CSIR NET Mathematical Sciences December 2025 Exam Syllabus and Preparation Tips
The CSIR NET December 2026 Exam is one of the most prestigious and challenging examinations for aspiring researchers, academicians, and professionals in India. Conducted by the Council of Scientific and Industrial Research (CSIR) in collaboration with the University Grants Commission (UGC), this national-level test evaluates candidates on their proficiency in advanced mathematical concepts. Specifically, the CSIR NET Mathematical Sciences paper serves as a gateway for candidates aiming for Junior Research Fellowship (JRF) and eligibility for Assistant Professorship in universities and colleges.
Understanding the CSIR NET Mathematical Sciences Paper
The CSIR NET Mathematical Sciences paper evaluates candidates' understanding of core mathematical concepts and their ability to apply these concepts to solve complex problems. The exam is divided into three sections:
- Part A: General Aptitude and Reasoning
- Part B: Subject-related Multiple Choice Questions (MCQs).
- Part C: Advanced application and analysis questions.
Detailed Syllabus Breakdown
The syllabus for the CSIR
NET Mathematical Sciences paper is extensive, encompassing various branches of
mathematics.
Part A: General Aptitude and Reasoning
- General Science: Basic principles of physics, chemistry, and biology.
- Quantitative Reasoning: Arithmetic, algebra, and data interpretation.
- Research Aptitude: Research methods, ethics, and communication.
Part B: Subject-Related MCQs
- Real Analysis: Sequences and series, continuity, differentiability, and integration.
- Linear Algebra: Vector spaces, linear transformations, eigenvalues, and eigenvectors.
- Abstract Algebra: Groups, rings, fields, and homomorphisms.
- Ordinary Differential Equations (ODEs): First and second-order equations, stability, and series solutions.
- Partial Differential Equations (PDEs): Solutions and applications.
- Complex Analysis: Analytic functions, Cauchy-Riemann equations, and contour integration.
- Topology: Open and closed sets, continuity, compactness, and connectedness.
Part C: Advanced Analytical and Applied Mathematics
- Numerical Analysis: Numerical methods for solving equations and optimization problems.
- Calculus of Variations: Euler-Lagrange equations and applications.
- Linear Integral Equations: Fredholm and Volterra equations.
- Classical Mechanics: Lagrangian and Hamiltonian formulations.
Exam Pattern and Marking Scheme
The CSIR NET Mathematical Sciences paper consists of 120 questions distributed across three parts:
- Part A: 20 questions (General Science, Quantitative Reasoning & Research Aptitude)
- Part B: 40 questions (Subject-related MCQs)
- Part C: 60 questions (Advanced Analytical and Applied Mathematics)