Numerical Methods : LU decomposition for systems of linear equations numerical solutions of non-linear algebraic equations by Secant, Bisection and Newton-Raphson Methods Numerical integration by trapezoidal and Simpson�s rules.Ĭalculus : Limit, Continuity & differentiability, Mean value Theorems, Theorems of integral calculus, evaluation of definite & improper integrals, Partial derivatives, Total derivatives, maxima & minima.ĬOMPUTER SCIENCE AND INFORMATION TECHNOLOGYĭigital Logic: Logic functions, Minimization, Design and synthesis of combinational and sequential circuits Number representation and computer arithmetic (fixed and floating point).Ĭomputer Organization and Architecture: Machine instructions and addressing modes, ALU and data-path, CPU control design, Memory interface, I/O interface (Interrupt and DMA mode), Instruction pipelining, Cache and main memory, Secondary storage. Linear Algebra : Algebra of matrices, determinants, systems of linear equations, Eigen values and Eigen vectors. Graph Theory : Connectivity spanning trees Cut vertices & edges covering matching independent sets Colouring Planarity Isomorphism. Set Theory & Algebra : Sets Relations Functions Groups Partial Orders Lattice Boolean Algebra.Ĭombinatorics : Permutations Combinations Counting Summation generating functions Probability : Conditional Probability Mean, Median, Mode and Standard Deviation Random Variables Distributions uniform, normal, exponential, Poisson, Binomial.

Mathematical Logic : Propositional Logic First Order Logic.

Computer Science & Information Technology – CS

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