in which field vector calculus is applied deeply
For Literally Everything.
It is used to position an object in3D
Engineering careers, physicists, mathematicians, economists.
In engineering, Architecture, or CD composer, and finally the main one math teacher.
Vector calculus is applied in electrical engineering especially with the use of electromagnetics. It is also applied in fluid dynamics, as well as statics.
"Electrical Engineering"
The majors that require calculus are all mathematics, science, and engineering majors. These include (but are not limited to) mathematics, mathematics education, science education, biology, chemistry, physics, civil engineering, chemical engineering, biological engineering, electrical engineering, biochemistry, pharmeceuticals, and computer science. So about 99% of students in those majors and related majors will take calculus their freshman year (typically the second semester). I say 99% because calculus is a prerequisite for all other courses in those majors (so it must be taken very early), but there is a very small possibility (I'd say 1% chance) that students can take calculus their sophomore year instead.
regarding substation
Most complex engineering problems cannot be solved without calculus. Force related problems are a great example - how else would you calculate the force exerted on a particle a specific distance from an electrically charged wire?
in which field vector calculus is applied deeply
honors physics / ap physics honors pre-calculus / ap calculus AB/BC honors chemistry engineering mechanics
automatic missile guidence systemi want some mini projects on electrical engineering
For Literally Everything.
CALCULUS
These are the general math courses in an undergraduate program of Mechanical Engineering. Actually, these are also the math courses required in ANY undergraduate Engineering curriculum: Algebra Trigonometry Analytic Geometry Differential Calculus Integral Calculus Mutivariable Calculus Differential Equations
Because calculus is lots of fun! Also because it is useful in science and engineering.