CUET Maths Syllabus 2025; Download Applied Maths Syllabus PDF

The National Testing Agency (NTA) has released the CUET UG 2025 Mathematics syllabus for the Common University Entrance Test (CUET). Students can access and download the syllabus directly from the official CUET website. For your convenience, you can also find the syllabus in PDF format on this page.

The CUET Mathematics syllabus outlines all the topics and units that will be included in the exam, making it an essential resource for anyone aiming to perform well and secure admission to their dream college for mathematics.

Success in mathematics requires a clear understanding of concepts and consistent practice. The more you revise and solve problems, the stronger your foundation becomes. While the CUET Maths syllabus might seem extensive, proper planning and a strategic approach to preparation can help you master it and score high marks.

To ensure success, students are encouraged to thoroughly review the syllabus, identify key areas, and leave no topic unchecked in their preparation journey. With determination and the right preparation strategy, you can achieve your academic goals in mathematics.

CUET Maths Syllabus 2025: Overview

CUET UG Maths Syllabus
Exam Conducted By	National Testing Agency
Medium of Exam	13 Languages (English, Kannada, Hindi, Punjabi, Marathi, Tamil, Urdu, Malayalam Odia, Assamese Telugu, Bengali and Gujarati )
Exam Mode	CBT
Time Allotted	45 Minutes
Total number of questions in the Maths section	85 Questions
Total Marks in Maths	325
Marking Scheme	Marks for Correct answer: +5 Marks for Wrong answer: -1 Marks for Questions: 0

CUET Maths Syllabus 2025 Unit-wise

The CUET Maths Syllabus 2025 is structured into two main sections: Section A and Section B.

• Section A consists of 15 compulsory questions that cover topics from both Mathematics and Applied Mathematics. All candidates must attempt these questions.
• Section B is further divided into two parts:
  • Section B1 focuses exclusively on Mathematics. It includes 35 questions, out of which candidates need to attempt 25 questions.
  • Section B2 is dedicated solely to Applied Mathematics. Like Section B1, it also contains 35 questions, and candidates are required to answer 25.

This flexible structure allows students to focus on their strengths, whether it’s core Mathematics or Applied Mathematics, while ensuring a comprehensive evaluation of their skills.

UNIT I: RELATIONS AND FUNCTIONS

1. Relations and Functions

Types of relations:Reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations.

2. InverseTrigonometricFunctions

Definition,range, domain, principal value branches. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.

UNIT II: ALGEBRA

1. Matrices

Concept,notation,order, equality, types of matrices, zero matrix,transpose of a matrix, symmetric and skew symmetric matrices. Addition, multiplication and scalar multiplication of matrices,simple properties of addition, multiplication and scalar multiplication. Non-commutativity of multiplication of matrices and existence of non-zeromatriceswhose productisthe zeromatrix (restrict to square matrices of order 2). Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse,if it exists; (Here all matrices will have real entries).

2. Determinants

Determinant of a square matrix (upto3×3matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix.Consistency, in consistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution)using inverse of a matrix.

UNIT III: CALCULUS

1. Continuity and Differentiability

Continuity and differentiability, derivative of composite functions, chainrule, derivatives of inverse trigonometric functions,derivative of implicit function.Concepts of exponential, logarithmic functions. Derivatives of log x and e x .Logarithmic differentiation.Derivative of functions express endoparametric forms. Second-order derivatives.Rolle’s and Lagrange’s Mean ValueTheorems(without proof) and their geometric interpretations.

2. Applications of Derivatives Applications of derivatives: Rate of change, increasing/decreasing functions,tangents and normals, approximation,maxima and minima (first derivativetest motivatedgeometricallyandsecondderivative test given as a provable tool).Simple problems(thatillustrate basic principles and understanding of the subject as well as real-life situations). Tangent and Normal.

3. Integrals Integration as inverse process of differentiation.Integration of a variety of functions by substitution, by partial fractions and by parts, only simple integrals of the type –

to be evaluated

Definite integrals as a limit of a sum. Fundamental Theorem of Calculus(without proof). Basic propertiesofdefinite integrals andevaluationofdefinite integrals.

4. Applications of the Integrals

Applications in finding the area under simple curves, especially lines, arcs of circles/parabolas/ellipses(in standard formonly), area between the two above said curves(the region should be cleraly identifiable). 

5. Differential Equations

Definition,order and degree, general andparticularsolutions of a differential equation.Formationof differential equationwhose generalsolution is given.Solution of differential equations by method of separation of variables, homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type – 

UNIT IV: VECTORS AND THREE-DIMENSIONAL GEOMETRY

1. Vectors

Vectors and scalars,magnitude and direction of a vector. Direction cosines/ratios of vectors.Types of vectors(equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Scalar(dot) product of vectors, projection of a vector on a line.Vector(cross) product of vectors,scalartriple product.

