A CUET PG Mathematics mock test from Toppersexam.com is a practice paper based on the latest exam pattern and syllabus, designed to help you assess your preparation level.
CUET PG Mathematics Free Mock Test
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CUET PG Mathematics Syllabus 2027, Exam Pattern
CUET PG (Mathematics) Syllabus 2027, Exam Pattern, Exam Date 2027
Detail Information about CUET has published notification 2027 for the recruitment of PG Mathematics (SCQP19) vacancies. Those Candidates who are Interested to the following vacancy and completed all Eligibility Criteria can read the Notification & Apply Online. In this page we provide the Complete Syllabus of this Recruitment with Latest Update Exam Pattern and the Exam
CUET PG (Mathematics) Syllabus 2027 - Overview
Mathematics (SCQP19)
CUET PG (Mathematics) Syllabus 2027 - Overview
| Full Exam Name | Central Universities Entrance Test (CUET) |
| Conducting Body | National Testing Agency (NTA) |
| Frequency of Conduct | Once a year |
| Exam Level | University Level |
| Courses Offered | Postgraduate |
| Mode of Application | Online |
| Mode of Exam | Online (Computer-based Test) |
| Type of questions | Multiple-choice questions |
| Category | Syllabus |
| Official website | https://cuet.nta.nic.in/ |
CUET PG (Mathematics) Syllabus 2027
Mathematics (SCQP19)
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, 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, Goursat Theorem, 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, 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 second and 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.
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, 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, Goursat Theorem, 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, 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 second and 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.
CUET PG (Mathematics) Exam Pattern 2027
Negative Marking : 01
Medium : English and Hindi
Correct Answer : 4 marks will be awarded for each correct response.
Mathematics (SCQP19)
Duration : 90 MinutesNegative Marking : 01
Medium : English and Hindi
Correct Answer : 4 marks will be awarded for each correct response.
| S.No | Subject | No.of Question | Marks |
| 1. | Mathematics | 75 | 300 |
| Total | 75 | 300 |
CUET PG Exam Date 2027 : March to April 2027 (Tentative)
Starting Date of Application Form : January 2027
Starting Date of Application Form : January 2027
Last Date of Application Form : February 2027
CUET PG (Mathematics) Exam Free Online Test Series
Crack CUET PG Mathematics (SCQP19) exam with the help of Online Test Series or Free Mock Test. Every Sample Paper in CUET PG Exam has a designated weightage so do not miss out any Paper. Preprare and Practice Mock for Central Universities Entrance Test (CUET PG) exam and check your test scores.
CUET PG Mathematics Exam Free Online Question Bank
CUET PG Mathematics question answer with solutions are available in Hindi & English. Join MCQ, Important Questions, Question Bank, questions and answers for Free CUET PG Mathematics exam preparation.
Combo Offers
CUET PG Mathematics Combo Packages
We Launches Combo Offers ! with Heavy Discount and Cost Saving Prices. Combo Packages includes - Online Mock Test Series + Important Questions or MCQs + Previous Year Papers with Answer.
Combo Package
CUET PG Mathematics
Combo - 1 (Hindi)
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2. Question Bank - 1000 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
4. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
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Combo Package
CUET PG Mathematics
Combo - 2 (Hindi)
1. Online Mock Test Series in Hindi = 20 Tests.
2. Question Bank - 1500 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
4. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
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3. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
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Combo Package
CUET PG Mathematics
Combo - 3 (English)
1. Online Mock Test Series in English = 10 Tests.
2. Question Bank - 1000 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in English.
4. 1000 (+) GK MCQ with Answer PDF Book in English.
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3. 1500 (+) Current Affairs MCQ with Answer PDF in English.
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Combo Package
CUET PG Mathematics
Combo - 4 (English)
1. Online Mock Test Series in English = 20 Tests.
2. Question Bank - 1500 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in English.
4. 1000 (+) GK MCQ with Answer PDF Book in English.
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3. 1500 (+) Current Affairs MCQ with Answer PDF in English.
4. 1000 (+) GK MCQ with Answer PDF Book in English.
₹261₹291
Combo Package
CUET PG Mathematics
Combo - 5 (Hindi)
1. Online Mock Test Series in Hindi = 20 Tests.
2. Question Bank - 1500 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
5. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
2. Question Bank - 1500 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
5. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
₹681₹751
Combo Package
CUET PG Mathematics
Combo - 6 (English)
1. Online Mock Test Series in English = 20 Tests.
2. Question Bank - 1500 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. 1500 (+) Current Affairs MCQ with Answer PDF in English.
5. 1000 (+) GK MCQ with Answer PDF Book in English.
2. Question Bank - 1500 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. 1500 (+) Current Affairs MCQ with Answer PDF in English.
5. 1000 (+) GK MCQ with Answer PDF Book in English.
₹681₹751
Combo Package
CUET PG Mathematics
Combo - 7 (Hindi)
1. Online Mock Test Series in Hindi = 20 Tests.
2. Question Bank - 1500 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. EBook of CUET PG Mathematics (1000 MCQ) PDF Format in Hindi.
5. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
6. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
2. Question Bank - 1500 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. EBook of CUET PG Mathematics (1000 MCQ) PDF Format in Hindi.
5. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
6. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
₹781₹941
Combo Package
CUET PG Mathematics
Combo - 8 (English)
1. Online Mock Test Series in English = 20 Tests.
2. Question Bank - 1500 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. EBook of CUET PG Mathematics (1000 MCQ) PDF Format in English.
5. 1500 (+) Current Affairs MCQ with Answer PDF in English.
6. 1000 (+) GK MCQ with Answer PDF Book in English.
2. Question Bank - 1500 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. EBook of CUET PG Mathematics (1000 MCQ) PDF Format in English.
5. 1500 (+) Current Affairs MCQ with Answer PDF in English.
6. 1000 (+) GK MCQ with Answer PDF Book in English.
₹781₹941
FAQs
CUET Mathematics (pg) 2027 Free Mock Test Frequently Asked Questions (FAQ's)
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