Real Analysis 1
(Fall 2026)

Tips for exam studying

1. Memorize all the definitions, propositions, and theorems.  Definitions are especially important.

2. Revisit the PSets and workshop problems: make sure you can solve all of them on your own.  (If there's even a single one that you can't solve, you can ask me about it in office hours.)

3. For each theorem we learned: ask whether the converse is true, or whether all the hypotheses are necessary.  In this regard, you should know simple counter-examples.

4. Solve problems at the end of the lecture notes or from the textbook.  (You are welcome to discuss any such problems with me during office hours.)

5. Ask yourself lots of "what if?" questions to strengthen conceptual understanding.  (If you don't know what this is or how to do it, just ask me.)