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
| 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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- 3500+ Practice Questions For IIT JEE Expected MCQ PDF
- IIT JAM Previous Year Question Paper – All Subject
- IIT JAM Model Question Paper
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