Table of Contents
The CSIR NET Mathematics Syllabus for 2024 has been released by the Human Resource Development Group (HRDG) on its official website. The CSIR NET Mathematics exam comprises three sections: A, B, and C. Part A, known as General Aptitude, is uniform for all candidates. However, Part B and Part C are entirely subjectspecific and are determined by the candidate’s choice of subject in the CSIR NET Exam.
CSIR NET Mathematics Syllabus
CSIR NET Syllabus 2024 for Math subject is an important tool that students must be aware of it. Here, we have provided the complete CSIR NET Mathematics Syllabus for all the subjects as prescribed by the CSIR. Candidates should go through the syllabus well in advance to prepare for the exam.
CSIR NET Mathematics Syllabus Topic Wise
Here we are mentioning each & every topic of the CSIR NET Mathematics Syllabus in the tabulated form for easy access. As mentioned above, a good understanding of the CSIR NET Mathematics Syllabus is essential in cracking any exam. The direct link to download CSIR NET Mathematics Syllabus is given below.
CSIR NET Mathematics Syllabus for Part A
Part A is all about general Paper which is common for all post. Some of the important topics of CSIR NET Mathematical Science are partial differential equations, numerical analysis, calculus of variations, linear integral equations, classical mechanics, descriptive statistics, exploratory data analysis, etc.
CSIR NET Mathematical Science Syllabus: Part A (General Aptitude)  
Graphical Analysis & Data Interpretation  PieChart 
Line & Bar Chart  
Graph  
Mode, Median, Mean  
Measures of Dispersion  
Table  
Reasoning  Puzzle 
Series Formation  
Clock and Calendar  
Direction and Distance  
Coding and Decoding  
Ranking and Arrangement  
Numerical Ability  Geometry 
Proportion and Variation  
Time and Work  
HCF and LCM  
Permutation and Combination  
Compound and Simple Interest 
CSIR NET Mathematics Syllabus for Part B & Part C
Here we are sharing the important topic which is asked in the CSIR NET Mathematical Science exam. Candidates may revise all the important topics before appearing for the main exam. Parts B & C majorly consist of the subject concerned part which is based on the domain of the students.
CSIR NET Mathematical Science Syllabus: Part B & Part C 

Unit 1  
Analysis  Elementary set theory, finite, countable, and uncountable sets, Real number system, Archimedean property, supremum, infimum. 
Sequence and series, convergence, limsup, liminf.  
Bolzano Weierstrass theorem, Heine Borel theorem  
Continuity, uniform continuity, differentiability, mean value theorem.  
Sequences and series of functions, uniform convergence.  
Riemann sums and Riemann integral, Improper Integrals.  
Linear Algebra  Vector spaces, subspaces, linear dependence, basis, dimension, algebra of linear transformation 
Algebra of matrices, rank, and determinant of matrices, linear equations.  
Eigenvalues and eigenvectors, CayleyHamilton theorem.  
Matrix representation of linear transformations. Change of basis, canonical forms, diagonal forms, triangular forms, Jordan forms.  
Inner product spaces, orthonormal basis.  
Quadratic forms, reduction, and classification of quadratic forms  
Unit 2  
Complex Analysis  Algebra of complex numbers, the complex plane, polynomials, power series, transcendental functions such as exponential, trigonometric, and hyperbolic functions 
Analytic functions, CauchyRiemann equations.  
Contour integral, Cauchy’s theorem, Cauchy’s integral formula, Liouville’s theorem, Maximum modulus principle, Schwarz lemma, Open mapping theorem. 

