. "Applied Mathematics"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . "advanced mathematical methods"@en . . "6" . "I. Tensor calculus 1) tensor algebra, 2) tensor analysis: covariant derivative, parallel transport, 3) Lie derivative, Killing vectors, differential forms II. Complex analysis 1) Cauchy-Riemann conditions, 2) Cauchy theorem, 3) residua and its applications, 4) contour integration, 5) Green functions. III. Elements of group theory 1) introduction to discrete and continuous group, 2) basics of representation theory, Schur lemmae, 3) elements of Lie group and Lie algebra theory." . . "Presential"@en . "TRUE" . . "Master in Physics and Astronomy (PandA)"@en . . "https://www.fizyka.umk.pl/panel/wp-content/uploads/PandA_2022_23.pdf" . "180"^^ . "Presential"@en . "no data"@en . . . "2"@en . "FALSE" . . "Master"@en . "Thesis" . "no tuition, other costs may apply" . "Polish Zloty"@en . "20000.00" . "None" . "Graduates of astronomical and physical studies at the Nicolaus Copernicus University successfully find themselves in doctoral schools in Poland and abroad. They are employed as specialists in research centers, they are valued specialists in the operation of advanced devices and computer systems, they are great at popularizing science. They easily learn new skills, are not afraid of difficult challenges and quickly advance to managerial positions. Equipped with knowledge and methods of exploring both the micro and nano-world, as well as the most distant corners of the cosmos, you will easily find a place for yourself in the world of new technologies."@en . "no data" . "TRUE" . "Upstream"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .