ME GATE Mathematics Online Test

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

Syllabus

Linear Algebra: Matrix algebra, Systems of linear equations, Eigenvalues and eigenvectors.
Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evalutions of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems.
Differential equations: First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Cauchy's and Euler's equations, Initial and boundary value problems. Laplace transforms, Solutions of one dimensional heat and wave equations and Lapa Ice equation.
Complex Variables: Analytic functions, Cauchy's Integral theorem, Taylor and Laurent series.
Probability and Statistics: Definitions of probability and sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Possion, Normal and Binomial distributions.
Numerical Methods: Numerical solutions of linear and non-linear algebraic equations Integration by
trapezoidal and Simpson's rule, single and multi-step methods for differential equations.

Analysis of Previous GATE Papers

Exam Year 03 04 05 06 07 08 09 10 11 12 13
1 Mark Questions 3 3 5 4 4 6 4 5 5 5 5
2 Mark Questions 6 5 10 8 8 9 8 3 4 5 5
Total Marks 15 13 25 20 20 24 20 11 13 15 15

 

Exam Year 2014
Set Set 1 Set 2 Set 3 Set 4
1 Mark Questions 5 5 5 5
2 Mark Questions 4 4 4 4
Total Marks 13 13 13 13

 

Exam Year 2015
Set Set 1 Set 2 Set 3
1 Mark Questions 4 4 6
2 Mark Questions 3 4 5
Total Marks 10 12 16