BCECE Syllabus 2027: Subject Wise Topics, Topic Wise Weightage and PDF Download

Nature of physical laws; scope of physics; units of measurement; SI units; fundamental and derived units; accuracy and precision; errors in measurement; significant figures; dimensional analysis and applications.

Frame of reference; motion in a straight line; position-time graph; speed and velocity; uniform and non-uniform motion; uniformly accelerated motion; equations of motion; relative velocity; scalars and vectors; addition and subtraction of vectors; unit vector; projectile motion; uniform circular motion.

Newton’s first, second, and third laws of motion; inertia; momentum; impulse; conservation of linear momentum; friction (static, kinetic, rolling); dynamics of uniform circular motion; centripetal force; banking of roads.

Work done by constant and variable force; kinetic energy; work-energy theorem; power; potential energy; conservative and non-conservative forces; conservation of mechanical energy; elastic and inelastic collisions in one and two dimensions.

Centre of mass; momentum conservation; torque; angular momentum; conservation of angular momentum; equilibrium of rigid bodies; moment of inertia; radius of gyration; theorems of perpendicular and parallel axes; rolling motion.

Kepler’s laws; universal law of gravitation; acceleration due to gravity and its variation with altitude and depth; gravitational potential energy; escape velocity; orbital velocity; geostationary and polar satellites.

Elastic behaviour; stress-strain relationship; Hooke’s law; Young’s modulus; bulk modulus; Pascal’s law; viscosity; Stokes’ law; terminal velocity; Bernoulli’s theorem; surface tension; capillarity; heat transfer (conduction, convection, radiation); Newton’s law of cooling; Stefan’s law.

Thermal equilibrium; zeroth law of thermodynamics; heat; work; internal energy; first law of thermodynamics; isothermal and adiabatic processes; second law; reversible and irreversible processes; heat engine and refrigerator.

Equation of state of a perfect gas; kinetic theory assumptions; pressure; rms speed; degrees of freedom; law of equi-partition of energy; specific heat capacities of gases; mean free path; Avogadro’s number.

Periodic motion; SHM; energy in SHM; oscillations of a spring; simple pendulum; resonance; wave motion; transverse and longitudinal waves; speed of a wave; standing waves in strings and organ pipes; beats; Doppler effect.

Electric charges; Coulomb’s law; superposition principle; electric field; electric flux; Gauss’s law and applications; electric potential; equipotential surfaces; capacitors and capacitance; combination of capacitors; energy stored in a capacitor; dielectrics; Van de Graaff generator.

Electric current; drift velocity; Ohm’s law; electrical resistance; V-I characteristics; electrical energy and power; resistivity; combination of resistors; internal resistance of a cell; EMF; Kirchhoff’s laws; Wheatstone bridge; potentiometer.

Biot-Savart law; Ampere’s law; force on a moving charge; Cyclotron; force on a current-carrying conductor; torque on a current loop; moving coil galvanometer; bar magnet; earth’s magnetic field; para-, dia-, and ferromagnetic substances; permanent magnets.

Faraday’s laws of EMI; Lenz’s law; eddy currents; self and mutual induction; alternating currents; peak and rms values; reactance and impedance; LC oscillations; LCR series circuit; resonance; power in AC circuits; AC generator; transformer.

Displacement current; electromagnetic waves; electromagnetic spectrum (radio, microwave, infrared, visible, ultraviolet, X-rays, gamma rays); transverse nature of EM waves; propagation and uses of EM waves.

Reflection and refraction; mirror formula; total internal reflection; optical fibres; lens formula; lens-maker’s formula; magnification; combination of thin lenses; prism and dispersion; optical instruments (microscope, telescope); Huygens’s principle; interference; Young’s double slit experiment; diffraction; polarisation; Brewster’s law; Malus’s law.

Photoelectric effect; Einstein’s photoelectric equation; particle nature of light; photon; matter waves; de Broglie relation; Davisson-Germer experiment.

Rutherford’s model; Bohr model; energy levels; hydrogen spectrum; composition and size of nucleus; isotopes, isobars, isotones; radioactive decay law; alpha, beta and gamma decay; nuclear fission and fusion; binding energy per nucleon.

