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NIT Calicut Msc Maths |
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Re: nit calicut msc maths
As you are looking for National Institute of Technology (NIT) Calicut M.Sc.(Mathematics) program syllabus, so on your demand I am providing same here : Brief Syllabus of Core courses MA6301 Real Analysis Real and complex number systems, completeness property, basic topology, Continuity, connect- edness and compactness, differentiation, mean value theorems, Taylor’s theorem, Riemann-Stieltjes integral, fundamental theorem of calculus. Uniform convergence, power series, real analytic functions, transcendental functions, equicontinuity, Stone-Weierstrass theorem. MA6302 Linear Algebra Vector Spaces, subspaces, dimension, linear transformation, isomorphism, matrix representation, dual space, transpose, Cayley-Hamilton theorem, elementary canonical forms, inner-product space, spectral theorems. MA6303 Numerical Analysis Numerical methods for root finding, Direct and iterative methods for solving linear system of equa- tions, Newton method to solve non-linear system of equations, Numerical methods to find Eigenvalues and Eigenvectors, Interpolation, Curve fitting, Numerical differentiation and integration, Numerical methods for ordinary differential equations. MA6304 Ordinary Differential Equations First order differential equations, Existence and uniqueness of solution, linear differential equa- tions and its applications. Series solution of second-order equations, Legendre and Bessel functions, Sturm-Liouville problem. System of ordinary differential equations, matrix methods for linear sys- tems, Autonomous systems, Stability analysis. MA6305 Computer Programming Basics in C , control statements, functions, arrays, pointers, sorting, structures, basics in C ++ , constructors and destructors, dynamic arrays, function overloading, operator overloading, friend functions, virtual functions, inheritance. MA6321 Complex Analysis Analytic functions, conformal maps, Cauchy’s theorem, Liouville’s theorem, Morera’s theorem, singularities, zeros and poles, Laurent’s series, maximum principle, general form of Cauchy’s theorem, homology, residue theorem, argument principle, harmonic functions, mean-value property, Poisson’s formula, Schwarz reflection principle. National Institute of Technology (NIT) Calicut M.Sc.(Mathematics) program syllabus |
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