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Where is multivariable calculus applied?

  1. Jun 17, 2012 #1
    I have to do a calculus project by researching somewhere it's applied and writing about it and explaining it thoroughly.

    I was thinking multivariable calculus / vector calculus was used in satellite orbit math, but I could not find enough on this.

    Any ideas on where else it's applied that I could possibly write about?
     
  2. jcsd
  3. Jun 18, 2012 #2
    it is used heavily in classical electromagnetism. Look up maxwell's equations.
    And yes it is used in orbits. Classical mechanics.
     
  4. Jun 18, 2012 #3
    Computer Graphics.
     
  5. Jun 18, 2012 #4
    Statistics? Statistical mechanics? Only problem is, maybe those applications start to use very different notations, so harder to recognize the vector calculus? But I don't know enough about those areas to be sure of a connection.
     
  6. Jun 18, 2012 #5
    I agree with cragar that it is used a lot in electromagnetism. Also, partial derivatives and linearizations can be used to estimate values that depends on multiple variables. For instance, a heat index gives the perceived temperature at a certain temperature and humidity. The perceived temperatures at actual temperatures and humidities not given in the table can be estimated with linearizations.
     
    Last edited: Jun 18, 2012
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