Imprint	S. Chand Publishing
Publication Year	2024
Table of Contents	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

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