The complete VITEEE 2027 syllabus as VIT has published it for 2027 — Mathematics (10 units), Physics (14), Chemistry (6), Biology (10), Aptitude and English — and the Amrita AEEE syllabus from Amrita’s latest Information Handbook (AEEE 2026; the 2027 handbook is not out yet). Tap a subject to open it. Exam dates are on the VITEEE & AEEE 2027 dates page.
| Section | MPCEA (Maths) | BPCEA (Biology) | Time for the section |
|---|---|---|---|
| Mathematics / Biology | 40 | 40 | 50 minutes |
| Physics | 25 | 25 | 30 minutes |
| Chemistry | 25 | 25 | 30 minutes |
| English | 5 | 5 | 10 minutes (together) |
| Aptitude | 5 | 5 | |
| Total | 100 | 100 | 2 hours |
Computer-based test with a fixed time for each section. MPCEA is for B.Tech programmes in general; BPCEA (Biology instead of Maths) leads only to the biology-linked B.Tech programmes VIT lists, such as Biotechnology and Bioinformatics.
Algebra of matrices, Determinants and its properties – Adjoint and inverse of a square matrix using determinants and elementary transformations – Rank, Test of consistency and solution of simultaneous linear equations up to three variables –Solution of Linear Programming problem in two variables, Simple applications. - Theory of equations, Cubic, Biquadratic equations, and solutions.
Fundamentals of Trigonometry, Trigonometric, inverse Trigonometric functions and their properties, heights and distances Complex number system – conjugate, properties, ordered pair representation. Argand diagram, Algebra of complex numbers, modulus and argument (or polar form) of a complex number. Solution of polynomial equations – De Moivre’s theorem, and its applications. Roots of a complex number – Cube and fourth roots.
Coordinate geometry – Equation of a straight line and family of straight lines -Properties Definition of a conic – general equation of a conic, classification with respect to the general equation of a conic and eccentricity. Equations of conic sections (parabola, ellipse and hyperbola) in standard forms and general forms – Directrix, Focus and Latus-rectum – parametric form of conics and chords. – Tangents and normal’s – Cartesian form and parametric form – equation of chord of contact of tangents.
Scalar Product and Vector product of two Vectors, properties and applications–Scalar and Vector triple product – Properties.
Coordinates of a point in space, the distance between two points, section formula, directions ratios and direction cosines, the angle between two intersecting lines. Skew lines, the shortest distance between them and its equation. Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines.
Limits, continuity and differentiability of functions – properties – applications: tangent, normal and angle between curves. - Rate of change of quantities Mean value theorems – Rolle’s Theorem, Lagrange’s, Cauchy’s Mean Value Theorems, Taylor’s and Maclaurin’s series, stationary points, increasing, decreasing, minima and maxima, functions of one variable, concavity and points of inflexion-Errors and approximations.
Indefinite integrals, Simple definite integrals – fundamental theorems of calculus, properties of definite integrals, Reduction formulae – Area of bounded regions, length of the curves.
Differential equations – formation, order and degree. Solution of first order differential equations: Variables separable, Homogeneous, Linear, Bernoulli’s equations, and applications.
Basics of Probability – Axioms – Addition law – Conditional probability – Multiplicative law – Baye’s Theorem. Random variables–Probability density function, distribution functions, mathematical expectation, variance – Measures of central tendency, Dispersion – Grouped and ungrouped Data.
Sets – Relations – Functions – Binary Operations and Types. Sequence and series (AP, GP, HP) – Binomial Theorem – Counting Techniques, Product rule, Permutations and Combinations Mathematical logic – logical statements, connectives, truth tables, logical equivalence, tautology, contradiction, Contingency.
SI units; dimensions and dimensional analysis; significant figures; least count and zero error; systematic and random errors; absolute, relative and percentage uncertainty; simple uncertainty calculation. Graphical interpretation.
Motion in one and two dimensions; displacement, velocity and acceleration; motion graphs; relative motion; projectile and circular motion. Newton’s laws; free-body diagrams; equilibrium; friction; inclined planes; connected bodies and ideal pulleys. Inertial and uniformly accelerating frames.
Work by constant and simple variable forces; kinetic and potential energy; power; conservative and dissipative forces; energy conservation. Impulse; momentum conservation; centre of mass; elastic and inelastic collisions in one and two dimensions; coefficient of restitution; simple potential-energy diagrams.
Angular motion; torque; angular momentum; rotational energy; moments of inertia of standard uniform bodies; parallel-axis and perpendicular-axis theorems. Static equilibrium, fixed-axis rotation and rolling without slipping. Gravitation; field and potential; variation of gravitational acceleration with altitude; Kepler’s laws; circular satellite orbits, orbital energy, geostationary satellites and escape velocity.
