Delhi University Joint Admission Test Syllabus 2026

CUET UG 2024 Syllabus for Delhi University Admission

CUET UG 2024 exam is accepted for admission into Delhi University. The syllabus for BMS, BBA (Financial Investment Analysis), and BA (Hons) in Business Economics is said to be 50% similar to Class 12 level topics.

The syllabus for these courses includes language sections. Candidates must appear for the Mathematics/Applied Mathematics paper from the domain-specific subject list. The General Test paper is also necessary.

CUET UG 2024 Mathematics Syllabus Structure

The Mathematics syllabus is divided into three sections: Section A, B1, and B2. Section A is compulsory for all candidates.

• Section A: Includes topics from Algebra, Calculus, and related areas.
• Section B1: Includes Relations and Functions, Matrices and Determinants, Calculus, Vectors, and more.
• Section B2: Includes Index Numbers and Time Based Data, Linear Programming, and Financial Mathematics.

Language and General Test Papers

The Language and General Test papers are mandatory for all courses. Candidates must choose any one language from the Language groups (Section 1A and 1B).

The General Test syllabus includes General Knowledge, Current Affairs, General Mental Ability, Numerical Ability, Quantitative Reasoning, and Logical and Analytical Reasoning.

CUET UG 2024 Language 1A Subjects

There are 33 languages within language sections 1A and 1B. Candidates can choose at least one subject. The list of Language 1A topics is as follows:

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

CUET UG 2024 Language 1B Subjects

Language 1B has a list of 20 languages out of the total 33. The subjects are as follows:

• Arabic
• Bodo
• Chinese
• Dogri
• French
• German
• Italian
• Japanese
• Kashmiri
• Konkani
• Maithili
• Manipuri
• Nepali
• Persian
• Russian
• Santhali
• Sindhi
• Spanish
• Tibetan
• Sanskrit

CUET UG 2024 Mathematics Section A Syllabus

Section A covers core mathematical topics. The detailed topics are listed below.

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

Calculus

• Higher Order Derivatives
• Tangents and Normals
• Increasing and Decreasing Functions
• Maxima and Minima

Integration and its Applications

• Indefinite integrals of simple functions
• Evaluation of indefinite integral
• Definite Integrals
• Application of Integration as area under the curve

Differential Equations

• Order and degree of differential equations
• Formulating and solving of differential equations with variable separable

Probability Distributions

• Random variables and its probability distribution
• Expected value of a random variable
• Variance and Standard Deviation of a random variable
• Binomial Distribution

Linear Programming

• Mathematical formulation of Linear Programming Problem
• Graphical Method of solution for problems in two variables
• Feasible and infeasible regions
• Optimal feasible solution

Delhi University Joint Admission Test (DU JAT) Syllabus

The Delhi University Joint Admission Test (DU JAT) syllabus is divided into two main sections: Section B1 (Mathematics) and Section B2 (Applied Mathematics). Each section contains multiple units with specific topics.

Section B1 (Mathematics) Syllabus

Section B1 covers six units of pure mathematics. These units are Relations and Functions, Algebra, Calculus, Vectors and Three Dimensional Geometry, Linear Programming, and Probability.

Unit 1: Relations and Functions

This unit covers the basics of relations, functions, and inverse trigonometric functions.

• Relations and Functions: Types of relations (reflexive, symmetric, transitive, equivalence), one-to-one and onto functions, composite functions, inverse of a function, binary operations.
• Inverse Trigonometric Functions: Definition, range, domain, principal value branches, graphs, elementary properties.

Unit 2: Algebra

This unit covers matrices and determinants in detail.

• Matrices: Concept, notation, order, equality, types of matrices, zero matrix, transpose, symmetric and skew symmetric matrices. Addition, multiplication, scalar multiplication, non-commutativity, elementary row and column operations, invertible matrices, uniqueness of inverse (all matrices have real entries).
• Determinants: Determinant of a square matrix (up to 3 × 3), properties of determinants, minors, cofactors, area of a triangle, adjoint and inverse of a square matrix, consistency and inconsistency of systems of linear equations, solving systems in two or three variables using the inverse of a matrix.

Unit 3: Calculus

This unit covers continuity, differentiability, derivatives, integrals, and differential equations.

• Continuity and Differentiability: Derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions, exponential and logarithmic functions, derivatives of log x and ex, logarithmic differentiation, parametric forms, second-order derivatives, Rolle’s and Lagrange’s Mean Value Theorems (without proof).
• Applications of Derivatives: Rate of change, increasing/decreasing functions, tangents and normals, approximation, maxima and minima (first derivative test, second derivative test), simple problems and real-life situations.
• Integrals: Integration as inverse of differentiation, definite integrals as a limit of a sum, Fundamental Theorem of Calculus, basic properties of definite integrals.
• Application of the Integrals: Area under simple curves (lines, arcs of circles/parabolas/ellipses in standard form), area between two curves.
• Differential Equations: Definition, order and degree, general and particular solutions, formation of differential equations, solution by separation of variables, homogeneous differential equations of first order and first degree.

Unit 4: Vectors and Three Dimensional Geometry

This unit covers vector algebra and 3D geometry concepts.

• Vectors: Vectors and scalars, magnitude and direction, direction cosines/ratios, types of vectors (equal, unit, zero, parallel, collinear), position vector, components, addition, scalar multiplication, section formula, scalar (dot) product, projection, vector (cross) product, scalar triple product.
• 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, angles between two lines, two planes, and a line and a plane, distance of a point from a plane.

Unit 5: Linear Programming

This unit covers the basics of linear programming problems.

• Introduction, constraints, objective function, optimization, types of L.P. problems, mathematical formulation, graphical method for two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

Unit 6: Probability

This unit covers probability theorems and distributions.

