IIT JAM Maths Online Test Series

TEST TYPE

Modules

DATE

Syllabus

MWT-01

Real Analysis: I

23-Dec-24

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.   : limit, continuity, intermediate value property, differentiation, Rolle’s Theorem, mean value theorem, L'Hospital rule,

MWT-02

ODE

26-Dec-24

 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.

MWT-03

Group Theory

29-Dec-24

Groups: cyclic groups, abelian groups, non-abelian groups, permutation groups, normal subgroups,
quotient groups, Lagrange's theorem for finite groups, group homomorphisms.

MWT-04

Integral Calculus

01-Jan-25

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. 

MWT-05

Linear Algebra

04-Jan-25

Finite Dimensional Vector Spaces: linear independence of vectors, basis, dimension, linear
transformations, matrix representation, range space, null space, rank-nullity theorem.

MWT-06

Real Analysis: II

7-Jan-25

Taylor's theorem, Taylor’s series, maxima and minima,
Riemann integration (definite integrals and their properties), fundamental theorem of calculus.  Functions of Two or Three Real Variables: limit, continuity, partial derivatives, total derivative, maxima
and minima. radius
and interval of convergence, term-wise differentiation and integration of power series.  Multivariable Calculus & Differential Equations: Functions of Two or Three Real Variabels: Limit, continuity, partial derivatives, maxima and minma.

MWT-07

ODE + IC

10-Jan-25

 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. ;   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. 

MWT-08

Group Theory + Linear Algebra

13-Jan-25

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.

FLT-01

Full Length Test

16-Jan-25

As per Exam Pattern

FLT-02

Full Length Test

19-Jan-25

As per Exam Pattern

FLT-03

Full Length Test

22-Jan-25

As per Exam Pattern

FLT-04

Full Length Test

25-Jan-25

As per Exam Pattern