KEAM 2025 Syllabus: Download Latest Subject-Wise Detailed Syllabus, Important Topics

• Complex Numbers
• Sets, Relations And Functions
• Permutations, Combinations, Binomial Theorem
• Sequences and Series
• Linear Inequations
• Matrices and Determinants

• Differentiation
• Functions, Limits, and Continuity
• Indefinite Integrals
• Application of Derivatives
• Linear Programming
• Definite Integrals

• Lines
• Three Dimensional Geometry    
• Conic sections
• Vectors

Algebra

• Complex Numbers

• Linear Inequations

• Sequences and Series

• Permutations, Combinations, Binomial Theorem and Mathematical Induction

• Quadratic Equations

• Sets, Relations And Functions

• Mathematical Logic and Boolean Algebra

• Matrices and Determinants

Geometry

• Cartesian System of Rectangular Coordinates

• Lines and Family of lines

• Conic sections

• Three Dimensional Geometry

• Circles and Family of circles

• Vectors

Statistics

• Statistics and probability

Calculus

• Functions, Limits and continuity

• Differential Equations

• Definite Integrals

• Application of Derivatives

• Differentiation

• Indefinite Integrals

• Physical world and Measurement

• Kinematics

• Atomic Nucleus

• Waves

• Dual Nature of Matter and Radiations

• Motion of System of Particles and Rigid Body Rotation

• Gravitation

• Description of Motion in One Dimension

• Description of Motion in Two and Three Dimensions

• Mechanics of Solids and Fluids

• Laws of Motion

• Heat and Thermodynamics

• Oscillations

• Electrostatics

• Electromagnetic Induction and Alternating Current

• Electromagnetic Waves

• Current Electricity

• Magnetic Effect of Current and Magnetism

• Optics

• Solids and Semiconductor Devices

• Principles of Communications

• Work, Energy and Power

• Basic Concepts and Atomic Structure – Laws of chemical combination, Atomic structure

• Bonding and Molecular Structure

• Surface Chemistry – Adsorption, Colloids

• Environmental Chemistry and Chemistry in Every Day Life

• States of Matter – Gaseous state, Liquid state, Solid state

• P-Block Elements – General characteristics of p-block elements, Boron, Silica, Group 18 elements

• D-Block and F-Block Elements – d-Block elements, f-Block elements: Lanthanides

• Periodic Properties of Elements and Hydrogen – Classification of elements, Hydrogen

• S-Block Elements and Principles of Metallurgy – Alkali metals, Alkaline earth metals, Principles of metallurgy

• Thermodynamics – System and surrounding, First law of thermodynamics, Second law of thermodynamics

• Redox Reactions and Electrochemistry – Oxidation and reduction, Faraday’s laws of electrolysis, Corrosion and its prevention

• Chemical Kinetics

• Chemical Equilibrium – Physical and chemical equilibria, Equilibria involving chemical systems, Concepts of acids and bases

• Solutions – Types of solutions, Colligative properties

• Coordination Compounds and Organometallics

• Organic Reaction Mechanism – Electronic displacement in a covalent bond, Common types of organic reactions

• Stereochemistry – Stereoisomerism

• Basic Principles, Purification and Characterization of Organic Compounds

• Organic Compounds with Functional Groups Containing Nitrogen - Amines

• Hydrocarbons – Classification of hydrocarbons, Alkanes and cycloalkanes, Alkenes and alkynesAromatic hydrocarbons

• Organic Compounds with Functional Groups Containing Halogens – Haloalkanes and haloarenes, Polyhalogen compounds

• Organic Compounds with Functional Groups Containing Oxygen – Alcohols, Phenols, Ethers, Some commercially important compounds, Aldehydes and ketones, Carboxylic acid

• Polymers and Biomolecules – Polymers, Biomolecules, Reducing and non-reducing sugars, Polysaccharides, Proteins, Vitamins