• Multiplication Theorem on probability, conditional probability, independent events, total probability, Baye’s theorem, random variable and its probability distribution, mean and variance of a random variable, repeated independent (Bernoulli) trials, Binomial Distribution.

Section B2 (Applied Mathematics) Syllabus

Section B2 covers applied mathematics topics. The first unit is Numbers, Quantification, and Numerical Applications.

Unit 1: Numbers, Quantification, and Numerical Applications

This unit covers modular arithmetic and congruence modulo.

• 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.

Applied Mathematics Syllabus for CUET UG 2024

The Applied Mathematics syllabus for CUET UG 2024 is divided into eight units. Each unit covers specific topics and learning outcomes.

Unit 1: Number, Quantities and Applications

This unit covers the application of mathematical concepts to solve real-life problems. It includes topics like mixtures, motion, and work.

• Allegation and Mixture: Understand the rule of allegation to produce a mixture at a given price. Determine the mean price of a mixture and 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 a cistern.
• Races and Games: Compare the performance of two players with respect to time, distance taken, distance covered, or work done from the given data.
• Partnership: Differentiate between an active partner and a sleeping partner. Determine the gain or loss to be divided among partners in the ratio of their investment, considering the time volume or surface area for solids formed using two or more shapes.
• Numerical Inequalities: Describe the basic concepts of numerical inequalities. Understand and write numerical inequalities.

Unit 2: Algebra

This unit focuses on matrices and their properties. It includes defining matrices and performing operations on them.

• Matrices and Types of Matrices: Define a matrix and identify different kinds of matrices.
• Equality of Matrices, Transpose, Symmetric and Skew-Symmetric Matrices: Determine the equality of two matrices. Write the transpose of a given matrix. Define symmetric and skew-symmetric matrices.

Unit 3: Calculus

This unit covers advanced differentiation and its applications in economics and optimization. It includes finding higher-order derivatives and solving maxima and minima problems.

• Higher Order Derivatives: Determine second and higher-order derivatives. Understand differentiation of parametric and implicit functions. Identify dependent and independent variables.
• Marginal Cost and Marginal Revenue using Derivatives: Define marginal cost and marginal revenue. Find marginal cost and marginal revenue using derivatives.
• Maxima and Minima: Determine critical points of a function. Find the points of local maxima and local minima and their corresponding values. Find the absolute maximum and absolute minimum value of a function.

Unit 4: Probability Distributions

This unit introduces random variables and their probability distributions. It covers calculating expected value and variance.

• 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 a frequency distribution to find the expected value of a random variable.
• Variance: Calculate the variance and standard deviation (S.D.) of a random variable.

Unit 5: Index Numbers and Time Based Data

This unit deals with constructing and testing index numbers. It also covers the analysis of time series data.

• Index Numbers: Define index numbers as a special type of average.
• Construction of Index Numbers: Construct different types of index numbers.
• Test of Adequacy of Index Numbers: Apply the time reversal test.
• Time Series: Identify time series 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 the results.

Unit 6: Inferential Statistics

This unit covers the concepts of population, sample, and statistical inference. It explains the relationship between parameters and statistics.

• Population and Sample: Define population and sample. Differentiate between them. Define a representative sample from a population.
• Parameter and Statistics and Statistical Inferences: Define a parameter with reference to a population. Define statistics with reference to a sample. Explain the relation between a parameter and a statistic. Explain the limitation of statistics to generalize the estimation for a population. Interpret the concept of statistical significance and statistical inferences. State the Central Limit Theorem. Explain the relation between population, sampling distribution, and sample.

Unit 7: Financial Mathematics

This unit applies mathematical concepts to financial situations. It includes topics like bonds, EMIs, and depreciation.

• Perpetuity and Sinking Funds: Explain the concept of perpetuity and sinking fund. Calculate perpetuity. Differentiate between a sinking fund and a saving account.
• Valuation of Bonds: Define the concept of bond valuation and related terms. Calculate the value of a bond using the present value approach.
• Calculation of EMI: Explain the concept of EMI (Equated Monthly Installment). Calculate EMI using various methods.
• Linear Method of Depreciation: Define the concept of the linear method of depreciation. Interpret cost, residual value, and useful life of an asset from given information. Calculate depreciation.

Unit 8: Linear Programming

This unit introduces linear programming problems (LPP) and their solutions. It focuses on the graphical method for problems with two variables.

• Introduction and Related Terminology: Familiarise with terms related to a Linear Programming Problem.
• Mathematical Formulation of Linear Programming Problem: Formulate a 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 the optimal feasible solution.

CUET UG 2024 General Test Syllabus

The General Test syllabus for CUET UG 2024 is not detailed in the provided source material.

CUET UG 2024 General Test Syllabus

The General Test in CUET UG 2024 covers six main topics. The detailed syllabus for each topic is given below.

CUET UG 2024 Recommended Books

Previous years' examinees have reported Arihant and NCERT textbooks as adequate for CUET UG 2024 preparation. Books from these two publishers are considered best for conceptual learning.

CUET UG 2024 Exam Pattern

CUET UG 2024 will be conducted in hybrid mode, meaning both CBT and OMR sheet modes will be used.

• Medium: 13 (Assamese, Bengali, English, Gujarati, Hindi, Kannada, Malayalam, Marathi, Punjabi, Odia, Tamil, Telugu, and Urdu)
• Sections: Languages (Section 1A and 1B), Domain-Specific, General Test
• Questions Asked: Section 1A (50), Section 1B (50), Domain Specific (50), General Test (60)
• Questions to be Attempted: Section 1A (40), Section 1B (40), Domain Specific (40), General Test (50)

CUET UG 2024 Marking Scheme

The marking scheme for the CUET UG 2024 exam is as follows: