In the next two semesters, students take introductory-level courses in modern mathematics. The work during this time gives them necessary backgrounds for specializing in their own areas. In the fifth, sixth, seventh and eighth semesters, students should choose their own subjects in which they are interested. In doing so, they must be able to thoroughly explain their reasons for it. This serves the evidence of the students' mastery of material to that point, and thereby motivating them to delve ever deeper into the field.
Modern mathematics is highly abstract and sophisticated.
Therefore students must struggle with it and acquire the mathematical insight of their own. We are ready to give them necessary instructions and advises for this purpose.