2. Three-dimensional Geometry

Direction cosines/ratios of a line joiningtwo points.Cartesian andvector equation of a line, coplanar and skewlines,shortest distance between two lines.Cartesian and vector equation of a plane.Angle between (i)two lines,(ii)two planes,(iii) a line and a plane.Distance of a pointfroma plane.

Unit V:Linear Programming

Introduction,relatedterminologysuchas constraints,objective function,optimization,differenttypes oflinearprogramming(L.P.) problems, mathematical formulation of L.P.problems,graphicalmethod of solution for problems in two variables, feasible and infeasible regions, feasible and in feasible solutions,optimal feasible solutions(uptothreenon-trivial constrains).

Unit VI:Probability 

Multiplications theorem on probability. Conditional probability, independent events, total probability, Baye’s theorem.Random variable and its probability distribution,mean and variance of haphazard variable.Repeated independent (Bernoulli )trials and Binomial distribution

CUET Mathematics Syllabus (Section B2: Applied Mathematics)

Unit I: Numbers, Quantification and Numerical Applications

A. Modulo Arithmetic 

• Define modulus of an integer
• Apply arithmetic operations using modular arithmetic rules

B. Congruence Modulo

• Define congruence modulo
• Apply the definition in various problems

C. Allegation and Mixture

• Understand the rule of allegation to produce a mixture at a given price
• Determine the mean price of a mixture
• Apply rule of allegation

D. Numerical Problems 

• Solve real life problems mathematically
• CUET Mathematics/Applied Mathematics

E. Boats and Streams

• Distinguish between upstream and downstream
• Express the problem in the form of an equation

F. Pipes and Cisterns

• Determine the time taken by two or more pipes to fill or

G. Races and Games 

• Compare the performance of two players w.r.t. time,
• distance taken/distance covered/ Work done from the given data

H. Partnership

• Differentiate between active partner and sleeping partner
• Determine the gain or loss tobe divided among the partners in the ratio of their investment with due consideration of the time volume/surface area for solid formed using two or more shapes

I. Numerical Inequalities

• Describe the basic concepts of numerical inequalities
• Understand and write numerical inequalities

UNIT II: ALGEBRA

A. Matrices and types of matrices

• Define matrix
• Identify different kinds of matrices

B. Equality of matrices, Transpose of matrix, Symmetric and Skew symmetric matrix 

• Determine equality of two matrices
• Write transpose of given matrix
• Define symmetric and skewsymmetric matrix

UNIT III: CALCULUS

A. Higher Order Derivatives

• Determine second and higher order derivatives
• Understand differentiation of parametric functions and implicit functions Identify dependent and independent variables

B. Marginal Cost and Marginal Revenue using derivatives  

• Define marginal cost and marginal revenue
• Find marginal cost and marginal revenue

C. Maxima and Minima

• Determine critical points of the function
• Find the point(s) of local maxima and local minima and corresponding local maximum and local minimum values
• Find the absolute maximum and absolute minimum value of a function

UNIT IV: PROBABILITY DISTRIBUTIONS

A. Probability Distribution  

• Understand the concept ofRandom Variables and its Probability Distributions
• Find probability distribution of discrete random variable

B. Mathematical Expectation  

• Apply arithmetic mean of frequency distribution to find the expected value of a random variable

C. Variance  

• Calculate the Variance and S.D.of a random variable

UNIT V: INDEX NUMBERS AND TIME BASED DATA 

A. Index Numbers  

• Define Index numbers as a special type of average

B. Construction ofIndex numbers

Construct different type of index numbers

C. Test of Adequacy of Index Numbers

• Apply time reversal test

Download CUET Mathematics Syllabus Complete PDF

CUET Maths Syllabus Covered Books

To excel in the CUET Maths Exam, it’s a good idea to complement your standard textbooks with some reliable reference books. Based on recommendations from CUET2025.Com faculty, here’s a list of helpful resources:

• Class 12th Mathematics NCERT – A must-read for a strong foundation and conceptual clarity.
• Differential Calculus for Beginners by Arihant – Ideal for understanding the basics of differential calculus.
• Integral Calculus for Beginners by Arihant – A great resource to master the fundamentals of integral calculus.
• Mathematics for Class 12 (Set of 2 Volumes) by RD Sharma – Comprehensive material covering a wide range of problems and solutions.
• NCERT Exemplar Mathematics Class 12 by Arihant – Perfect for practicing advanced-level questions and sharpening problem-solving skills.

CUET Section/Domain Wise Syllabus PDF
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Anthropology	CUET Anthropology Syllabus PDF
Biology/Biochemistry/Biotechnology	CUET Biology Syllabus PDF
Business Studies	CUET Business Studies Syllabus PDF
Chemistry	CUET Chemistry Syllabus PDF
Computer Science/Information Practices	CUET Computer Science Syllabus PDF
Economics/Business Economics	CUET Economics Syllabus PDF
Environmental Science	CUET Environmental Syllabus PDF
Fine Arts	CUET Fine Arts Syllabus PDF
Geography/Geology	CUET Geography Syllabus PDF
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Performing Arts	CUET Performing Arts Syllabus PDF
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