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This book has been written in accordance with the latest syllabus of Anna University, Tamilnadu for the second year (IV Semester) B.E/B.Tech students in mathematics. This book contains three units. Each unit is comprehensive and self contained. Each unit contains a number of worked examples to illustrate the formulae discussed. Each unit contains typical problems in the relevant chapters and a large number of questions at its end. This book is aimed to help fourth semester Engineering students to secure very high mark in Engineering Mathematics.