Math + CS = 11

These are pretty interesting things in vector calculus. A vector field F is considered conservative if there is a function f such that F=∇f. But why is this cool, you ask. Because conservative vector fields are path independent! And now you may wonder why this is also cool, and that is because we don’t need to calculate anything except for the initial point and the ending point in order to find a value of the path integral! Woot!

Such a property makes conservative vector fields extremely nice to deal with in physics calculations, usually dealing with electricity and magnetism. Instead of having to actually figure out what the integral along the path is, you only need to know the anti derivative of the function and plug in the initial and ending points. Finding the work done by moving a particle or an object from a point A to another point B is also pretty easy to find using conservative vector fields.