Differences in approaching Physics

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Discussion Overview

The discussion revolves around the differences in teaching and understanding physics through algebraic methods versus calculus. Participants explore how these approaches affect comprehension of mechanical problems and the overall learning experience in physics courses.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • One participant expresses frustration with their teacher's confusing methods and suggests that calculus might provide a clearer understanding of physics concepts compared to algebraic approaches.
  • Another participant, who has experienced both algebraic and calculus-based physics courses, argues that the calculus version is clearer and focuses more on physics rather than algebraic manipulation.
  • A different participant raises a concern about the prevalence of problems that require algebraic solutions, questioning the applicability of calculus in those cases.
  • A later reply states that the fundamental equations of physics are differential equations, implying that calculus is essential for a deeper understanding of physics, and references historical figures like Galileo and Newton to support this view.

Areas of Agreement / Disagreement

Participants express differing opinions on the effectiveness of algebraic versus calculus approaches in physics. While some find calculus clearer and more aligned with the nature of physics, others highlight the necessity of algebraic methods for certain problems. The discussion remains unresolved regarding which approach is definitively better.

Contextual Notes

Some participants note the limitations of their experiences, such as not having taken calculus-based physics yet, which may affect their perspectives on the applicability of calculus in solving physics problems.

PrudensOptimus
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The long irratation of my physics teacher for his confusious and mad way of approaching physics lead me to post this with my long cogitating thought of what is the difference between approaching classical physics with calculus and normal algebraic mathematics?

My teacher, a graduate of Columbia who is very talented in both mathematics and physics, except one thing, English grammar.

His tests are sometimes hard to read and most of the time hard to understand. The only way to understand is to memorize examples he randomly spits out after having a drink of cofee in class.

I have a very hard time understanding the mechanical problems on his tests, a lot of equations. However, in my Calculus textbook, I have found things much easier. Velocity, Acceleration, displacement can be found easily with just 1 model from them.

So, is Physics better designed for Calculus rather than normal algebraic equations?(because of many variables).

Please share your thoughts, thanks.
 
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People (like me) who have taken both an algebraic intro to physics (meaning mostly mechanics) and a calculus version, have found the calculus version much clearer. Things where the algebraic manipulation to get the answer becomes the be-all and end-all of the lesson are compared to the same thing where the math is 2 or three lines, a derivative and some simple collection of terms. What you learn in the algebra course is a lot of algebraic tricks. What you learn in the calculus version is the physics.
 
But many problems are given to be solved in normal algebraic equations...I don't see how you can use calculus in those questions. And I haven't taken Physics for Calculus yet so I don't know what are some problems in calculus terms.
 
Originally posted by PrudensOptimus
So, is Physics better designed for Calculus rather than normal algebraic equations?(because of many variables).

The basic equations of physics are differential equations. So you need Calculus to do physics. If you want a feel for how physics was without calculus, read Galileo in e.g. "On the Shoulders of Giants". Newton (and Liebniz) invented calculus in order to be able to progress in physics.
 

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