Differential calculus is probably the greatest mathematical tool ever created for physics. It enabled Newton to develop his famous laws of dynamics in one of the greatest science book of all time, the Philosophiae Naturalis Principia Mathematica. Since then, differential calculus has had countless of other applications, like, for instance, in biodiversity, economics or optimization. It is hard to stress how essential it has become. The present publication has been written in the light of the latest syllabi of several universities. The subject matter has been presented in such a way that it is easily accessible to students. All important propositions have been illustrated by a large number of solved examples and exercises. Most of the examples have been taken from the examination papers of several universities. The method of presentation is very clear and lucid, which can be easily followed by the students. The contents conform to the specified syllabi and are so structured as to enable the student to move easily from the fundamental to the complex.
