This book contains : 1.Laplace Transforms 2. Inverse Laplace Transforms 3. Solution of O.D.E. using Laplace Transform 4. Fourier Transform 5. Z-Transform 6. Inverse Z-Transform and Solution of Difference Equation 7. Solution of First Order Partial Differential Equation 8. Solution of Linear PDE of Second Order 9. Classification of Second Order PDE 10. Wave Equation Its D'Alembert's Solution 11. Solution of PDE by Separation of Variables 12.Laplacian in Different Co-ordinate System and Solutions. STUDY GUIDE for Civil ENGINEERING : See.... VOL IIIB (Chapter 1,2,3,4,5 &6) and see also....Vol IIIA (Chapter : 5.1) and see also....Vol IV ( set, proposition, logic, p.o set, group, Boolean algebra, Theory of counting). STUDY GUIDE FOR ELECTRICAL ENGINEERING : see....Vol IIIB( Chapter 5&6) and see also Vol IIA (Chapter 1,3,4,6 &7) and see also Numerical Methods- K.Das