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Can I get an idea of how the marks are distributed across different topics in the IIT JAM Mathematics Exam based on the marking scheme?
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Distribution of Marks in IIT JAM Mathematics Exam

Introduction

The IIT JAM (Joint Admission Test for M.Sc.) is a national level entrance exam conducted by the Indian Institutes of Technology (IITs) for admission to the postgraduate M.Sc. programs at IITs and other institutes. The Mathematics paper of IIT JAM consists of a total of 60 questions, with a maximum score of 100 marks.

Marking Scheme

The marking scheme for the IIT JAM Mathematics exam is as follows:
- Section A: Multiple Choice Questions (MCQs)
- Each question has four options, out of which only one is correct.
- For each correct answer, 1 or 2 marks will be awarded, depending on the question.
- For each incorrect answer, 1/3 or 2/3 marks will be deducted, depending on the question.
- For each unanswered question, no marks will be deducted or awarded.

- Section B: Multiple Select Questions (MSQs)
- Each question has four options, out of which one or more options may be correct.
- For each correct answer, 2 marks will be awarded.
- There is no negative marking for incorrect or unanswered questions.

- Section C: Numerical Answer Type (NAT) Questions
- Each question has a numerical answer that needs to be entered using a virtual keyboard.
- There are no options for these questions.
- The answer can be an integer or a decimal, and it may need to be rounded off as per the question instructions.
- There is no negative marking for incorrect or unanswered questions.

Topic-wise Distribution of Marks

The IIT JAM Mathematics exam covers various topics from undergraduate mathematics. The distribution of marks across different topics can vary from year to year, but here is a general idea of how the marks are distributed:

1. Calculus
- Differential Calculus: 10-15 marks
- Integral Calculus: 8-12 marks
- Differential Equations: 5-10 marks

2. Linear Algebra
- Vector Spaces: 5-10 marks
- Linear Transformations: 3-7 marks
- Eigenvalues and Eigenvectors: 3-7 marks

3. Real Analysis
- Sequences and Series: 6-10 marks
- Limits and Continuity: 5-8 marks
- Differentiability and Integrability: 4-7 marks

4. Abstract Algebra
- Groups: 5-8 marks
- Rings: 3-6 marks
- Fields: 2-5 marks

5. Complex Analysis
- Analytic Functions: 4-7 marks
- Complex Integration: 3-6 marks
- Residue Theorem: 2-5 marks

6. Probability and Statistics
- Probability: 6-10 marks
- Random Variables: 3-7 marks
- Statistical Inference: 2-5 marks

7. Differential Equations
- First Order Differential Equations: 4-7 marks
- Second Order Linear Differential Equations: 3-6 marks
- Partial Differential Equations:
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Can I get an idea of how the marks are distributed across different topics in the IIT JAM Mathematics Exam based on the marking scheme?
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