CUET (UG) Mathematics Syllabus 2026 PDF Download
Candidates must be familiar with the CUET (UG) Mathematics Syllabus to pursue further Mathematics education. Click here to access the CUET (UG) Mathematics Syllabus 2026 PDF.
CUET (UG) Mathematics Syllabus 2026
The CUET (UG) Mathematics Syllabus for the CUET (UG) 2026 is available by the National Testing Agency. The CUET (UG) Mathematics Syllabus is available for review from the link below. The CUET (UG) 2026 Mathematics syllabus defines and describes each unit covered on the CUET (UG) 2026 Mathematics exam.
Academic year:
NTA Entrance Exam Mathematics Revised Syllabus
Units and Topics
| # | Unit/Topic | Marks | Marks with options |
|---|---|---|---|
| 1 | Mathematics | ||
| 1 | Relations and Functions | ||
| 2 | Inverse Trigonometric Functions | ||
| 3 | Matrices | ||
| 4 | Determinants | ||
| 5 | Continuity and Differentiability | ||
| 6 | Applications of Derivatives | ||
| 7 | Integrals | ||
| 8 | Applications of the Integrals | ||
| 9 | Differential Equations | ||
| 10 | Vectors | ||
| 11 | Three-dimensional Geometry | ||
| 12 | Linear Programming | ||
| 13 | Probability | ||
| 2 | Applied Mathematics | ||
| 14 | Numbers, Quantification and Numerical Applications | ||
| 15 | Algebra | ||
| 16 | Calculus | ||
| 17 | Probability Distributions | ||
| 18 | Index Numbers and Time Based Data | ||
| 19 | Financial Mathematics | ||
| 20 | Linear Programming | ||
| Total | - | - |
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Syllabus
1: Mathematics [Revision]
NTA Entrance Exam Mathematics Syllabus
1 Relations and Functions [Revision]
2 Inverse Trigonometric Functions [Revision]
- Properties of Inverse Trigonometric Functions > Reciprocal Property
- Properties of Inverse Trigonometric Functions > Negative Argument Property
- Properties of Inverse Trigonometric Functions > Complementary Property
- Properties of Inverse Trigonometric Functions > Conversion Property
- Properties of Inverse Trigonometric Functions > Addition & Subtraction Formula for Inverse Tangent
- Properties of Inverse Trigonometric Functions > Double-angle Property
- Properties of Inverse Trigonometric Functions > Triple-angle Property
- Properties of Inverse Trigonometric Functions > Addition–Subtraction Formula for Inverse Sine & Cosine
- Properties of Inverse Trigonometric Functions > Self-adjusting Property
3 Matrices [Revision]
4 Determinants [Revision]
5 Continuity and Differentiability [Revision]
- Continuous and Discontinuous Functions
- Algebra of Continuous Functions
- Concept of Differentiability
- Derivatives of Composite Functions
- Differentiation of Implicit Functions
- Derivative of Inverse Trigonometric Function
- Exponential and Logarithmic Functions
- Logarithmic Differentiation
- Derivatives of Functions in Parametric Forms
- Second Order Derivative
- Mean Value Theorem
- Rolle’s Theorem
- Lagrange’s Mean Value Theorem
- Applications
6 Applications of Derivatives [Revision]
- Introduction to Applications of Derivatives
- Rate of Change of Quantities
- Increasing and Decreasing Functions
- Tangents and Normals
- Approximations
- Maxima and Minima
- Maximum and Minimum Values of a Function in a Closed Interval
- Graph of Maxima and Minima
- Simple Problems on Applications of Derivatives
Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations)
7 Integrals [Revision]
- Integration
- Integration as an Inverse Process of Differentiation
- Properties of Indefinite Integral
- Comparison Between Differentiation and Integration
- Methods of Integration> Integration by Substitution
- Methods of Integration> Integration Using Partial Fraction
- Integrals of Some Particular Functions
- Methods of Integration> Integration by Parts
- Methods of Integration>Integration Using Trigonometric Identities
- Definite Integrals
- Definite Integral as the Limit of a Sum
- Fundamental Theorem of Integral Calculus
- Evaluation of Definite Integrals
- Properties of Definite Integrals
8 Applications of the Integrals [Revision]
- Introduction of Applications of the Integrals
- Area Under Simple Curves
- Area Bounded by Two Curves
9 Differential Equations [Revision]
- Basic Concepts of Differential Equations
- Order and Degree of a Differential Equation
- Solution of a Differential Equation
- Formation of a Differential Equation Whose General Solution is Given
- Procedure to Form a Differential Equation that Will Represent a Given Family of Curves
- Methods of Solving First Order, First Degree Differential Equations
- Forms of Solving Differential Equations> Variable Separable
- Forms of Solving Differential Equations> Homogeneous Differential Equations
- Forms of Solving Differential Equations>Linear Differential Equations
- Solutions of Linear Differential Equation
- Solutions of linear differential equation 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.
- Differential equations, order and degree.
- Solution of differential equations.
- Variable separable.
- Homogeneous equations
- Linear form `dy/dx` + Py = Q where P and Q are functions of x only. Similarly, for `dx/dy`.
