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Old November 30th, 2015, 01:33 PM
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Default NIT Calicut Msc Maths

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Old February 9th, 2018, 10:42 AM
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Default Re: nit calicut msc maths

Hi buddy here I am looking for National Institute of Technology (NIT) Calicut M.Sc.(Mathematics) program syllabus , so would you plz let me know from where I can get it ??
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Old February 9th, 2018, 10:44 AM
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Default 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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