What kind of higher math do I need?

[falcon32]

What kind of higher mathematics do I need to take in order to understand things like the volume of a sphere changing periodically with time? I know the generalized equation for a sphere is x2+y2+z2=r2, but how would time become involved?

Thanks!

 

[Mandelbroth]

What kind of higher mathematics do I need to take in order to understand things like the volume of a sphere changing periodically with time? I know the generalized equation for a sphere is x2+y2+z2=r2, but how would time become involved?

Thanks!

You'd be surprised how much you can do with just basic calculus.

For a sphere in three dimensional space of radius $r$, the volume $V$ is given by $V=\frac{4}{3}\pi r^3$. To find the change in volume over time, I would say that we have to solve the differential equation $\frac{dV}{dt}=\frac{d}{dr}\left[\frac{4}{3}\pi r^3\right]\frac{dr}{dt}=4\pi r^2 \frac{dr}{dt}$.

 

[LCKurtz]

What kind of higher mathematics do I need to take in order to understand things like the volume of a sphere changing periodically with time? I know the generalized equation for a sphere is x2+y2+z2=r2, but how would time become involved?

Thanks!

You would just need calculus. An example of volume changing with time would be an inflating balloon.

 

[falcon32]

You would just need calculus. An example of volume changing with time would be an inflating balloon.

hmm ok thanks. what about bessel functions, calc also?

 

[LCKurtz]

hmm ok thanks. what about bessel functions, calc also?

Calculus is the basis of all analysis. You normally wouldn't encounter Bessel functions until you take a differential equations, partial differential equations, or an engineering math course, all of which require calculus as a prerequisite.

 

[falcon32]

Calculus is the basis of all analysis. You normally wouldn't encounter Bessel functions until you take a differential equations, partial differential equations, or an engineering math course, all of which require calculus as a prerequisite.

Time to brush up on some math and get another math course methinks :D