To understand the relationship between the force and the potential energy changes associated with that force and to be able to calculate the changes in potential energy as definite integrals. Imagine that a conservative force field is defined in a certain region of space. Does this sound too abstract

This does not sound too abstract

Explanation:

An example of an Imaginative conservative force field defined in terms of a certain region of space is : A gravitational field and it can be expressed as

 and this is because the potential energy in a gravitational field is determined only by the initial and final position of the objects found with the Gravitational field

To determine the change in potential energy  ΔU we will integrate the above equation

hence :  ΔU =  

Hence this does not sound too abstract