TS EAMCET Syllabus 2027: Subject Wise Topics, Chapter Wise Weightage and PDF Download

Types of functions; Definitions; Inverse functions and theorems; Domain, Range, Inverse of real-valued functions; Graphs of standard functions.

Principle of Mathematical Induction and Theorems; Applications; Problems on divisibility.

Types of matrices; Scalar multiple; Multiplication of matrices; Transpose; Determinants; Adjoint and Inverse; Consistency and inconsistency of simultaneous equations.

Vectors as a triad of real numbers; Classification of vectors; Addition; Scalar multiplication; Angle between two non-zero vectors; Linear combinations; Component form; Section formula and applications.

Scalar (dot) product; Angle between vectors; Geometrical interpretation; Vector (cross) product; Scalar triple product; Vector triple product; Applications to geometry.

Trigonometric ratios; Compound angles; Multiple and sub-multiple angles; Sum-to-product and product-to-sum transformations; Graphs of trigonometric functions.

General solutions of trigonometric equations; Particular solutions; Applications of trigonometric equations.

Definitions and properties; Graphs; Principal values; Key identities and their proofs.

Definitions; Hyperbolic identities; Inverse hyperbolic functions; Derivatives.

Sine rule; Cosine rule; Tangent rule; Half-angle formulae; Area of a triangle; In-circle and ex-circle properties.

Definition of locus; Equation of locus; Translation of axes; Rotation of axes; Distance, Section, and Centroid formulae; Area of triangle.

Slope; Various forms of the equation of a line; Distance of a point from a line; Angle between two lines; Concurrent lines; Family of lines.

Combined equation of a pair of lines; Angle between lines; Conditions for parallel and perpendicular lines; Homogeneous equations; General second-degree equation.

Coordinate axes and planes; Distance between two points; Section formula; Centroids; Direction cosines and direction ratios.

Limit of a function; Standard limits; Continuity of a function; Intermediate Value Theorem; Algebra of limits.

First principles; Rules of differentiation; Derivatives of standard functions; Chain rule; Implicit differentiation; Parametric differentiation; Logarithmic differentiation.

Complex number system; Conjugate; Modulus; Argument; Algebra of complex numbers; Polar form; De Moivre’s theorem; Roots of complex numbers; Geometric representation.

Quadratic expressions and equations; Sign of a quadratic; Extreme values; Nature of roots; Relations between roots and coefficients.

Polynomial equations; Remainder and Factor theorems; Relations between roots and coefficients; Newton’s theorem; Transformation of equations; Reciprocal equations.

Fundamental counting principle; Permutations (with and without repetition); Circular permutations; Combinations; Key identities and applications.

Binomial theorem for positive integral index; General term; Middle term; Binomial coefficients; Binomial theorem for rational index.

Partial fractions of rational functions; Non-repeated linear factors; Repeated linear factors; Irreducible quadratic factors.

Mean deviation; Variance; Standard deviation; Coefficient of variation; Analysis of frequency distributions.

Classical and axiomatic probability; Addition theorem; Conditional probability; Multiplication theorem; Total probability; Baye’s theorem; Independent events.

Discrete random variable; Probability distribution; Mean and variance of a distribution; Binomial distribution; Poisson distribution.

Equation of a circle; Intercepts on axes; Parametric equations; Position of a point; Length of tangent; Tangent and normal at a point; Chord of contact; Pole and polar; Conjugate points and lines; Angle between two circles; Common chord; Radical axis.

Conic sections; Equation of parabola; Focus, directrix, vertex, axis, latus rectum; Tangent; Normal; Chord of contact; Parametric equations.

Standard equation of ellipse; Eccentricity; Foci; Directrices; Latus rectum; Auxiliary circle; Tangent; Normal; Parametric equations; Conjugate diameters.

Standard equation; Eccentricity; Foci; Directrices; Asymptotes; Rectangular hyperbola; Tangent; Normal; Conjugate hyperbola.

Indefinite integrals; Standard forms; Integration by substitution; Partial fractions; Integration by parts; Definite integrals; Properties of definite integrals; Reduction formulae.

Order and degree; Formation of differential equations; Variable separable method; Homogeneous equations; Linear first-order equations; Applications (growth, decay, etc.).

Tangents and normals; Rate of change; Increasing and decreasing functions; Maxima and minima; Rolle’s theorem; Lagrange’s Mean Value Theorem; Approximations and errors.

Scope of Physics; Physics and technology; Fundamental forces in nature; Nature of physical laws.

SI units; Derived units; Measurement of length, mass, and time; Accuracy, precision, and errors; Significant figures; Dimensional analysis and applications.

