What are the general calculus concepts used in classical physics?

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Discussion Overview

The discussion centers on the general calculus concepts utilized in classical physics, exploring the relevance of differential equations and integrals in formulating physical laws and principles.

Discussion Character

  • Exploratory, Technical explanation

Main Points Raised

  • Some participants highlight the importance of differential equations and integrals in classical physics.
  • One participant elaborates on the concept of functions of multiple variables, including the need for partial derivatives when dealing with functions that have more than one independent variable.
  • The same participant discusses the significance of integrals, noting their application over various dimensions such as lines, surfaces, and volumes.
  • Another participant emphasizes that many physical laws are expressed as differential or integral equations, citing Maxwell's Equations as a key example that can be represented in both forms.

Areas of Agreement / Disagreement

Participants generally agree on the relevance of differential equations and integrals in classical physics, but the discussion does not resolve the depth or breadth of calculus concepts that may be applicable.

Contextual Notes

The discussion does not address specific assumptions or limitations regarding the application of calculus concepts to various areas of classical physics.

DeltaForce
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TL;DR
What are the key calculus concepts used in classical physics mechanics?
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Differential equations and integrals.
Ask a generic question and you'll get a generic answer.
 
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The concept of a function of one or many variables (up to 4 independent variables , three for the spatial coordinates x,y,z (or ρ,θ,φ in spherical coordinates) and one for the time coordinate),

The concept of derivative of the function (partial derivatives in the case the function has many variables or simple derivative in the case our function has only one independent variable)

The concept of integral of a function (integral over a line or a curve, over a surface, or over a volume)

Almost all physical laws come in the form of differential equations (equations that contain functions and partial or simple derivatives of functions) or integral equations (equations that contain functions and integrals of the functions). The most typical example are Maxwell's Equations in classical electromagnetism which can be expressed both as partial differential equations and as integral equations.
 
Anachronist said:
Differential equations and integrals.
Ask a generic question and you'll get a generic answer.
Thanks, that's what I was looking for.
 

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