Introduction to Engineering Mathematics Volume - I : For APJAKTU, Lucknow

• 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

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 (Nth 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