• Partial Differential Equations and Solution to First Order Equations • Laplace Transformation and its Inverse, Convolution, Applications of L’Transform in Solving Differential Equations • Partial Differential Equations of Higher Order and Applications • Fourier Transforms and their Applications • Difference Equations, Z-transform and Solution to Difference Equations by Z-transform • Numerical Solution to Equations in One Variable and Simultaneous Equations • Finite Differences, Divided Differences and Interpolation • Numerical Differentiation and Numerical Integration • Numerical Solution to Ordinary Differential Equations of Order One and Order Two • Numerical Solution to Partial Differential Equations • Theory of Sets, Relations and Functions, Partial and Total Order Relation, Lattice, Boolean Algebra • Mathematical Logic, Counting Principles and Recurrence Relations • Algebraic Structures • Graph Theory • Answers and Hints to the Problems in Exercises.