B What are the general calculus concepts used in classical physics?

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Differential equations and integrals are fundamental concepts in mathematics, particularly in physics, where they describe various physical laws. Functions can have multiple variables, with derivatives representing rates of change, either as simple or partial derivatives. Integrals can be calculated over different dimensions, including lines, surfaces, and volumes. Most physical laws, such as Maxwell's Equations in electromagnetism, are formulated as differential or integral equations. Understanding these concepts is crucial for applying mathematical principles to real-world problems.
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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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