CSIR NET 2025 Mathematical Science Important Topics, Weightage Percentage
Amit kumar Singh25 Jul, 2025
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CSIR NET 2025 Mathematical Science Important Topics can surely help a candidate to score high in the national-level examination. CSIR NET 2025 will be held on 28 July 2025. Learning important topics is crucial in the last few days before the examination. It will help candidates understand the value of different topics included in the mathematical science syllabus. Further, candidates can explore here for useful information about CSIR NET 2025 Mathematical Science Important Topics.
CSIR NET 2025 Mathematical Science Overview
Candidates must be aware of CSIR NET 2025 Mathematical Science Important Topics. They can find these details in CSIR NET Mathematical Science Previous Year Question Papers also. Further, candidates can follow the official syllabus for the Mathematical Science paper in CSIR NET 2025 to learn useful insights about important topics. In addition, candidates can adhere to the following informative table to learn about CSIR NET Mathematical Science 2025:
| CSIR NET 2025 Mathematical Science Overview | |
|---|---|
| Feature | Details |
| Exam Name | CSIR-UGC NET 2025 Mathematical Science |
| Conducting Body | National Testing Agency (NTA) on behalf of CSIR |
| Exam Date | 28 July 2025 |
| Subject Code | Mathematical Science |
| Exam Level | National-level |
| Types of questions | Multiple Choice Questions |
| Exam Mode | Online CBT |
Note: The data, as mentioned earlier, is derived from previous years’ trends in the CSIR NET Mathematical Science 2025 exam. Candidates can expect a similar trend to be observed in the upcoming examination on 28 July 2025. Also, CSIR NET 2025 applicants are recommended to visit the official portal of NTA to learn details related to the mathematical science exam syllabus, pattern, and other preparatory essentials.
CSIR NET 2025 Mathematical Science Important Topics
For effective preparation, candidates must take reference from the CSIR NET 2025 Mathematical Science Important Topics mentioned in the official syllabus. Applicants can learn about the important topics related to the CSIR NET Mathematical Science exam 2025:
| CSIR NET 2025 Mathematical Science Important Topics List | ||
|---|---|---|
| Unit | Topic | Subtopics/Focus Areas |
| 1 | Linear Algebra | Vector spaces, Linear transformations, Rank-Nullity theorem, Eigenvalues & Eigenvectors, Cayley-Hamilton theorem, Inner product spaces |
| 2 | Real Analysis | Sequences & series, Limits, Continuity, Differentiability, Riemann integration, Sequences of functions, Uniform convergence |
| 3 | Complex Analysis | Analytic functions, Cauchy-Riemann equations, Cauchy's integral theorem, Residue theorem, Laurent series |
| 4 | Abstract Algebra | Groups, Subgroups, Rings, Fields, Homomorphisms, Isomorphism theorems, Sylow theorems, Ideals |
| 5 | Topology | Open and closed sets, Basis and sub-basis, Continuity, Compactness, Connectedness, Metric spaces |
| 6 | Ordinary Differential Equations (ODEs) | First- and second-order equations, Linear systems, Series solutions, Laplace transforms, Stability theory |
| 7 | Partial Differential Equations (PDEs) | Classification of PDEs, Method of characteristics, Fourier series, Heat, Wave, and Laplace equations |
| 8 | Numerical Analysis | Interpolation, Numerical integration, Root-finding methods, Finite differences, Numerical solutions of ODEs |
| 9 | Calculus of Variations | Euler-Lagrange equations, Functionals, Applications to mechanics |
| 10 | Linear Programming | Graphical and Simplex methods, Duality, Transportation problems |
| 11 | Probability and Statistics | Random variables, Distributions (Binomial, Poisson, Normal), Expectation, moment-generating functions, Hypothesis testing |
| 12 | Functional Analysis | Normed linear spaces, Banach & Hilbert spaces, Hahn-Banach theorem, Open mapping theorem, Bounded operators |
| 13 | Mathematical Logic & Set Theory | Propositional logic, Predicate logic, cardinality, Zorn’s Lemma, Axiom of choice |
Note: The above-mentioned unit-wise CSIR NET Mathematical Science Important Topics are inferred from the previous years’ trends of the exam. Candidates can pay special attention to these topics to score more and clear the cutoff mark range.
CSIR NET Mathematical Science Topic Wise Weightage
Candidates who are engaged in preparing for the examination must learn about CSIR NET Mathematical Science Topic Wise Weightage for effective preparation. Further, candidates are recommended to focus on the most important topics, i.e., topics with high weightage to score more in the examination. Here is a table with unit-wise details of topics that have been included in most of the CSIR NET Mathematical Science Previous Years Question Papers:
| CSIR NET Mathematical Science Topic Wise Weightage | ||
|---|---|---|
| Unit / Topic | No. of Qs (approx) | Marks Range |
| Unit 1 | ||
| • Real Analysis | 15–20 Q | 45.25–70.25 marks |
| • Linear Algebra | 15–20 Q | 41.25–75.00 marks |
| Unit 2 | ||
| • Abstract Algebra | 6–8 Q | 25.00–45.25 marks |
| • Complex Analysis | 5–8 Q | 25.00–34.50 marks |
| • Number Theory | 1–2 Q | 3.00–7.75 marks |
| • Topology | 1–2 Q | 3.00–7.75 marks |
| Unit 3 | ||
| • Ordinary Differential Equations (ODE) | 4–7 Q | 15.50–25.00 marks |
| • Partial Differential Equations (PDE) | 4–7 Q | 20.20–25.00 marks |
| • Integral Equations | 1–3 Q | 3.00–12.50 marks |
| • Calculus of Variations (COV) | 1–2 Q | 3.00–7.75 marks |
| • Dynamical Systems | 0–2 Q | 0.00–7.75 marks |
| • Classical Mechanics | 0–2 Q | 0.00–7.75 marks |
| Unit 4 | ||
| • Markov Chains | 1–3 Q | 3.00–12.50 marks |
| • Operations Research (LPP) | 0–2 Q | 0.00–7.75 marks |
Note: It must be kept in mind that the above details are taken from previous years’ trends in CSIR NET 2025 exam. Most likely, the examination scheme remains the same every year. So, candidates can expect the same kind of frequency of topics to be present in the upcoming exam on 28 July 2025.
CSIR NET Mathematical Science Last Minute Preparation Tips
The CSIR NET Mathematical Science exam 2025 is going to be held on 28 July 2025 for the June session. Candidates who have applied for this test would have been running out of time for preparation. Further, candidates can follow these quick tips to prepare well for the CSIR NET 2025 examination:
Focus on the topics weighing more: Candidates can check the CSIR NET Mathematical Science Important Topic-wise weightage to prepare a strategy of quality learning. Further, candidates can follow the examination scheme to learn about which section can help them score more.
Focus on the topics earlier studied: Rather than focusing on new topics, candidates should practice previously learnt mathematical science topics. Otherwise, they can get confused. To boost strength over the previously learnt topics, they should not pay attention to any new topic.
Revise daily and solve mock papers: Candidates should revise daily whatever they study in the day to strengthen their grasp on the subject. Also, they should create a consistent routine for studying and revision purposes. Additionally, they can start solving online mock test papers or previous years’ papers to enhance their speed and accuracy.
CSIR NET 2025 Mathematical Science Important Topics FAQs
What are the important topics included in the CSIR NET 2025 Mathematical Science examination?
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Is there negative marking in the CSIR NET Mathematical Science exam 2025?
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