Akademik Dersler - İçerik

define curves and their related elements, do calculations concerning them.
Define derivation of functions of several variables, directional derivatives and their related elements, calculate Jacobian matrices of functions of several variables.
Evaluate multiple integrals (double and triple integrals).
Define vector fields (gradient, divergence, rotational).
Evaluate the integrals of functons and vector fields on surfaces.
Express and prove Stokes's and Divergence Theorems.
Define differential forms on R^n and know basic properties of differential forms.
Define exterior derivative and know basic properties of the induced mappings.
Use Stokes's Theorem for integrals of differential forms.