CUET PG Mathematics Syllabus 2025, Download MSc Maths Syllabus PDF

The National Testing Agency publishes the CUET PG Mathematics syllabus 2025 on its official website at pgcuet.samarth.ac.in. The CUET PG Maths Syllabus 2025 includes units like Algebra, real analysis, complex analysis, integral calculus, differential equations, vector calculus, and linear programming. To score well on the CUET PG exam, candidates must have a complete comprehension of the CUET PG MSc Mathematics syllabus. Candidates planning to take the CUET PG Mathematics domain must go through the MA Maths syllabus for CUET PG 2025 in detail given on this page.

CUET PG Mathematics Syllabus 2025

The Common University Entrance Test PG (CUET PG) 2025 is a national-level entrance examination for students seeking admission to postgraduate programmes at participating universities.  The National Testing Agency will administer the CUET PG exam in Computer Based Test (CBT) mode in the month of March 2025. Candidates preparing for the CUET PG test can have a better grasp of the CUET PG Mathematics syllabus and Exam Structure. which boosts their chances of admission into the desired university/college.

After obtaining an MSc Degree in Mathematics at a recognized University, you will have a variety of job opportunities. Some common ones include You can pursue a Ph.D. in Mathematics and work in academia as a professor or researcher. You can also become.  Lecturer or assistant professor at colleges and universities. – Research scientist or mathematician at research institutes.
Educational roles include teaching mathematics at secondary or higher secondary schools.

CUET PG Maths Syllabus 2025

Aspirants interested in taking the CUET PG Mathematics course should be aware of the CUET PG Mathematics syllabus and exam structure. The Mathematics question paper will be written in English and Hindi. The question paper for the CUET PG Mathematics exam pattern 2025 will comprise 75 questions. All the questions All questions will be based on Subject-Specific Knowledge (Mathematics). Refer to the Table that Consists of the CUET PG Maths Exam Pattern.

CUET PG MSc Mathematics Syllabus 2025

Mathematics is a comprehensive and diversified discipline that includes a wide range of concepts, theories, and applications. The CUET PG MSc Maths syllabus 2025 is intended to provide students with a thorough understanding of these topics as well as to help them build problem-solving talents, critical thinking abilities, and analytical reasoning abilities.

The CUET PG 2025 Maths Syllabus is usually broken into seven sections, each focusing on a different field of mathematics. Let’s look at the topics and subtopics included in each unit of the CUET PG Maths Syllabus.

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, boundedand 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, domain of 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 simple connectivity, index of closed curves. Cauchy’s integral formula, Morera’s theorem, Liouville’s theorem, Fundamental theorem of Algebra, and 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, change of 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 secondhand 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, hyperplane & 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.

CUET PG Mathematics Syllabus PDF Download

The CUET PG Mathematics Syllabus includes all of the major disciplines and subjects that will be covered on the CUET PG 2025 exam. Before beginning their preparation, students should read through the entire CUET PG Maths Syllabus. We have published the CUET PG Mathematics Syllabus PDF below for the student’s convenience.

CUET PG Maths Syllabus 2025 PDF Download

MSc Mathematics Syllabus 2025- Books

For an extensive understanding of the themes and subtopics, we have included a collection of exceptional books that outline the CUET PG Mathematics syllabus. For the best preparation for the CUET PG Maths test, candidates should read the following books:

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

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