CUET 2025 Mathematics Syllabus: Key Topics, Exam Pattern & Best Books for Preparation

CUET 2025 Mathematics Syllabus: The National Testing Agency (NTA) conducts the Common University Entrance Test (CUET) once a year for admission to undergraduate courses in various universities/colleges across India. Candidates preparing for the CUET exam and selecting Mathematics/Applied Mathematics as one of the mapped domain subjects must know about the CUET UG 2025 syllabus in detail. NTA releases the CUET Mathematics syllabus 2025 on its official website – exam.nta.ac.in/CUET-UG/. As per the CUET 2025 exam pattern, Mathematics/Applied Mathematics is one of the 23 CUET domain subjects, and the question paper consists of 50 questions. Candidates are required to solve all the questions within 60 minutes in the CBT mode. Read this article to get the direct link to download the CUET Mathematics syllabus PDF.

CUET UG Mathematics/ Applied Mathematics Syllabus 2025

Candidates preparing for CUET UG 2025 can check the detailed CUET 2025 syllabus for Mathematics/Applied Mathematics from the table given below:

Section A

CUET Maths Syllabus 2025 

There are 2 sections in the CUET exam Maths syllabus: 

1. Section- A and Section B (Section B1 and Section- B2)
2. It will have a paper of 50 questions out of which you will have to attempt 40.
3. Section A will have 15 questions covering both Mathematics and Applied Mathematics, which is compulsory for all.

CUET Maths Syllabus: SECTION A 

Algebra 

1. Matrices and types of Matrices 
2. Equality of Matrices, transpose of a Matrix, Symmetric and Skew Symmetric Matrix 
3. Algebra of Matrices 
4. Determinants 
5. Inverse of a Matrix 
6. Solving of simultaneous equations using Matrix Method 

CUET Maths Syllabus: Calculus

1. Higher order derivatives 
2. Tangents and Normals 
3. Increasing and Decreasing Functions 
4. Maxima and Minima 

Integration and its Applications 

1. Indefinite integrals of simple functions 
2. Evaluation of indefinite integrals 
3. Definite Integrals 
4. Application of Integration as area under the curve 

Differential Equations 

1. Order and degree of differential equations 
2. Formulating and solving of differential equations with variable separable 

CUET Syllabus for Maths: Probability Distributions 

1. Random variables and its probability distribution 
2. Expected value of a random variable 
3. Variance and Standard Deviation of a random variable 
4. Binomial Distribution 

Linear Programming 

1. Mathematical formulation of Linear Programming Problem 
2. Graphical method of solution for problems in two variables 
3. Feasible and infeasible regions 
4. Optimal feasible solution 

CUET Maths Syllabus: Section B 

• Section B of the Mathematics syllabus of CUET has two sections: B1 and B2. Section B1 has 35 questions related to Mathematics, and the participant has to answer 25 of them. 
• Section B2 of the Applied section has 35 questions, out of which you have to answer 25.

Section B1: Mathematics 

UNIT I: RELATIONS AND FUNCTIONS 

• Relations and Functions: Types of relations: automorphic, symmetric, transitive and equivalence relations. One to one and associative functions, mixed functions, inverse of a function. Binary operations. 
• Inverse trigonometric functions: 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-zero matrices whose product is the zero matrix (restricted to square matrices of order 2). Concept of elementary row and column operations. Invertible matrix and proof of uniqueness of inverse, if it exists; (here all matrices will have real entries). 
2. Determinants: Determinant of a square matrix (up to 3 × 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of ​​a triangle. Adjoint and inverse of a square matrix. Compatibility, incompatibility and number of solutions of a system of linear equations by examples, Solving system of linear equations in two or three variables (having unique solution) using the inverse of a matrix.

CUET Maths Syllabus: UNIT III: CALCULUS 

1. Continuity and Differentiability: Continuity and differentiability, derivatives of mixed functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit function. Concepts of exponential, logarithmic functions. Derivatives of log x and ex. Logarithmic differentiation. Derivatives of functions expressed in parametric forms. Second-order derivatives. Rolle’s and Lagrange’s mean value theorems (without proof) and their geometrical interpretations.
2. Applications of derivatives: Applications of derivatives: rate of change, increasing/decreasing functions, tangents and normals, approximations, maxima and minima (first derivative test is geometrically motivated and second derivative test is given as a proven tool). Simple problems (which reflect the basic principles and understanding of the subject as well as real life situations). Tangents and normals.
3. Integration: Integration as the inverse process of differentiation. Integration of various types of functions by substitution, partial fractions and parts, simple integrals of the type to be evaluated only. Definite integral as limit of a sum. Fundamental theorem of calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.
4. Applications of integrals: Applications in finding the area under simple curves, especially lines, circles/parabolas/elliptical arcs (in standard form only), and the area between two curves as described above (area should be clearly identifiable).
5. Difference equations: Definition, order and degree, general and particular solutions of a difference equation. Formation of a difference equation whose general solution is given. Solution of difference equations by the method of separation of variables, homogeneous difference equations of first order and first degree. Solutions of a linear differential equation of the type dy + Py = Q , where P and Q are functions of x or constant dy dxdy + Px = Q , where P and Q are functions of y or constant 

CUET UG Maths Syllabus: 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 (point) product of vectors, projection of a vector on a line. Vector (cross) product of vectors, scalar triple product. 
2. Three-dimensional Geometry: Direction cosines/ratios of a line joining two points. Cartesian and vector equations of a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equations of a plane. Angle between (i) two lines, (ii) two planes, (iii) a line and a plane. Distance of a point from a plane.

CUET Maths Syllabus: Unit V: Linear Programming 

1. Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (LP) problems 
2. mathematical formulation of LP problems, graphical method of solution of problems in two variables
3. feasible and infeasible regions feasible and infeasible solutions, optimal feasible solution (up to three non-trivial constraints)

Unit VI: Probability 

Multiplication theorem on probability. Conditional probability, independent events, total probability, Baye's theorem. Random variable and its probability distribution, mean and variance of random variable. Repeated independent (Bernoulli) trials and binomial distribution.

CUET 2025 Mathematics Exam Pattern: Revised

Candidates can understand the CUET UG exam pattern for Mathematics from the table given below:

Best Books for CUET Mathematics Preparation

To score good CUET scores in the CUET UG exam, it is essential to prepare with the right study material. Below are some recommended best books for CUET Maths preparation. These books can help candidates understand the basic concepts and practice for the exam.

1. NCERT Class 12 Mathematics Textbook 
2. A Text Book of Mathematics Class 12 by Pradeep
3. Mathematics for Competitive Exams by R.S. Aggarwal
4. CUET Mathematics by Arihant Experts
5. CUET 2025 Guide for Mathematics by Oswaal
6. CUET Applied Mathematics by GKP