10 Vectors [Revision]
- Basic Concepts of Vector Algebra
- Vector Analysis
- Vector Operations>Addition and Subtraction of Vectors
- Algebra of Vectors > Addition & Subtraction of Two Vectors
- Components of Vector in Algebra
- Vector Joining Two Points in Algebra
- Section Formula in Coordinate Geometry
- Formula
- Division of Line Segment
- Proof
- Examples
- Product of Two Vectors > Scalar (Dot) Product
- Multiplication of Vectors>Scalar Product(Dot Product)
- Magnitude and Direction of a Vector
- Position Vector of a Point Dividing a Line Segment in a Given Ratio
- Scalar Triple Product
11 Three-dimensional Geometry [Revision]
- Foundation of Coordinate Geometry
- Direction Cosines and Direction Ratios of a Line
- Equation of a Line in Space
- Angle Between Two Lines
- Shortest Distance Between Two Lines
- Different Forms of Equation of a Plane
- Equations of Line in Different Forms
- Coplanarity of Two Lines
- Angle Between Two Planes
- Distance of a Point from a Plane
- Angle Between Line and a Plane
- Vector and Cartesian Equation of a Plane
- Vector and Cartesian Equations of a Line
12 Linear Programming [Revision]
- Concepts of Linear Programming
- Linear Programming Problem and Its Mathematical Formulation
- Methods to Solve LPP (Graphical / Corner Point Method)
- Different Types of Linear Programming Problems
- Different types of linear programming (L.P.) problems
- Manufacturing problem
- Diet Problem
- Transportation problem
13 Probability [Revision]
2: Applied Mathematics [Revision]
NTA Entrance Exam Mathematics Syllabus
14 Numbers, Quantification and Numerical Applications [Revision]
- Modulo Arithmetic
- Define the modulus of an integer
- Apply Arithmetic Operations Using Modular Arithmetic Rules
- Apply the Definition of Congruence Modulo in Various Problems
- Allegation and Mixture
- Rule of Allegation to Produce a Mixture at a Given Price
- Determine the Mean Price of Amixture
- Apply Rule of Allegation
- Solve Real Life Problems Mathematically
- Boats and Streams (Entrance Exam)
- Distinguish between upstream and downstream
- Express the Boats and Streams Problem in the Form of an Equation
- Pipes and Cisterns (Entrance Exam)
- Determine the time taken by two or more pipes to fill
- Races and Games
- Compare the performance of two players w.r.t. time
- distance taken/ distance covered/ Work done from the given data
- Differentiate Between Active Partner and Sleeping Partner
- Determination of Partner's Ratio
- Determine the gain or loss to be divided among the partners in the ratio of their investment with due
- Surface Area of a Combination of Solids
- Numerical Inequalities
- Describe the basic concepts of numerical inequalities
- Understand and write numerical inequalities
15 Algebra [Revision]
16 Calculus [Revision]
- Second Order Derivative
- Higher Order Derivatives
- Derivatives of Functions in Parametric Forms
- Differentiation of Implicit Functions
- Dependent and Independent Variables
- Marginal Cost and Marginal Revenue Using Derivatives
- Define marginal cost and marginal revenue
- Find marginal cost and marginal revenue
- Maxima and Minima
17 Probability Distributions [Revision]
18 Index Numbers and Time Based Data [Revision]
- Index Numbers
- Introduction
- Origin
- Terminologies
- Definition: Index Number
- Test of Adequacy of Index Numbers
- Apply time reversal test
- Population and Sample
- Define Population and Sample
- Differentiate Between Population and Sample
- Representative Sample from a Population
- Define a representative sample from a population
- Parameter
- Define Parameter with reference to Population
- Concepts of Statistics
- Relation Between Parameter and Statistic
- Limitations of Statistics to Generalize the Estimation for Population
- Statistical Significance and Statistical Inferences
- Interpret the concept of Statistical Significance and Statistical Inferences
- Central Limit Theorem
- State Central Limit Theorem
- Relation Between Population, Sampling Distribution, and Sample
- Explain the relation between Population-Sampling Distribution-Sample
- Time Series Analysis
- Meaning, Uses and Basic Components
- Why should we learn Time Series?
- Components of Time Series
- Secular Trend
- Seasonal variations
- Cyclic variations
- Irregular variations
- Measurements of Trends
- Freehand or Graphic Method
- Method of Semi-Averages
- Method of Moving Averages
- Method of Least Squares
- Method of Moving Averages
- Method of Least Squares
- Methods of measuring Seasonal Variations By Simple Averages
- Components of a Time Series
- Secular Trend
- Seasonal Variation
- Cyclical Variation
- Irregular Variation
- Time Series Analysis for Uni-variate Data
- Solve practical problems based on statistical data and Interpret
19 Financial Mathematics [Revision]
- Perpetuity Fund
- Concept of perpetuity
- Sinking Fund
- Concept of sinking fund
- Calculate Perpetuity
- Differentiate Between Sinking Fund and Saving Account
- Valuation of Bond
- Define the concept of valuation of bonds and related terms
- Calculate Value of Bond Using present Value Approach
- Concept of EMI
- Calculation of EMI
- Calculate EMI using various methods
- Methods of Depreciation
- Fixed Instalment Method
- Definition: Fixed Instalment Method
- Overview
- Advantages and Disadvantages
- Formula: When Scrap Value is Given
- Example: When Scrap Value is Given
- Formula: When Rate of Depreciation is Given
- Example: When Rate of Depreciation is Given
- Key Takeaways
- Fixed Instalment Method
- Interpretation Cost, Residual Value and Useful Life of an Asset
- Interpret cost, residual value and useful life of an asset from the given information
20 Linear Programming [Revision]
- Concepts of Linear Programming
- Linear Programming Problem and Its Mathematical Formulation
- Different Types of Linear Programming Problems
- Different types of linear programming (L.P.) problems
- Manufacturing problem
- Diet Problem
- Transportation problem
- Graphical Solution of Linear Inequations
- Methods to Solve LPP (Graphical / Corner Point Method)
