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CUET Maths Syllabus 2025: Download CUET UG Mathematics Syllabus PDF

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Last Updated on March 10, 2025

The CUET 2025 Mathematics syllabus is important for students preparing for the UG entrance exam. It covers topics like Algebra, Calculus, Probability, and Linear Programming. To score well, focus on concepts, practice previous papers, and use the best books for CUET Mathematics. Understanding the CUET UG Mathematics syllabus helps in structured preparation. Well designed study plans and regular revision are key to success. Download the latest syllabus and study materials to ensure effective CUET Mathematics preparation for the upcoming exam.

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CUET Maths Syllabus 2025 Important Topics

The CUET (UG) mathematics syllabus comprises below mentioned topics. These are the key topics that are essential for preparation to qualify the exam with high grades. Make sure to refer to the CUET books for these important topics.

  1. Algebra
  1. Calculus
  1. Probability & Statistics
  1. Linear Programming
  • Formulation of linear programming problems
  • Graphical solutions for two-variable problems
  1. Financial Mathematics
  • Calculation of EMI, returns, and depreciation
  • Compound Annual Growth Rate
  1. Time-Based Data & Statistics
  • Time series analysis
  • Population and sample concepts
  1. Miscellaneous Topics
  • Modulo arithmetic
  • Numerical problems (Boats & Streams, Pipes & Cisterns, Races & Games

Download: CUET Maths Syllabus 2025 PDF

Topic-Wise CUET Maths 2025 Syllabus

Get here the list of all the topics and units included in the CUET Maths syllabus 2025. Scroll down to check the unit-wise topics and more:

Section A1

1. Algebra

(i) Matrices and types of Matrices

(ii) Equality of Matrices, Transpose of a Matrix, Symmetric and Skew Symmetric Matrix

(iii) Algebra of Matrices

(iv) Determinants

(v) Inverse of a Matrix

(vi) Solving of simultaneous equations using Matrix Method

2. Calculus

(i) Higher order derivatives (second order)

(ii) Increasing and Decreasing Functions

(iii) Maxima and Minima

3. Integration and its Applications

(i) Indefinite integrals of simple functions

(ii) Evaluation of indefinite integrals

(iii) Definite Integrals

(iv) Application of Integration as area under the curve (simple curve)

4. Differential Equations

(i) Order and degree of differential equations

(ii) Solving of differential equations with variable separable

5. Probability Distributions

(i) Random variable

6. Linear Programming

(i) Graphical method of solution for problems in two variables

(ii) Feasible and infeasible regions

(iii) Optimal feasible solution

Section B1: Mathematics

Unit I: Relations And Functions

Relations and Functions: Types of relations: Reflexive, symmetric, transitive, and equivalence relations. One-to-one and onto functions. Inverse Trigonometric Functions: Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions.

Unit II: Algebra

Matrices: Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operations on Matrices: Addition, multiplication, and multiplication with a scalar. 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 (restrict to square matrices of order 2). Invertible Matrices: Proof of the uniqueness of inverse, if it exists. (All matrices will have real entries). Determinants: Determinant of a square matrix (up to 3Γ—3 matrices), minors, co-factors, and applications of determinants in finding the area of a triangle. Adjoint and Inverse of a Square Matrix. System of Linear Equations: Consistency, inconsistency, and number of solutions of system of linear equations by examples. Solving system of linear equations in two or three variables (having a unique solution) using the inverse of a matrix.

Unit III: Calculus

Continuity and Differentiability: Continuity and differentiability, chain rule, derivatives of inverse trigonometric functions, like sin⁻¹x, cos⁻¹x, and tan⁻¹x, derivative of implicit functions. Exponential and Logarithmic Functions: Concepts of exponential, logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second-Order Derivatives. Applications of Derivatives: Rate of change of quantities, increasing/decreasing functions, 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). Integrals: Integration as an inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions, and by parts. Evaluation of Simple Integrals: Including various standard forms and problems based on them.

\(\begin{gathered} \int \frac{d x}{x^2+a^2}, \int \frac{d x}{\sqrt{x^2 \pm a^2}}, \int \frac{d x}{a^2-x^2}, \int \frac{d x}{\sqrt{a^2-x^2}}, \int \frac{d x}{a x^2+b x+c}, \int \frac{d x}{\sqrt{a x^2+b x+c}}, \\ \int \frac{(p x+q) d x}{a x^2+b x+c}, \quad \int \frac{(p x+q) d x}{\sqrt{a x^2+b x+c}}, \int \sqrt{a^2 \pm x^2} d x, \int \sqrt{x^2-a^2} d x \end{gathered} \)

  • 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, circles/parabolas/ellipses(in standard form only).
  • Differential Equations:
  • Definition, order and degree, general and particular solutions of a differential equation.
  • Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree.
  • Solutions of linear differential equation of the type:

CUET Maths Syllabus

Unit IV

Vectors and Three Dimensional Geometry

Vectors: Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. 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. Definition, Geometrical interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors. Three-dimensional Geometry: Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines.

