CUET BTech Syllabus 2025- Check Chapter and Topic Wise Syllabus

Chapter Name

Topic Name

Atom and Nuclei

Rutherford's model of atom (I)

Rutherford's model of atom (II)

Conclusion and drawback of Rutherford model

Bohr Model Of The Hydrogen Atom

Radius of orbit and velocity of electron

Energy of electron in nth orbit

Energy level for Hydrogen

Line Spectra Of Hydrogen Atom

De-broglie's Explanation Of Bohr's Second Postulate

Effect of Nucleus motion on Energy

Atomic Collision

Nucleus Structure

Mass-Energy and Nuclear Binding Energy

Binding Energy Per Nucleon

Nuclear Force and Stability

Nuclear Fission

Nuclear Fusion

X-rays

Continuous X-ray

Characteristic X-rays

Moseley's Law

Bragg's Law

Radioactivity - (I)

Radioactivity - (II)

Law Of Radioactivity Decay

Simultaneous and Series Disintegration

Communication Systems

Basic elements of communication system

Propagation Of Electromagnetic Waves

Modulation and its Necessity

Amplitude Modulation

Production Of Amplitude Modulated Wave

Detection Of Amplitude Modulated Wave

Current Electricity

Current

Current Density

Drift Velocity

Ohms Law

Miniature form of Ohm's Law

Mobility

Resistance And Resistivity

Stretching of wire

Heat and power developed in a resistor

Series grouping of Resistance

Parallel Grouping of Resistance

Cell and Emf of a cell

Internal resistance

Current Given by a Cell

Series and Parallel Grouping of cell

Mixed Grouping of Cell

Emf of a cell when the cell is charging and discharging and Open circuit and Short circuit

Kirchhoff first law

Kirchhoff's Second Law

KCL, KVL, Conservation of charge and Energy and introduction to Galvanometer

Ammeter

Voltmeter

Wheatstone's Bridge

Meter Bridge

Faraday's laws of electrolysis

Calculation Of Resistance By Symmetry

Charging of capacitor and inductor

Colour coding of Resistance

Potentiometer

Potential gradient & calibration

Comparison of emf of cell

Determine the internal resistance of a cell

Comparison of resistances

Thermo Couple

Dual Nature of Matter and Radiation

Electron Emission

Photon Theory Of Light

The Photoelectric Effect

Graphs in Photoelectric effect

Einstein's Photoelectric equation

Photons emitted by a source per second

Intensity of radiation

Photon Flux

Force exerted on a surface due to radiation

Wave nature of matter

De-broglie wavelength of an electron

Davisson-germer Experiment

Electromagnetic Induction and Alternating currents

Magnetic flux

Faraday's law of induction

Lenz's law

Motional Electromotive force(I)

Motional Electromotive force(II)

Energy consideration in Motional Emf

Motional Electromotive force(III)

Motional Electromotive force(IV)

Induced Electric field

Time Varying Magnetic field

Eddy currents

Self inductance

Coefficient of Self inductance for long Solenoid

Mutual Inductance

Mutual Inductance for two coaxial long solenoids

Mutual Inductance for a pair of concentric coils

Energy stored in an inductor

AC generator

Average or Mean value

Root mean square (RMS) value

AC Voltage Applied To A Resistor

AC Voltage Applied To An Inductor

AC Voltage Applied To A Capacitor

Series LR Circuit

Series RC Circuit

Series LCR Circuit

Resonance In Series LCR Circuit

Power in an AC circuit

LC Oscillations

Transformers

Quality factor

Electromagnetic waves

Displacement current

Maxwell's equations

Nature Of Electromagnetic Waves

Energy Density And Intensity Of EM Waves

Electromagnetic spectrum

Electronic devices

Band Theory of solids

Classification of solids on the basis of Band theory

Intrinsic Semiconductor

Extrinsic Semiconductor(I)

Extrinsic Semiconductor(II)

Electric Conductivity

Zener diode

Optoelectronic junction devices (I)

P-N Junction

Semiconductor Diode(I)

