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IIT JAM 2018 Mathematics Syllabus

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 : mit, 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 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 – separable 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 Lapla cian. 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, non – abelian groups, cyclic groups, per mutation groups; Normal subgroups, Lagrange’s Theorem for finite groups, group homomorphisms and basic concepts of quotient groups ( only group theory ).

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 ) including Taylor’s and Maclaurin’s, domain of convergence, term – wise differentiation and integration of power series.

86 thoughts on “IIT JAM Mathematics Syllabus 2018

  1. sir, syllabus for statistic(MS)and mathematics(MA) are same or not for jam exam.thanx sayak(2nd yr stat (h)student.

  2. sir i am Bsc., mathematics final year
    Forth semester one subject fail
    clear then fifth semester
    so iam elegiblity in jam 2017

  3. Sir I am student of Delhi university in Bsc course.
    How I prepared for the IIT JAM exam.
    Please suggest me .
    I love mathematics for my core of heart…

  4. hello sir,i am in the 1st year of b.sc and i wanna do my m.sc in mathematics from IITs,so how i prepare for it ..plz guide me..

  5. Sir can i get some suggesition & book’s name in mathematics for jam exam?…….

  6. Sir my name is shreyash sharma. I have. Done Bsc 1st year I want to msc from iit how to I am prepair it

  7. Iam studying B.sc 2nd year. I want to do M.sc mathematics in IIT. Please suggest me some books regarding for this syllabus which are the best to gain details knowledge about this syllabus.

  8. I want to know all tips to crack iit jam entrance in mathematics so please suggest me

  9. How much numbers are require for take chance in IIT jam ? Give me the details of some years. …..

  10. Which books are to be prefer for the IIT jam mathematics students? Pls give me the details….

  11. Hii…& i m doing B.sc pass course & i want to take addmission in iit jam in former years. So please suggest me how to prepare for the former iij jam xam.

  12. Sir i m doing bsc part1 and I want to do IIT jam in mathematics .please suggest me that from when I start my preparation n also suggests about reference books of maths

  13. Sir I am student of bsc part 2 (maths) .please suggest me books for preparation IIT jam .

  14. Sir i am doing bsc part_1 and i want to mathematics in iit jam please suggest me how to prepare the exam

  15. i am doing 2nd B.Sc i want to do M.Sc mathematics in IIT. Sir please suggest me how
    to prepare for the entrance exam jam. Sir please suggest me the reference book for IIT mathematics

  16. i am doing 2nd bsc i want to do MSC mathematics in IIT PIEASE SUGGEST ME HOW TO PREPARE FOR THE ENTRANCE EXAM JAM

  17. Sir please inform me, what’s the scope when I will do m.sc. from IIT .please in details, I am very excited to do something better in my life.is it better than MCA course from NITs

  18. Sir please inform me, what’s the scope when I will do m.sc. from IIT .please in details, I am very excited to do something better in my life.

  19. I am doing 2nd bsc I want to do MSC mathematics in IIT,please suggest me how to prepare for the entrance exam jam.

  20. requested commitee I am very thankful for the information provided by you
    and i want to crack IIT JAM from mathematics so please suggest me the pattern for studying further.rigth now I am a student of b.sc part 2

  21. please suggest me this year Iam studying 2year bsc maths and very interesting to join in IIT so what books I want to prepare and what are the paln for me

  22. sir,please suggest me how I can cover this vast Syllabus.please tell me some books regarding for this syllabus which are the best to gain details knowledge about this syllabus.

  23. I’m studying b.sc maths, when I started to prepare jam exam ,I’m completed by 1st degree in 2018, that time syllable will change or not, Thank you

  24. I have a lot of lnterested for iit jam . Please suggest me for reference books for preparation jam. Thanking you.

  25. sir plesa suggest me how read such that i quality the interence .what types of qustion pattern ..and suggest me for best book of iit jam.i m reading in central university of raj .(ajenr)

  26. Sir please suggest me how i read such that i quality the intrence . And what types of questions i read.

  27. what is the important books prefferred iitjam m.sc.entrance exam with mathematics books

  28. how to prepared iitjam mathematics syllabus books and what is the books prefferred iitjam with mathematics

  29. please suggest me best solved refrence book for preparation of IIT JEM Mathematics with solved questions paper

  30. please suggest best solved ref.book for preparation of IIT JAM with solve que.pepar (MA)

  31. I will very interesting to come in the IIT colleges. Because of this I am study regularly. I like this.
    very nice.

  32. it is good opportunity to know iit syllabus and we want to request you update your regular states to my mail id

  33. suggest some reference book for preparation of iit jam also from which place i can buy solved question paper of MA ….need place name

  34. suggest reference book for preparation of iitjAM also from where i can get solved question paper books…not online need place name

  35. please ask to me what is prosess of admission in IIT JAM collage . and what is the requied in exam. prepration.

  36. I really like your blog.. Excellent information about IIT JAM.. Thank you so much for sharing it…

  37. IIT -JAM Mathematics ka jo syllabus hai vo to bilkul hamare B.Sc. ke math ke syllabus se match karta hai I understand ,that jo bhi student iski taiyari kiya hai vo ish tarah ke entrance ko absorb kar sakta hai …

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