CUET PG Mathematics Syllabus 2025
CUET PG Mathematics Syllabus 2025, Download Unit Wise Syllabus PDF
The CUET PG Mathematics Syllabus for 2025 is a crucial framework designed for candidates preparing for the Common University Entrance Test (CUET) aimed at postgraduate admissions. This syllabus, published by the National Testing Agency (NTA), outlines the essential topics and units that students must master to succeed in the examination scheduled for March 2025.
The syllabus encompasses a range of mathematical disciplines, including Algebra, Real Analysis, Complex Analysis, Integral Calculus, Differential Equations, Vector Calculus, and Linear Programming. Each unit is structured to enhance students' understanding and problem-solving skills, ensuring they are well-prepared for the challenges of postgraduate mathematics. A comprehensive grasp of these topics not only aids in performing well on the CUET PG exam but also lays a strong foundation for advanced studies and research in mathematics.
CUET PG Mathematics Syllabus 2025
The CUET PG Mathematics Syllabus for 2025 is now available in PDF format on this page. Individuals preparing for the CUET PG 2025 Mathematics exam can access the PDF by clicking here. The syllabus is also available on the official CUET PG 2025 website managed by the National Testing Agency (NTA). To excel in the CUET PG exam, candidates must have a thorough understanding of the syllabus. Candidates should prepare extensively for the exam by reviewing the units, topics, and subtopics outlined in the CUET PG Mathematics Syllabus 2025. The syllabus encompasses Algebra, Calculus, Linear Programming, Complex Analysis, Real Analysis, Integral Calculus, Differential Equations, and Vector Analysis. This comprehensive syllabus provides detailed information on each unit, topic, and sub-topic, and candidates can refer to this article for more details on the CUET PG Mathematics Syllabus 2025.
CUET PG Mathematics Exam 2025
The CUET PG Mathematics Exam 2025 will be conducted from March 11 to March 28, 2025, enabling students to pursue postgraduate mathematics courses at participating universities across India. The syllabus for CUET PG in the academic session 2025-26 is anticipated to be similar to that of previous years. Prospective candidates are encouraged to review the CUET PG Mathematics Syllabus 2025 to familiarize themselves with the topics covered in the Common Entrance Test. The CUET PG Mathematics Syllabus 2025 includes essential subjects and topics for the CUET PG 2025 exam. This syllabus has been meticulously designed by the examination authority to evaluate the depth of knowledge of undergraduate students in their respective domains. It aligns with undergraduate coursework, reflecting the subjects studied during candidates' specific undergraduate courses.
CUET PG Mathematics Syllabus 2025 Overview
The Common University Entrance Test for Postgraduates (CUET PG) 2025 is a national entrance examination for admission to postgraduate programs at Central Universities. Approximately 9.5 lakh candidates have registered for the CUET PG 2025 exam since the registration process began. The CUET PG 2025 will be attended by 42 central, state, and deemed universities. The University Grants Commission has assigned the National Testing Agency to administer the CUET PG 2025 exam. For most papers, the CUET PG 2025 examination is divided into two parts. Part A, worth 100 marks, includes questions on verbal ability, language comprehension, general awareness, mathematical and quantitative ability, and analytical skills. Part B, worth 300 marks, assesses domain knowledge. The CUET PG Mathematics examination 2025 consists of 400 marks. This article provides a detailed mathematics syllabus for CUET PG 2025. The CUET PG Mathematics Syllabus 2025 Overview is as follows:
| Particulars | Details |
|---|---|
| Examination Name | CUET PG Mathematics Exam 2025 |
| Full Name | Common University Entrance Test (PG) |
| Total No of Questions in Mathematics Exam | 100 questions (Part-A: 25 Q & Part-B 75 Q) |
| Total No of Questions to be Answered | 100 questions |
| Total Marks in Mathematics Exam | 400 |
| Number of Parts in the Question Paper | 02 |
| Mathematics Exam Duration | 120 minutes |
| Negative Marking | Yes |
| Mode of the Exam | Computer Based Test |
| Frequency of Exam | Once a year |
| Question Type | Objective Type (MCQs) |
| Marking Scheme | Marks per correct answer: +4 |
| Marks per wrong answer: -1 | |
| Marks per unanswered question: 0 | |
| Official Website | cuet.nta.nic.in |
CUET PG Mathematics Syllabus 2025 PDF Download
Students interested in the Mathematics domain for CUET PG 2025 should familiarize themselves with the syllabus details. The CUET PG 2025 Mathematics Syllabus PDF can be downloaded below. Candidates can click the provided link to download the PDF document and view the syllabus in detail.
