What topics in calc-based physics 1 use calculus?

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Discussion Overview

The discussion centers on the application of calculus in a calculus-based physics 1 course, specifically classical mechanics. Participants explore which topics utilize calculus, comparing their experiences with algebra-based physics and discussing the mathematical foundations of various concepts.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant lists motion laws, Newton's laws, work, and simple harmonic motion (SHM) as topics that may involve calculus.
  • Another participant suggests that calculus is primarily used for derivations in physics I, indicating that algebra-based math should transfer to the calculus-based class.
  • Some participants mention that angular motion and gravity may also involve calculus.
  • There is a discussion about how calculus is used to derive equations, such as the force of a spring from the work done, with some participants expressing uncertainty about the extent of calculus application in SHM.
  • Participants note that while the content may be similar to algebra-based physics, calculus provides a deeper understanding of how equations are derived, such as the relationship between force and work.
  • Vector notation, including dot and cross products, is mentioned as an additional topic covered in calculus-based physics, with some participants indicating they learned about these concepts in precalculus.

Areas of Agreement / Disagreement

Participants express a mix of agreement and uncertainty regarding the specific topics that utilize calculus in physics 1. While some common themes emerge, there is no consensus on the comprehensive list of topics or the depth of calculus application.

Contextual Notes

Some participants highlight that their experiences with calculus-based physics were similar to algebra-based physics, but they note differences in the explanation of concepts and derivations. There is mention of varying levels of introduction to vector products in relation to calculus courses.

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Hey guys, I'm wondering what topics in calc-based physics 1 (classical mechanics) actually use calculus. The only few that I can think of are motion laws, Newtons laws, work, SHM(?). Anything else that I'm missing (well I've only taken algebra based physics and calc 1, but I'm wondering what else calculus will be used for in physics 1.)

Does a lot of the math transfer from algebra based to calculus based?


Any input is appreciated.



Note: I know that calculus is used much more in E&M, I don't need that explained, thanks.
 
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shm = simple harmonic motion ie pendulums, springs...
 
You may do a derivative and integral here and there. For the most part, calculus in Physics I is used for derivations. The algebra-based math should transfer over to the calculus-based class.
 
jedishrfu said:
shm = simple harmonic motion ie pendulums, springs...

Lol I know what it is, the question mark was because I wasn't positive calculus is used in it.
 
Probably angular stuff and gravity.
 
The thing is with calculus based physics I, they tell you how all those equations came about using calculus. For example, the equation for spring for F = -kx. They then would tell you in an algebra class that spring work W = 1/2kx^2. This just comes from calculus but instead of telling you where it comes from they just kind of tell you to know it.
 
Woopydalan said:
The thing is with calculus based physics I, they tell you how all those equations came about using calculus. For example, the equation for spring for F = -kx. They then would tell you in an algebra class that spring work W = 1/2kx^2. This just comes from calculus but instead of telling you where it comes from they just kind of tell you to know it.

So they take the derivative of work to get the force of a spring..? If that's the only difference then this class should be a piece of cake lol.
 
that was my experience, it was nearly identical to algebra based physics other than what I previously mentioned, as well as they go over cross and dot product. You know for the work its been Fdcosθ...but they didn't tell you that was from the dot product. Same with using cross product for torque. Some vector notation used and it's nearly the same as an algebra based class.
 
Woopydalan said:
that was my experience, it was nearly identical to algebra based physics other than what I previously mentioned, as well as they go over cross and dot product. You know for the work its been Fdcosθ...but they didn't tell you that was from the dot product. Same with using cross product for torque. Some vector notation used and it's nearly the same as an algebra based class.

Dot/cross products I learned how they're linked in physics in my precalc class lol.
 
  • #10
ok well then you are more than ready for the math portion of physics 1, just the concept part is all you need to learn. For me the dot product/cross product wasn't introduced until third semester of calculus.
 

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