CUET Mathematics Syllabus 2026: Check Section Wise Topics, Weightage, Books

CUET Mathematics Syllabus: Section-wise

CUET Syllabus for Mathematics includes 3 sections, such as:

• Section A1: This section includes topics like Algebra, Calculus, Integration and its Applications, Differential Equations, Probability Distributions, and Linear Programming.
• Section B1: This section includes topics like Relations and Functions, Algebra, Calculus, Integrals, Applications of Integrals, Differential Equations, Vectors, and 3D Geometry.
• Section B2: This section includes 8 units named Numbers, Quantification and Numerical Applications, Algebra, Calculus, Probability Distributions, Index Numbers and Time-Based data, Inferential Statistics, Financial Mathematics, and Linear Programming.

“Candidates must attempt questions from either Section B1 or B2, based on their chosen domain.”

CUET Mathematics Syllabus: Section A1

CUET Mathematics Syllabus: 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 and proof of the uniqueness of inverse, if it exists; (Here, all matrices will have real entries).
• Determinants: Determinant of a square matrix (up to 3 × 3 matrices), minors, cofactors, 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 a system of linear equations by examples, solving a 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−1 x, cos−1 x, and tan−1 x, derivatives of implicit functions. Concepts of exponential, logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, the 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 is the 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 the method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equations of the type:
  • dy/dx + Py = Q, where P and Q are functions of x or constants
  • dx/dy + Px = Q, where P and Q are functions of y or constants

UNIT IV: VECTORS AND THREE-DIMENSIONAL GEOMETRY

• Vectors: Vectors and scalars, the 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, and 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, Multiplication theorem on probability, independent events, total probability, Bayes’ theorem. Random variable.

CUET Mathematics Syllabus: Section B2 (Applied Mathematics)

Unit I: Numbers, Quantification, and Numerical Applications

Modulo Arithmetic

• Define the 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 the 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

H. 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 the equality of two matrices
• Write the transpose of given matrix
• Define a symmetric and skew-symmetric matrix

Algebra of Matrices

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

Determinant of Matrices

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

Inverse of a Matrix

• Define the inverse of a square matrix
• Apply the properties of the inverse of matrices
• Inverse of a matrix using: a) cofactors

  If A and B are invertible square matrices of the same size,

  i) (AB)-1=B-1 A-1

  ii) (A-1)-1 =A

  iii) (AT) -1 = (A-1) T

F. Solving system of simultaneous equations (up to 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 the tangent and normal to a curve at a given point
• Write the equations of tangents and normals 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-derivatives

Indefinite integrals as a family of curves

• Evaluate indefinite integrals of simple algebraic functions by the methods of

  (i) substitution

  (ii) partial fraction

  (iii) by parts

Definite Integral as area under the curve

• Define the definite integral as the area under the curve
• Understand the 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 the differential equation
• Solve a simple differential equation

Application of Differential Equations

• Define the 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 their Probability Distributions
• Find the probability distribution of a discrete random variable

Mathematical Expectation

• Apply the arithmetic mean of the 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 the Binomial Distribution
• Evaluate Mean, Variance, and S.D. of a Binomial Distribution

Poisson Distribution

• Understand the conditions of the Poisson Distribution
• Evaluate the Mean and Variance of the Poisson distribution

Normal Distribution

• Understand that a normal distribution is a continuous distribution
• Evaluate the value of the 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 a 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 trends 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
• Differentiate between a representative and a non-representative sample
• Draw a representative sample using simple random sampling
• Draw a representative sample using systematic random sampling

Parameter and Statistics, and Statistical Interferences

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

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

• Define a hypothesis
• Differentiate between the Null and alternative hypotheses
• Define and calculate the degree of freedom
• Test the Null hypothesis and make inferences using the t-test statistic for one group/two independent groups

UNIT VII: FINANCIAL MATHEMATICS

Perpetuity, Sinking Funds

• Explain the concept of perpetuity and sinking fund
• Calculate perpetuity
• Differentiate between a sinking fund and a savings account

  B. 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 the rate of return and the 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

E. Linear method of Depreciation

• Define the concept of the linear method of Depreciation
• Interpret the cost, residual value, and useful life of an asset from the given information
• Calculate depreciation

UNIT VIII: LINEAR PROGRAMMING

Introduction and related terminology

• Familiarize yourself with terms related to the 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 to 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 an optimal feasible solution
   

Ques. What is CUET Maths syllabus for Commerce students?

Ques. What is the CUET core Maths Syllabus 2026?

Ques. How many sections are there in CUET Mathematics syllabus?