Step 33 of 37
Written or oral exams, usually in analysis, algebra, and topology or geometry. Passing them marks the move from student to researcher.
How to prepare
- Collect past exams from your department
- Work problems daily for three to six months
- Study in a group and present solutions aloud
- Close the gaps in your two or three exam areas
Learn from
- Your department's past exams
- de Souza and Silva, Berkeley Problems in Mathematics
Move on when
You pass.