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Real Analysis (Test Package NET/JRF)

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Previous Year Questions
01.Countable and Uncountable(PYQ)
02.Point Set Topology(PYQ)
03.Seqance of Real Numbers(PYQ NET JRF )
04.Series of Real Numbers (PYQ NET/JRF GATE)
05.Limit & Continuity of function of one variable(PYQ TIFR IIT-JAM)
06.Limit & Continuity of function of one variable( PYQ NET/JRF ,GATE)
07.Lipschitz Continuity,uniform continuity(PYQ)
08.Differentiable of function of one variable(NET
09.Riemann Integral and Bounded Variation(PYQ)
10.Sequences of functions (PYQ )
11.Series of functions((NET/JRF NBHM, GATE) (PYQ )
Test Paper
01.Real Analysis Practice Test-01 (Countable and uncountable sets)
02.Real Analysis Practice Test-02 (Point Set Topology)
03.Real Analysis Practice Test-03 (Sequences of Real Numbers)
04.Real Analysis Practice Test-04 (Series of real Numbers)
05.Real Analysis Practice Test-05 (Function of one variables)
06.Real Analysis Practice Test-06 (Uniformly continuity)
07.Real Analysis Practice Test-07 (Differentiable function)
08.Real Analysis Practice Test-08 (Function of Bounded Variation & Riemann Integral)
09.Real Analysis Practice Test-09 (Sequences of functions)
10.Real Analysis Practice Test-10(Series of functions)
11.Real Analysis Practice Test-11(Function Of Several Variables)


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Linear Algebra: (Test Package NET/JRF)

This Test Package Consisting of Chapter Wise and Subject Wise Test papers of Linear Algebra and Previous Year Question Papers of Linear Algebra with Videos Solutions, Below Is the Detail for Chapter Test Papers and Previous Year Questions
Previous Year Questions
01.Vector Spaces, Subspaces (PYQ)
02.Dimension and Counting GATE,TIFR,CMI,NBHM (PYQ)
03.Linear Transformation(PYQ-01)
04.Linear Transformation(PYQ-02)
05.Linear Transformation(PYQ-03)
06.System of Linear Equations(PYQ)
07.Eigen Value or Eigen Spaces(PYQ-01)
08.Eigen Value or Eigen Spaces(PYQ-02)
09.Eigen Value or Eigen Spaces(PYQ-03)
10.Eigen Value or Eigen Spaces(PYQ-04)
11.Diagonalizable Linear Operator (PYQ NET/JRF)
12.Diagonalizable Linear Operator (PYQ GATE.TIFR)
13.Diagonalizable Linear Operator (PYQ CMI,NBHM)
14.Bilinear Form and Linear Functionals
15.Quadratic Form and Its Properties (PYQ)
16.Inner product spaces(Previous Year Questions)
Test Paper
01.Vector Spaces, Subspaces,Linear Combination , Spanning Set(SWT-01)
02.Linearly independent sets , Linearly Dependent sets, Properties on FGVS, NFGVS(SWT-02)
03.Basis and Dimension and Counting of LI, LD, basis, Subspaces(SWT-03)
04.Quotient Space , Sum of Subspace, Direct Sum(SWT-04)
05.Basic Linear Transformation Rank and Nullity(SWT-05)
06.Matrix Representation and its Properties(SWT-06)
07.Important Linear Transformation and Their Properties(SWT-07)
08.System of Linear Equations(SWT-08)
09.Basics of Eigen values and Eigenvectors and Their Properties (SWT-09)
10.Characteristic and Minimal Polynomial and Their Properties (SWT-10)
11.Eigenvalues and Eigenvectors on Important Properties(SWT-11)
12.Canonical forms, Triangular forms, Jordan forms(SWT-12)
13.Diagonal forms(SWT-13)
14.Jordan forms and Diagonal forms(SWT-14)
15.Bilinear Form and Linear Functional(SWT-15)
16.Quadratic forms(SWT-16)
17.Inner product spaces, orthonormal basis(SWT-17)


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Modern Algebra: (Test Package NET/JRF)

