CUET 2025 math syllabus | Techniques, advice, and methods for CUET math preparation

Math curriculum for CUET 2025: The Common University Entrance Test (CUET) is a centralized admission examination. It provides every prospective student in the nation with an equal and shared chance to secure a spot in their preferred UG course at the most esteemed universities and colleges in the nation. The NTA will administer the test in CBT format, with multiple-choice questions.

Students who want to major in math in their undergraduate program should carefully review the CUET math syllabus and get ready for the exam. The CUET scores of the applicants will be the basis for all UG admissions at the 200+ participating universities. It is critical that you prepare thoroughly and receive excellent results on the CUET exam. Examine the CUET math syllabus for 2023 and make an appropriate study plan to guarantee a spot in the college or university of your choice.

This post will provide you with a thorough CUET math syllabus and advice on how to get ready for the exam. Read the article through to the end to obtain all the information you require regarding the test and start your preparation in a comprehensive manner.

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A few crucial CUET 2025 details are as follows:

  • For UG admissions, CUET 2025 will serve as a gateway to more than 200 universities (47 central).
  • There will be thirteen different languages available as the instruction medium in CUET.
  • The test will be administered online over the course of two shifts (morning and afternoon), using computer-based testing (CBT) technology.

NTA received 15 lakhs (approximately) applications for CUET 2023. Based on the excitement surrounding it, CUET 2025 is sure to surpass the results. Students apply to the test from all over the nation, so there will likely be fierce competition. The students won't have an extremely difficult time of it. The quick CUET math syllabus should be reviewed by the students to obtain a proper understanding and ramp up their preparation for the exam at the earliest. Download the pdf containing the complete CUET syllabus for all the domain subjects, below. (LINK)

The CUET mathematics syllabus

The comprehensive CUET math syllabus is available on the National Testing Agency's (NTA) official website. Here, the same has been covered in great detail. The mathematics curriculum is quite extensive and is broken up into two condensed sections. Since both sections are equally significant, they ought to be studied thoroughly. See the table below for the specific section and unit-by-unit math syllabus for the CUET and learn how to get ready for math.

Mathematics Book-1

Mathematics Book-2
  1. Relations and Functions
  2. Inverse Trigonometric Functions
  3. Matrices
  4. Determinants
  5. Continuity and Differentiability
  6. Application of Derivatives
  1. Integrals
  2. Application of Integrals
  3. Differential Equations
  4. Vector Algebra
  5. Three-Dimensional Geometry
  6. Linear Programming
  7. Probability

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The detailed mathematics syllabus for CUET is discussed in the dropdowns below:

Chapter Name

Sub-Topics

Chapter 1 Relations and Functions

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

Chapter 2 Inverse Trigonometric Functions

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

Chapter 3 Matrices

Concept, notation, order, equality, types of matrices, zero matrices, transpose of a matrix, symmetric and skew-symmetric matrices.

Chapter 4 Determinants

Determinants of a square matrix (upto3×3matrices), properties of determinants, minors, cofactors, and applications of determinants in finding the area of a triangle.

Chapter 5 Continuity and Differentiability

Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit function.

Chapter 6 Application of Derivatives

Applications of derivatives: Rate of change, increasing/ decreasing functions, tangents and normal , approximation, maxima, and minimal (first derivative test motivated geometrically and second derivative test given as a provable tool).

Chapter 1 Integrals

Integration is the 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.

Chapter 2 Application of Integrals

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

Chapter 3 Differential Equation

Definition, order, and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables, homogeneous differential equations of first order and first degree.

Chapter 4 Vector Algebra

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.

Chapter 5 Three-Dimensional Geometry

Direction cosines/ratios of a line joining two points. Cartesian and vector equation of a line, coplanar and skew lines, the shortest distance between two lines. Cartesian and vector equation of a plane.

Chapter 6 Linear Programming

Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions.

Chapter 7 Probability

Multiplications are the oremon’s 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.

 

UNIT

CHAPTER

SUB-UNIT

RELATIONS AND FUNCTIONS

Relations and

functions

Types of relations: Reflexive, symmetric, transitive and equivalence relations. One-to-one and onto functions, composite functions, the 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.

ALGEBRA

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 matrices and proof of the uniqueness of

inverse, if it exists; (Here all matrices will have real

entries).

Determinants

Determinants of a square matrix (upto 3×3 matrices), properties of determinants, minors, co-factors, and applications of determinants in finding the area of a

triangle. Adjoint and inverse of a square matrix.

Consistency, inconsistency, and a number of solutions

of a system of linear equations by examples, solving

systems of linear equations in two or three variables

(having a unique solution) using the inverse of a matrix.

