CUET PG Mathematics Syllabus 2025: Important Topics, Exam Pattern, Topic-Wise Weightage & Difficulty Level

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Sahaj Anand

Content Writer | Journalism Graduate

The National Testing Agency(NTA) released the CUET PG 2025 Mathematics Syllabus on 2nd January 2025. The CUET PG 2025 Exams will take place from 13th March to 31st March in 3 shifts every day at various exam centers and more than 3 lakh candidates are expected to appear.

The Mathematics exam will consist of 100 multiple-choice questions (MCQs) with a total of 400 marks and a negative marking of -1 for each wrong answer.

  • The Mathematics syllabus consists of Algebra, Real Analysis, Complex Analysis, Differential Equations, and Linear Algebra, with Algebra and Analysis taking up almost 50% of the paper.
  • The exam will be conducted in CBT Mode in 2 hours(120 Minutes).
  • According to past year trends, Conceptual & Application-based questions form 60-70% of the paper, so problem-solving skills will play an important role.

In CUET PG 2024, the top scorer in Mathematics achieved 386 marks out of 400, and the 90th percentile students achieved more than 250 marks. The median score of the top-performing universities was between 200-220 marks.

CUET PG 2025 Mathematics Exam Pattern

The CUET PG 2025 Mathematics Exam 100 MCQs include topics such as Algebra, Real Analysis, and Differential Equations with a total of 400 marks which has to be finished in 120 Minutes.

Section Details
Mode of Exam Computer-Based Test (CBT)
Total Questions 100 MCQs
Total Marks 400
Marking Scheme (+4) for correct answer, (-1) for incorrect answer
Duration 2 Hours (120 Minutes)
Question Type Multiple-choice questions (MCQs)
Language English & Hindi (Except for language-based subjects)

Check, the latest updates related to CUET PG 2025:

CUET PG 2025

The CUET PG 2025 (Common University Entrance Test for Postgraduate Programs) is a national-level entrance test carried out by NTA for admission into central, state, and affiliated universities.

What is the syllabus for CUET 2025?

CUET PG 2025 syllabus differs for every subject and features core subjects relevant to postgraduate programs. The applicants can see the subject-wise syllabus in the official NTA syllabus PDF.

For the Syllabus of Each Subject candidates can check these:

What are the programs offered in CUET PG 2025?

CUET PG 2025 provides admission to postgraduate degrees like M.Sc., M.A., M.Com., M.Tech., MBA, and LLM in central, state, and participating universities.

Candidates who aspire to mathematics can seek admission to M.Sc. Mathematics, M.Sc. Applied Mathematics, M.Sc. Statistics, and inter-disciplinary courses in various universities.

CUET PG 2025 Mathematics Section-Wise Marking Scheme

The CUET PG 2025 Mathematics entrance exam consists of 100 MCQs which are distributed under various topics of mathematics such as Algebra, Analysis, Calculus, and Differential Equations and the overall marks are 400.

Section Approximate No. of Questions Marks per Question Total Marks
Algebra 25 4 100
Real & Complex Analysis 20 4 80
Calculus 15 4 60
Differential Equations 15 4 60
Linear Algebra 10 4 40
Numerical Methods & Probability 15 4 60
Total 100 4 400

CUET PG 2025 Mathematics Topic-Wise Weightage

CUET PG 2025 Mathematics paper is meant to test theoretical concepts and problem-solving skills, with a focus on Algebra, Analysis, and Calculus, which collectively carry nearly 60% of the marks. Following previous trends, 35-40% questions are of moderate level, 30-35% are conceptual, and 25-30% are advanced problem-solving.

