If your booster rocket is losing 100 kilograms of mass every second because
it's burning the fuel from its tanks, and the weight of the rocket's mass is
dereasing steadily because the force of gravity decreases steadily as you get
farther away from the center of the Earth, and you need to figure out how
much fuel you need, and which direction to aim the rocket, in order to have
exactly the right speed in the right direction when it reaches exactly the right
altitude to put a satellite into geostationary orbit so that everybody can aim
their little dishes at it and pick up 500 TV channels, THAT's where you need
Calculus. And I won't even go into how and why Calculus is used when people
want to fling a machine off the surface of the Earth and get it to the right
place to land on Mars 6 months later, or fly by Pluto 9 years later !
Calculus is mainly about limits, which in turn are used to calculate the slope of a line (known as the "derivative"; lots of applications for that), and to calculate the area under a curve (the "integral" - also lots of applications for that). For more details, read the Wikipedia article on "Calculus", or read an introductory book on calculus. As prerequisites, you should be well-acquainted with high-school algebra.
Pretty much everything can be applied to calculus, and calculus to everything. If you have ever read the novel "Halo" you can see (in the first book) that Master Chief, had forgotten how much gravity was on the space-craft, and used calculus to determine the acceleration of gravity by timing the drop of a bolt and figuring out everything else. Calculus is especially important for any kind of profession that involves projectiles.
Vector calculus is applied in electrical engineering especially with the use of electromagnetics. It is also applied in fluid dynamics, as well as statics.
Integration can be used to calculate the area under a curve and the volume of solids of revolution.
well derivatives cannt be used without limits so it is application for calculus
Electromagnetic fields, gravitational fields and fluid flow. If you are an engineer you will come across vector calculus to handle three dimensional space.
50 APPLICATIONS OF CALCULUS
Using various forms of Calculus we can work with applications developed by Kepler, Galileo, Copernicus, etc. Calculus depends on algebra and algebra depends on arithmetic.
in which field vector calculus is applied deeply
In Calculus, you learn Limits, Derivatives, Anti-Derivatives and all their applications!
Rosario Urso has written: 'Calculus with applications' -- subject(s): Calculus
At the bachelor's level, it typically requires math analysis, brief calculus with applications, and business statistical analysis.At the bachelor's level, it typically requires math analysis, brief calculus with applications, and business statistical analysis.At the bachelor's level, it typically requires math analysis, brief calculus with applications, and business statistical analysis.At the bachelor's level, it typically requires math analysis, brief calculus with applications, and business statistical analysis.At the bachelor's level, it typically requires math analysis, brief calculus with applications, and business statistical analysis.At the bachelor's level, it typically requires math analysis, brief calculus with applications, and business statistical analysis.
A. J. McConnell has written: 'Applications of the absolute differential calculus' -- subject(s): Calculus of tensors
There are many applications of calculus, and difficulties of these problems may vary therefore there isn't an actual most difficult question.
Richard J. Maher has written: 'Innovative Approaches to Undergraduate Mathematics Courses Beyond Calculus' 'Beginning calculus with applications' -- subject(s): Calculus
Calculus is mainly about limits, which in turn are used to calculate the slope of a line (known as the "derivative"; lots of applications for that), and to calculate the area under a curve (the "integral" - also lots of applications for that). For more details, read the Wikipedia article on "Calculus", or read an introductory book on calculus. As prerequisites, you should be well-acquainted with high-school algebra.
Multivariate calculus is an advanced form of calculus that uses multiple variables. There are several applications, of which one example might be its usage in computer science. In computer science, for example, multivariate calculus is used to determine the scaling of graphics.