Semiconductor Diode(II)

Characteristics of a P-N junction

P-N Junction as a rectifier (I)

Zener diode as a voltage regulator

Optoelectronic junction devices (II)

Optoelectronic junction devices (III)

P-N Junction as a rectifier (II)

Logic Gates

Junction Transistor

n-p-n transistor

p-n-p Transistor

Basic transistor circuit configurations

Transistor as a device

Transistor as a device (II)

Electrostatics

Electric Charge

Methods of charging

Coulomb's Law

Electric Field

Electric Field Lines

Electric field due to continuous charge distribution

Electric field on the axis of a charged ring

Electric field due to uniformly charged disc

Electric field due to an infinite line charge

Motion of charged particle in uniform electric field

Electric Dipole

Electric field due to a dipole

Electric field due to a dipole at any general point

Dipole in Uniform electric field

Electric flux(I)

Electric flux(II)

Electric Flux Through Cone Or Disc

Gauss law

Applications of Gauss Law(I)

Applications of Gauss Law(II)

Applications of Gauss Law(III)

Applications of Gauss Law(IV)

Applications of Gauss Law(V)

Electric Potential

Relation between electric field and potential

Electric potential due to continuous charge distribution(I)

Electric potential due to continuous charge distribution(II)

Electric potential due to an electric dipole

Equipotential Surface

Electrostatic Potential Energy

Electric potential energy of an electric dipole

Capacitor

The Parallel Plate Capacitor

Spherical And Cylindrical Capacitors

Combination of capacitors

Energy Stored In Capacitor

Dielectrics

Magnetic Effects of Current and Magnetism

Biot-savart Law

Magnetic Field due to current in straight wire

Magnetic Field due to circular current loop

Magnetic field on the axis of circular current loop

Ampere's circuital law

Application of Ampere's law (I)

Application of Ampere's law (II)

Solenoid

Toroid

Force on a moving charge in magnetic field

Motion of a charged particle in uniform magnetic field(I)

Motion of a charged particle in uniform magnetic field(II)