1. Algebra

Subtopics Expected No. of Questions Weightage (%)
Groups, Rings, and Fields 6-8 6-8%
Vector Spaces 5-6 5-6%
Matrices and Determinants 5-6 5-6%
Eigenvalues and Eigenvectors 4-5 4-5%
Total 20-25 20-25%

2. Real & Complex Analysis

Subtopics Expected No. of Questions Weightage (%)
Sequences and Series 5-6 5-6%
Functions of Real Variables 4-5 4-5%
Differentiability & Integrability 4-5 4-5%
Complex Functions and Contours 5-6 5-6%
Total 18-22 18-22%

3. Calculus

Subtopics Expected No. of Questions Weightage (%)
Limits and Continuity 3-4 3-4%
Differentiation & Applications 4-5 4-5%
Integration & Applications 4-5 4-5%
Total 12-15 12-15%

4. Differential Equations

Subtopics Expected No. of Questions Weightage (%)
Ordinary Differential Equations 5-6 5-6%
Partial Differential Equations 4-5 4-5%
Laplace Transforms 2-3 2-3%
Total 10-12 10-12%

5. Linear Algebra

Subtopics Expected No. of Questions Weightage (%)
Linear Transformations 3-4 3-4%
Rank & Nullity 3-4 3-4%
Inner Product Spaces 2-3 2-3%
Total 8-10 8-10%

6. Numerical Methods & Probability

Subtopics Expected No. of Questions Weightage (%)
Numerical Solutions of Equations 3-4 3-4%
Interpolation & Approximation 2-3 2-3%
Probability Distributions 3-4 3-4%
Total 8-12 8-12%

CUET PG 2025 Mathematics Important Topics

The CUET PG 2025 Mathematics exam includes major topics such as Algebra, Real & Complex Analysis, and Calculus. It is crucial to master these subjects to achieve a high score.

Following is a summary of the most critical topics according to past exam trends:

Topic Key Subtopics Importance Level
Algebra
  • Groups
  • Rings
  • Fields
  • Matrices
  • Eigenvalues
Very High
Real & Complex Analysis
  • Sequences
  • Series
  • Differentiability
  • Contours
Very High
Calculus
  • Limits
  • Differentiation
  • Integration
High
Differential Equations
  • ODEs
  • PDEs
  • Laplace Transforms
High
Linear Algebra
  • Vector Spaces
  • Linear Transformations
Moderate
Numerical Methods
  • Interpolation
  • Numerical Integration
Moderate
Probability & Statistics
  • Probability Distributions
  • Statistical Methods
Low-Moderate

Is Maths Difficult in CUET?

The difficulty of Mathematics in CUET PG 2025 depend upon the candidate's preparation as well as concept clearance. Based on past analysis, the test has generally been found to be of moderate to challenging difficulty with 35-40% of questions based on applications requiring high-level problem-solving.

Is 120 a good score in CUET pg?

A score of 120 in CUET PG 2025 is average, but its importance will be based on the cutoff of the university and course you are applying to. The top universities such as DU, JNU, and BHU have higher cutoffs, whereas regional universities and newer central universities have lower cutoffs.

CUET PG 2025 Good Score Analysis

Score Range Evaluation Top Universities Accepting This Score Is It a Good Score?
250+ Excellent, high chance in top universities Delhi University (DU), JNU, BHU, Hyderabad University Yes
200-250 Very good, qualifies for most programs Jamia Millia Islamia (JMI), Allahabad University, Tezpur University Yes
150-200 Good, eligible for many central universities Pondicherry University, Central University of Rajasthan, Visva-Bharati University Yes
120-150 Average, possible admission in select programs Central University of Gujarat, Mahatma Gandhi Central University, North-Eastern Hill University Maybe
Below 120 Low, limited chances in competitive programs Private or lesser-known state universities No
  • In CUET PG 2024, the DU Mathematics program had a cutoff of about 220-230 in the general category, so 120 was a low score for top universities.
  • 85% of students who scored above 200 were admitted to central universities, while those who scored between 120-150 had fewer choices.
  • Universities with larger intake capacity will have lower cutoffs, and 120-140 would thus be a borderline mark for entry into less competitive courses.

CUET PG 2025 Mathematics Last 15 Days Preparation Strategy

With only 15 days remaining for CUET PG 2025 Mathematics, students need to divert their attention to revision, time management, and practice of mock tests. Focus on high-weightage topics, rapid revision strategies, and practicing the previous year's papers will increase accuracy and speed.

