# CS GATE Mathematics Online Test

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CS GATE Mathematics 2017-04-12T19:37:38+00:00

## Syllabus

Mathematical Logic: Propositional Logic; First Order Logic.
Probability: Conditional Probability; Mean, Median, Mode and Standard Deviation; Random Variables; Distributions; uniform, normal, exponential, Poisson, Binomial.
Set Theory & Algebra: Sets; Relations; Functions; Groups; Partial Orders; Lattice; Boolean Algebra.
Combinatorics: Permutations; Combinations; Counting; Summation; generating functions; recurrence relations; asymptotics.
Graph Theory: Connectivity; spanning trees; Cut vertices & edges; covering; matching; independent sets; Colouring; Planarity; Isomorphism.
Linear Algebra: Algebra of matrices, determinants, systems oflinear equations, Eigenvalues and Eigen vectors.
Numerical Methods: LU decomposition for systems of l~near equations; numerical solutions of non-linear algebraic equations by Secant, Bisection and Newton-Raphson Methods; Numerical integration by trapezoidal and Simpson's rules.
Calculus: Limit, Continuity & differentiability, Mean value Theorems, Theorems of integral calculus, evaluation of definite & improper integrals. Partial derivatives, Total derivatives, maxima & minima.

#### Analysis of Previous GATE Papers

 Exam Year 03 04 05 06 07 08 09 10 11 12 13 1 Mark Questions 5 5 5 3 4 4 4 6 0 6 6 2 Mark Questions 15 11 10 10 9 10 6 8 5 5 3 Total Marks 35 27 25 23 22 24 16 22 10 16 12

 Exam Year 2014 Set Set 1 Set 2 Set 3 1 Mark Questions 6 5 7 2 Mark Questions 9 8 8 Total Marks 24 21 23