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Re: M Phil entrance exam syllabus
As you are asking for Maharshi Dayanand University, Rohtak M Phil entrance exam syllabus, so on your demand I am providing same for you : Probability Theory, Standard discrete and Continuous distributions. Sampling distributions. Standard errors and asymptotic distributions, distribution of order statistics and range. Simple, Partial and Multiple Correlation Coefficients and related tests, Simple and multiple linear regression. Methods of estimation. Properties of estimators. Confidence intervals, Testing of hypotheses. Tests of Significance: Small and Large sample tests. Analysis of discrete data and chi-square test of goodness of fit. Simple nonparametric tests for one and two sample problems. Gauss-Markov models, Analysis of variance and covariance. Fixed, random and mixed effects models. Sampling and Designs of Experiments. Multivariate Analysis, Data reduction techniques: Principle component analysis, Discriminant analysis, Canonical correlation. Stochastic Processes and Queueing Theory-Basics of queues and Markov chains, Markov Process. Numerical Analysis: Numerical solutions of algebraic and transcental equations. Regulafalsi Method, Method of iteration and Newton-Raphson method, Rate of convergence, Finite differences, Interpolatin for equal and unequal spaced interval, Numerical differentiation and integration, Numerical solutions of ODEs using. Picard, Euler, modified Euler and Runge-Kutta methods. Linear programming problem: Simplex methods, duality. Linear Algebra: Vector spaces, subspaces, linear dependence, basis, dimension, algebra of linear transformations. Eigenvalues and eigenvectors, Quadratic forms, reduction and classification of quadratic forms. Complex Analysis: Analytic functions, Cauchy-Riemann equations. Contour integral, Cauchy’s theorem, Cauchy’s integral formula, Liouville’s theorem, Maximum modulus principle, Schwarz lemma, Taylor series, Laurent series, calculus of residues. Maharshi Dayanand University, Rohtak M Phil entrance exam syllabus |
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