BIEAP Syllabus 2027: Revised Syllabus Released, Subject Wise Topics and Deleted Topics

Scope of physics, Physics and technology, Fundamental forces in nature, Nature of physical laws

SI units, Measurement of length, mass, and time, Significant figures, Dimensional analysis, Errors in measurement

Position, displacement, velocity, speed, Acceleration, Kinematic equations for uniform acceleration, Relative velocity

Scalars and vectors, Vector addition and resolution, Projectile motion, Uniform circular motion

Newton’s first, second, and third laws, Momentum and impulse, Conservation of momentum, Friction (static, kinetic, rolling), Dynamics of circular motion

Work-energy theorem, Kinetic and potential energy, Conservation of mechanical energy, Power, Elastic and inelastic collisions

Centre of mass, Torque, Angular momentum, Conservation of angular momentum, Moment of inertia, Theorems of parallel and perpendicular axes, Rolling motion

Universal law of gravitation, Acceleration due to gravity, Gravitational potential energy, Escape velocity, Orbital velocity, Kepler’s laws, Satellites

Elastic behaviour, Stress and strain, Hooke’s law, Young’s modulus, Bulk modulus, Shear modulus

Pressure, Pascal’s law, Archimedes’ principle, Bernoulli’s theorem, Viscosity, Surface tension, Capillary rise

Temperature and heat, Thermal expansion, Specific heat capacity, Calorimetry, Change of state, Conduction, convection and radiation, Newton’s law of cooling

Zeroth and first laws of thermodynamics, Isothermal and adiabatic processes, Second law of thermodynamics, Carnot engine and efficiency, Refrigerators

Molecular nature of matter, Kinetic theory of gases, RMS speed, Law of equipartition of energy, Mean free path

Periodic and simple harmonic motion, Energy in SHM, Simple pendulum, Spring-mass system, Damped and forced oscillations, Resonance

Transverse and longitudinal waves, Speed of a wave, Superposition of waves, Standing waves and normal modes, Beats, Doppler effect

Coulomb’s law, Electric field and field lines, Gauss’s law and applications, Electric dipole, Continuous charge distributions

Electric potential energy, Potential due to point charge and dipole, Equipotential surfaces, Capacitors, Dielectrics and polarisation, Energy stored in a capacitor

Ohm’s law, Resistance and resistivity, Temperature dependence of resistance, Kirchhoff’s laws, Wheatstone bridge, Potentiometer, EMF and internal resistance

Magnetic force on a moving charge, Biot-Savart law, Ampere’s circuital law, Solenoid and toroid, Moving coil galvanometer

Bar magnet and field lines, Earth’s magnetism, Magnetic properties of materials (diamagnetic, paramagnetic, ferromagnetic), Permanent magnets

Faraday’s laws, Lenz’s law, Eddy currents, Self-inductance and mutual inductance, AC generator

AC voltage applied to R, L, C circuits, Impedance and reactance, LCR series circuit, Power in AC circuit, Resonance, Transformers

Displacement current, Properties of electromagnetic waves, Electromagnetic spectrum (radio waves to gamma rays)

Reflection and refraction at plane and curved surfaces, Total internal reflection, Lenses and lens formula, Dispersion by a prism, Optical instruments (microscope, telescope)

Huygens’ principle, Interference — Young’s double slit experiment, Diffraction, Polarisation by reflection and refraction

Photoelectric effect, Einstein’s photoelectric equation, de Broglie relation, Davisson and Germer experiment

Rutherford’s nuclear model, Bohr’s model, Energy levels, Hydrogen spectrum line series

Nuclear binding energy, Radioactivity (alpha, beta, gamma decay), Radioactive decay law, Nuclear fission and fusion

Energy bands, Intrinsic and extrinsic semiconductors, p-n junction diode, Rectifiers, Zener diode, Transistor action, Logic gates (AND, OR, NOT, NAND, NOR)

Laws of chemical combination, Atomic and molecular masses, Mole concept, Stoichiometry and stoichiometric calculations

Thomson, Rutherford, and Bohr models, Quantum mechanical model, s/p/d/f orbitals, Quantum numbers, Electronic configuration, Aufbau principle, Hund’s rule, Pauli’s exclusion principle

Modern Periodic Law, Periodic table groups and periods, Atomic radii, Ionization energy, Electron affinity, Electronegativity, Valency

Ionic, covalent, and metallic bonds, Lewis structures, VSEPR theory, Valence bond theory, Hybridization (sp, sp2, sp3), Molecular orbital theory, Hydrogen bonding

Gas laws, Ideal gas equation, Kinetic theory of gases, Deviation from ideal behaviour, van der Waals equation, Liquefaction of gases

First law of thermodynamics, Enthalpy and internal energy, Hess’s law, Spontaneous processes, Entropy, Second and third laws, Gibbs free energy

