The book is primarily written to the unifid syllabus 2015 ownward of Mathematics of first semester of all Engineering colleges affiliated to Rajiv Gandhi Prouyo giki vishwavidyalaya, Bhopal. This book also course of B. Tech / B.E. / B.Tech First year course of Indian Engineering Colllage. Keeping in view of the new examination scheme, more than 500 Objective Questions are included at the end of each exercise in this revised edition.

The subject matter is presented in a very systematic and logical manner. Every endeavour has been made to make the contents as simple and lucid as possible. Emphasis has been laid on making the concepts clear. A lot of pains and concentration on the part of the author have gone in solving the examples in the best possible way. In providing the solution of the problems, care has been taken not to miss even minor step so that the students can follow the subject even without the guidance of the teacher.

This book Useful for Engineering Students.

Recaptulation Of Mathematics

1. Basics Of Differentiation

2. Roll’s And Lagrange’s Theorem

3. Tangents And Normals

4. Indefinite Integrals

5. Integration By Substitution And Integration Using Trigonometric Identity

6. Integration By Parts

7. Definite Integral

Ordinary Derivatives & Applications

8. Ordinary Derivatives

9. Expansion Of Functions

10. Curvature

11. Curve Tracing

Partial Derivatives And Applications

12. Partial Differentiation

13. Total Differential Coefficient

14. Maxima And Minima Of Function Of Two Variables

15. Jacobians

16. Approximation Of Errors

Integral Calculus

17. Definite Integrals

18. Beta And Gamma Functions

Application Of Integral Calculus

19. Multiple Integral

20. Change Of Variables, Change Of Order Of Integration

21. Area, Volume And Surface

22. Triple Integration

23. Volume By Triple Integration