Stress and strain; Hooke’s law; elastic moduli and elastic energy. Fluid pressure; Pascal’s principle; buoyancy and flotation. Continuity and Bernoulli relations; viscosity; Stokes drag and terminal speed; qualitative laminar and turbulent flow. Surface tension, surface energy, and capillary effects.
Simple harmonic motion: phase, displacement, velocity, acceleration and energy. Spring–mass systems, spring combinations and the simple pendulum (small angle approximation). Qualitative damping, forced oscillations and resonance. Travelling waves; superposition; reflection; standing waves in strings and air columns; harmonics; beats; speed of sound; elementary Doppler effect in sound.
Temperature, equilibrium and expansion; calorimetry, heat capacities, latent heat and phase changes. Conduction, qualitative convection, thermal radiation, Stefan–Boltzmann and Wien relations and Newtonian cooling. Ideal gases; kinetic theory; RMS speed; equipartition and heat capacities. First law; standard thermodynamic processes; pressure–volume diagrams; second law; reversibility; heat engines, refrigerators and Carnot limits. Entropy.
Charge; Coulomb interaction; superposition; electric field, potential and energy; dipoles. Simple uniform charge distributions; electric flux; Gauss’s law in symmetric cases. Conductors in electrostatic equilibrium and shielding. Parallel-plate capacitance; dielectrics; capacitor combinations; stored energy; fixed-charge and fixed-voltage situations.
Current and drift speed; resistance, resistivity and temperature dependence; Ohmic and non-Ohmic behaviour. Electrical energy and power; emf and internal resistance; resistor and cell combinations. Kirchhoff’s laws; simple networks; Wheatstone bridge, metre bridge and potentiometer; Galvanometer and its conversion to ammeter and voltmeter.
Magnetic forces on charges and currents; circular and helical charged-particle motion; simple crossed-field applications. Fields of straight wires, circular loops and long solenoids; elementary Biot–Savart and Ampere applications. Forces between currents; magnetic dipoles; torque and energy. Qualitative properties of dia-, para-, and ferro - magnetic materials.
Magnetic flux; Faraday’s and Lenz’s laws; motional induction; eddy currents; inductance and magnetic energy. Elementary RC charging and discharging. Sinusoidal AC; peak and rms values; reactance, impedance, phase, series RLC resonance and average power. Ideal generators and transformers. Electromagnetic-wave characteristics, spectrum and applications.
Reflection and refraction at plane and spherical surfaces; mirrors; thin lenses; lens-maker formula; magnification; lens combinations. Total internal reflection; prisms and dispersion; elementary microscopes and telescopes. Wavefronts and Huygens principle; coherence; Young’s double-slit interference; single-slit diffraction; linear polarization; Malus’s and Brewster’s laws.
Dual nature of radiation and matter; photoelectric effect; Matter waves; de Broglie relation. Rutherford scattering; Bohr’s model, hydrogen-like atom; energy levels and spectra. Nuclear composition; isotopes; mass defect; binding energy; mass–energy equivalence; radioactive decay, half-life, mean life and activity; fission, fusion and reaction energy.
Energy bands in solids; conductors, insulators and semiconductors; semiconductor diode and its I-V characteristics; Diode as a rectifier; I-V characteristics of LED, photodiode, solar cell and Zener diode; elementary logic gates (NOT, AND, OR, NAND, XOR, NOR, and XNOR).
Atomic Structure - Bohr’s atomic model-Sommerfeld’s extension of atomic structure; Electronic configuration and Quantum numbers; Shapes of s, p, d, f orbitals - Pauli’s exclusion principle - Hund’s rule of maximum multiplicity - Aufbau principle. Emission and absorption spectra, line and band spectra; Hydrogen spectrum – Lyman, Balmer, Paschen, Brackett and Pfund series; de Broglie’s theory; Heisenberg’s uncertainty principle – wave nature of electron – Schrӧdinger wave equation (No derivation). Eigenvalues and eigenfunctions. Valence electrons, ionic bond, covalent bond, bond parameters, Lewis structure, polar character of covalent bond, covalent character of ionic bond, valence bond theory, resonance, geometry of covalent molecules, VSEPR theory, concept of hybridization involving s, p and d orbitals and shapes of some simple molecules, molecular orbital theory of homonuclear diatomic molecules (qualitative level). Hydrogen bond. Thermodynamics - Zeroth law of thermodynamics – I and II Laws of thermodynamics – internal energy and enthalpy, heat capacity and specific heat, measurement of ΔU and ΔH, Hess’s law of constant heat summation, enthalpy of: bond dissociation, combustion, formation, atomization, sublimation, phase transition, ionization, solution and dilution. Introduction of entropy as a state function, Second law of thermodynamics, Gibbs energy change for spontaneous and non-spontaneous process, criteria for equilibrium. Third law of thermodynamics (brief introduction). Chemical Kinetics - Rate of a chemical reaction, factors affecting rates of reaction: concentration, temperature, pressure and catalyst; Law of mass action – Rate expression, order, and molecularity of reactions, zero order, first order and pseudo first order reaction – half-life period. Determination of rate constant and order of reaction. Temperature dependence of rate constant – Arrhenius equation, activation energy and its calculation; elementary concept of collision theory of bimolecular gaseous reactions.
