Need to choose between analysis and geometry

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SUMMARY

The discussion centers on a graduate student deciding between enrolling in a differential geometry course, crucial for their thesis and taught by their research advisor, or continuing with a subpar introductory analysis course. The student expresses concerns about the lack of homework and textbook use in the analysis class, which hampers their learning. Ultimately, the consensus leans towards prioritizing the geometry course to maintain a positive relationship with the advisor and to align with their research focus.

PREREQUISITES
  • Understanding of graduate-level differential geometry concepts
  • Familiarity with introductory analysis principles
  • Knowledge of self-directed learning strategies
  • Awareness of academic advisor dynamics
NEXT STEPS
  • Research self-study techniques for advanced analysis topics
  • Explore resources for differential geometry, such as "Differential Geometry of Curves and Surfaces" by Manfredo P. do Carmo
  • Investigate the implications of advisor relationships on academic success
  • Consider enrolling in supplementary analysis courses or workshops
USEFUL FOR

Graduate students in mathematics, particularly those navigating course selections that impact their research and advisor relationships.

quasar_4
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Okay, last question of the day, I promise ;)

I have to choose between two classes to take for the spring: graduate level differential geometry, which is essentially what my thesis is about (and is really important for my research), or the second half of my introductory analysis course. Obviously analysis is REALLY important, but there are some issues with the course - we don't turn in any homework (so I'm not getting any feedback on proofs, ever), and we don't use a textbook, so quite frankly, I'm not learning much anyway - what I do learn, I am learning from a textbook I bought and am reading on my own. So I figure I should take the geometry, and teach myself the rest of analysis or take it as a grad student... but...

would I really be crazy to try to teach myself analysis? Should I take it even though it's not a very strong class? The other problem is that my research advisor is teaching the geometry class and will be mad if I don't take his class. It can be a tricky business to stay on his good side...

so... what do you advise? piss off advisor and take less-rigorous analysis II, or stay in good terms with advisor and self-teach analysis?
 
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kind of a no brainer to take the diff geom class
 

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