Deciding Between Math and Physics: Which is the More Challenging Major?

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SUMMARY

The discussion centers on the comparative difficulty of majoring in Mathematics versus Physics. Participants agree that both fields present significant challenges, with Physics requiring a strong foundation in Mathematics. While some argue that Physics is harder due to its practical applications and reliance on experimental methods, others highlight the complexities within pure Mathematics that can be daunting. Ultimately, the consensus is that both majors are equally challenging in their own right, depending on individual strengths and interests.

PREREQUISITES
  • Understanding of basic concepts in Mathematics and Physics.
  • Familiarity with differential equations and their applications.
  • Knowledge of the distinctions between pure and applied Mathematics.
  • Awareness of experimental methods in Physics versus theoretical approaches in Mathematics.
NEXT STEPS
  • Explore the differences between pure and applied Mathematics.
  • Study the role of differential equations in both Mathematics and Physics.
  • Research the concept of "existence and uniqueness" in Mathematical solutions.
  • Investigate the significance of experimental methods in Physics education.
USEFUL FOR

Students considering a major in Mathematics or Physics, educators in STEM fields, and anyone interested in understanding the challenges and distinctions between these two disciplines.

OptimusPrime
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Which is harder to major in, Math or Physics? And why?

I haven't touched Physics since High School but, by seeing the problems that are posted here, I would last, oh maybe, 44 minutes as a Physics major.


Viva Mathematicas!
 
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OptimusPrime said:
Which is harder to major in, Math or Physics? And why?
I haven't touched Physics since High School but, by seeing the problems that are posted here, I would last, oh maybe, 44 minutes as a Physics major.
Viva Mathematicas!

:smile: I think knowing good physics requires a great deal of mathematics.But there are problems in mathematics a physicist wouldn't touch not even for 1mil.$.On the other hand,the mathematician could deal with any problem of physics,but he certainly lacks the "sense of reality" which a phyisicist has when he sees what lies behind awful equations.

My answer is:both are the same wrt to difficulty,and much more difficult than anything else.

Daniel.
 
For me, Maths.. I could never be a mathmo. Physics isn't easy for me, no, but there's Maths stuff that I have trouble understanding now and I'd hate to see even more complicated things!
 
In many ways a Physicist can be viewed as an Applied Mathematician. In that sense you are asking what is more difficult, Math or Math?

You must realize that the there can be large distances between the pure math fields and the Applied areas. Mathematics covers a lot of territory, an Applied Mathematician may have little interest in some of the pure areas, like wise a Pure Mathematician peers down his nose a bit at the Applied areas. Your question is really impossible to answer in a meaningful way.

BTW: I have done some study in both Applied Math and Physics. In Physics you study in detail the solutions and application of some specific differential Equations. In Applied math you study some of the same equations, but in a more general sense. Mathematicians are more concerned with existence and uniqueness along with the other fundamental properties of the solution.

In Physics you know that a solution exists because that is the physical phenomena you are studying, and anyway the mathematicians have done the necessary proofs.
 
Take note that there are no "experimentalists" in mathematics! Such concepts and skills required as an experimentalist are completely foreign to mathematicians.

Zz.
 
I prefer Physics since there's a sense of realism in it whereas Maths is just all theoretical.
 
I am impressed with how PF member Matt Grime can step into a thread about some difficult pure math (or "maths" as they say in the UK) problem and point the way to the solution. But I am pretty sure that he never gets involved in mathematical questions that arise in the physics part of the forum. I have sometimes wondered if that is because he doesn't read any parts of the forum other than the math part, or is it because the types of mathematics that come up in physics applications are outside of his area of math specialization?
 
OptimusPrime said:
Which is harder to major in, Math or Physics? And why?
Physics is harder. If you major in physics then you'll end up taking almost as much math as the math majors. I had to take so many math courses the I figured "what the heck" and took math courses for electives and had a second major in math. The extra work wasn't too bad.

Pete
 
Physics is much harder.
 

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