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Previous Year Questions (Group Theory)
01.Groups and Subgroups and Order of Elements(PYQ)
03.Important Groups and their properties(PYQ-01)
04.Important Groups and their properties(PYQ-02)
05 Class Equation and Normal Subgroups(PYQ)
06.Group Homomorphism and Quotient Group(NET JRF a
07. Group Homomorphism and Quotient Group(IIT-JAM
08.(Sylow's Theorems& Group Action)(PYQ)
Test Paper (Group Theory)
01.Group Theory Practice Test-01
02.Group Theory Practice Test-02
03.Group Theory Practice Test-03(Class Equation)
04.Group Theory Practice Test-04 (Normal Subgroups
05.Group Theory Practice Test-05 (Homomorphism)
06.Group Theory Practice Test-06 (Group Action)
Previous Year Questions(Ring Theory)
01. Introduction to Ring theory(PYQ)
02.Ideals, Prime and Maximal ideals,Quotient rings, Ring Homomorphism(PYQ)
03.Irreducibility, prime element, PID, ED, UFD (PYQ)
04.Polynomial rings and irreducibility criteria(PYQ)
05.Number Theory(PYQ)
Test Paper (Ring Theory)
01. Introduction to Ring theory(SWT-01)
02.Ideal and Its Properties & Quotient Ring(SWT-02
03.Ring Homomorphism and their properties (SWT-03)
04.Maximal Ideals, Prime Ideals and their Properti
05.Assocates , Irreducible element , Prime Element
06. Euclidean domain,Unique factorization domain,
07.Polynomial rings and irreducibility criteria(SW
08.Number Theory(SWT-08)


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Group Theory:(Test Package NET/JRF)

This Test Package Consisting of Chapter Wise and Subject Wise Test papers of Group Theory and Previous Year Question Papers of Group Theory with Videos Solutions, Below Is the Detail for Chapter Test Papers and Previous Year Questions
Previous Year Questions (Group Theory)
01.Groups and Subgroups and Order of Elements(PYQ)
03.Important Groups and their properties(PYQ-01)
04.Important Groups and their properties(PYQ-02)
05 Class Equation and Normal Subgroups(PYQ)
06.Group Homomorphism and Quotient Group(NET JRF a
07. Group Homomorphism and Quotient Group(IIT-JAM
08.(Sylow's Theorems& Group Action)(PYQ)
Test Paper (Group Theory)
01.Group Theory Practice Test-01
02.Group Theory Practice Test-02
03.Group Theory Practice Test-03(Class Equation)
04.Group Theory Practice Test-04 (Normal Subgroups
05.Group Theory Practice Test-05 (Homomorphism)
06.Group Theory Practice Test-06 (Group Action)


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Ring Theory:(Test Package NET/JRF)

This Test Package Consisting of Chapter Wise and Subject Wise Test papers of Ring Theory and Previous Year Question Papers of Ring Theory with Videos Solutions, Below Is the Detail for Chapter Test Papers and Previous Year Questions
Previous Year Questions
01. Introduction to Ring theory(PYQ)
02.Ideals, Prime and Maximal ideals,Quotient rings, Ring Homomorphism(PYQ)
03.Irreducibility, prime element, PID, ED, UFD (PYQ)
04.Polynomial rings and irreducibility criteria(PYQ)
05.Number Theory(PYQ)
Test Paper
01. Introduction to Ring theory(SWT-01)
02.Ideal and Its Properties & Quotient Ring(SWT-02
03.Ring Homomorphism and their properties (SWT-03)
04.Maximal Ideals, Prime Ideals and their Properti
05.Assocates , Irreducible element , Prime Element
06. Euclidean domain,Unique factorization domain,
07.Polynomial rings and irreducibility criteria(SW
08.Number Theory(SWT-08)


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Previous Year Questions
01. First Order First Degree Differential Equations (PYQ)
02.Higher order Linear differential Equation(PYQ-01)
03.Higher order Linear differential Equation(PYQ-02)
04.Solution of Higher order Linear Differential Equation(PYQ-01)
05.Solution of Higher order Linear Differential Equation(PYQ-02)
06.System of Differential Equation(PYQ)
07.Boundary value problem(PYQ)
08.(Existence and Uniqueness of solution )
Test Paper
01.ODE Practice Test-01 (First Order First degree)
02.ODE Practice Test-02 (Higher Order Linear Diffe
03.ODE Practice Test-03 (Solution of Higher order
04.ODE Practice Test-04 (System of Linear differen
05.ODE Practice Test-05 (Boundary Value Problem)
06.ODE Practice Test-06 (Existence and Uniqueness


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Partial Differential Equations (PDEs): (Test Package NET/JRF)

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Linear Integral Equations and Calculus of Variations: (Test Package NET/JRF)

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Real Analysis & Linear Algebra (Test Package NET/JRF)

