#1
13th October 2012, 03:04 PM




How to do MSc maths from IITs?
i'm willing to do my MSc maths from IITs. so am i supposed to study other subjects too for JAM?

#2
16th October 2012, 12:55 AM




Re: How to do MSc maths from IITs?
The JAM test paper for those willing to get admission in M.Sc. in Mathematics
comprises of questions from Mathematics only. So, you are not at all required to prepare any other subject as far as JAM for Mathematics is concerned. The syllabus for this, is given as below. Refer it for your preparation. SEQUENCES, SERIES AND DIFFERENTIAL CALCULUS: Sequences and Series of real numbers: Sequences and series of real numbers. Convergent and divergent sequences, bounded and monotone sequences, Convergence criteria for sequences of real numbers, Cauchy sequences, absolute and conditional convergence; Tests of convergence for series of positive terms – comparison test, ratio test, root test, Leibnitz test for convergence of alternating series. Functions of one variable: limit, continuity, differentiation, Rolle’s Theorem, Mean value theorem. Taylor’s theorem. Maxima and minima. Functions of two real variable: limit, continuity, partial derivatives, differentiability, maxima and minima. Method of Lagrange multipliers, Homogeneous functions including Euler’s theorem. Integral Calculus: Integration as the inverse process of differentiation, definite integrals and their properties, Fundamental theorem of integral calculus. Double and triple integrals, change of order of integration. Calculating surface areas and volumes using double integrals and applications. Calculating volumes using triple integrals and applications. Differential Equations: Ordinary differential equations of the first order of the form y’=f(x,y). Bernoulli’s equation, exact differential equations, integrating factor, Orthogonal trajectories, Homogeneous differential equationsseparable solutions, Linear differential equations of second and higher order with constant coefficients, method of variation of parameters. Cauchy Euler equation. Vector Calculus: Scalar and vector fields, gradient, divergence, curl and Laplacian. Scalar line integrals and vector line integrals, scalar surface integrals and vector surface integrals, Green’s, Stokes and Gauss theorems and their applications. Group Theory: Groups, subgroups, Abelian groups, nonabelian groups, cyclic groups, permutation groups; Normal subgroups, Lagrange’s Theorem for finite groups, group homomorphisms and basic concepts of quotient groups (only group theory). Linear Algebra: Vector spaces, Linear dependence of vectors, basis, dimension, linear transformations, matrix representation with respect to an ordered basis, Range space and null space, ranknullity theorem; Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions. Eigenvalues and eigenvectors. CayleyHamilton theorem. Symmetric, skew symmetric, hermitian, skewhermitian, orthogonal and unitary matrices. Real Analysis: Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets; completeness of R, Power series (of real variable) including Taylor’s and Maclaurin’s, domain of convergence, termwise differentiation and integration of power series. The registration process for the exam is in progress. Visit: http://www.iitd.ac.in/ 
#3
16th October 2012, 08:12 AM




Re: How to do MSc maths from IITs?
Quote:
As per your wish of doing M.Sc(math) in IIT here are the following details regarding how to get a seat in IITs and the details of the course DETAILS: Duration: 2 years Eligibility: B.Sc Admission Criteria: Admission through Joint Admission Test for M.Sc (JAM) Score merit AVAILABILITY OF SEATS: visit the link provided below http://gate.iitd.ac.in/jam/files/AppendixI.pdf The minimum score that you should get to secure a seat is not a fixed one and hence try hard and get through it . Wishing you a very good luck 
#4
16th October 2012, 11:07 AM




Re: How to do MSc maths from IITs?
Hi,
If you qualify in JAM (whose names appear in the Merit List) shall be eligible to apply for admission to any of the corresponding academic programmes available at different IITs. If you qualified in IITJAM then you can apply for admission in Top IITs Of India. Here are Top IITs in INDIA: INDIAN INSTITUTES OF TECHNOLOGY's IIT Bombay (IITB) IIT Delhi (IITD) IIT Guwahati (IITG) IIT Kanpur (IITK) IIT Kharagpur (IITKgp) IIT Madras (IITM) IIT Roorkee (IITR) All the best your career 
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