Struggle in Graduate Analysis course despite 'doing the right things'

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Discussion Overview

The discussion revolves around the challenges faced by graduate students in a rigorous Analysis course, particularly in relation to understanding and constructing proofs. Participants share their experiences with the course material, study strategies, and the impact of personal circumstances on their academic performance.

Discussion Character

  • Debate/contested
  • Homework-related
  • Exploratory

Main Points Raised

  • One participant expresses difficulty in grasping the proofs required in the Analysis course, attributing struggles to the abstract nature of the material and the effects of medication on memory and cognition.
  • Another participant suggests that increased practice with problems is essential, emphasizing that hard work and persistence are key to overcoming challenges in understanding the material.
  • A third participant proposes focusing on definitions and doing numerous problems rather than stressing over complex proofs at this stage, suggesting that familiarity with problems may ease understanding of proofs later.
  • Participants discuss the sedative effects of medication on study habits, noting the need for extended sleep and the resulting limitations on study time.
  • One participant shares a positive experience with a specific book that helped clarify concepts and improve understanding of the "tricks" used in Analysis.
  • Another participant recounts a personal success story related to a problem from the course, highlighting the importance of learning from counterexamples to enhance problem-solving skills.

Areas of Agreement / Disagreement

Participants generally agree on the importance of practice and the challenges posed by the course material. However, there is no consensus on the most effective study strategies, and individual experiences vary significantly, particularly regarding the impact of medication on learning.

Contextual Notes

Participants mention various limitations related to their personal circumstances, including the effects of medication on cognitive function and the need for substantial rest, which may restrict their study time and efficiency.

Who May Find This Useful

Graduate students in Mathematics or related fields facing similar challenges in rigorous coursework, particularly those dealing with mental health issues or medication effects on learning.

  • #61
I've followed along with this entire thread and I'm really saddened to hear that things did not work out. Don't fret through (well it is natural to fret), but don't dwell on it for years or something like that. You have still have a lot of potential and with your mental impairment I'm surprised that you made it as far as you did in the rigid and structured, "be normal or die" environment of academia. My father has Bi-Polar disorder and my entire family essentially has mental illness so I do understand your situation.

There are many opportunities for employment where you can have a comfortable life with a decent salary and just relegate mathematics as a hobby. You can still be incredibly committed to your work on mathematics and maybe even do research every once in a while. I know of a high school teacher who teaches AP Math (where I graduated from high school) who does some research on the side and publishes a paper or two every now and then. He teaches Grade 12 Pure Math, Grade 12 Applied Math, and AP Calculus, and continues along the lines of what he did his undergraduate thesis on (he never went to Grad school).

Do not think that being a high school teacher is a failure if you do end up going that route, and if you do not want to then don't! With an undergraduate degree in Mathematics there are many employment opportunities available for you!

I wish you the best of luck and I hope you continue to update this thread with what you end up doing or let me know sometime in a PM or e-mail. Let me know if you ever want to talk, I would be willing to help support you in any way that I could if you want someone to bounce math ideas off of or whatever!
 
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  • #62
One good thing I have to report is that my professors have been really accommodating with me in this tough time.

They understand that I want to stay until the end of the Semester for the sake of my TA- students, so they have both told me that I don't really need to come to class if I am still feeling under-the-weather. That means a lot to me since, although I haven't gotten 'depressed' or 'psychotic' from all of the bad news, I certainly have been suffering and have been even MORE tired (if that is humanly possible...) than usual.

I feel better than last week, but I won't probably be back to the classroom until the end of the week. But I still teach my TA students since that actually takes my mind OFF of the hardships and makes me happy to see their smiling faces.

There is still no 'official' word as to if I need to take final exams or not, but everyone is being very kind to me, so I am happy. I think NO one in the department wanted it to end this way, but now that it is inevitable, they are trying to keep me happy and stress-free which is very kind.
 

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