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What kind of higher math do I need?

  1. May 19, 2013 #1
    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!
     
  2. jcsd
  3. May 19, 2013 #2
    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}##.
     
  4. May 19, 2013 #3

    LCKurtz

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    You would just need calculus. An example of volume changing with time would be an inflating balloon.
     
  5. May 19, 2013 #4
    hmm ok thanks. what about bessel functions, calc also?
     
  6. May 19, 2013 #5

    LCKurtz

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    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.
     
  7. May 20, 2013 #6
    Time to brush up on some math and get another math course methinks :D
     
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