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Real Analysis & Complex Analysis (Test Package NET/JRF)

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Real Analysis Previous Year Question Videos Solutions

Real Analysis Previous Year Question Videos Solutions

01.Countable and Uncountable(PYQ)
02.Point Set Topology(PYQ)
03.Seqance of Real Numbers(PYQ NET JRF )
04.Series of Real Numbers (PYQ NET/JRF GATE)
05.Limit & Continuity of function of one variable(PYQ TIFR IIT-JAM)
06.Limit & Continuity of function of one variable( PYQ NET/JRF ,GATE)
07.Lipschitz Continuity,uniform continuity(PYQ)
08.Differentiable of function of one variable(NET
09.Riemann Integral and Bounded Variation(PYQ)
10.Sequences of functions (PYQ )
11.Series of functions((NET/JRF NBHM, GATE) (PYQ )
12.Function of Several Variables(PYQ NET/JRF )


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Linear Algebra Previous Year Question Videos Solutions

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01.Vector Spaces, Subspaces (PYQ)
02.Dimension and Counting GATE,TIFR,CMI,NBHM (PYQ)
03.Linear Transformation(PYQ-01)
04.Linear Transformation(PYQ-02)
05.Linear Transformation(PYQ-03)
06.System of Linear Equations(PYQ)
07.Eigen Value or Eigen Spaces(PYQ-01)
08.Eigen Value or Eigen Spaces(PYQ-02)
09.Eigen Value or Eigen Spaces(PYQ-03)
10.Eigen Value or Eigen Spaces(PYQ-04)
11.Diagonalizable Linear Operator (PYQ NET/JRF)
12.Diagonalizable Linear Operator (PYQ GATE.TIFR)
13.Diagonalizable Linear Operator (PYQ CMI,NBHM)
14.Bilinear Form and Linear Functionals
15.Quadratic Form and Its Properties (PYQ)
16.Inner product spaces(Previous Year Questions)


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Real Analysis and Linear Algebra Previous Year Question Videos Solutions

Real Analysis Previous Year Question Videos Solutions

01.Countable and Uncountable(PYQ)
02.Point Set Topology(PYQ)
03.Seqance of Real Numbers(PYQ NET JRF )
04.Series of Real Numbers (PYQ NET/JRF GATE)
05.Limit & Continuity of function of one variable(PYQ TIFR IIT-JAM)
06.Limit & Continuity of function of one variable( PYQ NET/JRF ,GATE)
07.Lipschitz Continuity,uniform continuity(PYQ)
08.Differentiable of function of one variable(NET
09.Riemann Integral and Bounded Variation(PYQ)
10.Sequences of functions (PYQ )
11.Series of functions((NET/JRF NBHM, GATE) (PYQ )
12.Function of Several Variables(PYQ NET/JRF )
Linear Algebra Previous Year Question Videos Solutions

01.Vector Spaces, Subspaces (PYQ)
02.Dimension and Counting GATE,TIFR,CMI,NBHM (PYQ)
03.Linear Transformation(PYQ-01)
04.Linear Transformation(PYQ-02)
05.Linear Transformation(PYQ-03)
06.System of Linear Equations(PYQ)
07.Eigen Value or Eigen Spaces(PYQ-01)
08.Eigen Value or Eigen Spaces(PYQ-02)
09.Eigen Value or Eigen Spaces(PYQ-03)
10.Eigen Value or Eigen Spaces(PYQ-04)
11.Diagonalizable Linear Operator (PYQ NET/JRF)
12.Diagonalizable Linear Operator (PYQ GATE.TIFR)
13.Diagonalizable Linear Operator (PYQ CMI,NBHM)
14.Bilinear Form and Linear Functionals
15.Quadratic Form and Its Properties (PYQ)
16.Inner product spaces(Previous Year Questions)


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Linear Algebra , ODE, PDE

Test Series and Previous Year Questions Linear Algebra , ODE, PDE


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Linear Algebra and PDE

Test Paper and Previous Year Questions Linear Algebra and PDE


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Real Analysis, Linear Algebra and Ring theory

Test Paper and Previous Year Questions Real Analysis, Linear Algebra and Ring theory


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Modern Algebra and Linear Algebra

Test paper and previous Year Questions Modern Algebra and Linear Algebra


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Complex andlysis , Real analysis and Linear Algebra Previous year

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Real and Linear previous Year , Modern algebra

Real and Linear previous Year , Modern algebra Test Series and Prevyious Year Questions


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NET JRF DEC-2021

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