Candidates preparing for CUET Mathematics/ Applied Mathematics 2027 exam must check this article to learn about the CUET Mathematics Syllabus, exam pattern, important chapters, previous years' papers, and preparation books.

NTA releases the CUET Mathematics Syllabus on its official website. Candidates preparing for the CUET for UG admissions must thoroughly familiarize themselves with the CUET syllabus. Mathematics/Applied Mathematics is one of the top three CUET domain subjects. Students from the Science and Commerce streams usually prefer Mathematics as their opted subject, due to its relevance in admission. National Testing Agency will conduct the Mathematics exam through CUET 2027 in May/June 2027, in Computer Based Test mode. The official CUET Mathematics syllabus 2027 will be released by NTA on its official website.

CUET Mathematics Syllabus PDF Download

Students preparing for mathematics can downlaod the CUET Mathematics syllabus PDF from the direct link given below.

Download CUET Mathematics Syllabus PDF

CUET Mathematics Syllabus PDF

CUET Mathematics/ Applied Mathematics Syllabus 2027

Candidates can check the CUET 2027 syllabus for Mathematics/ Applied Mathematics from the table given below.

CUET Mathematics Syllabus: Unit-Wise
Section A1
Unit I: Algebra	Unit IV: Differential Equations
Unit II: Calculus	Unit V: Probability Distributions
Unit III: Integration and its Applications	Unit VI: Linear Programming
Section B1
Unit I: Relations And Functions	Unit IV: Vectors And Three Dimensional Geometry
Unit II: Algebra	Unit V: Linear Programming
Unit III: Calculus	Unit VI: Probability
Section B2: Applied Mathematics
Unit I: Numbers, Quantification and Numerical Applications	UNIT V: Index Numbers and Time Based Data
UNIT II: Algebra	UNIT VI: Infrential Statistics
UNIT III: Calculus	UNIT VII: Financial Mathematics
UNIT IV: Probability Distributions	UNIT VIII: Linear Programming

CUET Maths Syllabus 2027: Section A1

Refer to this table for CUET 2027 maths syllabus for Section A1.

Units
Unit I: Algebra Matrices and types of Matrices Equality of Matrices, transpose of a Matrix, Symmetric and Skew Symmetric Matrix Algebra of Matrices Determinants Inverse of a Matrix Solving of simultaneous equations using Matrix Method	Unit IV: Differential Equations Order and Degree of Differential Equations Solving of Differential Equations with Variable Separable
Unit II: Calculus Higher Order Derivatives (upto second order) Increasing and Decreasing Functions Maxima and Minima	Unit V: Probability Distributions Simple Probability
Unit III: Integration and its Applications Indefinite Integrals of Simple Functions Evaluation of Indefinite Integrals Definite Integrals Application of Integration as area under the curve (simple curve)	Unit VI: Linear Programming Graphical Method of Solution for Problems in Two Variables Feasible and Infeasible Regions . Optimal Feasible Solution

CUET Maths Syllabus 2027: Section B1 (Mathematics)

Check detailed syllabus for Section B1 of CUET Mathematics 2027 here.

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 isthe zero matrix (restrict to square matrices of order 2).
• Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).

Determinants:

• Determinant of a square matrix (upto 3×3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle.
• Adjoint and inverse of a square matrix.
• Consistency, inconsistency 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

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.
• 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 provable tool).
• Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).

Integrals:

• Integration as inverse process of differentiation.
• Integration of a variety of functions by substitution, by partial fractions and by parts,
• Evaluation of simple integrals of the following types and problems based on them:

• 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:

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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 ofvectors

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

Also Read: CUET Maths Important Topics & Chapter Wise Weightage

CUET Maths Syllabus 2027: Section B2 (Applied Mathematics)

Get detailed topic-wise mathematics syllabus for Section B2 of CUET. The section B2 includes topics related to applied mathematics.

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, distance

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 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 matrix

Determinant of Matrices

• Determinant of a square matrix
• Use elementary properties of determinants
• Singular matrix, Non-singular matrix
• |AB|=|A||B|
• Simple problems to find determinant value

Inverse of a Matrix

• Define the inverse of a square matrix
• Apply properties of inverse of matrices
• Inverse of a matrix using: a) cofactors
  If A and B are invertible square matrices of same size
  • (AB)^-1 = B^-1A^-1
  • (A^-1)^-1 = A
  • (A^T)^-1 =  (A^-1)^T

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

UNIT III: Calculus

Higher Order Derivatives

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

Application of Derivatives

• Determine the rate of change of various quantities

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

Evaluate indefinite integrals of simple algebraic functions by methods of

• Substitution
• Partial Fraction
• By Parts

Definite Integral as area under the curve

• Define definite integral as area under the curve (non-trigonometric function)
• 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

• Formulate differential equations
• Verify the solution of differential equation
• Solve simple differential equation

Check Out: CUET UG Total Marks

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 is a continuous distribution
• Evaluate value of Standard normal variate
• Area relationship between Mean and Standard Deviation

UNIT V: 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

Secular Trend

• Understand the long term tendency

Methods of Measuring trend

• Demonstrate the techniques of finding trend by different methods

UNIT VI: Inefrential Statistics

Population and Sample

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

Parameter and Statistics and Statistical Interferences

• Define Parameter with reference to Population
• Define Statistics with reference to Sample
• Explain the relation between Parameter and Statistic
• Explain the limitation of Statistic to generalize the estimation for population
• Interpret the concept of Statistical Significance and Statistical Inferences
• Central Limit Theorem
• Explain the relation between Population-Sampling Distribution-Sample

t-Test (one sample t-test for a small group sample)

• 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 for one group

UNIT VII: Financial Mathematics

Perpetuity, Sinking Funds

• Explain the concept of perpetuity and sinking fund
• 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 the concept of rate of return and nominal rate of return
• Calculate rate of return and nominal rate of return

Compound Annual Growth Rate

• Understand the concept of Compound Annual Growth Rate
• Differentiate between Compound Annual Growth rate and Annual Growth Rate
• Calculate Compound Annual Growth Rate

Linear method of Depreciation

• Concept of linear method of Depreciation
• Interpret cost, residual value and useful life of an asset from the given information
• Depreciation

Valuation of Bonds

• Concept of bond and related terms
• Value of bond using present value approach

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

Different types of Linear Programming Problems

• 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

Feasible and infeasible solutions, optimal feasible solution

• Understand feasible and infeasible solutions
• Find optimal feasible solutions

Also Download:

CUET Mathematics Question Paper

CUET Commerce Previous Year Question Paper

Best Books for CUET Mathematics Preparation 2027

Refer to the following books to attain a good CUET score in the CUET mathematics exam.

• NCERT Class 12 Mathematics Textbook (Majority of the exam is NCERT based)
• A Text Book of Mathematics Class 12 by Pradeep
• CUET Mathematics by Arihant Experts
• Mathematics for Competitive Exams by R.S. Aggarwal
• CUET Guide for Mathematics by Oswaal

CUET Mathematics Exam Pattern

Refer to the table below to know the key details related to CUET Mathematics Exam Pattern:

Particulars	Details
Language of exam	13 languages - English, Hindi, Assamese, Bengali, Gujarati, Kannada, Malayalam, Marathi, Odia, Punjabi, Tamil, Telugu, and Urdu
Type of questions	Multiple Choice Questions (MCQs)
Total number of Questions	50 questions (all compulsory)
Duration of Exam	60 minutes
Maximum Marks	250 per subject
Negative marking	Yes
Marking Scheme	+5 for each correct answer -1 for each incorrect answer
CUET Mathematics Mapping for Courses	B.Sc. Mathematics B.Sc. Computer Science Bachelor of Business Administration

Also Read:

Is Maths Compulsory for BBA in CUET?

How to Prepare for CUET in 3 Months?

CUET Subject List: Syllabus and Question Paper

Download the CUET Question Paper and syllabus for Sections I, II, & III from the table below:

Subjects	CUET Syllabus	CUET Question Paper
Section - I (Language)
English	CUET English Syllabus	CUET English Question Paper
Section - II (Domain Subjects)
Biology	CUET Biology Syllabus	CUET Biology Question Paper
Accountancy/ Book Keeping	CUET Accountancy Syllabus	CUET Accountancy Question Paper
Business Studies	CUET Business Studies Syllabus	CUET Business Studies Question Paper
Chemistry	CUET Chemistry Syllabus	CUET Chemistry Question Paper
Computer Science/ Informatics Practices	CUET Computer Science Syllabus	CUET Computer Science Question Paper
Economics/ Business Economics	CUET Economics Syllabus	CUET Economics Question Paper
Geography/Geology	CUET Geography Syllabus	CUET Geography Question Paper
Home Science	CUET Home Science Syllabus	CUET Home Science Question Paper
Knowledge Tradition and Practices of India	CUET Knowledge Tradition and Practices of India Syllabus	CUET Knowledge Tradition and Practices of India Question Paper
Environmental Science	CUET Environmental Science Syllabus	CUET Environmental Science Question Paper
Mathematics	CUET Mathematics Syllabus	CUET Mathematics Question Paper
Physical Education/ NCC /Yoga	CUET Physical Education Syllabus	CUET Physical Education Paper
Physics	CUET Physics Syllabus	CUET Physics Question Paper
Political Science	CUET Political Science Syllabus	CUET Political Science Question Paper
Psychology	CUET Psychology Syllabus	CUET Psychology Question Paper
Sociology	CUET Sociology Syllabus	CUET Sociology Question Paper
Agriculture	CUET Agriculture Syllabus	CUET Agriculture Question Paper
Mass Media/ Mass Communication	CUET Mass Media/ Mass Communication Syllabus	CUET Mass Media/ Mass Communication Question Paper
Anthropology	CUET Anthropology Syllabus	CUET Anthropology Question Paper
Fine Arts/ Visual Arts (Sculpture/ Painting)/Commercial Arts	CUET Fine Arts Syllabus	CUET Fine Arts Question Paper
Performing Arts	CUET Performing Arts Syllabus	CUET Performing Arts Question Paper
Sanskrit	CUET Sanskrit Syllabus	CUET Sanskrit Question Paper
History	CUET History Syllabus	CUET History Question Paper
Section - III (General Test)
General Test	CUET General Test Syllabus	CUET General Test Question Paper

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