Position-time graph; Speed and velocity; Acceleration; Kinematic equations for uniform acceleration; Relative velocity; Free fall.

Scalars and vectors; Position and displacement vectors; Addition and subtraction of vectors; Resolution; Relative velocity in 2D; Projectile motion; Uniform circular motion.

Newton’s three laws; Inertia; Momentum; Impulse; Conservation of momentum; Equilibrium of concurrent forces; Static and kinetic friction; Circular motion dynamics.

Work done by constant and variable force; Kinetic energy; Work-energy theorem; Potential energy; Conservation of mechanical energy; Power; Elastic and inelastic collisions.

Centre of mass; Torque; Angular momentum; Conservation of angular momentum; Moment of inertia; Parallel and perpendicular axis theorems; Rigid body rotation; Rolling without slipping.

Periodic motion; Simple harmonic motion; Velocity and acceleration in SHM; Force law; Energy in SHM; Simple pendulum; Spring-mass system; Damped and forced oscillations.

Kepler’s laws; Newton’s law of gravitation; Gravitational field and potential; Variation of g with depth and altitude; Orbital velocity; Escape velocity; Geostationary satellites.

Elastic behaviour; Stress and strain; Hooke’s law; Young’s modulus; Bulk modulus; Rigidity modulus; Elastic energy; Applications.

Pressure; Pascal’s law; Archimedes’ principle; Bernoulli’s theorem and applications; Viscosity; Stokes’ law; Surface tension; Capillary rise.

Temperature and heat; Thermal expansion of solids, liquids, and gases; Specific heat capacity; Calorimetry; Change of state and latent heat; Heat transfer: conduction, convection, radiation; Newton’s law of cooling.

Thermal equilibrium; Zeroth, First, and Second Laws of Thermodynamics; Heat engines; Refrigerators; Carnot cycle and efficiency; Entropy.

Molecular nature of matter; Behaviour of gases; Kinetic theory of an ideal gas; RMS speed; Degrees of freedom; Law of equipartition of energy; Mean free path.

Wave motion; Transverse and longitudinal waves; Speed of a wave; Superposition principle; Reflection of waves; Standing waves; Modes of vibration; Beats; Doppler effect.

Reflection at spherical mirrors; Refraction; Snell’s law; Total internal reflection; Refraction at spherical surfaces; Lenses (thin lens formula); Prism; Dispersion; Optical instruments: microscope, compound microscope, telescope.

Huygens’ principle; Reflection and refraction using wave theory; Interference; Young’s double-slit experiment; Diffraction at single slit; Polarisation; Brewster’s law.

Electric charge; Coulomb’s law; Principle of superposition; Electric field; Electric field lines; Electric flux; Gauss’s law and its applications.

Electrostatic potential; Potential due to a point charge, dipole, and system of charges; Equipotential surfaces; Potential energy; Capacitors; Capacitance; Dielectrics; Energy stored in a capacitor.

Electric current; Drift velocity; Ohm’s law; Resistivity; Temperature dependence of resistance; EMF; Internal resistance; Kirchhoff’s laws; Wheatstone bridge; Potentiometer; Metre bridge.

Magnetic force on a charge (Lorentz force); Motion of a charged particle in a magnetic field; Magnetic force on a current-carrying conductor; Torque on a current loop; Biot-Savart law; Ampere’s circuital law; Solenoid and toroid.

Bar magnet; Earth’s magnetic field; Diamagnetic, paramagnetic, and ferromagnetic substances; Hysteresis loop; Permanent magnets and electromagnets.

Faraday’s laws; Lenz’s law; Motional EMF; Self-inductance and mutual inductance; Transformers; Eddy currents.

AC generator; RMS and peak values; Phasors; AC circuits with R, L, C; Series RLC resonance; Power in AC circuits; LC oscillations; Transformers.

Displacement current; Nature and properties of electromagnetic waves; Electromagnetic spectrum (radio, microwave, infrared, visible, UV, X-rays, gamma rays).

Photoelectric effect; Einstein’s photoelectric equation; Threshold frequency; Work function; Wave-particle duality; de Broglie hypothesis; Davisson-Germer experiment.

Alpha-particle scattering experiment; Rutherford’s nuclear model; Bohr’s model; Energy levels; Hydrogen spectrum; Limitations of Bohr’s model.

Atomic masses; Nuclear size; Nuclear binding energy; Mass-energy relation; Nuclear fission and fusion; Radioactivity; Laws of radioactive decay; Half-life; Mean life.

