IIT JAM Mathematics Syllabus, Tips and Exam Pattern PDF 2022

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Here in this post, we share IT JAM Mathematics Syllabus, Tips and Exam Pattern PDF Download 2022.

Unit – 1: 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.
Unit – 2: 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.
Unit – 3: Functions of Two or Three Real Variables
Limit, continuity, partial derivatives, total derivative, maxima and minima. 
Unit – 4: Integral Calculus
Double and triple integrals, change of order of integration, calculating surface areas and volumes using double integrals, calculating volumes using triple integrals.
Unit – 5: 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.
Unit – 6: Matrices
Systems of linear equations, rank, nullity, rank-nullity theorem, inverse, determinant, eigenvalues, eigenvectors.
Unit – 7: Groups
Cyclic groups, abelian groups, non-abelian groups, permutation groups, normal subgroups, quotient groups, Lagrange’s theorem for finite groups, group homomorphisms.
Unit – 8: Finite-Dimensional Vector Spaces
Linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, rank-nullity theorem.

IIT JAM Mathematics Exam Pattern 2022

According to the exam pattern of JAM 2022, the question paper will consist of 60 questions. The maximum mark of the examination is 100.

  • Exam Duration: 3 hours
  • Total number of questions: 60
  • No of Section: Three (Sec A, B and C)
  • Question Type: MCQ, MSQ and NAT
  • Total Marks: 100

Section Wise Marks Distribution

SectionNo. of QuestionsMarks per QuestionTotal MarksNegative Marking
Section A10110⅓ 
20240⅔ 
Section B10220Not Applicable
Section C10110Not Applicable
10220
60100  

Weightage of IIT JAM Mathematics Topics

Based on the paper analysis of previous years the important topics, with their weightage are tabulated below:

TopicWeightage
Real Analysis21%
Calculus of Single Variable18%
Linear Algebra14%
Calculus of Two Variables14%
Vector Calculus12%
Differential Equation11%
Abstract Algebra10%

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