Engineering Mathematics-I Ist Semester (Common to all branches)

This book 'Engineering Mathematics-I' is intended to be a textbook for students of first year engineering of Savitribai Phule Pune University. In most Sciences, one generation years down what another has built and what one has established another undoes. In mathematics alone, each generation adds a new story to the old structure. Keeping this in mind, this book is written to have a better introduction of the Applied Mathematics. This book is presented with simple but exact explanation of subject matter, application of each topic to real-life, engineering problems, large number of illustrative examples followed by well graded exercises. We have tried to be rigorous and precise in presenting the mathematical concepts in very simple manner. We hope that the students will not only learn some powerful mathematical tools, but also will develop their ability to understand the concept and apply it properly to solve engineering problems. We feel that faculty members will also enjoy reading this book which is enriched with applications of each topic.

1. Matrices

2. System of Linear Algebraic Equations

3. Eigen Values and Eigen Vectors

4. Complex Numbers

5. Hyperbolic Functions

6. Infinite Series

7. Successive Differentiation

8. Tayloes and 14adaurin's Theorems

9. Indeterminate Forms

10. Partial Differentiation

11. Jacobians