| Subject | Download Link |
|---|---|
| CUET PG Syllabus 2025 Mathematics PDF | Soon |
CUET PG Mathematics Unit Wise Syllabus 2025
The following is a detailed overview of the CUET PG Mathematics Syllabus for 2025, encompassing topics such as differential equations, real analysis, complex analysis, algebra and vector spaces, integral calculus, vector calculus, and linear programming. Each chapter outlines specific concepts, providing candidates with a comprehensive understanding of the curriculum.
CUET PG Mathematics Unit Wise Syllabus 2025
| Chapters | Topics |
|---|---|
| Algebra | Groups, subgroups, Abelian and 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 power series integration. |
| Functions of Two Variables | Functions of two real variables: 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 curve. 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 Programming | Convex sets, extreme points, convex hull, hyperplane & polyhedral sets, convex 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 2025 Preparation Tips
Here are some essential preparation tips for the CUET (PG) 2025 Mathematics exam:
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Practice Extensively: To excel in mathematics, practical application is crucial. Aspirants should dedicate significant time to practice, enhancing their skills and performance in the exam. Consistent practice is highly recommended.
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Familiarize Yourself with Formulas: Memorizing various formulas is vital in mathematics. Candidates should create a list of formulas and review them daily. Making a formula chart and displaying it in a frequently visited location can aid in revision.
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Comprehend Derivations: Students must understand the derivations and their underlying logic. Simply knowing the formulas is insufficient; the ability to apply them and comprehend the logic is essential for solving mathematical problems effectively.
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Seek Clarification for Doubts: Uncertainties may arise during practice due to the nature of mathematics. Aspirants must seek clarification for any uncertainties promptly. A reliable source to address doubts, whether through a teacher, a friend, or online resources such as Home Tution, is crucial. Mathematics is best mastered through practical application.
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Regular Revision: Revision is an essential part of preparation. Candidates are strongly advised to review their commitment, which significantly helps to recall learned concepts and deepen understanding. It is recommended that candidates set aside at least one month for thorough revision.
Home Tution offers the best CUET PG Online Coaching, providing candidates with comprehensive study materials, interactive online classes, practice sets, and mock tests carefully designed to align with the latest CUET PG Exam Pattern. By enrolling in our CUET PG Online Courses, candidates can ensure thorough preparation and gain access to the necessary tools to excel in their CUET PG exams. Our online coaching for CUET PG is affordable and guided by the nation’s top educators.
Chapter Wise Solutions - Download Free PDF
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Frequently Asked Questions on CUET PG Mathematics Syllabus 2025
To prepare effectively for the CUET PG Mathematics exam, candidates should adopt a structured study plan that includes regular practice of previous years' question papers, focusing on high-weightage topics, and understanding the exam pattern. Utilizing online resources and coaching can also enhance preparation by providing additional guidance and support.
In the CUET PG Mathematics exam, a total of 75 questions are presented, all of which are multiple-choice questions (MCQs). Candidates are required to answer all questions, and the exam is structured to assess their domain knowledge thoroughly. The total marks for the exam are 300, with a marking scheme that awards four points for each correct answer and deducts one point for each incorrect response.
Candidates cannot skip Mathematics in the CUET PG exam if they are applying for programs that require it as part of their domain-specific subjects. Mathematics is a compulsory section for those aiming for postgraduate courses in fields that necessitate mathematical proficiency.
The syllabus for CUET PG Mathematics includes a range of topics that are critical for candidates to master. These topics encompass algebraic concepts, calculus, and advanced mathematical theories, ensuring a well-rounded preparation for the exam. Candidates can download the detailed syllabus from official sources to aid in their study efforts.
The CUET PG Mathematics syllabus comprises seven key units, which include Algebra, Real Analysis, Complex Analysis, Integral Calculus, Differential Equations, Vector Calculus, and Linear Programming. Each unit covers various topics essential for a comprehensive understanding of mathematics, and candidates are expected to be well-versed in these areas to perform effectively in the exam.