Days Left Focus Area Action Plan
Day 1-3 High-weightage Topics Revise Algebra, Real Analysis, and Differential Equations, as they have accounted for 50-60% of previous papers. Emphasize key theorems and problem-solving methods.
Day 4-6 Problem Solving Practice Linear Algebra, Complex Analysis, and Probability. Practice 30-40 MCQs a day for accuracy.
Day 7-9 Time-bound Practice Try out lengthy practice exams in exam settings. Examine errors and make revisions to weak regions.
Day 10-12 Concept Reinforcement Examine mechanics and numerical methods. Pay attention to past-year questions, shortcuts, and formulas.
Day 13-14 Quick Revision Review all of the theorems, formulas, and strategies for solving problems. Examine the mistake analysis of earlier practice exams.
Day 15 Light Review & Relaxation Go over brief notes, try a final edit, and stay away of new topics. Get enough sleep the night before the test.

CUET PG 2025 Mathematics Syllabus

By CUET PG 2025 Mathematics syllabus candidates will be tested on Algebra, Real & Complex Analysis, Linear Algebra, Differential Equations, Numerical Methods, Probability & Statistics, and others.

Unit Sub-Topics Explanation
Algebra
  • Groups
  • Rings
  • Fields
  • Matrices
  • Eigenvalues
  • Cayley-Hamilton theorem
Covers elementary algebraic structures and their applications. Matrix algebra focuses on determinants, rank, eigenvalues, and eigenvectors, with the Cayley-Hamilton theorem being a highlight.
Real Analysis
  • Sequences
  • Series
  • Limits
  • Continuity
  • Differentiability
  • Riemann Integration
Emphasize limits, continuity, and differentiability as these are pivotal to the concept of functions and convergence. Riemann integration is a core topic for definite integrals.
Complex Analysis
  • Analytic Functions
  • Cauchy’s Theorem
  • Residue Theorem
  • Contour Integration
Includes operations with complex variables, their differentiability, and Residue & Cauchy's Theorems that enable one to evaluate complex integrals.
Linear Algebra
  • Vector Spaces
  • Basis & Dimension
  • Linear Transformations
  • Inner Product Spaces
Focuses on the basis, dimension, and vector spaces that form the basis for solving linear systems. Linear transformations are used widely in applied mathematics.
Calculus
  • Differentiation
  • Integration
  • Maxima & Minima
  • Taylor & Maclaurin Series
Includes Taylor and Maclaurin series approximations, derivatives, and integration techniques. For optimization, maxima and minima are essential.
Differential Equations
  • First-Order & Higher-Order ODEs
  • Partial Differential Equations
  • Laplace Transforms
Explains methods for solving partial and ordinary differential equations, which are used extensively in physics and engineering. Laplace transforms simplify the process of solving differential equations.
Numerical Methods
  • Interpolation
  • Numerical Integration
  • Iterative Methods
Focuses on using computational techniques to solve problems and generate numerical estimates which is related to pragmatic objectives.
Probability & Statistics
  • Probability Distributions
  • Bayes’ Theorem
  • Hypothesis Testing
Explores statistical inference, probability theory, and hypothesis testing—all of which are critical for analyzing data and making decisions.
Mechanics & Fluid Dynamics
  • Newton’s Laws
  • Euler’s Equations
  • Bernoulli’s Theorem
Applies mathematical ideas to motion, forces, and fluid movement. Bernoulli's theorem explains how pressure is distributed in fluids.

Best Books for CUET PG 2025 Mathematics Preparation

Selecting appropriate books plays an important role in CUET PG 2025 preparation in Mathematics. Contenders must use books that involve theoretical concepts, problem-solving strategies, and last year's questions. Following are the best-recommended books along with authors to help in candidates preparation:

CUET PG 2025 Mathematics Preparation Books

Book Name Author
Higher Algebra Hall & Knight
Linear Algebra Seymour Lipschutz
Real Analysis S.C. Malik & Savita Arora
Complex Analysis Churchill & Brown
Differential Equations G.F. Simmons
Probability and Statistics S.C. Gupta & V.K. Kapoor
Numerical Methods for Scientists and Engineers Richard Hamming
A Course in Abstract Algebra Vijay K. Khanna & S.K. Bhambri
Advanced Engineering Mathematics Erwin Kreyszig
Mathematical Methods S.R. K. Iyengar & R.K. Jain

*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.

Fees Structure

Structure based on different categories

CategoriesState
General800
sc550

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