Introduction to Engineering Mathematics Volume 1: For All Engineering Colleges of AKTU Lucknow, Uttar Pradesh (12/e)

• The book, divided in Five units, are sub divided in 27 chapters for an in-depth coverage of the recommended syllabus
• Close to 650 examples in the text illustrate all major topics thereby providing ample support to the theory explain
• Close to 900 questions strengthen the well explained theoretical concepts 

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