Where is multivariable calculus applied?

[ResolutE]

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?

 

[cragar]

it is used heavily in classical electromagnetism. Look up maxwell's equations.
And yes it is used in orbits. Classical mechanics.

 

[ageralo]

Computer Graphics.

 

[algebrat]

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.

 

[cjc0117]

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.