Chemical equilibrium, Equilibrium constant (Kc, Kp), Le Chatelier’s principle, Ionic equilibrium, Acids and bases, pH, Buffer solutions, Solubility product (Ksp)

Oxidation state, Balancing redox reactions (half-reaction and oxidation number methods), Oxidising and reducing agents

Position in periodic table, Isotopes, Hydrides, Water and heavy water, Hydrogen peroxide, Hydrogen as a fuel

Group 1 (alkali metals) and Group 2 (alkaline earth metals), Important compounds — NaOH, Na2CO3, NaHCO3, CaO, Ca(OH)2, Plaster of Paris

Group 13 (Boron family) and Group 14 (Carbon family): properties, borax, boric acid, CO2, SiO2, silicates, silicones

IUPAC nomenclature, Isomerism, Inductive effect, resonance, hyperconjugation, Reaction mechanisms (SN1, SN2, E1, E2), Purification methods

Alkanes (free radical substitution), Alkenes (electrophilic addition), Alkynes, Benzene (aromaticity, electrophilic substitution), Carcinogenicity and toxicity

Air, water, and soil pollution, Causes and effects, Green chemistry as an alternative tool, Global warming and ozone depletion

Classification of solids, Unit cells, Crystal systems, Packing efficiency, Point defects in crystals, Electrical and magnetic properties

Types of solutions, Concentration units, Vapour pressure, Raoult’s law, Colligative properties (ΔTb, ΔTf, osmotic pressure), Abnormal molar masses, van’t Hoff factor

Electrochemical cells, Cell EMF, Nernst equation, Conductance, Kohlrausch’s law, Electrolysis and Faraday’s laws, Batteries and fuel cells, Corrosion

Rate of reaction, Order and molecularity, Integrated rate equations (zero and first order), Half-life, Arrhenius equation, Activation energy, Catalysis

Adsorption (physisorption and chemisorption), Freundlich isotherm, Catalysis, Colloids and emulsions, Coagulation

Occurrence of metals, Concentration of ores, Extraction (roasting, smelting, reduction), Refining, Thermodynamic and electrochemical principles

Group 15 (N, P, As), Group 16 (O, S), Group 17 (Halogens), Group 18 (Noble gases), Important compounds: NH3, HNO3, H2SO4, HCl, HOCl, interhalogen compounds

Transition elements properties, Variable oxidation states, Potassium permanganate and potassium dichromate, Lanthanides and Actinides

Werner’s theory, IUPAC nomenclature, Isomerism, Valence Bond Theory (VBT), Crystal Field Theory (CFT), Stability constants, Applications

IUPAC nomenclature, Preparation and reactions of alkyl halides and aryl halides, SN1 and SN2 mechanisms, Polyhalogen compounds (chloroform, DDT)

IUPAC names, Preparation and reactions, Acidity of alcohols vs phenols, Reactions of ethers, Industrial importance of ethanol and phenol

Structure and nomenclature, Nucleophilic addition reactions, Aldol condensation, Cannizzaro reaction, Carboxylic acid reactions, Acid derivatives

Classification and IUPAC nomenclature, Preparation, Basic nature of amines, Reactions, Diazonium salts and coupling reactions

Carbohydrates (mono-, di-, polysaccharides), Proteins (amino acids, peptide bond, levels of structure), Nucleic acids (DNA and RNA), Vitamins, Hormones, Enzymes

Classification of polymers, Addition and condensation polymers, Rubber and fibres, Drug classification and drug-receptor interaction, Chemicals in food, Cleansing agents

Types of functions (injective, surjective, bijective), Composite functions, Inverse functions, Domain and range

Principle of mathematical induction, Applications to sum formulas and inequalities

Types of matrices, Matrix operations, Determinants, Adjoint and inverse of a matrix, Rank of a matrix, Solution of linear equations by matrix method

Addition of vectors, Section formula, Scalar (dot) product, Vector (cross) product, Scalar triple product, Applications in geometry

Trigonometric ratios and identities, Sum, difference, and product formulas (transformations), Trigonometric equations, Inverse trigonometric functions, Hyperbolic functions, Properties of triangles (hero’s formula, radii of incircle and excircles)

Locus, Translation and rotation of axes, Straight lines (various forms), Angle between lines, Pair of straight lines, Three-dimensional coordinates, Direction cosines and ratios, Equation of a plane

Concept of limit, Standard limits (algebraic, trigonometric, exponential, logarithmic), Continuity at a point, Intermediate value theorem

Rules of differentiation, Derivatives of standard functions, Chain rule, Parametric differentiation, Applications: tangents and normals, rate of change, Rolle’s theorem, Mean Value Theorem, errors and approximations

Complex numbers (argument, polar form), De Moivre’s theorem, nth roots of unity, Quadratic equations and discriminant, Nature of roots, Relation between roots and coefficients

Symmetric functions of roots, nPr and nCr, Binomial theorem for positive integral index, Partial fractions, Exponential and logarithmic series