Unit V

Linear Programming

Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

Unit VI

Probability

Conditional probability, Multiplications theorem on probability, independent events, total probability, Baye’s theorem. Random variable.

Section B2: Applied Mathematics

Unit

Topic

Subtopics

Unit I: Numbers, Quantification and Numerical Applications

Modulo Arithmetic

Define Modulus of an Integer, Apply Arithmetic Operations using Modular Arithmetic Rules

Congruence Modulo

Define Congruence Modulo, Apply the definition in various problems

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

Numerical Problems

Solve real-life problems mathematically

Boats and Streams

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

Pipes and Cisterns

Determine the time taken by two or more pipes to fill or empty the tank

Races and Games

Compare the performance of two players w.r.t. time

Numerical Inequalities

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

Unit II: Algebra

Matrices and Types of Matrices

Define matrix, Identify different kinds of matrices

Equality of Matrices, Transpose of a Matrix, Symmetric and Skew Symmetric Matrix

Determine equality of two matrices, Write transpose of a given matrix, Define symmetric and skew symmetric matrix

Algebra of Matrices

Perform operations like addition & subtraction on matrices of same order, Perform multiplication of two matrices of appropriate order, Perform multiplication of a scalar with a matrix

Determinant of Matrices

Find determinant of a square matrix, Use elementary properties of determinants, Singular matrix, Non-singular matrix,

Inverse of a Matrix

Define the inverse of a square matrix, Apply properties of inverse of matrices, Inverse of a matrix using cofactors

If A and B are invertible square matrices of the same size: (AB)⁻¹ = B⁻¹A⁻¹, (A⁻¹)⁻¹ = A, (Aα΅€)⁻¹ = (A⁻¹)α΅€

Solving system of simultaneous equations (upto three variables only (non-homogeneous equations))

Unit III: Calculus

Higher Order Derivatives

Determine second and higher-order derivatives, Understand the differentiation of parametric functions and implicit functions

Application of Derivatives

Determine the rate of change of various quantities, Understand the gradient of tangent and normal to a curve at a given point, Write the equations of tangents and normal to a curve at a given point

Marginal Cost and Marginal Revenue using Derivatives

Define marginal cost and marginal revenue, Find marginal cost and marginal revenue

Increasing/Decreasing Functions

Determine whether a function is increasing or decreasing, Determine the conditions for a function to be increasing or decreasing

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, Solve applied problems

Integration

Understand and determine indefinite integrals of simple functions as anti-derivative, Indefinite integrals as family of curves

Evaluation of Indefinite Integrals

Solve indefinite integrals using methods of Substitution, Partial Fraction, By Parts

Definite Integral as Area Under the Curve

Define definite integral as area under the curve, Understand fundamental theorem of integral calculus and apply it to evaluate the definite integral, Apply properties of definite integrals to solve problems

Application of Integration

Identify the region representing C.S. and P.S. graphically, Apply the definite integral to find consumer surplus-producer surplus

Differential Equations

Recognize a differential equation, Find the order and degree of a differential equation, Formulating and solving differential equations

Application of Differential Equations

Define growth and decay model, Apply the differential equations to solve growth and decay models

Unit IV: Probability Distributions

Probability Distribution

Understand the concept of Random Variables and its Probability Distributions, Find probability distribution of discrete random variable

Mathematical Expectation

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

Variance

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

Binomial Distribution

Identify the Bernoulli Trials and apply Binomial Distribution, Evaluate Mean, Variance and S.D. of a Binomial Distribution

Poisson Distribution

Understand the conditions of Poisson Distribution, Evaluate the Mean and Variance of Poisson Distribution

Normal Distribution

Understand normal distribution as a continuous distribution, Evaluate value of Standard normal variate, Area relationship between Mean and Standard Deviation

Unit V: Index Numbers and Time-Based Data

Time Series

Identify time series as chronological data

Components of Time Series

Distinguish between different components of time series

Time Series Analysis for Univariate Data

Solve practical problems based on statistical data and interpret, Understand the long-term tendency

Methods of Measuring Trend

Demonstrate the techniques of finding trend by different methods

Unit VI: Inferential Statistics

Population and Sample

Define Population and Sample, Differentiate between population and sample, Define a representative sample from a population, Draw a representative sample using simple and systematic random sampling

