VTUEEE 2025 Syllabus PDF - Download Latest VTUEEE Syllabus for All Subjects

• Physical quantities, units, and dimensions
• Errors in measurement
• Dimensional analysis

• Kinematics: Motion in one and two dimensions, projectile motion, relative velocity
• Laws of Motion: Newton’s laws, friction, dynamics of uniform circular motion
• Work, Energy, and Power: Work-energy theorem, kinetic and potential energy, conservation of mechanical energy, power
• System of Particles and Rotational Motion: Center of mass, moment of inertia, rotational dynamics
• Gravitation: Universal law of gravitation, acceleration due to gravity, Kepler’s laws, orbital velocity

• Mechanical Properties of Solids: Stress-strain relationship, Young’s modulus, bulk modulus
• Mechanical Properties of Fluids: Viscosity, Bernoulli’s principle, surface tension
• Thermal Properties of Matter: Heat transfer, conduction, convection, radiation, calorimetry, thermal expansion

• Zeroth, first, and second laws of thermodynamics
• Heat engines, refrigerators, and efficiency
• Concepts of internal energy, heat, work, and specific heat capacities

• Ideal gas laws, kinetic interpretation of temperature
• Degrees of freedom, mean free path, equipartition of energy

• Oscillations: Simple harmonic motion, oscillations of spring and pendulum, damping, resonance
• Waves: Wave motion, speed of sound, Doppler effect, superposition principle, standing waves

• Electric charge and Coulomb’s law
• Electric field, electric potential, Gauss’s law
• Capacitance and capacitors in series and parallel

• Electric current, Ohm’s law, series and parallel resistors
• Kirchhoff’s laws, Wheatstone bridge, and potentiometer
• Electrical energy and power

• Biot-Savart law, Ampere’s law, magnetic field due to a current-carrying wire
• Force on a current-carrying conductor, torque on a current loop
• Moving coil galvanometer, magnetic properties of materials, Earth's magnetism

• Faraday’s law, Lenz’s law, self and mutual inductance
• AC circuits, RMS and peak values, reactance and impedance
• Power in AC circuits, LC oscillations, transformers

• Nature of electromagnetic waves, Maxwell’s equations
• Electromagnetic spectrum (radio waves to gamma rays)

• Reflection and refraction, total internal reflection
• Lens formula, magnification, optical instruments
• Wave optics: Interference, diffraction, polarization

• Photoelectric effect, de Broglie wavelength
• Davisson-Germer experiment

• Bohr’s model of the atom, energy levels, hydrogen spectrum
• Radioactivity, alpha, beta, and gamma decay
• Nuclear fission and fusion

• Semiconductors, diodes, and transistors
• Logic gates (AND, OR, NOT)

• Basics of communication, bandwidth, amplitude and frequency modulation
• Satellite communication, the internet, mobile telephony

Some Basic Concepts of Chemistry

• Mole concept and molar mass
• Stoichiometry, stoichiometric calculations
• Laws of Chemical Combination

States of Matter: Gases and Liquids

• Gas laws (Boyle’s, Charles’s, Gay-Lussac’s, Avogadro’s)
• Ideal gas equation, real gases, and Van der Waals equation
• Kinetic theory of gases, liquid state

Atomic Structure

• Discovery of electron, proton, neutron
• Bohr’s model of the atom, quantum mechanical model
• Quantum numbers, shapes of orbitals, electronic configuration

Chemical Bonding and Molecular Structure

• Ionic and covalent bonds, Lewis structure, valence bond theory, hybridization
• Molecular orbital theory, VSEPR theory
• Polar and non-polar molecules, hydrogen bonding

Thermodynamics

• First law of thermodynamics, internal energy, enthalpy, heat capacity
• Hess’s law of constant heat summation
• Entropy, second and third laws of thermodynamics, Gibbs energy, spontaneity

Equilibrium

• Equilibrium in physical and chemical processes, the law of mass action
• Le Chatelier’s principle, the equilibrium constant
• Ionic equilibrium, acids, bases, pH, buffers, solubility product

Redox Reactions

• Oxidation-reduction reactions, oxidation number
• Balancing redox reactions
• Electrochemical cells, Nernst equation

Electrochemistry

• Electrolytic and galvanic cells
• Conductance of electrolytic solutions
• Electrochemical series, Faraday’s laws

Chemical Kinetics

• Rate of reaction, factors affecting rate, order, and molecularity of reaction
• Rate laws, integrated rate equations
• Activation energy, Arrhenius equation, collision theory

Surface Chemistry

• Adsorption, catalysis, colloids
• Emulsions, properties of colloidal solutions

Solutions

• Types of solutions, Raoult’s law
• Colligative properties (relative lowering of vapour pressure, elevation of boiling point, depression of freezing point, osmotic pressure)
• Abnormal molecular mass, van’t Hoff factor