Lorentz Force

Magnetic force on a current carrying conductor

Force between two parallel current carrying infinite wires

Torque on a rectangular current loop in a uniform magnetic field

Circular current loop as magnetic dipole

Magnetic dipole moment of a revolving electron

Moving Coil Galvanometer

Magnetic Field Lines

Bar magnet as an equivalent solenoid

Dipole in a uniform magnetic field

Magnetism and gauss's law

Cyclotron

Earth's magnetism

Magnetisation and magnetic intensity

Magnetic properties of materials

Hysteresis Curve

Optics

Laws of reflection

Image formation by plane mirror

Rotation of plane mirror

Number of images formed by two plane mirrors

Relation between velocity of object and mirror in plane mirror

Spherical Mirrors

Image Formation By Spherical Mirrors

Mirror formula

Magnification in Spherical mirrors

Relation between velocity of object and mirror in Spherical mirror

Newton's Formula

Refraction

Real Depth And Apparent Depth

Total Internal Reflection

Refraction Through A Glass Slab

Lateral Displacement Of Emergent Ray Through A Glass Slab

Refraction Through A Prism 1

Refraction Through A Prism 2

Dispersion Of Light 1

Dispersion Of Light 2

Refraction At Spherical Surface

Lateral Magnification For Refracting Spherical Surface

Thin lens

Image formation by lens

Lens Maker's formula

Power Of Lens And Mirror

Magnification In Lenses

Relation Between Object And Image Velocity In Lens

Combination of thin lens in contact

Lenses at a distance

Silvered lens

Displacement Method

The Eye

Simple Microscope

Compound Microscope

Astronomical Telescope

Terrestrial Telescope

Wavefronts

Huygens Principle

Reflection of plane wave using Huygens principle

Refraction of plane wave using Huygens principle

Interference of light waves- 1

Interference of light waves- 2

Young's double slit experiment -1

Young's double slit experiment- 2

Optical Path

YDSE with thin slab

Lloyd's Mirror Experiment

Fresnel's Biprism

Thin Film Interference

Diffraction

Fraunhofer diffraction by a single slit

Polarisation of light

Malus's Law

Polarisation of light by reflection

Resolving power of optical instruments

Resolving power of microscope

Resolving power of telescope

CUET question papers with solutions

CUET sample papers for practice

CUET physics question papers

CUET chemistry question paper

CUET maths question papers

CUET exam analysis

Chapter Name

Topic Name

States Of Matter

General Characteristics of Solid State, Amorphous and Crystalline Solids

Classification of Crystalline Solids

Crystal Lattices and Unit Cells

Number of Atoms in a Unit Cell

Close Packed Structures

Interstitial Voids

Packing Efficiency

Mathematical Analysis of Cubic System

Structure of Some Ionic Solids

Imperfections in Solids

Electrical Properties

Magnetic Properties

Superconductivity and Bragg’s Equation

Electrochemistry

Introduction to Electrochemistry

Electrochemical Series

Quantitative Aspect of Electrolytic Cell: Faraday's First Law

Faraday's Second Law

Galvanic Cells

Problem in Galvanic Cells and Salt Bridge

Function of Salt Bridge and Condition

Cell Representation of Galvanic Cells

Electrode Potential and EMF of Cells

Standard Hydrogen Electrode

Feasibility and Gibbs Free Energy of Reaction

Nernst Equation

Nernst Equation for Full Cell

Equilibrium Constant Through Nernst Equation

Concentration Cell

Concentration Cell With Respect to S.H.E

Conductance of Electrolytic Solutions

Molar and Equivalent Conductance

Effect of Dilution on Conductance, Λm^, Λeq and Conductivity

Molar Conductance at Infinite Dilution

Kohlrausch's Law

Batteries

Secondary Batteries

Solutions

Solution

Concentration Terms

Vapour Pressure

Factors on which Vapour Pressure depends

Vapour Pressure of Solution Containing Two Volatile Liquids

Vapour Pressure of Solution Containing Non-Volatile Solute

Ideal Solution

Examples of Ideal solution

Non-Ideal Solution Showing Negative Deviation from Raoult's Law

Non-Ideal Solution Showing Positive Deviation from Raoult's Law

Azeotropic Mixture

Relation Between Raoult's Law and Dalton's Law

Elevation In Boiling Point

Depression in Freezing Point

Osmosis and Osmotic Pressure

Reverse Osmosis

Isotonic, Hypertonic, Hypotonic Solution

van't Hoff factor(i) or Abnormal Colligative Property

Calculation of Extent of Dissociation in an Electrolytic Solution

Calculation of Extent of Association in an Electrolytic Solution

Solubility And Henry's Law

Real Life Examples of Henry's Law

Chemical Kinetics

Rate Of Reaction

Average Rate of Reaction

Instantaneous Rate of Reaction

Factors Affecting Rate of Reaction

Factors Affecting Rate of Reaction(2)

Rate Law

Unit of Rate Constant

Important Points About Order of Reaction

Simple/Elementary Single Step Reaction

Initial Rate Method to Determine Correct Rate Law and Order of Reaction

Zero Order Kinetics - Zero Order Reaction

Integrated Rate Law - Zero Order Reaction

Half Life and Life Time of Reaction

Graphs for Zero-Order Reaction

Special Zero Order Reaction

First Order Reaction

Other Forms of Rate Law

Half Life of First Order Reaction

Graphs of First Order Kinetics

Second Order Kinetics

nth Order Kinetics

How to Determine Order of Reaction: Half Life Method

How to Determine Order of Reaction: Graphical Method

How to Determine Order of Reaction - Integrated Rate Law Method

Molecularity Of Reaction

Pseudo Order Reaction

Complex Reaction

Order of Reaction vs Molecularity

Effect of Temperature on Rate of Reaction: Temperature Coefficient

Effect of Temperature on Rate of Reaction: Accurate Dependency of K on T

Ratio of Two Rate Constants at Two Different Temperatures

Exception(Arrhenius Theory)

