I Have Trouble Understanding Physics, Will Higher-Level Math help?

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Discussion Overview

The discussion revolves around the relationship between higher-level mathematics and understanding complex physics concepts. Participants explore whether taking calculus and other advanced math courses will aid in comprehending topics such as relativity, quantum mechanics, and elementary particles. The conversation includes insights on foundational physics knowledge and the importance of sequential learning in physics education.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Homework-related

Main Points Raised

  • Some participants assert that a solid understanding of advanced mathematics, including calculus, differential equations, and linear algebra, is essential for grasping advanced physics topics.
  • Others emphasize the importance of mastering classical physics concepts, such as Newtonian mechanics and electromagnetism, before tackling more complex subjects like quantum mechanics and general relativity.
  • There is a suggestion that rushing into advanced topics without a strong foundation could hinder future understanding.
  • Some participants express reassurance that struggling with advanced concepts at this stage is normal given the current level of mathematical knowledge.
  • Recommendations are made for taking algebra-based physics as a preparatory step before engaging with calculus-based physics courses.

Areas of Agreement / Disagreement

Participants generally agree that a strong mathematical foundation is necessary for understanding advanced physics, but there is no consensus on the best approach to learning these subjects or the timeline for when certain topics should be tackled.

Contextual Notes

Some participants note that the discussion is influenced by individual educational paths and experiences, which may vary significantly. There is also mention of the potential challenges of balancing advanced coursework with other subjects.

Who May Find This Useful

This discussion may be useful for high school students considering a future in physics, educators looking for insights on student preparedness, and anyone interested in the interplay between mathematics and physics education.

mrnike992
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I am a Junior in high school, and am currently considering a career (though highly unlikely to find one, from what I've heard) in physics. I have taken Algebra I, (Adv st.) Geometry, (Adv st.) Algebra II, am currently enrolled in Pre-calc, and will be taking Calculus next year.

I find physics to be incredibly interesting, but have trouble understanding a lot of what I read (about various subjects, ranging from relativity, to quantum mechanics, to elementary particles, etc.).

My question is, would I find it easier to understand these concepts after having taken Calculus? Thanks for any help or insight!

Micheal
 
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The short answer is yes. To understand "advanced" undergraduate physics one needs Calculus I, II, III, differential equations, and linear algebra. More advanced math will be required for elementary particles and relativity, but don't worry about it now.

My advice: take things step by step. If you want to study physics in undergrad, you'll take all that math. In general, one cannot understand the physics without understanding the mathematical language used to express it, and this is a common hitch for people unfamiliar with the study of physics. Take your math courses very seriously and your life will be much easier when you're learning the physics (take it from someone who has had to do a lot of mathematical catch-up)
 
You will have a better understanding once you get the fundamentals down, like classical physics. Understanding quantum mechanics before classical physics seems a little impossible.
 
mrnike992 said:
I find physics to be incredibly interesting, but have trouble understanding a lot of what I read (about various subjects, ranging from relativity, to quantum mechanics, to elementary particles, etc.).

You definitely need to know a lot more math before tackling elementary particle physics, general relativity, and (to a lesser extent) quantum mechanics, calculus itself will not be enough by any means unless you want a really superficial understanding of the underlying physics.

However the (much) bigger issue is you first need to know your Newtonian mechanics and EM cold. At your age it may seem very tempting to just rush through Newtonian mechanics and, probably more rarely through EM (although why would you? EM is in and of itself an incredibly awesome subject to say the least) in order to start learning the ostensibly "flashy" topics in physics but this will only hurt you significantly down the road.

If you use the right textbooks, you'll have a lot of fun with Newtonian mechanics and EM and won't have the desire to just haphazardly learn them so as to jump right into GR, QM etc.
 
WannabeNewton said:
You definitely need to know a lot more math before tackling elementary particle physics, general relativity, and (to a lesser extent) quantum mechanics

So it's not such a terrible thing that I don't quite understand some of the stuff that I'm reading? I'm just trying to make sure that I'm not pursuing something that's unreasonable for me..
 
mrnike992 said:
So it's not such a terrible thing that I don't quite understand some of the stuff that I'm reading? I'm just trying to make sure that I'm not pursuing something that's unreasonable for me..

Gosh no, it's far, far from terrible so don't worry about it even in the slightest. Given your stated mathematical background, absolutely no one would expect you to be able to understand more or less rigorous accounts of QM, GR, etc.
 
mrnike992 said:
So it's not such a terrible thing that I don't quite understand some of the stuff that I'm reading? I'm just trying to make sure that I'm not pursuing something that's unreasonable for me..

Have you taken algebra-based physics yet? I highly recommend it!
 
WannabeNewton said:
Gosh no, it's far, far from terrible so don't worry about it even in the slightest. Given your stated mathematical background, absolutely no one would expect you to be able to understand more or less rigorous accounts of QM, GR, etc.

Well that's EXTREMELY good to hear, it's good to know that will come later.

lisab said:
Have you taken algebra-based physics yet? I highly recommend it!

I have, and am taking calc based Physics next year (in addition to Physics II).

Haha, senior year schedule should be fun:

Calculus (2nd semester is AP)
Physics II
AP Physics (Calc based version of Physics I)
Chemistry II
IB English HL 12th
IB History of the Americas II
Astronomy (1st semester)/Clerical Aide for Physics teacher (2nd semester)
 
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Ya, those english and history classes are going to suck.
 
  • #10
Well, IB Classes are 2 years long, and I'm currently in the first year of both them. Yeah, they're pretty bad. Although, making an A in both is possible with relative ease, so I guess that's all that matters for those classes.
 
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