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The IIT JAM (Indian Institutes of Technology Joint Admission Test for M.Sc.) Mathematics (MA) exam is a gateway for students aspiring to pursue postgraduate studies in Mathematics (MA) -related fields from renowned institutes. To succeed in this competitive exam, it’s crucial to have a clear understanding of the syllabus and to strategically plan your preparation. In this article, we’ll provide you with a detailed breakdown of the IIT JAM Mathematics (MA) 2024 syllabus, helping you prepare effectively for the exam.
IIT JAM Mathematics (MA) Syllabus
The 2024 IIT JAM Mathematics Syllabus encompasses a wide array of topics, including integral calculus, linear algebra, and real variables. This syllabus has been meticulously crafted by the conducting body, taking into consideration subjects at the graduation level. If you aspire to pursue an M. Sc in Mathematics at an IIT institution, you can easily access the IIT JAM Syllabus PDF for Mathematics, which is readily available for download.
Before delving into the syllabus in detail, it is essential for candidates to grasp the paper’s structure and the associated marking scheme. This understanding will prove invaluable when assessing the syllabus and planning your preparation strategy. The examination is divided into three sections, namely “A,” “B,” and “C,” each containing 60 Multiple Choice Questions (MCQs), with a total of 100 marks at stake.
Download IIT JAM Mathematics (MA) Syllabus PDF
IIT JAM Syllabus 2024 for Mathematics
The candidate will have to cover all the topics from each section of the syllabus to compete and get a high score in the entrance examination easily. The detailed Mathematics syllabus of IIT JAM is mentioned below in a table.
| Topic | Subtopic |
|---|---|
| Sequences and Series of Real Numbers | All the areas covered in this topic are Sequence of real numbers, the convergence of sequences, bounded and monotone sequences, convergence criteria for sequences of real numbers. Apart from that, there are Cauchy sequences and sub-sequences, Bolzano-Weierstrass theorem. Also, there are Series of real numbers, absolute convergence, tests of convergence for series of positive terms that includes comparison test, ratio test, root test and also Leibniz test for convergence of alternating series, etc. |
| Differential Equations | Under this section all the areas are Ordinary differential equations of the first order of the form y’=f (x,y), Bernoulli’s equation, exact differential equations, integrating factor, orthogonal trajectories, homogeneous differential equations. There are also includes variable separable equations along with linear differential equations that are only for second order with constant coefficients. And also, the Method of variation of parameters, Cauchy-Euler equation is there. |
| Integral Calculus | This section includes details on Integration that defines as the inverse process of differentiation along with definite integrals, and all the properties with the fundamental theorem of calculus. Besides that, there are Double and triple integrals, details on change of order of integration, the process to calculate surface areas and volumes with the help of double integrals and also includes calculating volumes with the help of triple integrals. |
| Linear Algebra | All the areas that falls in this section are Finite dimensional vector spaces along with linear independence of vectors, its basis and dimension, linear transformations, details on matrix representation and also range space with null space, concepts on rank-nullity theorem. It also covers Rank and inverse of a matrix, determinant and all the solutions of linear equation’s systems. On the contrary there are consistency conditions along with eigenvalues, and also eigenvectors for matrices, Cayley-Hamilton theorem, etc in this section. |
IIT JAM 2024 Mathematics Exam Pattern
IIT JAM 2024 exam pattern for Mathematics is given below.
| Particulars | Details |
|---|---|
| Duration of the Exam | 3 hrs |
| Number of Questions | 60 Questions |
| Total Sections | 3 (Section A, B and C) |
| Types of Questions | Multiple Choice Questions (MCQs)Multiple Select Questions (MSQs) Numerical Answerable Type Questions (NAT) |
| Negative Marking | Only for Section A |
| Total Marks | 100 |
Section Wise Break up of Marks and Questions
| 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% |
Recommended Study Resources
IIT JAM Mathematics Books for 2024 Preparation
Here we bring a list of books for IIT JAM Mathematics paper. These books will guide the candidates to prepare better for this section.
| Topic | Author |
|---|---|
| Ordinary Differential Equation | Peter J. Collins, G.F. Simmons, M.D. Raisinghania. |
| Real Analysis | H. L. Royden. |
| Principles of Real Analysis | S. C. Malik. |
| Linear Algebra | Seymour Lipschitz (Schaum’s), H. Anton, A.R.Vasishtha. |
| Modern Algebra | A. R. Vasishtha 8. University Algebra: N. S. Gopalakrishan. |
| Integral Calculus | F. Ayres (Schaum’s), Gorakh Prasad |
| Vector Calculus | Murray R. Spiegel (Schaum’s), A.R.Vasishtha |
Preparation Tips
- Understand the Syllabus: Make sure you’re familiar with all the topics listed in the syllabus.
- Create a Study Plan: Develop a structured study plan to cover all subjects adequately.
- Practice Regularly: Solve previous years’ question papers and sample papers to enhance problem-solving skills.
- Take Mock Tests: Simulate exam conditions by taking mock tests to improve time management.
- Seek Guidance: If needed, consider joining a coaching institute or seeking guidance from experienced mentors.
Conclusion
The IIT JAM Mathematics (MA) syllabus is extensive, covering various branches of mathematics. To succeed in this highly competitive exam, it’s essential to have a well-structured study plan and access to quality study materials. By diligently preparing for the core and elective topics, you can enhance your chances of securing admission to prestigious institutions.
FAQs
The core topics remain fairly consistent, but slight variations may occur. It’s advisable to check the official syllabus for the most up-to-date information.
While there isn’t a specific book recommended, you can refer to textbooks on Numerical Analysis and practice problems to prepare effectively.
Allocate specific time slots to each section of the exam and practice solving questions under time constraints to improve your time management skills.
A postgraduate degree in Mathematics from a prestigious institution opens up various career opportunities, including teaching, research, data analysis, and more.
Some books to practice Vector Calculus from IIT JAM Syllabus for Mathematics are as follows.
Geometry & Vectors written by Vasishtha
Calculus written by Thomas & Finny
From the section Group Theory, you can practice Abelian as well as non-abelian groups, details on permutation groups and also Lagrange’s Theorem only for finite groups, must have a primary idea on quotient groups, etc.
It is good to practice all the sections from the syllabus for high marks, and so, you need to concentrate on all the topics in Mathematics as this is the scoring subject.
As this is the scoring subject, so, you need to give a large amount of time to solve and practice all the topics from this syllabus.