in which field vector calculus is applied deeply
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It is used to position an object in3D
determine the concentration of a medicine in a person's body over time, taking into account how much substance and how frequently it is taken and how fast it metabolises
Once you've completed differential and integral calculus, multivariable calculus is often next step, and beyond that there is advanced calculus which generalizes calc to multidimensional spaces and uses vector-valued functions. Often concurrent with high level calculus in college courses is linear algebra and differential equations. There's nothing really 'after' calculus, because any topic in mathematics has a myriad of problems, theories, and potential applications to be explored. Calculus is, however, normally the highest level of math taught in US high schools and is a basic required course for any science/engineering major in college.
50 APPLICATIONS OF CALCULUS
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