## Real Analysis:

Sequences and Series of Real Numbers: convergence of sequences, bounded and monotone sequences, Cauchy sequences, Bolzano-Weierstrass theorem, absolute convergence, tests of convergence for series – comparison test, ratio test, root test; Power series (of one real variable), radius and interval of convergence, term-wise differentiation and integration of power series.

Functions of One Real Variable: limit, continuity, intermediate value property, differentiation, Rolle’s Theorem, mean value theorem, L’Hospital rule, Taylor’s theorem, Taylor’s series, maxima and minima, Riemann integration (definite integrals and their properties), fundamental theorem of calculus.

## Multivariable Calculus and Differential Equations:

Functions of Two or Three Real Variables: limit, continuity, partial derivatives, total derivative, maxima and minima.
Integral 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: Bernoulli’s equation, exact differential equations, integrating factors, orthogonal trajectories, homogeneous differential equations, method of separation of variables, linear differential equations of second order with constant coefficients, method of variation of parameters, Cauchy-Euler equation.

## Linear Algebra and Algebra:

Matrices: systems of linear equations, rank, nullity, rank-nullity theorem, inverse, determinant, eigenvalues, eigenvectors.
Finite Dimensional Vector Spaces: linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, rank-nullity theorem.
Groups: cyclic groups, abelian groups, non-abelian groups, permutation groups, normal subgroups, quotient groups, Lagrange’s theorem for finite groups, group homomorphisms.

• What is IIT JAM ?

The full form of IIT JAM is Joint Admission Test for Masters which is conducted by one of the participating IITs (Indian Institute of Technology). The aspirants who are interested in pursuing a Master’s Programme from renowned Indian colleges like IITs, NITs, and IISc

• What is IIT JAM MATHEMATICS ?

IIT JAM Mathematics is a entrance test for getting admission to various iit’s and iisc’s for M.Sc. and M.Sc – P.hd. Dual degree.

• Last date to fill up online application form for IIT JAM ?

Online Application portal is closed on October 14, 2021.

• Does IIT JAM Mathematics have Negative mark ?

Yes ,

• Does IIT JAM Entrance Exam conducted online or offline ?

JAM 2022 Examination will be conducted ONLINE only as a Computer Based Test (CBT) for all Test Papers.

• What are the different papers for IIT JAM for which the exam is conducted ?

JAM 2022 will have seven Test Papers, namely –  Biotechnology (BT), Chemistry (CY), Economics (EN), Geology (GG), Mathematics (MA), Mathematical Statistics (MS) and Physics (PH).

• IIT JAM 2022 Exam Pattern ?

All the seven Test Papers of JAM 2022 will be of entirely objective type, with three different patterns of questions, namely (i) Multiple Choice Questions (MCQ), (ii) Multiple Select Questions (MSQ), and (iii) Numerical Answer Type (NAT) questions.

• IIT JAM 2022 Exam Date ?

Exam date for IIT JAM 2022 – February 13, 2022 (Sunday)

• IIT JAM 2022 Admit card release Date ?

Admit card for IIT JAM 2022 will be uploaded on January 04, 2022 (Tuesday)

• IIT JAM 2022 Date of Announcement of result?

IIT JAM 2022 result will be announced on March 22, 2022 (Tuesday)

• IIT JAM 2022 Organising Institute ?

IIT JAM 2022 organised by Indian Institute of Technology Roorkee, For more Do visit official website