Classical and axiomatic probability, Addition and multiplication theorems, Conditional probability, Bayes’ theorem, Random variables, Probability distributions (binomial, Poisson)

Equation of a circle (standard, general, diameter forms), Tangents and normals, Chord of contact, Angle of intersection of two circles, Orthogonal circles

Parabola (standard forms, focus, directrix, focal chord, tangents and normals), Ellipse (standard form, foci, eccentricity, tangents), Hyperbola (standard form, asymptotes, rectangular hyperbola)

Methods of integration (substitution, by parts, partial fractions), Standard integrals, Properties of definite integrals, Reduction formulae, Area under curves, Formation and solution of differential equations (variable separable, homogeneous, linear)

Need for classification, Taxonomy (species to kingdom), Binomial nomenclature, Five Kingdom classification, Viruses and Lichens

Algae, Bryophytes (liverworts, mosses), Pteridophytes, Gymnosperms (Cycas, Pinus), Angiosperms, Alternation of generations across groups

Root, stem, and leaf morphology and modifications, Inflorescence, Flower parts, Fruit and seed types, Families — Fabaceae, Solanaceae, Liliaceae

Meristems, Permanent tissues, Anatomy of monocot and dicot roots, stems, and leaves, Secondary growth in stems and roots

Prokaryotic and eukaryotic cells, Cell organelles (nucleus, mitochondria, plastids, ER, Golgi, lysosomes, ribosomes), Cell cycle, Mitosis and Meiosis

Diffusion, Osmosis, Active transport, Water potential, Ascent of sap, Mineral nutrition (macro- and micronutrients), Nitrogen fixation, Translocation in phloem

Chloroplast structure, Light reactions (photophosphorylation), Calvin cycle, Factors affecting photosynthesis, Glycolysis, Krebs cycle, Oxidative phosphorylation, Fermentation, Respiratory quotient

Basis of classification, Phyla — Porifera, Coelenterata, Platyhelminthes, Nematoda, Annelida, Arthropoda, Mollusca, Echinodermata, Hemichordata

Phylum Chordata, Classes — Pisces, Amphibia, Reptilia, Aves, Mammalia, Salient features and examples of each class

Morphology and anatomy of earthworm, cockroach, and frog (dissection-level knowledge)

Digestive system (organs, enzymes, absorption), Respiratory system (organs, breathing mechanics, gas exchange, transport of O2 and CO2), Circulatory system (heart structure, cardiac cycle, blood pressure, lymph)

Excretory system (kidney structure, nephron, urine formation, haemodialysis), Neural control and coordination (neuron, brain structure, reflex arc), Sense organs (structure of eye and ear)

Types of movement, Skeletal system (bones and joints), Muscle contraction (sliding filament theory), Reproduction in Amoeba and Paramecium

Vegetative propagation, Asexual reproduction, Sexual reproduction in flowering plants (stamen and pistil structure), Pollination, Fertilisation, Embryo development, Apomixis and polyembryony

Mendel’s laws, Incomplete dominance, Co-dominance, Multiple alleles (ABO blood groups), Polygenic inheritance, Linkage and crossing over, Sex determination, Chromosomal theory of inheritance, Mutations

DNA structure (Watson and Crick model), DNA replication (semi-conservative), Transcription, Translation, Genetic code, Gene regulation (lac operon), Human Genome Project, DNA fingerprinting

Principles of biotechnology, Recombinant DNA technology (restriction enzymes, vectors, PCR, gel electrophoresis), Applications in medicine (insulin, gene therapy, vaccines), Applications in agriculture (Bt cotton, Golden Rice, pest resistance)

Organisms and environment (adaptations), Population ecology (growth models, natality, mortality, interactions), Ecosystems (energy flow, food chain, nutrient cycling), Biodiversity and conservation, Environmental issues (deforestation, pollution, greenhouse effect, ozone depletion)

Male and female reproductive systems, Gametogenesis (spermatogenesis and oogenesis), Fertilisation and implantation, Embryonic development, Parturition, Lactation, Contraceptive methods, Sexually transmitted infections

Chromosomal basis of inheritance, Sex-linked inheritance (haemophilia, colour blindness), Pedigree analysis, Genetic disorders — sickle cell anaemia, Down’s syndrome, Turner’s syndrome, Klinefelter’s syndrome

Origin of life, Theories of evolution (Lamarckism, Darwinism, Neo-Darwinism), Evidences for evolution (fossils, comparative anatomy, biogeography), Hardy-Weinberg principle, Speciation, Human evolution

Animal husbandry (poultry, dairy, animal breeding), Sericulture (silkworm life cycle), Apiculture (honey bee biology), Aquaculture (pisciculture), Biofertilisers and biopesticides

Pathogens and diseases (typhoid, pneumonia, malaria, amoebiasis, ringworm), Immune system (innate and acquired immunity, antibodies, vaccines), AIDS, Cancer (types, causes, treatment), Drugs and alcohol abuse