Energy bands; Intrinsic and extrinsic semiconductors; p-n junction; Junction diode; Rectifier circuits; Transistor (npn and pnp); Transistor as amplifier and switch; Logic gates (AND, OR, NOT, NAND, NOR).

Elements of a communication system; Bandwidth of signals and transmission medium; Modulation: AM and FM; AM wave equation; Production and detection of AM signals; Range of communication.

Subatomic particles; Thomson and Rutherford models; Bohr’s model; Quantum mechanical model; Orbitals; Quantum numbers; Aufbau principle; Hund’s rule; Pauli exclusion principle; Electronic configurations.

Dobereiner’s triads; Newlands’ law; Mendeleev’s periodic law; Modern periodic law; s, p, d, f blocks; Periodic trends: atomic radii, ionisation enthalpy, electron gain enthalpy, electronegativity, valence.

Kossel-Lewis approach; Ionic bond; Covalent bond; Bond parameters (length, angle, order, energy); VSEPR theory; Valence bond theory; Hybridisation (sp, sp2, sp3); Molecular orbital theory; Hydrogen bonding.

Mole concept; Molar mass; Avogadro’s number; Empirical and molecular formulae; Limiting reagent; Percentage composition; Calculations based on chemical equations.

Intermolecular forces; Gas laws (Boyle’s, Charles’, Avogadro’s); Ideal gas equation; Dalton’s law of partial pressures; Kinetic theory; Real gases; Van der Waals equation; Liquefaction of gases; Viscosity; Surface tension.

System and surroundings; First law; Internal energy and enthalpy; Hess’s law; Bond enthalpies; Entropy; Spontaneity; Gibbs energy; Second and third laws.

Dynamic equilibrium; Kc and Kp; Le Chatelier’s principle; Ionic equilibrium; Acids, bases, and salts; pH scale; Buffer solutions; Hydrolysis; Solubility product; Common ion effect.

Position of hydrogen in the periodic table; Isotopes; Preparation and properties of H2; Heavy water; Hydrogen peroxide structure and uses; Hydrides.

Alkali metals (Group 1): properties, reactions, compounds (NaOH, Na2CO3, NaHCO3, NaCl); Alkaline earth metals (Group 2): properties, compounds (CaO, Ca(OH)2, CaCO3); Biological importance.

Group 13 (Boron family): Borax, boric acid, aluminium and compounds. Group 14 (Carbon family): Allotropes of carbon; Oxides of carbon; Silicon, silicates, silicones; Zeolites.

IUPAC nomenclature; Isomerism (structural and stereoisomerism); Inductive effect; Resonance; Hyperconjugation; Types of organic reactions; Reactive intermediates (carbocations, carbanions, free radicals).

Alkanes: nomenclature, halogenation, combustion; Alkenes: preparation, addition reactions, Markovnikov’s rule, ozonolysis; Alkynes: preparation, reactions; Arenes: structure of benzene, aromaticity, EAS reactions.

Atmospheric, water, and soil pollution; Ozone layer depletion; Greenhouse effect and global warming; Strategies for control of environmental pollution.

Classification of solids; Crystal lattices and unit cells; Atoms per unit cell; Close-packed structures; Packing efficiency; Voids; Point defects (Schottky, Frenkel); Electrical and magnetic properties.

Types of solutions; Concentration terms (molarity, molality, mole fraction, normality); Vapour pressure; Raoult’s law; Colligative properties (elevation in BP, depression in FP, osmotic pressure, relative lowering of VP); Abnormal molecular masses.

Electrochemical cells; Galvanic cells; EMF; Nernst equation; Equilibrium constant from EMF; Faraday’s laws of electrolysis; Rate of reaction; Order and molecularity; Integrated rate equations; Half-life; Activation energy; Arrhenius equation; Catalysis.

Adsorption (physisorption and chemisorption); Freundlich adsorption isotherm; Catalysis; Homogeneous and heterogeneous catalysis; Colloids; Classification; Preparation; Properties; Emulsions.

d-Block: electronic configurations, variable valency, colour, magnetic properties, catalytic activity; Important compounds: KMnO4, K2Cr2O7. f-Block: lanthanoids and actinoids, properties. Coordination compounds: IUPAC nomenclature, Werner’s theory, bonding (VBT, CFT), isomerism, stability constants.

Nomenclature; Preparation and properties; SN1 and SN2 reactions; Nucleophilic substitution; Elimination reactions; Uses of chloroform, iodoform, freons, DDT.

Alcohols: preparation, properties, dehydration; Phenols: preparation, acidity, reactions; Ethers: nomenclature and preparation; Aldehydes and Ketones: preparation, nucleophilic addition, aldol condensation; Carboxylic Acids: preparation, reactions, acidic strength, derivatives.