Classification of Elements and Periodicity in Properties

• Modern periodic table, periodic trends in properties (ionization energy, electronegativity, atomic and ionic radii)

General Principles and Processes of Isolation of Metals

• Occurrence of metals, concentration, reduction, and refining of metals
• Metallurgy of aluminium, copper, zinc, and iron

Hydrogen

• Properties, preparation, and uses of hydrogen
• Heavy water, hydrogen as a fuel

s-Block Elements (Alkali and Alkaline Earth Metals)

• Group 1 and 2 elements, properties, preparation, and uses
• Biological importance of sodium, potassium, magnesium, calcium

p-Block Elements

• Group 13 to 18 elements, properties, preparation, and uses
• Important compounds like borax, boric acid, diborane, aluminium chloride, silicones, oxides of nitrogen, phosphine, sulfuric acid, halides, and interhalogen compounds
• Noble gases, their properties, and compounds (XeF2, XeF4)

d- and f-Block Elements

• Transition elements, properties, and uses
• Lanthanoids and actinoids, oxidation states, and trends

Coordination Compounds

• Nomenclature, bonding, Werner’s theory
• VBT, crystal field theory, colour, magnetic properties
• Importance in biological systems, extraction of metals

Environmental Chemistry

• Environmental pollution, air, water, and soil pollution
• Ozone depletion, green chemistry

Some Basic Principles of Organic Chemistry

• IUPAC nomenclature, classification of organic compounds
• Electronic displacement effects: inductive effect, resonance, hyperconjugation
• Homolytic and heterolytic fission, free radicals, carbocations, carbanions

Hydrocarbons

• Alkanes: Preparation, properties, reactions (free radical substitution)
• Alkenes and Alkynes: Preparation, properties, reactions (Markovnikov’s rule, anti-Markovnikov’s addition)
• Aromatic Hydrocarbons: Benzene, electrophilic substitution reactions

Haloalkanes and Haloarenes

• Nomenclature, preparation, physical and chemical properties
• SN1 and SN2 mechanisms, elimination reactions

Alcohols, Phenols, and Ethers

• Nomenclature, methods of preparation, properties, and reactions
• Acidity of phenols, Williamson’s synthesis

Aldehydes, Ketones, and Carboxylic Acids

• Nomenclature, methods of preparation, properties
• Reactions: nucleophilic addition, oxidation, reduction, Cannizzaro reaction

Amines

• Nomenclature, methods of preparation, properties
• Basicity of amines, diazonium salts

Biomolecules

• Carbohydrates: Classification, glucose, fructose, and their structures
• Proteins: Amino acids, peptide bonds, primary, secondary, tertiary structure
• Nucleic acids: DNA, RNA, biological functions of nucleotides

Polymers

• Classification, types of polymerization
• Examples: Nylon, polyester, rubber, biodegradable polymers

Chemistry in Everyday Life

• Chemicals in medicines (analgesics, tranquillizers, antibiotics)
• Chemicals in food (antioxidants, preservatives, artificial sweeteners)
• Cleansing agents (soaps, detergents)

• Sets and their representation
• Union, intersection, and complements of sets
• Types of relations: reflexive, symmetric, transitive, equivalence relations
• Functions: one-one, onto, composite functions, the inverse of a function

• Complex numbers in the form of a + ib
• Polar representation of complex numbers, roots of complex numbers
• Quadratic equations: roots and their nature, relation between roots and coefficients
• Solving quadratic equations using the discriminant and completing the square ex Numbers

• Types of matrices, operations on matrices
• Transpose, inverse, and properties of determinants
• Cramer’s rule, solving a system of linear equations using matrix methods

• Fundamental principle of counting, factorial notation
• Permutations and combinations, their applications in counting problems
• Circular permutations, derangements

• Expansion of (x + y)^n
• General and middle terms, properties of binomial coefficients

• Arithmetic progression (AP), geometric progression (GP)
• The sum of the first n terms of an AP and GP
• Special series: sum of squares, cubes, and arithmetic means

• Limits of functions, algebraic and trigonometric limits
• Continuity and differentiability of functions
• Derivatives of composite, implicit, and parametric functions
• Application of derivatives in finding maxima, minima, and tangent lines

• Indefinite integrals, standard integrals
• Techniques of integration: substitution, partial fractions, and by parts
• Definite integrals, properties of definite integrals
• Application of integrals: areas under curves, between two curves

• Formation of differential equations
• Solution of first-order differential equations by separation of variables, homogeneous, linear differential equations
• Applications to growth and decay problems, cooling, and heating

• Straight Lines: Slope of a line, angle between two lines, various forms of equations of a line, distance formula
• Circles: Equation of a circle, tangent, normal, and chords
• Conic Sections: Parabola, ellipse, and hyperbola, their standard equations and properties

• Direction cosines and direction ratios
• Equation of a plane, line in space, shortest distance between two lines
• The angle between two lines, the angle between a line and a plane