SAU PhD Maths Questions Papers

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[1][SAU PhD Maths(2019-2014)]SAU PhD MathsQuestions Papers*SAU : South Asian UinversityContents: SAU PhD Maths Que. Paper-2014 SAU PhD Maths Que. Paper-2015 SAU PhD Maths Que. Paper-2016 SAU PhD Maths Que. Paper-2017 SAU PhD Maths Que. Paper-2018 SAU PhD Maths Que. Paper-2019No. of Pages: 118Email: maths.whisperer@gmail.com Download JAM/NET/GATE/SET.etc Que. Papers at https://pkalika.in/que-papers-collection/Telegram: https://t.me/pkalika mathematicsFB Page: https://www.facebook.com/groups/pkalika/

[3][SAU PhD Maths(2019-2014)]South Asian University PhD Admission Syllabus and Sample QuestionsSample Question Paper for PhD Applied MathematicsDetails of SyllabusFormat of the Entrance Test Paper The duration of the Entrance Test will be 2 hours and the question paper will consistof 50 multiple choice questions. Analysis: Real functions; limit, continuity, differentiability; sequences; series;uniform convergence; functions of complex variables; analytic functions, complexintegration; singularities, power and Laurent series; metric spaces; stereographicprojection; topology, compactness, connectedness; normed linear spaces, innerproduct spaces; dual spaces, linear operators; Lebesgue measure and integration;convergence theorems. Algebra: Basic theory of matrices and determinants; eigen values and eigenvectors; Groups and their elementary properties; subgroups, normal subgroups,cyclic groups, permutation groups; Lagrange's theorem; quotient groups,homomorphism of groups; Cauchy Theorem and p-groups; the structure of groups;Sylow's theorems and their applications; rings, integral domains and fields; ringhomomorphism and ideals; polynomial rings and irreducibility criteria; vectorspace, vector subspace, linear independence of vectors, basis and dimensions of avector space, inner product spaces, orthonormal basis; Gram-Schmidt process,linear transformations. Differential Equations: First order ordinary differential equations (ODEs);solution of first order initial value problems; singular solution of first order ODEs;system of linear first order ODEs; method of solution of dx/P dy/Q dz/R;orthogonal trajectory; solution of Pfaffian differential equations in three variables;linear second order ODEs; Sturm-Liouville problems; Laplace transformation ofODEs; series solutions; Cauchy problem for first order partial differential equations(PDEs); method of characteristics; second order linear PDEs in two variables andtheir classification; separation of variables; solution of Laplace, wave and diffusionequations; Fourier transform and Laplace transform of PDEs. Numerical Analysis: Numerical solution of algebraic and transcendentalequations; direct and iterative methods for system of linear equations; matrixeigenvalue problems; interpolation and approximations; numerical differentiationand integration; composite numerical integration; double numerical integration;numerical solution for initial value problems; finite difference and finite elementmethods for boundary value problems. Probability and Statistics: Axiomatic approach of probability; random variables;expectation, moments generating functions, density and distribution functions;conditional expectation. Linear Programming: Linear programming problem and its formulation;graphical method, simplex method; artificial starting solution; sensitivity analysis;duality and post-optimality analysis. Download JAM/NET/GATE/SET.etc Que. Papers at https://pkalika.in/que-papers-collection/Telegram: https://t.me/pkalika mathematicsFB Page: https://www.facebook.com/groups/pkalika/

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SAU PhD Maths Questions Papers Contents: SAU PhD Maths Que. Paper-2014 SAU PhD Maths Que. Paper-2015 SAU PhD Maths Que. Paper-2016 SAU PhD Maths Que. Paper-2017 SAU PhD Maths Que. Paper-2018 SAU PhD Maths

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