Amines: classification, preparation, basic character, reactions; Diazonium salts: preparation and uses; Amino acids: classification, peptide bond; Proteins and enzymes; Cyanides and isocyanides.

Classification of polymers; Addition and condensation polymerisation; Natural rubber; Synthetic polymers: nylon, dacron, bakelite, PVC; Biodegradable polymers.

Carbohydrates: monosaccharides, disaccharides, polysaccharides; Proteins: amino acids, peptide bond, structure and function; Vitamins: classification and deficiency diseases; Nucleic acids: DNA and RNA; Drugs and medicines; Food chemicals; Cleansing agents.

Group 15 (Nitrogen family): N2, ammonia, oxoacids of phosphorus, allotropes of phosphorus. Group 16 (Oxygen family): ozone, allotropes of sulphur, SO2, H2SO4. Group 17 (Halogens): HCl, oxyacids of halogens, interhalogen compounds. Group 18 (Noble gases): occurrence, properties, applications.

The living world; Biological classification; Five-kingdom classification; Algae; Bryophytes; Pteridophytes; Gymnosperms; Angiosperms; Significance of classification.

Morphology: root, stem, leaf, inflorescence, flower, fruit, seed; Anatomy of root, stem, and leaf; Secondary growth in dicots and monocots.

Cell theory; Prokaryotic and eukaryotic cells; Cell organelles (ER, Golgi apparatus, mitochondria, chloroplast, nucleus, vacuole); Cell wall; Plasma membrane; Biomolecules in the cell.

Transport: osmosis, plasmolysis, active and passive transport, transpiration; Mineral nutrition; Photosynthesis: light and dark reactions, C3 and C4 pathways, photorespiration; Respiration: aerobic and anaerobic, electron transport chain; Plant growth and development; Phytohormones.

Modes of reproduction; Vegetative reproduction; Sexual reproduction in flowering plants; Pollination types and mechanisms; Double fertilisation; Seed development and dispersal; Apomixis; Polyembryony.

Mendel’s laws of inheritance; Monohybrid and dihybrid crosses; Codominance; Incomplete dominance; Multiple alleles; Chromosome theory of inheritance; Sex determination; Linkage and crossing over; Chromosomal disorders; Darwin’s theory; Hardy-Weinberg principle.

DNA structure (Watson-Crick double helix model); DNA replication; Transcription and translation; Genetic code; Gene regulation (Lac operon); Human Genome Project; DNA fingerprinting.

Principles and processes; Recombinant DNA technology; Gene cloning; PCR; Transgenic plants (Bt cotton, Golden rice); Bioreactors; Applications in agriculture and medicine; Bioethics.

Organisms and environment; Population ecology (growth, natality, mortality); Ecosystem structure and function; Energy flow; Biogeochemical cycles; Biodiversity; Conservation strategies; Environmental issues; Biomagnification.

Basis of classification; Levels of organisation; Body plan; Symmetry; Coelom; Segmentation; Non-chordates (Porifera to Echinodermata); Chordates (Urochordata to Mammalia); Salient features of each phylum.

Animal tissues: epithelial, connective, muscular, neural; Organ system concept; Morphology and anatomy of earthworm, cockroach, and frog.

Digestion and absorption; Breathing and exchange of gases; Body fluids and circulation (blood composition, heart, cardiac cycle, ECG, blood pressure); Excretory products and their elimination; Locomotion and movement; Neural control and coordination; Chemical coordination and integration (endocrine glands and hormones).

Human reproductive system; Gametogenesis; Fertilisation; Embryonic development; Pregnancy and parturition; Reproductive health; Contraception methods; STDs; Infertility.

Chromosomal basis of inheritance; Sex-linked inheritance; Blood groups (ABO and Rh); Genetic disorders: haemophilia, colour blindness, Down’s syndrome, sickle-cell anaemia; Origin of life; Darwin’s theory of natural selection; Speciation; Hardy-Weinberg law; Human evolution.

Human health and diseases: pathogens, immunity (innate and acquired), AIDS, cancer; Drugs and alcohol abuse; Animal husbandry; Bee keeping; Fisheries; Poultry; Sericulture; Lac culture; Biotechnology in medicine: insulin, vaccines, gene therapy; Organ transplantation.

Population ecology: growth models (logistic and exponential), natality, mortality, age distribution; Community ecology; Biomes; Biodiversity hotspots; Conservation strategies (in situ and ex situ); Environmental legislation; Endangered species.