It gives us a great pleasure in bringing out the First edition of the book Applied Mathematics-I. This book has been written according to the latest modified syllabus prescribed by different technical university for polytechnic students. This bood is an attempt to supply some of the required material and will suit the needs and background of polytechnic students. Each topic has been thoroughly covered in scope, content and also from the examination point of view. For each topic, several worked out examples, carefully selected to cover all aspect of the topic are presented. The book consists of five parts Algebra Trigonometry Co-ordinate Geometry Differential Calculus Integral Calculus This book is uniquelly different from many other books in a number of ways, some of the unique features of the book are as under Each chapter contains an extensive list of exercise and objective type questions. Lucid, simple and conversational language. Systematic and sequential arrangement of different topics. minetly suitable for self study. Author
I extend my sincere gratitude to my family for being extremely cooperative and tolerant during the compilation of this book. We extend our heartily gratitude to Dr. R .K. Jain, Prof. V. K. Dwivedi, Prof. Renu Sarin, Prof. A. K. Shrivastava for taking all pains for bringing out this book. Finally, I would like to acknowledge the reviewers who provide valuable feedback on the manuscript Prof. V. N. Jha, Mr. Pratap Kumar, Mr. Sachin Tyagi, Mr.Dushyant Teotia, Dr. R . K. Pandey, Mr. C. M. Tripathi. Any suggestions towards further improvement of the book are welcome and will be gratefully acknowledged.
1. ALGEBRA 1.1
Series AP and GP Sum, nth term, Mean
Binomial theorem for positive, negative and fractional index without proof . Application of Binomial theorem.
Determinants Elementary properties of determinant of order 2 and 3, Multiplication system of algebraic equation, Consistency of equation, Crammer s rule.