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DETAILS:

I work as a programmer. After finishing my Bachelors in Statistics I have to choose a Masters.

AIM:

I want to boost my Math knowledge, both theoretical(I enjoy numerical methods, optimization and topology) and applied(Neural Networks, Models). Maybe write a little bit of code. I guess I would love to do some Data Science work in the future but I believe I have to learn the hard stuff, first .. but getting a better job isn't the reason I am chasing a Masters.

NUMERICAL METHODS/DIFFERENTIAL EQUATIONS:

On the one hand I could study numerical methods, differential equations. I think I will learn a lot about the Finite element method. I like that there will be a lot of code and direct implication in biology/physics models. I also think this would have some implications on my Neural Networks knowledge, as things like the adam optimizator could be explore and I could have a cool practical topic for weather prediction on which I could improvise.

OPTIMIZATION:

On the other hand I could study topology, functional analysis, Game Theory and some other very heavy theoretical math which in the end could result personal clarifaction of how certain phenomenons work. I like how after a lot of theoretical math you get inspired aboutthe world, how you see things from a different perspective. It sound edgy.

I think that some problems like the biological SIR method could be solved with different approaches. I think the two Master degrees would take 2 different approaches for solving this problem, one being very empirical and the other theoretical. Are they contradicting each other in the sense that they are are using different approaches to solve the same problem?

I feel numerical methods is more practical, I feel that the future is numerical methods but I find Optimization more impactful, it sounds harder and just ... more respectful.

QUESTION:

People tell me to choose what I like, but I like both, what would you choose?

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closed as off-topic by Claude Leibovici, Arthur, Ethan Bolker, callculus, Carl Christian Jul 30 at 12:13

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." – Claude Leibovici, Arthur, Ethan Bolker, callculus, Carl Christian
If this question can be reworded to fit the rules in the help center, please edit the question.

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    $\begingroup$ Personal advice (like course choice) is off topic for this site. Do you not have any advisors you could talk to who know you better than random strangers on the internet do? $\endgroup$ – Arthur Jul 30 at 11:19
  • $\begingroup$ Found simillar topics, thought it's not an offtopic. I've asked my "advisors". The idea of this topic is to get arbitrary math people's advice who will have no personal gain of their advice but rather be absolutely objective. Someone with whom I could share my idea. Someone who could understand me :) $\endgroup$ – Harton Jul 30 at 11:29
  • $\begingroup$ The sentiment is nice, but if you look a bit down on the link I gave in my previous comment, you can see that it is explicitly listed as off-topic. Also, the best advice we can give you is "Choose what you like". There really isn't anything more we can say that will help you, because we are all different, and no one here can know which choice will be the right one for you. $\endgroup$ – Arthur Jul 30 at 11:34
  • $\begingroup$ I know that the answer to my question is subjective, I know that the best answer for me is to choose what I like, that's why question is what would you choose? $\endgroup$ – Harton Jul 30 at 11:44
  • $\begingroup$ Ambitious go for optimization, practical go for numerics, both have topology as a mistress. $\endgroup$ – A.Γ. Jul 30 at 12:29