TEST TYPE 
Modules 
DATE 
Syllabus 
MWT01 
Real Analysis: I 
3Jan23 
Sequences and Series of Real Numbers: convergence of sequences, bounded and monotone sequences, Cauchy sequences, BolzanoWeierstrass 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, termwise differentiation and integration of power series. : limit, continuity, intermediate value property, differentiation, Rolle’s Theorem, mean value theorem, L'Hospital rule

MWT02 
Differential Equations 
6Jan23 
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, CauchyEuler equation.

MWT03 
Linear Algebra I 
090123 
Finite Dimensional Vector Spaces: linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, ranknullity theorem. systems of linear equations, rank, nullity, ranknullity theorem, inverse, determinant, eigenvalues, eigenvectors. 
MWT04 
Integral Calculus 
12Jan23 
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. Riemann integration (definite integrals and their properties),

MWT05 
Group Theory 
15Jan22 
Groups: cyclic groups, abelian groups, nonabelian groups, permutation groups, normal subgroups, quotient groups, Lagrange's theorem for finite groups, group homomorphisms.

MWT06 
Linear Algebra II 
18Jan23 
Matrices: systems of linear equations, rank, nullity, ranknullity theorem, inverse, determinant, eigenvalues, eigenvectors.

MWT07 
Real Analysis: II 
21Jan23 
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, termwise differentiation and integration of power series. Multivariable Calculus & Differential Equations: Functions of Two or Three Real Variabels: Limit, continuity, partial derivatives, maxima and minma.

MWT08 
Group Theory + Linear Algebra 
25Jan23 
Matrices: systems of linear equations, rank, nullity, ranknullity theorem, inverse, determinant, eigenvalues, eigenvectors. Finite Dimensional Vector Spaces: linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, ranknullity theorem. Groups: cyclic groups, abelian groups, nonabelian groups, permutation groups, normal subgroups, quotient groups, Lagrange's theorem for finite groups, group homomorphisms.

MWT09 
Integral Calculus + ODE 
28Jan23 
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, CauchyEuler equation.

MWT10 
Real Analysis (Full Syllabus) 
31Jan23 
Sequences and Series of Real Numbers: convergence of sequences, bounded and monotone sequences, Cauchy sequences, BolzanoWeierstrass 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, termwise 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. Functions of Two or Three Real Variables: limit, continuity, partial derivatives, total derivative, maxima and minima.

FLT01 
Full Length Test 
02Feb23 
As per Exam Pattern 
FLT02 
Full Length Test 
04Feb23 
As per Exam Pattern 
FLT03 
Full Length Test 
06Feb23 
As per Exam Pattern 
FLT04 
Full Length Test 
08Feb23 
As per Exam Pattern 