- 8

- 0

## Main Question or Discussion Point

I will be taking Modern Analysis at Columbia University this summer and would like some suggestions on being as prepared as possible.

I have taken:

I have limited time between the end of the semester and the beginning of the summer session. The following is a list of preparation topics that were recommended on other posts.

Could you please prioritize the list from most important to review to least important to review. In addition, please provide your knowledge of the course content (e.g. professor, math grad student, student taking Analysis, student that has taken Analysis):

Review:

Thank you in advance for you help.

Bizoid

I have taken:

- Non-rigorous Calc I, II, III
- Intro to Probability & Statistics
- Intro to Linear Algebra
- Discrete Math I, II
- Various Computer Science courses
- Differential Equations, and a
- Proof based "Transition to Advanced Math Course" (it covers and introduction to: logic, counting, relationships, and functions.)

I have limited time between the end of the semester and the beginning of the summer session. The following is a list of preparation topics that were recommended on other posts.

Could you please prioritize the list from most important to review to least important to review. In addition, please provide your knowledge of the course content (e.g. professor, math grad student, student taking Analysis, student that has taken Analysis):

Review:

- the course text, by Rudin
- review Calc texts by Spivak / Apostall (clarification on specific topics would be helpful)
- review Analysis books by Spivak / Apostall (clarification on specific topics would be helpful)
- review series & sequences
- review delta epsilon proofs
- practice proof writing (recommendations on a text with basic proof writing problems and, more importantly, lots of detailed solutions would be appreciated.)

Thank you in advance for you help.

Bizoid

Last edited: