|Department:||Department of Theoretical Physics|
|Course director:||Zsuzsanna Varga|
|Type of assessment:||K, G|
Vector- and tensor algebra: operations with vectors, components of vectors, definition of second order tensors, operations with tensors, diagonalization, tensor surface, tensors of n-th order. Differentiation of vectors and tensors: scalar and vector fields, gradient, divergence, curl, directional derivative, nabla symbolics, Laplace operator. Pseudotensors, dual tensors. Curvilinear co-ordinate systems, differential operators in curvilinear co-ordinate systems. Integration of vectors and tensors: theorems of Gauss, Stokes and Green.