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
