Numerical Methods Practical applications

Numerical Methods is one of the horridet and formulae filled subject I have ever seen. That being said I sort of detested it. Still the credits that offers is really high and looks tempting as well

Can anyone tell me the practical application in any of the real time devices or techniques where the applications of Numerical methods is seen?

I heard that one way or other it is used for predicting some thing or the other in some coding techniques I am not sure where and how?

Can you please post about the applications of those formulas here and why is it a need for any Electronic Student