CALCULUS

Continuity and differentiability

Continuity and differentiability, a derivative of composite functions, chain rules, derivatives of inverse

Trigonometric functions, and derivatives of implicit

functions. Concepts of exponential, logarithmic functions. Derivatives of log x and ex. Logarithmic differentiation. Derivative of functions expressed in parametric

forms. Second-order derivatives. Rolle’s and

Lagrange’s Mean Value theorems (without proof) and

their geometric interpretations.

Applications of derivatives

Applications of derivatives: Rate of change, increasing/decreasing functions, tangents and normals, approximation, maxima, and minima (first derivative test motivated geometrically and second derivative test

given as a provable tool). Simple problems (that 

illustrate basic principles and understanding of the 

subject as well as real-life situations). Tangent and 

normal. 

Integrals

Integration as an inverse process of differentiation. Integration of a variety of functions by substitution,

partial fractions, and parts, only simple integrals of the

type – is to be evaluated.

Definite integrals as a limit of a sum. Fundamental

Theorem of calculus(without proof). Basic properties of definite integrals and evaluation of definite integrals.

Applications of the integrals

Applications in finding the area under simple curves, especially lines, arcs of circles/parabolas/ellipses (in standard form only), area between the two above said

curves (the region should be clearly identifiable).

Differential 

equations

Definition, order, and degree, general and particular

solutions of a differential equation. Formation of

differential equations whose general solution is given. Solution of differential equations by the method

of separation of variables, homogeneous differential equations of first order, and first degree.

VECTORS & THREE - DIMENSIONAL GEOMETRY

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, the 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, scalar triple product.

Three-dimensional Geometry

Direction cosines/ratios of a line joining two points. 

Cartesian and vector equation of a line, coplanar and 

skew lines, the shortest distance between two lines. Cartesian and vector equation of a plane. The angle 

between (i) two lines, (ii)two planes, and (iii) a line and a plane. Distance of a point from a plane.

LINEAR PROGRAMMING

Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems, mathematical formulation 

of L.P .problems, graphical method of solution for 

problems in two variables, feasible and infeasible 

regions, feasible and infeasible solutions, optimal 

feasible solutions (up to three non-trivial constraints).

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.

It is crucial that you have a suitable plan in place for how to prepare for mathematics on the CUET now that you are fully aware of the comprehensive CUET math syllabus and exam pattern.

But how can one study mathematics for the CUET in the most efficient way? This section of the article aims to alleviate your workload by outlining a customized study plan that will guarantee you ace the CUET and pass it.

How to get ready for the CUET math test

It is essential that you manage your time wisely and effectively when preparing. You must have a suitable plan and timeline on hand in order to make this wise and prudent time investment. Now, this article will help you by suggesting some tried and tested methods that are helpful in answering how to prepare mathematics for CUET.

The strategies and methods are discussed below:

     1 . An appropriate schedule

     A methodical and structured approach is essential for any type of planning. This can only be accomplished by creating an appropriate schedule that takes into account your time constraints and the length of the CUET math syllabus. The schedule needs to guarantee that you finish the entire syllabus on time and have enough time for practice and revision. You must adhere to your schedule with discipline and punctuality as soon as it is prepared.

     2. A solid understanding of the syllabus

Understanding the syllabus alone won't help you prepare for the CUET mathematics exam. To have a firm grasp, you must also recognize and rank the chapters according to their significance. You must acknowledge your advantages and disadvantages and put in effort. This will give you better clarity and smoothen your approach. At all costs, you need to ensure that your preparation remains syllabus specific and goal-oriented.

     3.Personalized CUET computer science readiness plan

What works better for one student may not work as well for another. Consequently, it is critical to create a study schedule that works best for each individual student. Every student should create a suitable schedule, plan how to prepare computer science for the CUET, and adhere to it to the best of their abilities based on their strengths and abilities. Here, consistency and dedication are essential.

     4.Go over the syllabus again and take practice exams.

Revision of the syllabus and going over the key chapters are essential for CUET success. Revision and practice with mock exams are more beneficial in the final two to three weeks before the exam. Through revision, we can make sure that no crucial information is lost on the students. Practicing with mock tests will fine-tune the exam-taking skills and provide the students with the necessary exposure.

It's never easy to say than to do. We covered the CUET math syllabus and detailed CUET math preparation in this article. It is now the individual students' responsibility to read it carefully and follow the methodical steps outlined in this article. Since CUET is a centralized exam, fierce competition is anticipated. It is best that you get started on your preparations as soon as possible and adhere closely to all instructions and steps. Start early to give yourself the best chance of attending prestigious colleges and universities across the nation.

It is anticipated that CUET will mark a significant turning point in Indian higher education history. Increase your readiness by getting started early and ace the test.

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