CUET PG 2025 Mathematics Syllabus (OUT); Important Topics, Books & Download PDF

Are you planning to do an MSc in Mathematics? CUET PG Mathematics syllabus 2025 has been released by NTA on the official website. CUET PG 2025 exam will provide admissions to MSc Mathematics in various top institutions. Read this Shiksha article to learn about the CUET PG 2025 MSc Mathematics syllabus for the academic session 2025. Also, check the exam pattern and eligibility criteria for MSc Mathematics courses.

CUET PG Mathematics Syllabus

CUET PG Exam 2025 is the national exam, conducted by the National Testing Agency (NTA) to provide admission to candidates in various postgraduate courses in central/private/deemed/state universities across India. Aspirants seeking admission to the CUET PG Mathematics course should be aware of the CUET PG Mathematics syllabus. NTA has recently released the CUET PG mathematics syllabus pdf 2025 on the official website.

Also Read:

• CUET PG 2025 Eligibility Criteria for Science Stream: Check Subject Wise Eligibility Here 
• CUET PG 2025 Changes: Exam Pattern (Revised), General Paper (Redesigned) and Other Details 

The CUET PG Mathematics syllabus includes several important topics such as Algebra, Real Analysis, Complex Analysis, Integral Calculus and more. The CUET PG Mathematics syllabus is divided into many sections. Students who are preparing for the exam should know CUET PG application form 2025 released on January 2, 2025 and the last date for filling the form is February 1, 2025. CUET PG 2025 Exam Date is out and the exam is scheduled between March 13, 2025, to March 31, 2025. 

Each section includes specific topics in detail. Candidates preparing for the CUET PG exam can get a better understanding of the exam with the help of the CUET PG syllabus and can increase their chances of securing a seat in the CUET-accepting university/college of their choice. It is worth mentioning here that NTA has not released the CUET PG 2025 syllabus, however, candidates can go through the previous year's syllabus for reference. Notably, the subject-wise CUET PG syllabus will be announced along with the CUET PG 2025 information brochure.

CUET PG 2025 Mathematics Syllabus Released

Candidates preparing for the CUET PG MSc course can refer the table below to know about the syllabus and prepare accordingly. Check out the detailed syllabus of CUET PG Mathematics below.

CUET PG 2025 Mathematics Syllabus (Detailed)

Candidates preparing for CUET PG Mathematics exam can get a detail overview of CUET PG Mathematics syllabus here.

Algebra: Groups, subgroups, Abelian groups, non-abelian groups, cyclic groups, permutation groups; Normal subgroups, Lagrange's Theorem for finite groups, group homomorphism and quotient groups, Rings, Subrings, Ideal, Prime ideal; Maximal ideals; Fields, quotient field.

Vector spaces, Linear dependence and Independence of vectors, basis, dimension, linear transformations, matrix representation with respect to an ordered basis, Range space and null space, rank-nullity theorem; Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions. Eigenvalues and eigenvectors. Cayley-Hamilton theorem. Symmetric, Skew symmetric, Hermitian, Skew-Hermitian, Orthogonal and Unitary matrices.

Real Analysis: Sequences and series of real numbers. Convergent and divergent sequences, bounded and monotone sequences, Convergence criteria for sequences of real numbers, Cauchy sequences, absolute and conditional convergence; Tests of convergence for series of positive terms-comparison test, ratio test, root test, Leibnitz test for convergence of alternating series.

Functions of one variable: limit, continuity, differentiation, Rolle's Theorem, Cauchy’s Taylor's theorem. Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets; completeness of R, Power series (of real variable) including Taylor's and Maclaurin's, domainof convergence, term-wise differentiation and integration of power series.

Functions of two real variable: limit, continuity, partial derivatives, differentiability, maxima and minima. Method of Lagrange multipliers, Homogeneous functions including Euler's theorem.

Complex Analysis: Functions of a complex Variable, Differentiability and analyticity, Cauchy Riemann Equations, Power series as an analytic function, properties of line integrals, GoursatTheorem, Cauchy theorem, consequence of simply connectivity, index of a closed curves.

Cauchy’s integral formula, Morera’s theorem, Liouville’s theorem, Fundamental theorem of Algebra, Harmonic functions.

Integral Calculus: Integration as the inverse process of differentiation, definite integrals and their properties, Fundamental theorem of integral calculus. Double and triple integrals, changeof order of integration. Calculating surface areas and volumes using double integrals and applications. Calculating volumes using triple integrals and applications.

Differential Equations: Ordinary differential equations of the first order of the form y'=f(x,y).

Bernoulli's equation, exact differential equations, integrating factor, Orthogonal trajectories, Homogeneous differential equations-separable solutions, Linear differential equations of secondand higher order with constant coefficients, method of variation of parameters. Cauchy-Euler equation.

Vector Calculus: Scalar and vector fields, gradient, divergence, curl and Laplacian. Scalar line integrals and vector line integrals, scalar surface integrals and vector surface integrals, Green's, Stokes and Gauss theorems and their applications.

Linear Programing: Convex sets, extreme points, convex hull, hyper plane & polyhedral Sets, convex function and concave functions, Concept of basis, basic feasible solutions, Formulation of Linear Programming Problem (LPP), Graphical Method of LPP, Simplex Method.

Also Read: CUET PG Syllabus

CUET PG Mathematics Syllabus PDF Download

CUET PG 2025 Mathematics syllabus is yet to be released by NTA. However, candidates can download the CUET PG 2024 Mathematics Syllabus from the link given below:

Best Books for CUET PG Mathematics

Candidates preparing for the CUET PG Mathematics course can refer to the below-mentioned books to prepare for the exam.

• A Problem Book in Mathematical Analysis by GN Berman
• Skills in Mathematics by Arihant

CUET PG Syllabus 2025: Subject Wise

NTA, has divided the CUET PG syllabus into 6 domains of subject courses. The domains are as follows: Acharya, Common Humaties, Languages, MTech and Science stream. The domain's subject specific syllabus and question paper are mentioned below:

CUET PG 2025 Exam Structure

The medium of the Mathematics question paper will be English and Hindi. As per the CUET PG Mathematics exam pattern 2025, the question paper will consist of 75 questions. Part A or the general section was removed where questions from general reasoning/ aptitude were asked. The domain-specific questions will now be there to test the candidate's analytical and cognitive approach towards the applied course in the CUET PG 2025 examination.

The following table brings the structure of the CUET PG 2025 Mathematics question paper.

CUET PG 2025 Mathematics: Eligibility Criteria

Candidates aspiring to appear in the CUET PG Mathematics exam can check the space below to know about the eligibility criteria for CUET PG Mathematics course.  

Age Limit

For appearing in the CUET (PG) 2025, there is no age limit for the candidates. The candidates who have passed the bachelor's degree/equivalent examination or appearing in 2025 irrespective of their age can appear in master’s degree programmes in the Central Universities through CUET (PG) 2025 examination. However, the candidates will be required to fulfil the age criteria of the University to which they are desirous of taking admission.

Educational Qualification

• Bachelor Degree with at least two (02) Courses in Mathematics from a recognized University.
• 50% marks in aggregate or equivalent grade for candidates belonging to UR/OBC/EWS category.
• 45% marks in aggregate or equivalent grade for candidates belonging to SC/ST/PwBD category.

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