Electrochemistry - Redox reactions; Theory of electrical conductance; metallic and electrolytic conductance. Faraday’s laws – theory of strong electrolytes – Specific resistance, specific conductance, equivalent and molar conductance – Variation of conductance with dilution – Kohlrausch’s Law – Ionic product of water, pH, and pH – buffer solutions – use of pH values. Cells – Electrodes and electrode potentials – construction of cell, EMF values and standard electrode potentials, Nernst equation and its application to chemical cells. Relation between Gibbs energy change and EMF of a cell, dry cell, electrolytic cells and Galvanic cells; lead accumulator; Fuel cells, Corrosion, and its prevention. Chemical Equilibrium - Equilibrium in physical and chemical processes, dynamic nature of equilibrium, law of mass action, equilibrium constant, factors affecting equilibrium – Le Chatelier’s principle; ionic equilibrium – ionization of acids and bases, strong and weak electrolytes, degree of ionization, ionization of polybasic acids, acid strength, concept of pH, Hydrolysis of salts (elementary idea), buffer solutions, Henderson equation, solubility product, common ion effect (with illustrative examples). Solutions - Colligative properties of dilute solutions; Different methods for expressing the concentration of solution - molality, molarity, mole fraction, percentage, the vapour pressure of solutions and Raoult's Law - Ideal and non-ideal solutions, vapour pressure - composition, plots for ideal and non-ideal solutions. Environmental Chemistry - Environmental pollution - Atmospheric, water and soil.
Modern periodic law and present form of the periodic table, s, p, d and f block elements, periodic trends in properties of elements atomic and ionic radii, ionization enthalpy, electron gain enthalpy, valence, oxidation states and chemical reactivity. The s-block elements – properties and chemical reactivity of alkali and alkaline earth metals. The p-block elements – Group 13 to Group 18 elements – General Introduction: Electronic configuration and general trends in physical and chemical properties of elements across the periods and down the groups, unique behaviour of the first element in each group. Boron physical and chemical properties, some important compounds: borax, boric acids, boron hydrides. Aluminium: uses, reactions with acids and alkalies. Carbon - catenation, allotropic forms, physical and chemical properties; Important compounds of silicon and a few uses: silicon tetrachloride, silicones, silicates and zeolites, their uses. Compounds of nitrogen: preparation and properties of ammonia and nitric acid, oxides of nitrogen (structure only); Phosphorous-allotropic forms; compounds of phosphorous: preparation and properties of phosphine, halides (PCl3, PCl5) and oxoacids (elementary idea only). Dioxygen: preparation, properties and uses; classification of oxides; ozone. Sulphur – allotropic forms; compounds of sulphur: preparation, properties and uses of sulphur dioxide; sulphuric acid: industrial process of manufacture, properties and uses, oxoacids of Sulphur (structures only). Compounds of halogens: preparation, properties and uses of chlorine and hydrochloric acid, interhalogen compounds, oxoacids of halogens (structures only). General characteristics of d–block elements, Lanthanides & Actinides The d–block elements - Electronic Configuration – Oxidation states of first row transition elements and their colours. Occurrence and principles of extraction: Copper, Silver, Gold and Zinc. Preparation and properties of CuSO4, AgNO3 and K2Cr2O7. Lanthanides – Introduction, electronic configuration, general characteristics, oxidation state – lanthanide contraction, uses, brief comparison of Lanthanides and Actinides.
Coordination Compounds - IUPAC nomenclature of mononuclear coordination compounds; Isomerism, Geometrical isomerism in 4-coordinate, 6-coordinate complexes. Theories on coordination compounds – Werner’s theory (brief), Valence Bond theory & CFT (basic ideas of Crystal field theory, colour and magnetic properties), importance of coordination compounds. Uses of coordination compounds. Bioinorganic compounds (Haemoglobin and chlorophyll). Solid-State Chemistry and Surface Chemistry – Classification of solids based on different binding forces: molecular, ionic, covalent and metallic solids, amorphous and crystalline solids (elementary idea), unit cell in two dimensional and three dimensional lattices, calculation of density of unit cell, packing in solids, packing efficiency, voids, number of atoms per unit cell in a cubic unit cell, point defects, electrical and magnetic properties, Band theory of metals, conductors, semiconductors and insulators and n-and p-type semiconductors. Adsorption-physisorption and chemisorption; Catalysis – homogeneous and heterogeneous catalysis. Colloidal state: distinction between true solutions, colloids and suspensions; lyophilic, lyophobic multimolecular and macromolecular colloids; properties of colloids; Tyndall effect, Brownian movement, electrophoresis, coagulation; emulsions – types of emulsions.
Carbon – tetravalency, hybridization; Classification of organic compounds – functional groups; Homologous series; Nomenclature (IUPAC); Homolytic and heterolytic bond cleavage; carbocations, carbanions and free radicals; electrophiles and nucleophiles; Inductive effect, electromeric effect, resonance and hyperconjugation. Common organic reactions - Substitution, addition, elimination and rearrangement. Aromatic hydrocarbon - Aromaticity, electrophilic substitution, halogenation, Friedel-Craft's alkylation and acylation. Isomerism in Organic Compounds: Definition, Classification – structural isomerism, stereo isomerism – geometrical and optical isomerism. Optical activity - chirality – compounds containing chiral centres – R, S notation, D, L notation. Detection of the functional groups in organic compounds: Hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketones) carboxyl and amino groups. Alcohols and Ethers - Nomenclature of alcohols – Classification of alcohols - distinction between primary, secondary and tertiary alcohols – General methods of preparation of primary alcohols, properties. Methods of preparation of dihydric alcohols: Glycol – Properties – Uses. Methods of preparation of trihydric alcohols - Properties – Uses. Aromatic alcohols – preparation and properties of phenols and benzyl alcohol; Ethers – Nomenclature of ethers – general methods of preparation of aliphatic ethers - Properties – Uses. Aromatic ethers – Preparation of Anisole – Uses. Aldehydes and Ketones - Nomenclature of carbonyl compounds – Comparison of aldehydes and ketones. General methods of preparation of aldehydes – Properties – Uses. Aromatic aldehydes – Preparation of benzaldehyde – Properties and Uses. Ketones – general methods of preparation of aliphatic ketones (acetone) – Properties – Uses. Aromatic ketones – preparation of acetophenone – Properties – Uses, preparation of benzophenone – Properties. Name reactions; Clemmensen reduction, Wolff–Kishner reduction, Cannizzaro reaction, Claisen-Schmidt reaction, Benzoin Condensation, Aldol Condensation and Haloform reaction. Preparation and applications of Grignard reagents.
Carboxylic Acids and their derivatives - Nomenclature – Preparation of aliphatic monocarboxylic acids – formic acid – Properties – Uses. Monohydroxy mono carboxylic acids; Lactic acid – Synthesis of lactic acid. Aliphatic dicarboxylic acids; Preparation of oxalic and succinic acids. Aromatic acids: Benzoic and Salicylic acids – Properties – Uses. Derivatives of carboxylic acids; acetyl chloride (CH3COCl) – Preparation – Properties – Uses. Preparation of acetamide, Properties – acetic anhydride – Preparation, Properties. Preparation of esters – methyl acetate – Properties Organic Nitrogen Compounds - Aliphatic nitro compounds – Preparation of aliphatic nitroalkanes – Properties – Uses. Aromatic nitro compounds – Preparation – Properties – Uses. Distinction between aliphatic and aromatic nitro compounds. Amines; aliphatic amines – General methods of preparation – Properties – Distinction between primary, secondary and tertiary amines. Aromatic amines – Synthesis of benzylamine – Properties, Aniline – Preparation – Properties – Uses. Differences between aliphatic and aromatic amines. Aliphatic nitriles – Preparation – properties – Uses. Diazonium salts – Preparation of benzene diazonium chloride – Properties. Biomolecules and Polymers Carbohydrates – Distinction between sugars and non-sugars, structural formulae of glucose, fructose, and sucrose, with their linkages, invert sugar – definition, examples of oligo and polysaccharides. Amino acids and Proteins – Classification of amino acids with examples, Peptides - properties of peptide bond; Proteins - primary, secondary, tertiary and quaternary structure (qualitative idea only), denaturation of proteins, enzymes. Lipids - Definition, classification with examples, difference between fats, oils, and waxes. Nucleic acids – Chemical constitution of DNA and RNA. Vitamins - Types and Function. Polymers - Natural and synthetic polymers, methods of polymerization (addition and condensation), copolymerization. Some important polymers: natural and synthetic like polythene, nylon, polyesters, Bakelite, rubber. Biodegradable and non-biodegradable polymers. Chemistry in Everyday Life – Chemicals in medicines – analgesics, tranquilizers, antiseptics, disinfectants, antimicrobials, antifertility drugs, antibiotics, antacids, antihistamines. Chemicals in food – preservatives, artificial sweetening agents, elementary idea of antioxidants. Cleansing agents – soaps and detergents, cleansing action.
Need for classification; three domains of life. Linnaean, Whittaker, Bentham and Hooker systems of classification. Salient features and classification of non-chordates up to phylum level and chordates up to class level. Morphology and anatomy of flowering plants. Structural organization in insects (cockroach).
