Mathematics is the principal means of communication of all engineers. The world around us, visible with our eyes or under a microscope, runs on principles that engineers first try to decipher and understand so that they could later make use of them in order to design their inventions or improve existing techniques. Without knowledge of mathematics the engineering world would only resemble erratic running in a labyrinth with occasional breaks spent in bouncing their heads against firm walls in despair.
In the course of your studies you will find out that mathematics is the base of every appliance that you use on a daily basis, and that activities that you do as a matter of course such as making a phone call, searching for information on the internet, taking a photograph with your mobile phone, drawing money from an ATM, a fluent drive through a city or taking out travel insurance would not be possible without mathematics. As you will be advancing with your studies, derivatives, integrals, differential equations, integral transforms, algebraic structures, probability distributions, numerical mathematics or optimization tasks will start to pop up in the background of all these natural activities.