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. |
Table of Contents
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
| Section | No. of Questions | Marks per Question | Total Marks | Negative Marking |
|---|---|---|---|---|
| Section A | 10 | 1 | 10 | ⅓ |
| 20 | 2 | 40 | ⅔ | |
| Section B | 10 | 2 | 20 | Not Applicable |
| Section C | 10 | 1 | 10 | Not Applicable |
| 10 | 2 | 20 | ||
| 60 | 100 |
Weightage of IIT JAM Mathematics Topics
Based on the paper analysis of previous years the important topics, with their weightage are tabulated below:
| Topic | Weightage |
|---|---|
| Real Analysis | 21% |
| Calculus of Single Variable | 18% |
| Linear Algebra | 14% |
| Calculus of Two Variables | 14% |
| Vector Calculus | 12% |
| Differential Equation | 11% |
| Abstract Algebra | 10% |
Download IIT JAM 2022 Mathematics Syllabus
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