multivariable Functions: Double integral: Double integral, Fubini s theorem, change of variables, triple integral, change of variables, applications of double and triple integrals. Line integrals: Line integrals of the first kind and applications, line integrals of the second kind and applications, Green s theorem. Surface integrals: Elements from surface theory, surface area, surface integral of the first kind and applications, surface integral of the second kind and applications. Basic theorems of Vector Analysis: Stokes theorem and applications, Gauss s theorem and applications, special vector fields, integral form of divergence and curl, applications of vector analysis.
ECTS : 5
Language : el