Cell theory. Prokaryotic cell and it’s ultrastructure. Eukaryotic cell-cell wall, cell membrane, cytoskeleton, nucleus, chloroplast, mitochondria, endoplasmic reticulum, Golgi bodies, ribosomes, lysosomes, vacuoles and centrosomes. Cell cycle and division - amitosis, mitosis and meiosis. Search for genetic material; structure of DNA and RNA; replication, transcription, genetic code, translation, splicing, gene expression and regulation (lac operon) and DNA repair.
Asexual reproduction – binary fission, sporulation, budding, gemmule formation and fragmentation, Vegetative propagation in plants. Sexual reproduction in flowering plants - structure of flowers. Pollination, fertilization, development of seeds and fruits, seed dispersal, apomixis, parthenocarpy and poly-embryony. Human reproductive system - Gametogenesis, menstrual cycle, fertilization, implantation, embryo development upto blastocyst formation, pregnancy, parturition and lactation. Reproductive health and assisted reproductive technologies.
Chromosomes - structure and types, linkage and crossing over, recombination of chromosomes, mutation and chromosomal aberrations. Mendelian inheritance, chromosomal theory of inheritance, deviation from Mendelian ratio (incomplete dominance, co-dominance, multiple allelism, pleiotropy), sex linked inheritance and sex determination in humans. Mendelian disorders in humans-thalassemia. Darwinism, neo Darwinism, mechanism of evolution - variation (mutation and recombination), Hardy and Weinberg’s principle and factors affecting the genetic equilibrium: selection, mutation, migration and random genetic drift.
Pathogens, parasites causing human diseases (malaria, dengue, chikungunya, filariasis, COVID, ascariasis, typhoid, pneumonia, common cold, amoebiasis, ringworm) and their control. Basic concepts of immunology, vaccines, antibiotics, cancer, HIV and AIDS. Adolescence, drug and alcohol abuse.
Structure and function of carbohydrates, lipids and proteins. Enzymes – types, properties and enzyme action. Metabolism - glycolysis, fermentation and Krebs cycle.
Movement of water, food, nutrients, gases and minerals. Passive diffusion, facilitated diffusion, and active transport. Imbibition, osmosis, apoplast and symplast transport and guttation. Macro and micronutrients and their deficiency symptoms. Transpiration, photosynthesis (light and dark reactions) and electron transport chain. Hormones and growth regulators, photo-periodism and vernalization. Movements in plants, Nitrogen cycle and biological nitrogen fixation.
Digestion and absorption, breathing and respiration, body fluids and circulation, excretory system, endocrine system, nervous system, skeletal and muscular systems. Locomotion and movement, growth, aging and death. Hormones - types of hormones, functions and hormonal disorders (hypersecretion and hyposecretion).
Recombinant DNA technology, applications in health, agriculture and industries; genetically modified organisms; Human insulin, vaccine and antibiotic production. Stem cell technology and gene therapy. Apiculture and animal husbandry. Plant breeding, tissue culture, single cell protein, fortification, Bt crops and transgenic animals. Microbes in food processing, sewage treatment, waste management and energy generation. Biocontrol agents and biofertilizers. Bio-safety issues, biopiracy and patents. Human and rice genome projects. DNA fingerprinting.
Ecosystems: components, types, pyramids, nutrient cycles (carbon and phosphorus), ecological succession and energy flow in an ecosystem; Biodiversity - concepts, patterns, importance, conservation, hotspots, endangered organisms, extinction, Red data book, botanical gardens, national parks, sanctuaries, museums, biosphere reserves and Ramsar sites. Environmental issues: pollution and its control. Solid and radioactive waste management. Climate change impact and its mitigation. Population attributes - growth, birth and death rate and age distribution.
Tabular Chart, Pie Chart, Bar Chart, Line Graph, Mixed Charts
All topics combined
2 statements and 2 conclusions, 3 statements and 2 conclusion, 2 statements and 4 conclusions, 3 statements and 4 conclusions, 3 statement and 3 conclusions
Number series, Letter to Letter Coding, Letter to Number Coding, Mixed coding
Mirror image of the clock, Angle based questions, Gain or loss per day, finding days/dates, finding odd days, Occurrence of same calendar year, Directions faced with respect to the starting point, Distance between two points
Multiple Choice Questions to test the comprehension of a short passage or line of poems, English grammar, and pronunciation. Please note that the passages, lines of poems, dialogues, grammar, and pronunciation items are chosen to suit the level of higher secondary or equivalent education.
| Subject | Questions | Marks |
|---|---|---|
| Mathematics | 40 | 120 |
| Physics | 25 | 75 |
| Chemistry | 20 | 60 |
| Quantitative Aptitude | 10 | 30 |
| English | 5 | 15 |
| Total | 100 | 300 |
150 minutes (2.5 hours), computer-based, in English; +3 for a correct answer and −1 for a wrong one. No calculator, including the on-screen one. This is the AEEE 2026 pattern, which Amrita’s 2027 page still shows; its 2027 page also lists the same five subjects.
Sets and their representation: Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Type of relations, equivalence relations, functions; one-one, into and onto functions, the composition of functions.
