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Primarily meant for graduate level students of Mathematics of different universities across India, the book provides the reader with the thorough understanding of the topics included in the UGC syllabus—Leibnitz’s Theorem, Maclaurian and Taylor Series Expansion, Rolle and Mean Value Theorem, Euler’s Theorem, Jacobians, Variables, Asymptotes, Curve Tracing to name a few. The explanation of the subject matter is systematic and all fundamental concepts of the included topics are explained with a micro-analysis. Sufficient number of well-graded solved examples have been given to let the students understand the various skills necessary to solve the problems. Unsolved practise exercises of multiple varieties included in the book will enable the students to have command of the subject. The figures incorporated herein are precise and accurate. These enable the students to grasp the subject matter in an easier way. All the answers have been thoroughly checked and verified. The book will undoubtedly prove useful to students in their study while for the teachers it is an ideal reference source.