Differences of Classical Mechanics when learned with Calc vs algebra?

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Discussion Overview

The discussion centers on the differences between learning classical mechanics through calculus-based versus algebra-based physics courses. Participants explore how the mathematical framework influences understanding and engagement with the subject matter.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants argue that calculus-based physics is more understandable and interesting compared to algebra-based physics, which they find confusing.
  • One participant expresses a strong preference for calculus, stating that algebra-based classes do not explain the "why" behind concepts, only the "how."
  • Another participant agrees that algebra-based physics is less rigorous and compares it unfavorably to popular science literature, suggesting it relies on restrictive equations.
  • There is a shared sentiment that algebra-based physics lacks depth and fails to engage students effectively with the material.

Areas of Agreement / Disagreement

Participants generally agree that there are significant differences between calculus-based and algebra-based physics courses, with a consensus that calculus enhances understanding. However, there is no consensus on the overall effectiveness of algebra-based courses, as opinions vary widely.

Contextual Notes

Some participants express frustration with the algebra-based approach, indicating that their current exposure to the material is challenging and unclear. There are references to the simplicity of the mathematics involved in algebra-based classes, which may limit the depth of understanding.

martinlematre
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what are the differences? Every example I find usually has a derivative or integral or some kind of calculus defined concept that seems to make it easier or more understandable
 
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How do you mean "calc v algebra"? I don't understand the difference.
 
Do you mean "what's the difference between intro physics calculus vs. intro physics algebra?"

If that's what you mean, the courses are very different.

I had the misfortune of having to take an algebra physics class. In my opinion, without calculus, it's way more confusing.

There should never be an "algebra" based physics class. Calculus makes physics much more interesting and understandable. Until I picked up a calculus text, nothing made sense.

The actual questions you're solving are pretty similar, it's just that in an algebra based class, you're never really told why, just how. Avoid algebra based physics at all costs, because the math used is pretty easy, simple derivatives and integrals, nothing more.
 
Astrum said:
Do you mean "what's the difference between intro physics calculus vs. intro physics algebra?"

If that's what you mean, the courses are very different.

I had the misfortune of having to take an algebra physics class. In my opinion, without calculus, it's way more confusing.

There should never be an "algebra" based physics class. Calculus makes physics much more interesting and understandable. Until I picked up a calculus text, nothing made sense.

The actual questions you're solving are pretty similar, it's just that in an algebra based class, you're never really told why, just how. Avoid algebra based physics at all costs, because the math used is pretty easy, simple derivatives and integrals, nothing more.

wlel I am already in it lol, not making a lot of sense to me (the concepts i am being freshly exposed to)
 
What astrum has said is all true, algebra based physics classes are only one step above pop science books.

And in fact they teach many highly restrictive equations and treat them as general laws, it is very underwhelming.
 

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