Parameter and Statistics and Statistical Inferences

Define Parameter with reference to Population, Define Statistics with reference to Sample, Explain the relation between Parameter and Statistic, Explain limitations of Statistic, Interpret Statistical Significance and Inferences, State Central Limit Theorem

t-Test (one sample t-test and two independent groups t-test)

Define a hypothesis, Differentiate between Null and Alternate hypothesis, Define and calculate degree of freedom, Test Null hypothesis and make inferences using t-test statistic

Unit VII: Financial Mathematics

Perpetuity, Sinking Funds

Explain and calculate perpetuity, Differentiate between sinking fund and saving account

Calculation of EMI

Explain the concept of EMI, Calculate EMI using various methods

Calculation of Returns, Nominal Rate of Return

Explain and calculate rate of return and nominal rate of return

Compound Annual Growth Rate

Understand and calculate Compound Annual Growth Rate, Differentiate between CAGR and Annual Growth Rate

Linear Method of Depreciation

Define, interpret and calculate depreciation using the linear method

Unit VIII: Linear Programming

Introduction and Related Terminology

Familiarize with terms related to Linear Programming Problem

Mathematical Formulation of Linear Programming Problem

Formulate Linear Programming Problem, Identify and formulate different types of LPP

Graphical Method of Solution for Problems in Two Variables

Draw the Graph for a system of linear inequalities involving two variables and find its solution graphically

Feasible and Infeasible Regions

Identify feasible, infeasible, and bounded regions, Understand feasible and infeasible solutions, Find optimal feasible solutions

CUET Maths 2025 Exam Pattern

An exam pattern for CUET (UG) Mathematics will help you understand the details properly. This will clear most of the doubts related to exam mode, question type, total number of questions, courses for which this CUET domain subject is applicable, etc.

Particulars

Details

Conducting Body

National Testing Agency (NTA)

Exam Mode

Computer-Based Test (CBT)

Exam Language Options

English, Hindi, Assamese, Bengali, Gujarati, Kannada, Malayalam, Marathi, Odia, Punjabi, Tamil, Telugu, and Urdu

Question Type

Multiple Choice Questions (MCQs)

Total Questions

50 (All compulsory)

Exam Duration

60 minutes

Maximum Marks

250

Negative Marking

Yes

Marking Scheme

+5 for each correct answer, -1 for each incorrect answer

Relevant Courses

B.Sc. Mathematics, B.Sc. Computer Science, Bachelor of Business Administration

How to Prepare CUET Maths 2025 Syllabus?

Follow these simple tips to prepare well for the CUET (UG) Maths exam:

  • Go through the syllabus properly and leave no topic untouched.
  • Make a study plan and follow the same till the exam day for constant revision and check on concepts.
  • Refer to proper books suggested for the subject, check below for CUET Maths books.
  • Mathematics is the subject of daily practice, thus keep the task ongoing till you sit for the final exam.
  • Work on time management to finish the questions in the allocated time.

Best Books for CUET Maths Syllabus

There are multiple textbooks available in the market to prepare for the CUET entrance exam for UG. But, you need to choose the right one for your exam preparation. Checkout the suggestions for CUET Maths books and refer for better learning:

Book

Publisher

Complete Mathematics

Lucent Publication

Shortcuts in Quantitative Aptitude for Competitive Exams

Disha Experts

Analytical Reasoning and Logical Reasoning

Arihant Publication

Test of Arithmetic

Arihant Publication

A Problem Book in Mathematical Analysis

G N Berman

Higher Algebra

Hall & Knight

Elementary Maths

DoroFeev Patapov

Problems in Calculus of One Variable

IA Maron

Mathematics NCERT Textbook For Class 12 

NCERT

CUET Maths Syllabus marking scheme

The marking scheme for mathematics will be the same as for other subjects.Each correct answer will get +5 and -1 will be given for each incorrect answer. Checkout CUET exam pattern and marking scheme 2025 for better understanding. To check the syllabus for other domain subjects, refer to CUET syllabus 2025.

There is a lot more that you can utilise as study resources and material from the Testbook App. Sign up and login for a new world of exam preparation and revision. It includes mock tests, previous year papers, sample papers and more.

Latest CUET Updates

Last updated: March 10, 2025

-> Check out the CUET UG Answer Key 2025.

-> The CUET 2025 Postponed for 15 Exam Cities Centres.

-> The CUET 2025 Exam Date was between May 13 to June 3, 2025. 

-> 12th passed students can appear for the CUET UG exam to get admission to UG courses at various colleges and universities.

-> Prepare Using the Latest CUET UG Mock Test Series.

-> Candidates can check the CUET Previous Year Papers, which helps to understand the difficulty level of the exam and experience the same.

CUET Maths Syllabus 2025 FAQs

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