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Muskan Jain posted an Question
March 12, 2020 • 04:54 am 30 points
  • IIT JAM
  • Mathematics (MA)

How do i prepare for iit jam maths.

how do I prepare for IIT jam maths , please help me with the books and routine I have to get used to , to get into one of the top iits

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    Deepak singh 1 best-answer

    there are many direct result which helps a lot in iit

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    Deepak singh 1 best-answer

    just check syllabus, last year papers , and check weak topic .. then focus on weak topics and learn more result

  • Priyadarshan Choursiya Best Answer

    first you need to go through syllabus- Sequences and Series of Real Numbers: Sequence of real numbers, convergence of sequences, bounded and monotone sequences, convergence criteria for sequences of real numbers, Cauchy sequences, subsequences, Bolzano-Weierstrass theorem. Series of real numbers, absolute convergence, tests of convergence for series of positive terms – comparison test, ratio test, root test; Leibniz test for convergence of alternating series. Functions of One Real Variable: Limit, continuity, intermediate value property, differentiation, Rolle’s Theorem, mean value theorem, L'Hospital rule, Taylor's theorem, maxima and minima.  Functions of Two or Three Real Variables: Limit, continuity, partial derivatives, differentiability, maxima and minima.  Integral Calculus: Integration as the inverse process of differentiation, definite integrals and their properties, fundamental theorem of calculus. Double and triple integrals, change of order of integration, calculating surface areas and volumes using double integrals, calculating volumes using triple integrals.  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 equations, variable separable equations, linear differential equations of second order with constant coefficients, method of variation of parameters, Cauchy-Euler equation.  Vector Calculus: Scalar and vector fields, gradient, divergence, curl, line integrals, surface integrals, Green, Stokes and Gauss theorems.  Group Theory: Groups, subgroups, Abelian groups, non-Abelian groups, cyclic groups, permutation groups, normal subgroups, Lagrange's Theorem for finite groups, group homomorphisms and basic concepts of quotient groups.  Linear Algebra: Finite dimensional vector spaces, linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, rank-nullity theorem. Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions, eigenvalues and eigenvectors for matrices, Cayley-Hamilton theorem.  Real Analysis: Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets, completeness of R. Power series (of real variable), Taylor’s series, radius and interval of convergence, term-wise differentiation and integration of power series. ....................................................................... 1. study daily and continuously at least 4-5 hours daily, and understand every topic very well. 2. Do as much as questions, so your topic will make strong and you understand how apply theorems. for it you can read EDUNCLE STUDY MATERIAL which helps you allot. 3. Time management is the key of selection. 4. routine depends on you. but remember that study daily at least 4 hours with full concentration. Advice from my side- Check previous year paper to know which are most scoring portion Complete preparation at least 2 months before exam so you can get enough time to revise and for test series Work on fundamental concepts and do not stuck in proofs Memorise statements and counter examples as they will help a lot in discarding options note that a book contain many things but you must need to read those things first which is in your syllabus. ........................................................................ Diff. Equation by M.D. Rai singhnia and S L Ross Abstract algebra by J. Gallian ( for exercise ) Linear algebra from Schaum's series Sequence and series from Real analysis of golden series by N.P. Bali JAM previous year papers Samvedna publication books for JAM ( have lot of objective type questions and previous year TIFR NBHM questions also ) ( there are many mistakes in answer key and solution of samvedna books. Ignore them) Planning is no less then a good book so make rough plan that what to study in what time and from where to boost score I have used above all books and from my experience are enough to clear jam MA stream Real analysis by R.G. bartle and D.R. sherbert Integral Calculus: F. Ayres (Schaum’s), Gorakh Prasad Vector Calculus: Murray R. Spiegel (Schaum’s), A.R.Vasishtha Linear Algebra: Seymour Lipschitz (Schaum’s), H. Anton, A.R.Vasishtha Ordinary Differential Equation: Peter J. Collins, G.F. Simmons, M.D. Raisinghania. Principle of Real Analysis: S. C. Malik. Real Analysis: H. L. Royden. Modern Algebra: A. R. Vasishtha group theory(part of modern algebra) - Gallian. Best of luck

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    thank you Priyadarshan 😊

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