Along with the university administration , four of the main faculties - Faculty of Mechanics and Mathematics , the Faculty of Geology , the Faculty of Geography , and the Faculty of Fine and Performing Arts - now are in the Main building . Along with the university administration , the Museum of Earth Sciences and four of the main faculties â `` Faculty of Mechanics and Mathematics , the Faculty of Geology , the Faculty of Geography , and the Faculty of Fine and Performing Arts â `` now reside in the Main building .