Semiconductors; p-n junction diode; I-V characteristics; diode as a rectifier; LED; photodiode; solar cell; Zener diode as voltage regulator; junction transistor; common emitter configuration; transistor as amplifier and switch; logic gates (OR, AND, NOT, NAND, NOR).

Laws of chemical combination; atomic and molecular masses; mole concept and molar mass; stoichiometry; percentage composition; empirical and molecular formulae; limiting reagent; reactions in solution.

Bohr’s model of hydrogen atom; quantum numbers; Aufbau principle; Pauli exclusion principle; Hund’s rule; electronic configuration; de Broglie’s relationship; Heisenberg’s uncertainty principle; shapes of s, p, d orbitals.

Gas laws (Boyle’s, Charles’s, Avogadro’s); ideal gas equation; kinetic molecular theory; real gases; van der Waals equation; liquid state; vapour pressure; surface tension; viscosity.

System and surroundings; internal energy; enthalpy; Hess’s law; bond enthalpies; entropy; Gibbs free energy; spontaneity of chemical processes; first and second laws of thermodynamics.

Law of mass action; equilibrium constant Kp and Kc; Le Chatelier’s principle; ionic equilibrium; degree of ionisation; pH calculations; buffer solutions; hydrolysis of salts; solubility product; Henderson equation.

Electrolytic and metallic conduction; Kohlrausch’s law; electrochemical cells; EMF; standard electrode potential; Nernst equation; galvanic cells; electrolysis; Faraday’s laws; corrosion.

Rate of reaction; order and molecularity; integrated rate equations; half-life; Arrhenius equation; activation energy; collision theory; catalysis (homogeneous and heterogeneous).

Periodic law; long form of periodic table; periodic trends: atomic radius, ionic radius, ionization enthalpy, electron gain enthalpy, electronegativity, valence.

Kossel-Lewis approach; ionic and covalent bonds; VSEPR theory; valence bond theory; hybridisation (sp, sp2, sp3, sp3d, sp3d2); molecular orbital theory (LCAO); hydrogen bonding; resonance.

General properties of s-block elements; compounds of sodium and calcium; p-block elements (Groups 13–18): properties and reactions; d-block transition elements: electronic configuration, colour, magnetic properties; f-block: lanthanides and actinides.

Werner’s theory; IUPAC nomenclature; isomerism (geometric, optical); bonding: valence bond theory and crystal field theory; colour; magnetic properties; stability constants; importance in biology and industry.

Air and water pollution; soil pollution; industrial waste; greenhouse effect; ozone depletion; acid rain; strategies to control environmental pollution.

IUPAC nomenclature; isomerism; electronic displacement: inductive effect, electromeric effect, resonance; covalent bond fission; carbocations, carbanions, free radicals; reaction intermediates.

Alkanes (conformations); alkenes (geometric isomerism, Markovnikov’s rule); alkynes; aromatic hydrocarbons (Friedel-Crafts reactions, electrophilic substitution); haloalkanes (SN1 and SN2); haloarenes (reactivity).

Preparation and chemical properties of alcohols; esterification; phenol acidity; reactions of phenols; Williamson synthesis; reactions of ethers.

Nucleophilic addition; aldol condensation; Cannizzaro reaction; oxidation and reduction; carboxylic acids: acidity, esterification, decarboxylation; acid chlorides; anhydrides; amides.

Classification and nomenclature; basicity; Hofmann degradation; reactions with nitrous acid; diazonium salts; coupling reactions (Sandmeyer, Balz-Schiemann); uses in synthesis.

Carbohydrates: classification, reducing and non-reducing sugars; proteins: amino acids, peptide bond, denaturation; enzymes; vitamins; nucleic acids: structure of DNA and RNA.

Natural and synthetic polymers; addition and condensation polymerisation; copolymers; rubber; drugs: analgesics, antiseptics, disinfectants, antacids, antihistamines; soaps and detergents.

Sets and representations; types of sets; subsets; power sets; Venn diagrams; complement; relations; types of relations; functions; one-to-one; onto; composite functions; inverse of a function; binary operations; exponential and logarithmic functions.