Complex Reaction - Mechanism of Reaction

Complex Reaction (When Intermediate is Incorporated)

Parallel First Order Kinetics

Effective Activation Energy

[A], [B], [C] Vs time(t)

Surface Chemistry

Introduction to Surface Chemistry

Adsorption and Absorption

Mechanism of Adsorption

Factors Affecting Adsorption

Thermodynamics of Adsorption

Physical Adsorption

Chemical Adsorption

Adsorption Isotherm

Freundlich Isotherm

Adsorption From Solution Phase

Application of Adsorption

Catalysis (Homogeneous and Heterogeneous Catalysis)

Promoters and Poisons

Features of Solid Catalyst

Shape-Selective Catalysis

Enzyme Catalysis

Colloids

Lyophilic and Lyophobic Colloids

Multimolecular and Macromolecular Colloids

Associated Colloids

Cleansing Action of Soaps

Preparation of Colloids(Hydrophobic Sols) - Physical Method

Peptization(Physical Method of Preparation of Colloids)

Chemical Method of Preparation

Properties of Colloidal Solution

Electrophoresis

Coagulation/Flocculation

Charge on Colloids

Electric Double Layer - Zeta Potential

Hardy Schulze Rule

Protective Sols - Gold Number

Purification/Precipitation of Colloids

General Principle and Process of Isolation of metals

Metallurgy

Combined State and Native State

Types of Ores

Principle of Metallurgical Extraction

Process in Metallurgy

Magnetic Separation Method

Frothers, Froth Stabilizers, Collectors and Depressants

Froth Floatation Process

Leaching: Chemical Method

Gold Cyanidation (Mac-arther forrest process)

Conversion of ore into oxide - Calcination and Roasting

Flux And Slag

Ellingham Diagram

Reduction of oxide to metal - Smelting

Reduction by a More Electropositive Metal (Thermite Process)

Liquation

Distillation Method

Electrolytic Refining

Zone Refining Process

Vapour Phase Refining

p- Block Elements

Group 15 - Physical and Chemical Properties

Chemical Properties - 2

Chemical Properties - 3

Chemical Properties - 4

Dinitrogen

Ammonia (NH3)

Oxides of Nitrogen

Phosphorus

Phosphine And Phosphorus Chloride

Oxoacids of Phosphorus

Group 16: Oxygen Family - Physical Properties

Chemical Properties - 1

Chemical Properties - 2

Oxygen (Special Compounds)

Oxides

Ozone

Sulphur - Allotropic Forms

Sulphuric Acid(H2SO4)

Group 17 Elements: General Characteristics and Group Trends

Interhalogen Compound

General properties of Hydrides of Group 17

Oxides

Reaction with Alkali

Oxoacids of Halogens

Chlorine(Cl2)

Preparation of HCl, HBr and HI

Bleaching Powder

Group 18 Elements: General Characteristics

Chemical Properties

Important Compounds of Xenon

Uses of Noble Gases

d- And f- Block Elements

Transition Elements Introduction

Screening Effect and Lanthanide Contraction

Atomic Size/Radii

Metallic Character and Enthalpy of Atomization

Ionisation Energy

Oxidation State

Magnetic Properties and Character

Formation of Coloured Ions

Formation of Interstitial Compounds

KMnO4

K2Cr2O7

Physical Properties of f-block

Physical Properties of f-block - 2

Chemical Properties of Lanthanides

Properties of Actinides

Coordination Compounds

Addition Compounds or Molecular Compounds

Terminologies Related to Coordination Compounds

Types of Ligands - 1

Types of Ligands - 2

Oxidation Number

Coordination Number

Effective Atomic Number(EAN)

Writing the Formula of a Complex or Coordination Compound

IUPAC Nomenclature of Coordination or Complex Compound

Naming of Complex Ions/Molecules

Naming of Complex Anion

Naming of Complex Anion and Complex Cation

Naming of Bridged Complex

Bonding in Coordination Compounds(Werner's Theory)

Valence Bond Theory

Analysis of Complex Compound on the Basis of VBT

Exceptional Case of Hybridisation(VBT)

Magnetic Moment(On the Basis of VBT)

Limitations of VBT

Main Postulates of Crystal Field Theory

Crystal Field Splitting in Octahedral Field

Crystal Field Splitting in Tetrahedral Field

Factors Affecting CFSE

Applications of CFT

Limitations of CFT

Factors Affecting Stability of Complex Compound

Stereoisomerism

Structural Isomerism - 1

Structural Isomerism - 2

Stability of Complexes

Organometallics

Pi - Complex

Organic Compounds containing Halogens

Nature of C-X bond and Physical Properties

Huns-dicker Reaction

Reaction with NaCN, AgCN, NaNO2 and AgNO2

Finkelstein and Swartz Reaction

Reaction with PCl5, PCl3, SOCl2 and HX

Strong and Weak bases

SN2 Reaction

SN1 Reaction

Elimination-Addition Mechanism(I)

Nucleophilic Substitution

Preparation of Aryl Halides

Elimination-Addition Mechanism(II)

Grignard Reagent - 1

Grignard Reagent - 2

Reduction of Anhydrides and Esters

Reduction by LiAlH4 and NaBH4

Properties of Alcohols

Acylation and Oxidation of Alcohols

Haloform Reaction

Pinacol Pinacolone Rearrangement

Oxidative Cleavage with HIO4

Preparation of Phenol(I)

Preparation of Phenol(II)

Properties of Phenols

Reactions due to (-OH) group

Reimer-Tiemann and Kolbe's Schmidt Reactions

Claisen's Rearrangement

Reaction with Conc. HNO3, Phthalic Anhydride

Reaction of Phenols with dil. HNO3

Williamson's Ether Synthesis

Preparation of Aldehydes and Ketones

Preparation of Aldehydes

Preparation of Ketones

Nucleophilic Addition Reaction

Reduction and Oxidation Reaction

Intermolecular Aldol Condensation

Intramolecular Aldol Condensation

Intermolecular Cannizzaro Reaction

Intramolecular Cannizzaro Reaction

Methods of Preparation of Carboxylic Acids

Chemical Properties of Carboxylic Acids

Acidity in Carboxylic Acids

Perkin's Condensation

Reformatsky Reaction

Benzoin Condensation, Benzil-Benzilic Acid Rearrangement

Methods of Preparation of Amines

Gabriel Phthalimide Synthesis

Hoffmann Bromamide Reaction

Special Case of Hoffmann Bromamide Reaction

Test For Amines

Carbylamine Test

Alkylation and Acylation of Amines

Reaction with NaNO2 + HCl

Basicity of Aliphatic Amines

Azo-Coupling Reaction

Properties of Nitro Compounds and Mulliken Barker Test

Preparation And Properties Of Aromatic Nitrocompounds

Basicity of Aromatic Amines

Biomolecules

Carbohydrates

Cyclic Structure of Glucose(Haworth Projection)

Cyclic Structure of Fructose(Haworth Projection)

Anomers, Epimers, Mutarotation

Test for Carbohydrates

Evidence for Open Chain Structure of Glucose

Evidence for Ring Structure of Glucose

Chemical Properties of Glucose

Disaccharides and Polysaccharides

Amino Acids - 1

Amino Acids - 2

Amino Acids - 3

Enzymes

Enzymes

Vitamins

Polymers

Polymers 1

Polymers 2

Classification based on molecular forces

Rubbers

Synthetic Rubbers

Polyamide

Polyester

Biodegradable Polymers

Chemistry In Everyday Life

Drugs and their Classification

Drug-Target Interaction: Enzyme Catalysis

Antacids and Antihistamines

Tranquilisers (antidepressant)

Antipyretics

Analgesics

Antiseptics And Disinfectants

Antibiotics

Antifertility Drugs

Preservatives

Artificial Sweetening Agents

Soaps

Synthetic Detergents

Chapter Name

Topic Name

Differential equations

Differential Equation

Formation of Differential Equation and Solutions of a Differential Equation

Differential equations with variables separable

Differential Equation Reducible to Variable Separable Form

Homogeneous Differential Equation

Reducible to Homogeneous Form

Linear Differential Equation

Bernoulli’s Equation

Orthogonal Trajectory

Exact Differential Equation

Application of Differential Equation

Sets, Relations and Functions

Relation, Number of relation

Domain, Range of Relation

Universal relation, Empty Relation, Identity relation

Reflexive, Symmetric and Transitive relation

Equivalence relation

Functions, Image and Preimage

Domain of function, Co-domain, Range of function

Inequalities

Transcendental function

Logarithmic Inequalities

Trigonometric Function

Inverse Trigonometric Function

Modulus Function, Properties of Modulus Function

Algebraic function

Piecewise function

One - One Function(injective)

Many-one Function, many one graphical check

Onto Function or Surjective

Into Function, Bijective function, Equality of function

Composition of function, Condition for Composite Function, Property of Composite Function

Inverse of a function

Even and Odd Function

Periodic Functions

Vertical and Horizontal Transformation

Graphical transformation (f(x) transforms to af(x) and (1/a)f(x))

Graphical transformation (f(x) transforms f(ax) and f(x/a))

Graphical Transformation (involve modulus)

f(x) = min{g1(x), g2(x).......... } or max{g1(x), g2(x).......... }

Matrices and Determinants

Matrices, order of matrices, row and column matrix

Types of Matrices - Part 1

Types of Matrices - Part 2

Triangular matrix (Upper and Lower triangular matrix)

Addition and Subtraction of Matrices

Properties of matrix addition

Scalar Multiplication of Matrix

Multiplication of two matrices

Properties of matrix multiplication

Transpose Of A Matrix

symmetric and skew symmetric matrix

Properties of symmetric and skew symmetric matrices

Conjugate Of A Matrix

Transpose conjugate of a matrix and properties

Hermitian matrix

Skew-hermitian matrix

Properties of hermitian and skew-hermitian matrices

Trace of a matrix and properties

Orthogonal matrix, Unitary matrix and Idempotent matrix

Periodic matrix and Nilpotent matrix and involutory matrix

Elementary row operations

Using elementary operations to compute the inverse of matrix of order 2

Using elementary operations to compute the inverse of matrix of order 3

Determinant of a matrix and singular and non-singular matrix

Properties of Determinant of a Matrix

Minor and cofactor of an element in a matrix A

Adjoint of a Matrix

Properties of adjoint of Matrix - Part 1

Properties of adjoint of Matrix - Part 2

Inverse of a Matrix

Inverse of a Matrix of order 3 using adjoint

Properties of Inverse of a Matrix - Part 1

Properties of Inverse of a Matrix - Part 2

Properties of Inverse of a Matrix - Part 3

Multiplication of Determinant

Properties of Determinants - Part 1

Properties of Determinants - Part 2

Properties of Determinants - Part 3

System of linear equations

Cramer’s law

Homogeneous System Of Linear Equations

Solution of System of Linear Equations Using Matrix Method

Trigonometry

Inverse Trigonometric Functions

Domain and range of Inverse Trigonometric Function (Part 1)

Domain and range of Inverse Trigonometric Function (Part 2)

Function f (f-1 ( x )), where f(x) is a trigonometric function

Principal Value of function f-1 (f (x))

Graph of Principal Value of function f-1 (f (x)) (Part 1)

Graph of Principal Value of function f-1 (f (x)) (Part 2)

Graph of Principal Value of function f-1 (f (x)) (Part 3)

Different Inverse trigonometric function relating with each other

Relating f-1(x) with f-1( -x)

Relating f-1(x) with f-1(1/x)

Complementary Angles

Sum and difference of angles in terms of arctan (Part 1)

Sum and difference of angles in terms of arctan (Part 2)

Sum and difference of angles in terms of arcsin

Sum and difference of angles in terms of arccos

Multiple angles in terms of arcsin

Multiple angles in terms of arccos

Multiple angles in terms of arctan and arcsin

Multiple angles in terms of arctan and arccos

Limit , continuity and differentiability

Rules of Differentiation

Rules of Differentiation ( Sum/ Multiply/ Divide or Quotient Rule)

Rules of Differentiation (Chain Rule)

Differentiation of Implicit Function

Differentiation of Function in Parametric Form

Differentiation of Inverse Trigonometric Function (cos/sin/tan)

Differentiation of Inverse Trigonometric Function (csc/sec/cot)

Differentiation Using Logarithm

Differentiation of a Function wrt Another Function and Higher Order derivative of a Function

Differentiation of Determinants

Differentiation of Function and Relation

Differentiation of Inverse Function

Continuity

Directional Continuity and Continuity over an Interval

Discontinuity and Removable Types Discontinuity

Non - Removable, Infinite and Oscillatory Type Discontinuity

Continuity and Discontinuity obtained by Algebraic Operations

Continuity of Composite Function

The Intermediate Value Theorem

Differentiability and Existence of Derivative

Differentiability and Continuity

Examining differentiability Using Graph of Function

Differentiability in an Interval and Theorems of Differentiability

Differentiability of Composite Function

Derivative as Rate Measure

Approximations and Errors using Derivatives

Tangent to the Curve at a Point

Slope and Equation of Normal

Angle of Intersection of Two Curves

Length of Tangent, Normal, Subtangent and subnormal

Rolle’s Theorem

Lagrange’s Mean Value Theorem

Monotonicity (Increasing and Decreasing Function)

Decreasing Function

Monotonicity of Composite Function

Non-Monotonic Function and Critical Point

Concavity and Point of Inflection

Maxima and Minima of a Function

Derivative Tests to Get Extrema

Maxima and Minima of Discontinuous Function

Global Maxima and Minima

Application of Monotonicity (Pat 1)

Application of Monotonicity (Pat 2)

Nature of Roots of Cubic Polynomial

Application of Extremum in Plane Geometry and Solid geometry

Integral Calculus

Integration as Reverse Process of Differentiation

Fundamental Formulae of Indefinite Integration (Trigonometric Functions)

Integration Using Substitution

Fundamental Formulae of Indefinite Integration (Inverse Trigonometric Functions)

Some Special Integration

Application of Special Integral Formula (Part 1)

Application of Special Integral Formula (Part 2)

Trigonometric Integrals (Part 1)

Trigonometric Integrals (Part 2)

Integration by Parts

Application of of Integration by Parts

Integration Using Partial Fraction

Integration of Irrational Algebraic Function (Part 1)

Integration of Irrational Algebraic Function (Part 2)

Integration by Derived Substitution (Part 1)

Integration by Derived Substitution (Part 2)

Integration Using Euler's Substitution

Reduction Formula (Part 1)

Reduction Formula (Part 2)

Integration Based on Indirect Substitution

Integration Based on Derived Substitution - Algebraic Twins

Integration Based on Derived Substitution - Trigonometric Twins

Definite Integration

Definite Integral As Limit Of A Sum

Evaluation of Definite Integrals by Substitution

Properties of the Definite Integral (Part 1)

Properties of the Definite Integral (Part 2) - King's Property

Piecewise Definite Integration

Application of Even- Odd Properties in Definite Integration

Application of Periodic Properties in Definite Integration

Newton-leibnitz Formula

Application of Inequality in Definite Integration

Application of Inequality in Definite Integration (Schwarz - Bunyakovsky Inequality)

Area Bounded by Curve and Axes

Area Bounded by Two Curves

Area Bounded by Curves When Intersects at More Than One Point

Vector Algebra

Introduction to 3D Coordinate System

Vector And Scalar

Component of vector and Vector Joining Two Points

Types Of Vectors

Direction Cosines and Direction Ratio

Addition and subtraction of Vectors

Multiplication of a Vector by a Scalar

Section Formula

Linear Combination of Vectors

Linear Dependent Vectors

Dot (Scalar) Product of Two Vectors

Dot (Scalar) Product in Terms of Components

Finding Components of a vector Along and Perpendicular to another Vector

Vector (or Cross) Product of Two Vectors

Vector Product in Terms of Components

Geometrical Interpretation of Vector product

Scalar Triple Product

Geometrical Interpretation of Scalar Triple Product

Vector Triple Product

Lagrange's Identity

Three Dimensional Geometry

Introduction to 3D Coordinate System

Section Formula, Direction Cosines and Direction Ratio

Equations for a Line in Space

Angle Between Two Lines

Perpendicular Distance between a Point and a Line

Image of a Point in the given Line

Shortest Distance between Two Lines

Equation of a plane in normal form

Equation Of A Plane Perpendicular To A Given Vector And Passing Through A Given Point

Equation Of A Plane Passing Through 3 Non Collinear Point

Equation Of A Plane Passing Through A Given Point And Parallel To Two Given Vectors

Angle Between Two Planes

Family of Plane

Distance of a Point From a Plane

Image Of A Point In The Plane

Two Sides Of A Plane

Equation of The Plane Bisecting the Angle Between Two Planes

Line of Intersection of Two Plane and Angle Between a Line and a Plane

Intersection of Line and Plane

Coplanarity of Two Lines

Equation Of Sphere

Statistics and Probability

Conditional Probability

Multiplication Theorem on Probability

Independent Event

Total Probability Theorem And Bayes' Theorem

Random Variables And Its Probability Distributions

Bernoulli Trials And Binomial Distribution

Mathematical Induction

Principle of Mathematical Induction

Practice Session

Mathematical Reasoning

Introduction

Logic Connectivity

Truth Table

Relation Between Set Notation and Truth Table

Converse, Inverse, and Contrapositive

Tautology And Contradiction

Algebra Of Statements

Practise Session - 1

Practise Session - 2

Syllogism

Linear Programming

Linear Programming

Solution of Linear Programming Problems

Different Types of Linear Programming Problems

Chapter Name

Topic Name

Numbers, Quantification and Numerical Applications

Modulo Arithmetic

Congruence Modulo

Allegation and Mixture

Numerical Problems

Boats and Streams

Pipes and Cisterns

Races and Games

Partnership

Numerical Inequalities

Algebra

Matrices and types of matrices

Equality of matrices, Transpose of a matrix, Symmetric and Skew symmetric matrix

Calculus

Higher Order Derivatives

Marginal Cost and Marginal Revenue using derivatives

Maxima and Minima

Probability Distributions

Probability Distribution

Mathematical Expectation

Variance

Index Numbers and Time Based Data

Index Numbers

Construction of Index numbers

Test of Adequacy of Index Numbers

Time Series

Components of Time Series

Time Series analysis for univariate data

Inferential Statistics

Population and Sample

Parameter and Statistics and Statistical Interferences

Financial Mathematics

Perpetuity, Sinking Funds

Valuation of Bonds

Linear method of Depreciation

Calculation of EMI

Linear Programming

Introduction and related terminology

Mathematical formulation of Linear Programming Problem

Different types of Linear Programming Problems

Graphical Method of Solution for problems in two Variables

Feasible and Infeasible Regions

Feasible and infeasible solutions, optimal feasible solution

Exam Name

CUET 2025

Full Form

Common University Entrance Test

Number of Shifts per day

Three

Medium of test

13 languages (Hindi, Tamil, Assamese, Bengali, English, Gujarati, Kannada, Malayalam, Marathi, Punjabi, Odia, Telugu,

and Urdu)

Mode of Test

Hybrid (computer and pen-paper based)

Types of questions

MCQs

CUET 2025 sections and number of questions

Section A- Language test (40 out of 50)

Section B- Domain-specific test (40 out of 50)

Section C- General test (50 out of 60)

Number of Subjects

Maximum 6 test papers allowed (maximum of 2 languages and 5 domain-specific subjects can be chosen)

Domain-related subjects for CUET BTech exam

Physics, Chemistry, Mathematics

(Subject combinations can be specific to the type of college and course)

Marking Scheme

5 marks for the correct answer

Negative 1 mark for incorrect answer