This book contains 6 chapters. Its first chapter explains the basic concepts of sets and numbers etc. The second deals with the sequences and series of real numbers. Third chapter discusses the continuity and differentiations and mean value theorems. Last two chapters are on integration and application of calculus. A unique feature of this book is that each chapter are on integration and application of calculus. A unique feature of this book is that each chapter contains a large number of illustrations which will help the students to understand through analytical approach. The book meets requirements of BSc courses of many Indian universities.