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

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SUMMARY

The discussion centers on the comparative ease of two undergraduate mathematics courses: Point Set Topology and Numerical Methods. Participants conclude that Numerical Methods is generally easier for students without programming experience, as it focuses on practical applications like numerically integrating differential equations. In contrast, Point Set Topology is more abstract, involving definitions, theorems, and proofs. Ultimately, the choice depends on the student's career goals, with Numerical Methods being more job market-oriented, while Point Set Topology is beneficial for further academic pursuits.

PREREQUISITES
  • Basic understanding of undergraduate mathematics concepts
  • Familiarity with differential equations
  • Knowledge of numerical integration techniques
  • Interest in theoretical versus applied mathematics
NEXT STEPS
  • Research Numerical Methods for solving differential equations
  • Explore Point Set Topology and its applications in analysis
  • Learn programming basics relevant to Numerical Methods
  • Investigate career paths associated with both subjects
USEFUL FOR

Undergraduate mathematics students, academic advisors, and individuals deciding between theoretical and applied mathematics courses.

Cordelia
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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!
 
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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.
 
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