Although a number of books dealing with various topics in Engineering Mathematics are available, I think there is a need of a comprehensive book dealing with the basic ideas of Applied Mathematics for the first year Engineering students. This book presented in two volumes is specially designed as a companion for the first and second semester Engineering students.

This book Useful for Engneering Mathematics.

Module-I : Differential Calculus

1. Curvature

2. Indeterminateforms

3. Partial Differentiation

4. Euler’Stheorem On Homogeneous Functions

5. Chain Rule Forpartial Differentiation

6. Jacobians

7. Taylor’S Seriesexpansion Of Functions Of Two Variables

8. Maxima Andminima Of Functions Of Two Variables

9. Error Andapproximation

10. Infinite Series Of Real Numbers

Module- II : Infinite Series

11. Series Of Function And Power Series

12. Successive Differentiation

13. Series Expansion Of differential Functions

Module - III : Matrices

14. Elementary Ideas Of Matrices

15. Rank Of A Matrix

16. Onsolving Systems Of Linear Equations

17. Eigen Values Andeigen Vectors

18. Real Quadratic Forms

Module IV : Fourierseries

19.Fourier Series Of 2P - Periodic Fractions

20. Fourierseries Of 2T - Periodic Fractions

21. Practical Harmonicanalysis

22. Sample Short Questions