Complex numbers; algebraic properties; Argand plane; modulus and argument; polar form; square root of a complex number; quadratic equations; nature of roots; relationship between roots and coefficients.

Types of matrices; operations on matrices; transpose; symmetric and skew-symmetric matrices; elementary row operations; inverse of a matrix; determinants; properties of determinants; Cramer’s rule; system of linear equations.

Fundamental principle of counting; factorial; permutations and combinations; binomial theorem for positive integral index; Pascal’s triangle; general term and middle term; binomial coefficients.

Arithmetic progressions; geometric progressions; harmonic progressions; AM-GM inequality; sum of n terms; sum of squares and cubes of first n natural numbers; infinite GP; exponential and logarithmic series.

Straight lines: distance formula, section formula, slope, equations (various forms), angle between two lines; circles: standard form, general form; conic sections: parabola, ellipse, hyperbola (standard forms, tangent, normal equations).

Limits and continuity; differentiability; derivatives of composite, implicit, and inverse trigonometric functions; logarithmic differentiation; parametric differentiation; second-order derivatives; mean value theorems; tangents and normals; increasing/decreasing functions; maxima and minima.

Integration as inverse of differentiation; methods: substitution, integration by parts, partial fractions; definite integrals; properties of definite integrals; area under curves; differential equations: order and degree; formation and solution by variable separable, homogeneous, and linear methods.

Types of vectors; addition; scalar and vector products; projection; direction cosines and ratios; equations of lines and planes; angle between lines and planes; coplanar lines; shortest distance between two lines.

Measures of dispersion; mean deviation; variance; standard deviation; random variables; probability distributions; Bernoulli trials; binomial distribution; Bayes’ theorem; conditional probability; multiplication theorem.

Trigonometric functions and identities; trigonometric equations; inverse trigonometric functions; principal values; properties; applications: sine rule, cosine rule, area of triangle.

Statements; logical connectives; tautology and contradiction; contrapositive and converse; linear programming problems; types of linear programming; graphical method; feasible region; optimal solution.

Classification of plants: algae, bryophytes, pteridophytes, gymnosperms, angiosperms; morphological features; binomial nomenclature; cell wall and cell membrane; plant tissue types.

Transport in plants; mineral nutrition (macro and micro); photosynthesis (light and dark reactions, Calvin cycle, C4 pathway, photorespiration); respiration in plants (glycolysis, Krebs cycle, ETC); plant growth and development; photoperiodism; vernalisation.

Modes of reproduction; vegetative propagation; sexual reproduction in flowering plants; development of male and female gametophytes; pollination types; double fertilisation; post-fertilisation developments; seed and fruit formation.

Mendelian inheritance; chromosomal theory; linkage and crossing over; sex determination; mutation; polyploidy; molecular basis of inheritance: DNA structure, replication, transcription, translation; gene regulation; human genome project; DNA fingerprinting.

Microbes in human welfare; food production improvement; biofortification; tissue culture; plant breeding; transgenic plants; biofertilisers; biopesticides; recombinant DNA technology applications.

Animal tissues (epithelial, connective, muscular, nervous); morphology and anatomy of earthworm, cockroach, and frog.

Digestion and absorption; breathing and exchange of gases; body fluids and circulation; excretory products and elimination; locomotion and movement; neural control and coordination; chemical coordination and integration (endocrine system); immune system; AIDS; cancer.

Modes of reproduction in organisms; human male and female reproductive systems; gametogenesis; fertilisation; embryonic development; pregnancy; parturition; reproductive health; STDs; infertility; contraception; ART (IVF, GIFT).

Origin of life; theories of evolution (Lamarckism, Darwinism); natural selection; Hardy-Weinberg equilibrium; adaptive radiation; speciation; evidence for evolution; evolution of man.

Organisms and populations; ecosystems (energy flow, nutrient cycling, ecological pyramids); biodiversity (types, importance, threats); conservation (in-situ and ex-situ); environmental issues (ozone depletion, deforestation, water and air pollution).