Courses Which subject is easier to pick up? (Undergraduate maths)

  • Thread starter Thread starter Cordelia
  • Start date Start date
AI Thread Summary
Choosing between Point Set Topology and Numerical Methods for a degree completion hinges on personal strengths and career goals. Numerical Methods is generally perceived as easier for most students, particularly those without programming experience, as it focuses on practical applications like numerical integration of differential equations. In contrast, Point Set Topology involves more abstract concepts, including definitions, theorems, and proofs, which may appeal to those interested in theoretical mathematics. For students aiming to enter the job market, Numerical Methods is often the more advantageous choice due to its practical relevance. However, for those considering further academic pursuits, Point Set Topology could provide a solid foundation for advanced studies in analysis and topology.
Cordelia
Messages
1
Reaction score
0
Hello all.To complete my degree, I need to take one of the two alternatives:
1. Point set topology
2. Numerical methods

Which alternative is easier to pick up and do better in? I should mention that I do not have any programming experience whatsoever!
 
Physics news on Phys.org
I should think numerical methods which will involve ordinary math functions being used in numerically integrating differential equations.

Point set topology will involve definitions, theorems and proofs.

Personally, I'd be more comfortable in numerical methods and you'd now learn how to program.
 
Cordelia said:
Which alternative is easier to pick up and do better in?
I think that depends on the person. Probably for the majority of students "numerical methods" would be easier (because less abstract), but I also know mathematics students that would do well in "point-set topology" but for whom "numerical methods" would be an ordeal.

What is it that you would like to do with your undergraduate degree? If you want to enter the job market, I would pick "numerical methods". If you are interested in continuing your studies then, depending on your preferred field, "point-set topology" may be a better choice. In addition to being interesting in its own right, it underpins much of analysis and forms the basis for studying other branches of topology.
 
Last edited:
  • Like
Likes Fredrik and jedishrfu
I’ve been looking through the curricula of several European theoretical/mathematical physics MSc programs (ETH, Oxford, Cambridge, LMU, ENS Paris, etc), and I’m struck by how little emphasis they place on advanced fundamental courses. Nearly everything seems to be research-adjacent: string theory, quantum field theory, quantum optics, cosmology, soft matter physics, black hole radiation, etc. What I don’t see are the kinds of “second-pass fundamentals” I was hoping for, things like...
TL;DR Summary: I want to do a PhD in applied math but I hate group theory, is this a big problem? Hello, I am a second-year math and physics double major with a minor in data science. I just finished group theory (today actually), and it was my least favorite class in all of university so far. It doesn't interest me, and I am also very bad at it compared to other math courses I have done. The other courses I have done are calculus I-III, ODEs, Linear Algebra, and Prob/Stats. Is it a...

Similar threads

Replies
6
Views
2K
Replies
14
Views
3K
Replies
11
Views
2K
Replies
11
Views
2K
Replies
9
Views
2K
Replies
10
Views
2K
Replies
3
Views
2K
Back
Top