# CSIR Net Mathematics Syllabus PDF Online

See below for the CSIR Net Mathematics Syllabus PDF Online, Topic Wise, Mathematics Syllabus for Part A, Part B, Part C, Exam Instructions, FAQ, and More Here.

The Council of Scientific & Industrial Research National Eligibility Test (CSIR NET) is a prestigious examination in India, aimed at determining the eligibility of candidates for Junior Research Fellowships (JRF) and for lectureship/assistant professorship in Indian universities and colleges.

The CSIR NET in Mathematics is a challenging and comprehensive test that evaluates a candidate’s mathematical knowledge and problem-solving skills. This article provides an in-depth look at the CSIR Net Mathematics Syllabus PDF Online, the structure of the exam, topic-wise breakdown, and essential instructions and FAQs for aspirants.

### CSIR Net Mathematics Syllabus PDF Online

The CSIR NET Mathematics syllabus is meticulously designed to cover various branches of mathematics, ensuring a holistic evaluation of the candidates’ proficiency. The syllabus is available in PDF format online on the official CSIR website, providing easy access for aspirants to download and begin their preparation.

### Structure of the Exam

The CSIR NET Mathematics exam is divided into three parts: Part A, Part B, and Part C, each focusing on different aspects and levels of mathematical understanding:

• Part A: This section is common to all subjects and primarily tests the candidates’ general aptitude, including logical reasoning, graphical analysis, analytical and numerical ability, quantitative comparison, series formation, puzzles, etc.
• Part B: This section contains subject-related conventional Multiple-Choice Questions (MCQs), covering various topics in mathematics. The questions are designed to test a candidate’s knowledge and understanding of mathematical concepts and their application.
• Part C: This part comprises higher-value questions that may test the candidate’s knowledge of scientific concepts and/or application of the scientific concepts. The questions are analytical in nature, where a candidate is expected to apply the scientific knowledge to arrive at the solution to the given scientific problem.

### Mathematics Syllabus for Part A, Part B, and Part C

Part A: Being generic, the syllabus for Part A doesn’t specifically pertain to mathematics but includes:

• Logical reasoning and analytical ability
• Graphical analysis and data interpretation
• Quantitative comparison and series formation

Part B and Part C: The syllabus for these sections is vast and covers various domains of mathematics, including but not limited to:

• Real Analysis: Sequences and series of functions, uniform convergence, Riemann sums and Riemann integral, Lebesgue measure, measurable functions.
• Complex Analysis: Analytic functions, Cauchy-Riemann equations, Cauchy’s theorem, Cauchy’s integral formula, Taylor series, Laurent series, residue theorem.
• Linear Algebra: Vector spaces, matrices, determinants, systems of linear equations, eigenvalues and eigenvectors, inner products and orthogonality.
• Algebra: Groups, rings, fields, ideals, homomorphisms, normal subgroups, quotient groups, field extensions, Galois theory.
• Topology: Basis, dense sets, subspace topology, continuity, compactness, connectedness, metric spaces.
• Ordinary Differential Equations (ODEs) and Partial Differential Equations (PDEs): First-order ODEs, second and higher-order linear ODEs, systems of ODEs, method of characteristics, heat and wave equations.
• Numerical Analysis: Numerical solutions of equations, numerical integration, numerical solutions of ODEs.
• Calculus of Variations: Euler-Lagrange equation, simple applications.
• Linear Integral Equations: Types of integral equations, Fredholm and Volterra integral equations, solutions of integral equations.
• Classical Mechanics: Generalized coordinates, principle of least action, Lagrange’s equations, Hamilton’s equations.

### Exam Instructions

Candidates appearing for the CSIR NET Mathematics exam should adhere to the following instructions:

• Admit Card: Ensure to download and print the admit card from the official CSIR NET website and carry it to the examination center.
• Identity Proof: Carry a valid photo ID proof along with the admit card for verification.
• Reporting Time: Arrive at the examination center well in advance of the reporting time to avoid any last-minute rush.
• Prohibited Items: Avoid carrying any barred items such as calculators (unless specified), mobile phones, or any other electronic gadgets to the examination hall.
• Follow Instructions: Pay close attention to the instructions given by the invigilators and on the question paper.

A: The syllabus can be downloaded from the official CSIR NET website. Navigate to the ‘Syllabus’ section and select ‘Mathematical Sciences’ to access and download the PDF.

Q2: What is the duration of the CSIR NET Mathematics exam?
A: The duration of the exam is typically 3 hours, but candidates should check the official notification for any changes or updates.

Q3: What should I do if there is a discrepancy in my admit card?
A: In case of any discrepancy, candidates should immediately contact the CSIR examination authority through the contact details provided in the official notification.

Q4: How should I prepare for the CSIR exam?
A: Comprehensive preparation involves studying the prescribed syllabus, practicing with previous year papers and mock tests, and staying updated with current affairs. Time management and a well-structured study plan are crucial.

This is the brief information about the CSIR Net Mathematics Syllabus PDF Online in detail.