Deriving an equation vs memorizing a formula

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SUMMARY

The discussion centers on the challenges faced by physics students in deriving equations versus memorizing formulas, particularly in the context of magnetism and kinematic motion equations. Participants express that while understanding derivations is crucial, the ability to recreate them independently often requires extensive practice. It is acknowledged that memorization of fundamental equations is necessary for problem-solving, but over-reliance on memorization without comprehension can hinder deeper understanding. The consensus is that this struggle is common among students and can be improved with experience and practice.

PREREQUISITES
  • Understanding of basic physics concepts, particularly magnetism and kinematics.
  • Familiarity with calculus and its application in deriving equations.
  • Knowledge of fundamental physics equations, such as torque and kinematic motion equations.
  • Experience with problem-solving techniques in physics.
NEXT STEPS
  • Explore advanced techniques for deriving physics equations, focusing on torque and magnetism.
  • Study the principles behind kinematic motion equations and their applications in various problems.
  • Practice solving physics problems that require both memorization and derivation of equations.
  • Investigate resources for improving calculus skills relevant to physics applications.
USEFUL FOR

Physics students, educators, and anyone seeking to enhance their understanding of the relationship between derivation and memorization in solving physics problems.

cdotter
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Hi, I'm having a bit of trouble in my second semester of physics. We're covering magnetism right now. I can understand a derivation put before me of, for example, the torque due a current passing through a wire loop. However, I could never recreate this or reach a similar conclusion on my own. I have to memorize equations in order to solve any physics problems.

I know it's a waste of time to re-derive everything on an exam but my point is that I couldn't re-derive if even if I wanted do. Somehow I can understand the derivation but I can't do it on my own.

Am I a deficient physics student because I can't do this? Or is it common among us and something that comes with intense practice and experience?
 
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It's common to me. For example, the kinematic motion equations with constant acceleration: ..once you see, and understand, the calculus associated with the equations, you memorize them...no sense deriving them time and time again, and after awhile the equations are so imbedded in your brain so that you can recite them while sleeping. Same in engineering, I used to know how to derive the equation for Euler Buckling using differential calculus, which was important to know as to understand the principles behind the equation's solution...but now, although i know the formula by heart, I'd be hard pressed to derive it again.
 
It's good to hear that I'm not alone. Anyone else?
 
You may not hear from anyone else since helpers often ignore a problem that is already being responded to. But I want to point out that while you don't have to derive the equation every time, that does not imply you should memorize every equation. Just memorize the basic ones, but then they have to be applied in a given problem on a case by case basis.
 

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