Complex numbers in the form a+ib and their representation on a plane. Argand diagram. Algebra of complex numbers, Modulus and argument (or amplitude) of a complex number, square root of a complex number. Cube roots of unity, triangle inequality.
Fundamental principle of counting; Permutation as an arrangement and combination as selection, simple applications.
Binomial theorem for positive integral indices. General and middle terms in binomial expansions, simple applications.
Arithmetic, Geometric and Harmonic progressions. Insertion of Arithmetic, Geometric and Harmonic means between two given numbers. Relation between A.M., G.M. and H.M. Special series ∑n, ∑n2, ∑n3.Arithmetico-Geometric Series, Exponential and Logarithmic Series.
Determinants and matrices of order two and three, Properties of determinants. Evaluation of determinants. Addition and multiplication of matrices, adjoint and inverse of matrix. Solution of simultaneous linear equations using determinants.
Quadratic equations in real and complex number system and their solutions. Relation between roots and coefficients, Nature of roots, Formation of quadratic equations with given roots.
Trigonometrical identities and equations. Inverse trigonometric functions and their properties. Properties of triangles including centroid, incentre, circumcentre and orthocentre, Solution of triangles. Heights and distances.
Calculation of Mean, Median and Mode of grouped and ungrouped data, Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.
Probability of an event, addition and multiplication theorems of probability and their applications; Conditional probability; Bayes’ theorem, Probability distribution of a random variate; Binomial and Poisson distributions and their properties.
Polynomials, rational, trigonometric, logarithmic and exponential functions; Graphs of simple functions, Limits, Continuity; Differentiation of the sum, difference, product and quotient of two functions; Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; Derivatives of order upto two, Applications of derivatives; Maxima and Minima of functions one variable, tangents and normals, Rolle’s and Langrage’s Mean Value Theorems.
Integral as an anti-derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions; Integration by substitution, by parts and by partial fractions; Integration using trigonometric identities; Integral as a limit of sum; Properties of definite integrals. Evaluation of definite integral; Determining areas of the regions bounded by simple curves.
Ordinary differential equations, their order and degree; Formation of differential equation; Solutions of differential equations by the method of separation of variables; Solution of Homogeneous and linear differential equations of first order.
Review of Cartesian system of rectangular co-ordinates in a plane, distance formula, area of triangle, condition for the collinearity of three points, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.
Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, distance of a point from a line. Equations of internal and external bisectors of angles between two lines, equation of family lines passing through the point of intersection of two lines, homogeneous equation of second degree in x and y, angle between pair of lines through the origin, combined equation of the bisectors of the angles between a pair of lines, condition for the general second degree equation to represent a pair of lines, point of intersections and angles between two lines.
Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle in the parametric form, equation of a circle when the end points of a diameter are given, points of intersection of a line and circle with the centre at the origin and condition for a line to be tangent, equation of a family of circles through the intersection of two circles, condition for two intersecting circles to be orthogonal.
Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, conditions for y = mx+c to be a tangent and point(s) of tangency.
Vector and scalars, addition of two vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products, scalar and vector triple product. Application of vectors to plane geometry.
Distance between two points. Direction cosines of a line joining two points. Cartesian and vector equation of a line. Coplanar and skew lines. Shortest distance between two lines. Cartesian and vector equation of a plane. Angle between (i) two lines (ii) two planes (iii) a line and a plane. Distance of a point from a plane.
Units for measurement, system of units, SI, fundamental and derived units, dimensional analysis.
Uniform and non-uniform motion, average speed and instantaneous velocity, uniformly accelerated motion, velocity - time, position-time graph, relations for uniformly accelerated motion, Scalars and Vectors, Vector. Addition and subtraction, zero vector, scalar and vector products, Unit Vector, Resolution of a Vector. Relative Velocity, Motion in a plane, Projectile Motion, Uniform Circular Motion.
Motion in one-dimension, uniform and non-uniform motion, uniformly accelerated motion; Scalars and Vectors, resolution of Vectors, vector properties. Motion in a plane, Projectile motion, Uniform circular motion. Newton’s laws of motion, conservation of linear momentum, Friction; Work-Energy theorem, kinetic energy, potential energy, conservation of energy; elastic collision in one and two dimensions. Center of mass of a system of particles, centre of mass of a rigid body, rotational motion and torque, angular momentum and its conservation, moments of inertia for various geometries, parallel and perpendicular axes theorem. Universal law of gravitation, acceleration due to gravity, planetary motion, Kepler’s laws, Satellites, gravitational potential and potential energy and escape velocity.
Solids: Elastic properties, Hooke’s law, Young’s modulus, bulk modulus, rigidity modulus. Liquids: Cohesion and adhesion; surface energy and surface tension; flow of fluids; Bernouli’s theorem and applications; viscosity, Stoke’s law, terminal velocity
Oscillations: Oscillatory motion - periodic and non-periodic motion; simple harmonic motion (SHM), angular SHM, linear harmonic oscillator – both horizontal and vertical; combination of springs – series and parallel, simple pendulum; Expression of energy – potential energy, kinetic energy and total energy; Graphical representation of SHM; Types of oscillations – free, damped, maintained and forced oscillations and resonance. Wave Motion: Properties of waves; Transverse and Longitudinal waves; Superposition of waves, Progressive and Standing waves; Vibration of strings and air columns, beats, Doppler Effect.
Heat, work and temperature; Ideal gas laws; Specific heat capacity, Thermal expansion of solids, liquids and gases, Relationship between Cp and Cv for gases; Newton’s law of cooling, black body, Kirchoff’s law, Stafan’s law and Wein’s law, thermodynamic equilibrium, internal energy; Zeroth, first and second law of thermodynamics, thermodynamic processes, Carnot cycle, efficiency of heat engines, refrigerator
Electric charges and Fields: Electric Charge; Conductors and Insulators, Charging by Induction, Basic Properties of Electric Charge, Coulomb’s Law, Forces between Multiple Charges, Electric Field, Electric Field Lines, Electric Flux, Electric Dipole, Dipole in a Uniform External Field, Continuous Charge Distribution, Gauss’s Law, Applications of Gauss’s Law. Electrostatic potential and Capacitance: Electrostatic potential, Potential due to a point charge, electric dipole, system of charges. Equipotential surfaces; Potential energy of a system of charges, potential energy in an external field, Electrostatics of conductors, Dielectric and Polarization, Capacitors and Capacitance, parallel plate capacitor, effect of dielectric on capacitance combination of capacitors, energy stored in a capacitor, Van de Graaff Generator. Current Electricity: Electric current, electric currents in conductors, Ohm’s law, drift of electrons and the origin of Resistivity, temperature dependence of resistivity, electrical energy, power, combination of resistors, series and parallel, cells, emf, internal resistance, cells in series and in parallel, Kirchhoff’s Rules, Wheatstone bridge, Meter bridge, potentiometer. Heating effects of current: Electric power; concept of thermoelectricity – Seebeck effect and thermocouple, chemical effect of current – Faraday’s laws of electrolysis. Magnetic effects: Oersted’s experiment, BiotSavart’s law, magnetic field due to a straight wire, circular loop and solenoid, force on a moving charge in a uniform magnetic field (Lorentz force), forces and torques on a current carrying conductor in a magnetic field, force between current carrying wires, moving coil galvanometer and conversion to ammeter and voltmeter. Magneto statistics: Bar magnet, magnetic field, lines of force, torque on a bar magnet in a magnetic field, earth’s magnetic field; para, dia, and ferro magnetism, magnetic induction and magnetic susceptibility.
Electromagnetic Induction: Induced e. m. f: Magnetic flux, Faraday’s law, Lenz’s Law and Conservation of Energy, self and mutual inductance. Alternating Current: Impedance and reactance; power in AC circuits; AC voltage applied to resistor, inductor, capacitor, LCR circuits and resonance, transformer and AC generator. Electromagnetic Waves: Electromagnetic waves characteristics, electromagnetic spectrum from gamma to radio waves.
Equation of state of a perfect gas, work done on compressing a gas, Kinetic theory of gases - assumptions, the concept of pressure. Kinetic energy and temperature: RMS speed of gas molecules: Degrees of freedom. Law of equipartition of energy, applications to specific heat capacities of gases; Mean free path. Avogadro's number.
Ray Optics and optical instruments: Reflection and refraction of light by plain spherical mirrors - Total Internal Reflection; optical fiber; deviation and dispersion of light by a prism; lens formula; magnification and resolving power; microscope and telescope. Wave Optics: Huygens principle: Wave nature of light, interference of light waves and Young’s experiment, thin films, Newton’s rings, Diffraction – single slit, grating, Polarization and applications.
Dual nature of radiation and matter: De Broglie relation, Electron emission, photoelectric effect, experimental study, Einstein’s photoelectric equation: Energy quantum of radiation; particle nature of light, the photon, wave nature of matter. Atoms: Alpha-particle scattering and Rutherford’s nuclear model of atom, atomic spectra, Bohr model of the hydrogen atom; the line spectra of the hydrogen atom. Nuclei: Atomic masses and composition of nucleus; size of the nucleus; mass-energy and nuclear binding energy; nuclear force; radioactivity; nuclear energy Semiconductor materials, devices and simple circuits: Energy bands in solids; classification of metals, conductors and semiconductors; intrinsic semiconductor, extrinsic semiconductor, p-n junction, semiconductor diode, junction diode as a rectifier, junction transistor, transistor as an amplifier.
Density - mole concept - empirical and molecular formula – stoichiometry - volumetry, equivalent and molecular masses, percentage composition
atomic models, sub-atomic particles, orbital shapes, Pauli’s exclusion, Hund’s rule, Aufbau principle, de-Broglie relation, Heisenberg’s uncertainty, electronic configuration and periodic properties.
