VITEEE Syllabus 2027 (Released) - VIT Physics, Chemistry, Mathematics Syllabus PDF

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.

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.

Rotational Dynamics and Gravitation

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.

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 nonspontaneous 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.

Analytical Chemistry

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.

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.

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.

• Bioinformatics Lab I
• Bioinformatics Lab II
• Bioinformatics Lab III
• Central Instrumentation lab
• SEM Lab
• Biochemistry & Immunology Lab
• Cell & Molecular Biology Lab
• Bio Process Lab & Down Stream
• Bio Process Lab & Down Stream
• Stem Cell Lab
• Tissue Culture Lab
• High Throughput Screening Lab
• Animal House
• Histopathology Lab

• UV Transmitter
• Deep Freezer
• Fume wood
• Rotary Evaporator
• Ice Maker
• Milli Q
• Sonicator
• Viscometer
• Lyophillizer
• Gel Documentation
• UV Spec
• Elisa Reader
• Deep Freezer -80
• Gas Chromatography
• HPLC
• Inverted Microscope
• Nano drop

Electrostatics and Current Electricity

10%

Magnetic Effects of Current and Magnetism

8%

Electromagnetic Induction and Alternating Current

8%

Optics (Ray and Wave)

7%

Properties of Matter

7%

Dual Nature of Matter and Radiation

6%

Thermodynamics

6%

Nuclear Physics

6%

Laws of Motion

5%

Work, Energy, and Power

5%

Gravitation

5%

Mechanics of Solids and Fluids

5%

Oscillations and Waves

5%