**NB: **We are soon going to provide detailed Handwritten Notes & Solutions for self preparation (No coaching Required).

JAM 2022 Activity | Date (Day) |

Online Application Starts | August 30, 2021 |

Last Date for Online Registration/Application | October 11, 2021 |

Admit Card Download | January 04, 2022 |

Date of Examination | February 13, 2022 (Sunday) |

Announcement of the Results | March 22, 2022 (Tuesday) |

**Syllabus For JAM-2022 Mathematics(MA) has been slightly Changed. Check Here New syllabus.**

**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

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

Click on the Subject name to download the Notes/Solution.

Download JAM Notes | Download JAM Solution |

Real Analysis (Available Soon) | Real Analysis Solution (Available Soon) |

Multivariable Calculus | Calculus Solution |

Differential Equations | Differential Eqn.s Solution (Available Soon) |

Linear Algebra | Linear + Abstract Solution |

Abstract Algebra (Group theory) |

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