Ionic bonding, lattice energy – Born-haber cycle, covalent bond - Fajan’s Rule –VSEPR theory -- hybridization, valence bond and molecular orbital theory, coordinate, metallic and hydrogen bonding
Hydrogen, isotopes, liquid hydrogen as fuel, alkali metals, oxides and hydroxides, extraction and properties of lithium, sodium and potassium. Group 2 elements and their properties.
Boron - borax, boranes, diboranes, Carbon - allotropes, oxides, carbides, halides and sulphides of carbon group-silicon and silicates – silicones, Nitrogen – Fixation – compounds of nitrogen-Phosphorous – allotropes and compounds. Oxygen - oxides and peroxide. Sulphur – its compounds - inter-halogen compounds.
d-block elements configuration and properties - transition elements, chromium, copper, zinc, silver, interstitial compounds and alloys, f - block elements and extraction, lanthanides and actinides
Solids - amorphous and crystalline, classification of crystalline - unit cell, Miller indices - packing efficiency, unit cell dimensions, crystal structure, ionic crystals, imperfections in solids, electric and magnetic properties.
Terminology in coordination-isomerism, Werner, VBT, CFT theories - Bio-coordination compounds.
Gaseous state and gas laws, deviation-van der Waal’s constants - Joule-Thomson effect - liquefaction of gases, theory of catalysis, colloids and emulsions.
Lowering of vapour pressure, Depression of freezing point, Elevation in boiling point, Osmotic pressure, abnormality - dissociation and association
Faraday’s laws - specific, equivalent and molar conductance, Kohlraush’s law and applications-electrode potentials - EMF, electrochemical and galvanic cells, Nernst equation, batteries, fuel cells, corrosion and its prevention.
First and second law-internal energy, enthalpy, entropy, free energy changes– specific heats at constant pressure and constant volume – enthalpy of combustion, formation and neutralization, Kirchoff law – Hess’s law - bond energy
Law of chemical equilibrium, homogenous and heterogeneous equilibrium, Le Chatlier’s principle, equilibrium constants, factors affecting-Ionic equilibrium, ionization of acids and bases, buffer solutions, pH -solubility of sparingly soluble salts
Order, molecularity, rate and rate constant – first and second order reactions - temperature dependence, factors influencing rate of reaction, integrated rate equation, collision theory of chemical reaction
Classification, functional groups, nomenclature and isomerism, types of organic reactions, mechanism, purification, qualitative and quantitative analysis carbocation, carbanion and free radical, electron displacement in covalent bond.
IUPAC nomenclature, alkanes –alkynes – aromatic hydrocarbons-nomenclature, preparation, physical and chemical property uses. Polymerization – types, molecular mass, biodegradable and commercial polymers.
Nature of C-X bond - preparation - properties and reactions of alkyl and aryl halides-polyhalogen compounds - substitution and elimination – mechanism-Grignard reagents.
Preparation - properties and uses of Aliphatic and aromatic nitro compounds --aliphatic and aromatic amines, nitriles, Diazonium salts. – 1°, 2°, and 3° amines – distinction - Optical activity.
Nomenclature, preparation, properties and uses of alcohols, ethers, aldehydes, ketones, aliphatic carboxylic acids, benzoic acid - salicylic acid.
Carbohydrates, proteins, amino acids - enzymes, vitamins, and nucleic acids - lipids. Pollution. - air, water and soil - industrial waste, acid rain, greenhouse effect, global warming, Strategies to control pollution.
Articles, Synonyms, Antonyms, Preposition, Verbs.
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💬 Ask on WhatsAppMathematics (10 units, from matrices to discrete mathematics) or Biology (10 units), Physics (14 units), Chemistry (6 units), Aptitude (5 topics) and English (comprehension, grammar and pronunciation), as published by VIT for VITEEE 2027.
100 questions in 2 hours: Mathematics or Biology 40, Physics 25, Chemistry 25, English 5 and Aptitude 5, with a fixed time for each section.
Not as of 21 October 2026. The latest official syllabus is in the AEEE 2026 Information Handbook, which this page reproduces unit by unit.
100 questions in 150 minutes: Mathematics 40, Physics 25, Chemistry 20, Quantitative Aptitude 10 and English 5, for 300 marks; +3 for a correct answer and -1 for a wrong one.
It covers the same Class 11-12 Physics, Chemistry and Mathematics ground, organised into broader units, plus short English and Aptitude sections that JEE Main does not have.
Sources: VIT’s subject-wise VITEEE 2027 syllabus documents linked from its official VITEEE 2027 page, and Amrita Vishwa Vidyapeetham’s AEEE 2026 Information Handbook (Appendix II), both read on 21 October 2026. Topic text is reproduced as published. College Path is independent of VIT and Amrita; confirm on the university website before the exam.