Taylor series, Laurent series, calculus of residues.  
Conformal mappings, Mobius transformations.  
Algebra  Permutations, combinations, pigeonhole principle, inclusionexclusion principle, derangements. 
Fundamental theorem of arithmetic, divisibility in Z, congruences, Chinese Remainder Theorem, Euler’s Ø function, primitive roots.  
Groups, subgroups, normal subgroups, quotient groups, homomorphisms, cyclic groups, permutation groups, Cayley’s theorem, class equations, and Sylow theorems.  
Rings, ideals, prime and maximal ideals, quotient rings, unique factorization domain, principal ideal domain, Euclidean domain.  
Topology: basis, dense sets, subspace and product topology, separation axioms, connectedness, and compactness.  
Unit 3  
Ordinary Differential Equations (ODEs):  Existence and uniqueness of solutions of initial value problems for firstorder ordinary differential equations, singular solutions of firstorder ODEs, and the system of firstorder ODEs. 
A general theory of homogenous and nonhomogeneous linear ODEs, variation of parameters, SturmLiouville boundary value problem, Green’s function.  
Partial Differential Equations (PDEs)  Lagrange and Charpit methods for solving firstorder PDEs, Cauchy problem for firstorder PDEs. 
Classification of secondorder PDEs, General solution of higherorder PDEs with constant coefficients, Method of separation of variables for Laplace, Heat, and Wave equations. 

Numerical Analysis  Numerical solutions of algebraic equations, Method of iteration and NewtonRaphson method, Rate of convergence, Solution of systems of linear algebraic equations using Gauss elimination and GaussSeidel methods, Finite differences, Lagrange, Hermite, and spline interpolation, Numerical differentiation and integration, Numerical solutions of ODEs using Picard, Euler, modified Euler and RungeKutta methods. 
Calculus of Variations  Variation of a functional, EulerLagrange equation, Necessary and sufficient conditions for extrema. 
Variational methods for boundary value problems in ordinary and partial differential equations.  
Linear Integral Equations  Linear integral equation of the first and second kind of Fredholm and Volterra type, Solutions with separable kernels. Characteristic numbers and eigenfunctions, resolvent kernel. 
Classical Mechanics  Generalized coordinates, Lagrange’s equations, Hamilton’s canonical equations, Hamilton’s principle and the principle of least action, Twodimensional motion of rigid bodies, Euler’s dynamical equations for the motion of a rigid body about an axis, theory of small oscillations. 
Unit 4  
Descriptive Statistics, Exploratory Data Analysis  Markov chains with finite and countable state space, classification of states, limiting behavior of nstep transition probabilities, stationary distribution, Poisson, and birthanddeath processes. 
Standard discrete and continuous univariate distributions. sampling distributions, standard errors and asymptotic distributions, distribution of order statistics, and range.  
Methods of estimation, properties of estimators, confidence intervals. Tests of hypotheses: most powerful and uniformly most powerful tests, likelihood ratio tests. Analysis of discrete data and chisquare test of goodness of fit. Large sample tests.  
Simple nonparametric tests for one and two sample problems, rank correlation, and test for independence, Elementary Bayesian inference.  
Simple random sampling, stratified sampling, and systematic sampling. Probability is proportional to size sampling. Ratio and regression methods.  
Hazard function and failure rates, censoring and life testing, series and parallel systems. 
CSIR NET Mathematics Exam Pattern
There is a negative marking of 25% in Parts A and B of CSIR NET Mathematical Science Subject, and there is no negative marking for Part C. Important topics include Combinations, Fundamental Theorem of Arithmetic, Divisibility in Z, Congruences, etc
Mathematical Sciences  Part A  Part B  Part C  Total 
Total Questions  20  40  60  120 
Max No of Questions to attempt  15  25  20  60 
Marks for each correct answer  2  3  4.75  200 
Negative marking  0.5  0.75  0  – 
CSIR NET Mathematics Syllabus & TopicWise Weightage
Please refer to the table to know the total number of questions in each section & their marking scheme
Subject  Total marks  Negative Marking  Marking Scheme 
Mathematical Science  200  Part A: 0.5  Part A: +2 
Part B: 0.75  Part B: +3  
Part C: No Negative Marking  Part C: +4.75 
CSIR NET Mathematics Syllabus PDF
Check out the CSIR NET Mathematics Syllabus 2024 PDF given in the following. The CSIR NET Syllabus PDF given below contains all the essential topics elaborately. CSIR NET Mathematics Syllabus PDF is easily shared or saved for future reference.
CSIR NET Mathematics Syllabus PDF