Class Description

Course_ID: MYY202

Weekly Hours:5

Semester:2

ECTS Credits:6.5

Course Homepage: http://ecourse.uoi.gr/enrol/index.php?id=1536

Description:Geometry of Euclidean space (vectors, inner product of vectors, determinants, outer product of vectors, polar, cylindrical and spherical coordinates), Functions of many variables, Derivation of functions of many variables (limits and continuity, properties of the derivative, chain rule, slope and direction derivative, complex function theorem and inverse function theorem, higher order derivatives), Extrema of functions of several variables (Taylor’s theorem, extrema of real functions, conditional extrema and Lagrange multipliers), Double and triple integrals (change of order of integration, change of variables theorem), Vector functions (curves and arc length, vector fields, divergence and swirl), Curvilinear and surface integrals (parametrized surfaces, surface area, surface integral of scalar function and vector field), Integral theorems of Vector Analysis (Green’s theorem, Stokes’ theorem, conservative vector fields, Gauss’s divergence theorem).