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iitk gate syllabus |
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Re: iitk gate syllabus
GATE is a qualifying exam for admissions to post-graduate programs in Indian institutes of higher education with financial assistance provided by MHRD and other Government agencies. The exam tests the comprehensive understanding of candidate in various undergraduate subjects including Engineering/Technology/Architecture and post-graduate level subjects in Science. The exam, which is conducted online, encompasses 23 papers. The exam papers will have questions for which numerical answers must be keyed in by the candidate using the virtual keypad. IIT Kanpur syllabus for GATE Syllabus for Production and Industrial Engineering (PI) ENGINEERING MATHEMATICS Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigen vectors. Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluation 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 Laplace 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, Poisson,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. |
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