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My grades, however, are not so good. I seem to have a strong grasp on the material when I am talking to my professors or peers, but I perform rather poorly on exams.

Here are my grades:

Calculus I-III: A

Calculus IV: B

Linear Algebra: B+

Graph Theory (Graduate): B

I am currently enrolled in Analysis I, Combinatorics, and Mathematical Logic (Graduate). For Analysis, I got a C+ on the last two exams (even though I felt I understood the material well in class and on the homework assignments. Also some of the mistakes were very stupid on my part: for example I forgot to write "arbitrary" for one proof and I accidentally put intersection instead of union, even though it was obvious my argument was contingent on using the union of the sets).

This, and my grades in my math classes, makes me fear that I am not smart enough for this major.

Any thoughts will be greatly appreciated.