TY  - BOOK
AU  - Dass, H K
AU  - Verma, Rama
AU  - Verma, Rajnish
TI  - Introduction to Engineering Mathematics
SN  - 9789358701777
U1  - 510 
PY  - 2024///
CY  - Noida
PB  - S Chand and Company Ltd.
N1  - The book "Introduction to Engineering Mathematics I" has been conceptualized specifically according to the New Syllabus (2022 onwards) of A. P. J. Abdul Kalam Technical University (APJAKTU), Lucknow. It covers important topics such as Inverse of a Matrix, Elementary Transformation, Linear Dependence and Independence of Vectors, Solution of System of Linear Equations, Characteristic Equation, Eigen Values and Eigen Vectors, Successive Differentiation (nth Order Derivatives), Curve Tracing, Euler's Theorem for Homogeneous Functions, Jacobians, Beta, Gamma Functions and Properties, Vector Differentiation, Vector Integration, etc. for sound conceptual understanding of students. Latest Question papers have been solved and included in the book. Also, short questions have been added at the end of each chapter for better preparation of examinations
N2  - UNIT 1: MATRICES

1. Inverse of a Matrix, Elementary Transformation

2. Rank of Matrix

3. Linear Dependence and Independence of Vectors

4. Solution of System of Linear Equations

5. Cayley-Hamilton Theorem and Applications

6. Characteristic Equation, Eigen Values and Eigen Vectors

7. Complex Matrices, Hermitian, Skew-Hermitian and Unitary Matrices

8. Applications to Engineering Problems

UNIT 2: DIFFERENTIAL CALCULUS-I

9. Successive Differentiation (Vth Order Derivatives)

10. Leibnitz Theorem

11. Curve Tracing

12. Partial Derivatives

13. Euler's Theorem for Homogeneous Functions

14. Total Derivative

UNIT 3: DIFFERENTIAL CALCULUS-II

15. Expansion of Functions Taylor's and Maclaurin's Theorems for Functions of One and Two Variables

16. Maxima and Minima of Functions of Several Variables

17. Lagrange's Method of Multipliers

18. Jacobians

19. Approximation of Errors

UNIT 4: MULTIPLE INTEGRATION

20. Double Integral

21. Triple Integral

22. Change of Order of Integration

23. Change of Variables

24. Beta, Gamma Functions and Properties

25. Dirichlet's Integral, Applications and Liouville's Extensions of Dirichlet's Integral

UNIT 5: VECTOR CALCULUS

26. Vector Differentiation

27. Vector Integration

Questions from Latest Examination Papers
ER  -