DIFFERENTIAL:Expansion of functions by Maclaurin’s and Taylor’s theorem. Partial differentiation, Euler’s theorem and its application in approximation and errors, Maxima and Minima of function of two variables, Curvature : Radius of curvature, centre of curvature.

Unit II
INTEGRAL CALCULUS :Definite Integrals : Definite Integrals as a limit of a sum , its application in Summation of series, Beta and Gamma Functions , Double and Triple Integrals, Change of Order of Integration, Area,Volume and Surfaces using double and triple Integral.

Unit III

DIFFERENTIAL EQUATIONS :Solution of Ordinary Differential Equation of first order and first degree for Exact differential Equations, Solution of Ordinary Differential Equation of first order and higher degree (solvable for p, x and y, Clairauts Equation), Linear Differential Equations with Constant Coefficients,Cauchy’s Homogeneous differential Equation, Simultaneous differential Equations, Method of Variation of Parameters.

Unit IV
MATRICES :Rank,Solution of Simultaneous equation by elementary transformation,Consistency of System of Simultaneous Linear Equation, Eigen Values and Eigen Vectors,Cayley-Hamilton Theorem and its Application to find the inverse

Unit V
Algebra of Logic, Boolean Algebra, Principle of Duality, Basic Theorems, Boolean Expressions and Functions. Elementary Concept of Fuzzy Logic
Graph Theory : Graphs, Sub graphs, Degree and Distance, Tree, cycles and Network,

References Books: