This course is a continuation of Mathematics for Social Sciences II. Differential and Integral Calculus have widespread applications in several areas of the Social Sciences. Therefore this course will prove invaluable to any serious social scientist. Several of the ideas explored in Calculus I will be revisited. However, this time the emphasis will be on rigour. You will be introduced to the proofs of some of the fundamental results of Calculus and will learn how to use these facts to prove other results. Although the emphasis here is on rigour, the computational aspects of the course will not be neglected and will be explored in several real life applications throughout the course