Complete CSIR NET Mathematical Sciences Syllabus for June 2026 Aspirants

The CSIR NET Mathematical Sciences exam is a national-level examination for students who want to become Junior Research Fellows (JRF) or Assistant Professors in Indian colleges and universities. This exam is conducted by the National Testing Agency (NTA). It checks the student understands of mathematics and their ability to do research-level study.

The exam is usually conducted twice a year, in June and December.

Eligibility and Qualification Criteria

Candidates must have an M.Sc., Integrated BS-MS, or equivalent degree in a relevant subject.

• For JRF, there is an upper age limit, but relaxation is given as per government rules. 

• For Assistant Professor, there is no age limit, so candidates of any age can apply.

Exam Pattern and Structure

The CSIR NET Maths exam is a 3-hour objective-type test divided into three parts:

Part A (General Aptitude): Tests logical reasoning, numerical ability, graph interpretation, and general thinking skills.

Part B (Subject Knowledge): Questions are from core mathematics topics. These are standard multiple-choice questions testing basic concepts.

Part C (Advanced Mathematics): This is the most difficult section. Questions test deep understanding, problem-solving ability, and proof-based concepts. Some questions have more than one correct answer.

CSIR NET Mathematical Sciences Syllabus June 2026

The CSIR NET Mathematics examination is a rigorous evaluation designed to identify individuals with exceptional analytical depth and a mastery of theoretical frameworks. As we approach the June 2026 cycle, candidates must align their preparation with the officially mandated units. The curriculum is divided into four distinct units, with Unit I acting as the mandatory foundation for all aspirants.

Unit 1: Foundations of Analysis and Linear Algebra

This unit serves as the bedrock of the examination, emphasizing rigorous logical proofs and structural properties of mathematical systems.

• Analysis: Coverage includes elementary set theory, real number systems as complete ordered fields, the Archimedean property, and sequences/series convergence. Advanced topics involve the Bolzano-Weierstrass and Heine-Borel theorems, Riemann and Lebesgue integration, and metric space topology.

• Linear Algebra: Focuses on vector spaces, linear transformations, eigenvalue problems, and canonical forms (Jordan and Diagonal). It also extends to inner product spaces and the classification of quadratic forms.

Unit 2: Complex Analysis, Algebra, and Topology

The second unit shifts focus toward algebraic structures and the properties of complex-valued functions.

• Complex Analysis: Includes Cauchy-Riemann equations, contour integration, Liouville’s theorem, and the calculus of residues.

• Algebra: Exploration of group theory (Sylow theorems), ring theory (Unique Factorization Domains), and Field theory (Galois theory).

• Topology: Core concepts such as separation axioms, compactness, and connectedness.

Unit 3: Applied Mathematics and Differential Equations

This segment evaluates the candidate’s ability to solve real-world mathematical problems through modeling and approximation.

• Differential Equations: Mastery of both Ordinary (ODEs) and Partial Differential Equations (PDEs), including existence theorems and Green’s functions.

• Numerical Analysis & Calculus of Variations: Techniques for solving algebraic equations and optimizing functionals.

• Linear Integral Equations & Classical Mechanics: Covers Fredholm/Volterra types and Hamiltonian mechanics.

Unit 4: Statistics and Operations Research

Exclusively required for statistics-stream candidates, this unit encompasses:

• Probability & Statistics: Descriptive statistics, Markov chains, and central limit theorems.

• Design of Experiments: ANOVA, Factorial experiments, and BIBD.

• Operations Research: Linear programming (Simplex method) and queuing models.

How to Select Effective Coaching Modalities?

The preparation landscape for the CSIR NET Mathematical Sciences exam in 2026 offers diverse methodologies tailored to different learning preferences and professional constraints. Candidates can primarily navigate their preparation through three distinct CSIR NET Maths coaching avenues:

1. Digital Learning Platforms (Online Coaching)

This is currently the most prevalent modality, offering maximum flexibility for students and working professionals.

• Live Interactive Sessions: Online platforms provide real-time engagement with subject-matter experts via Zoom or proprietary apps.

• Recorded Modules: Ideal for asynchronous learning, allowing candidates to revisit complex topics at their own pace.

2. Traditional Classroom Instruction (Offline Coaching)

For candidates requiring high levels of discipline and face-to-face mentorship, established hubs provide an immersive academic environment.

• Major Hubs: Cities like New Delhi (Jia Sarai) and Chandigarh host specialized centers like InfoStudy and MIM Academy.

• Structured Environment: Fixed schedules mitigate procrastination, and the peer environment fosters healthy competition.

• Direct Access: Immediate clarification of advanced queries in Functional Analysis or Numerical Methods directly from the faculty.

3. Correspondence and Distance Learning

Designed for self-directed learners who require professional resources without the commitment of live classes.

• Study Kits: Comprehensive packages including theory booklets, topic-wise practice sets, and CSIR NET Maths previous year question (PYQ) banks.

The journey toward qualifying for the CSIR NET Mathematical Sciences exam is as much about strategic discipline as it is about academic rigor. As you prepare for the June 2026 session, it is vital to view the examination not merely as a hurdle but as a foundational milestone that authenticates your expertise for a career in high-level research and academia. Successfully navigating this rigorous assessment demands a sophisticated combination of deep theoretical and precise strategic execution across its multifaceted units.