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BCECE Syllabus 2025

BCECE 2025 Syllabus

The BCECE 2025 syllabus includes subjects such as physics, chemistry, mathematics, biology, and agriculture. The Bihar Combined Entrance Competitive Examination (BCECE) is a state-level exam conducted by the Bihar Combined Entrance Competitive Examination Board (BCECEB).

BCECE is held for admission to undergraduate programs in agriculture and pharmacy courses in Bihar. For the 2025 session, the examination will take place in the week of July 2025.

BCECE syllabus for Physics

Main Chapter	Detailed Topics
Physical World and Measurement	The scope and excitement of physics, nature of physical laws, and the relationship between physics, technology, and society.
Need for Measurement	Units of measurement, systems of units, S.I. units, fundamental and derived units, measuring length, mass, and time, accuracy, and precision, errors in measurements, significant figures, and regular/irregular errors.
Dimensions of Physical Quantities	Dimensional analysis and its applications.
Kinematics	Reference frames, motion along a straight line, position-time graph, speed, and velocity. Uniform and non-uniform motion, average speed, and instantaneous velocity. Uniformly accelerated motion, velocity-time, and position-time graphs, relations for accelerated motion (graphical analysis), basic concepts of differentiation and integration in motion description.
Scalar and Vector Quantities	Position and displacement vectors, vector equality, multiplication by a real number, vector addition and subtraction, relative velocity, unit vectors, vector resolution into components in a plane. Motion in a plane, uniform velocity and acceleration cases – projectile motion, uniform circular motion.
Laws of Motion	Intuitive concept of force, inertia, Newton’s laws of motion, momentum, impulse, law of conservation of linear momentum, equilibrium of concurrent forces, static and kinetic friction, rolling friction, lubrication, dynamics of uniform circular motion (centripetal force, examples).
Work, Energy, and Power	Scalar product of vectors, work done by constant and variable forces, kinetic energy, work-energy theorem, potential energy, power, energy conservation (kinetic and potential), non-conservative forces, elastic and inelastic collisions.
Motion of System of Particles and Rigid Body	Centre of mass, momentum conservation, torque, angular momentum, conservation of angular momentum, equilibrium of rigid bodies, rigid body rotation, comparison of linear and rotational motion, moment of inertia, radius of gyration, theorems related to moment of inertia.
Gravitation	Kepler’s laws, universal law of gravitation, acceleration due to gravity, its variation with altitude and depth, gravitational potential energy, escape velocity, orbital velocity, and geo-stationary satellites.
Properties of Bulk Matter	Elasticity, stress-strain relationship, Hooke’s law, Young’s modulus, Bulk modulus, shear modulus of rigidity, fluid pressure, Pascal’s law, viscosity, Stokes’ law, Reynold’s number, Bernoulli’s theorem, surface tension, and capillary rise.
Heat and Thermodynamics	Heat, temperature, thermal expansion, specific heat, calorimetry, latent heat, heat transfer, conduction, convection, radiation, and thermal conductivity. Zeroth, First, and Second Laws of Thermodynamics, heat engines, refrigerators, reversible and irreversible processes.
Behaviour of Perfect Gas and Kinetic Theory	Equation of state, work done on gas compression, kinetic theory assumptions, gas pressure, kinetic energy, temperature, Rms speed, mean free path, Avogadro’s number, and application to specific heat capacities.
Oscillations and Waves	Periodic motion, SHM, spring oscillations, pendulum time period, free, forced, and damped oscillations, wave motion, longitudinal and transverse waves, Doppler effect, wave superposition, reflection, standing waves, beats.
Electrostatics	Electric charge, Coulomb’s law, electric field, dipoles, Gauss’s theorem, electric potential, equipotential surfaces, conductors, insulators, capacitors, dielectric polarisation, series and parallel combinations of capacitors, energy stored in capacitors, Van de Graff generator.
Current Electricity	Electric current, Ohm’s law, resistance, electrical energy and power, resistivity, Kirchhoff’s laws, Wheatstone bridge, potentiometer.
Magnetic Effects of Current & Magnetism	Magnetic fields, Biot-Savart law, Ampere’s law, force on moving charges and current-carrying conductors, magnetic dipoles, Earth’s magnetic field, electromagnets, and permanent magnets.
Electromagnetic Induction and Alternating Currents	Faraday’s law, induced emf, Lenz’s law, self and mutual inductance, alternating currents, AC generators, transformers.
Electromagnetic Waves	Characteristics of electromagnetic waves, spectrum, and uses of radio waves, microwaves, infrared, visible, ultraviolet, X-rays, and gamma rays.
Optics	Reflection and refraction, spherical mirrors, lenses, magnification, image formation, optical instruments, diffraction, interference, Young’s double slit experiment, diffraction from a single slit, resolving power of telescopes, polarisation, and Brewster’s law.
Dual Nature of Matter and Radiation	Photoelectric effect, Einstein’s equation, de Broglie’s relation, Davisson-Germer experiment.
Atoms and Nuclei	Rutherford and Bohr models, atomic spectra, radioactivity, fission, fusion, mass-energy relation, binding energy, and nuclear reactions.
Electronic Devices	Semiconductor diodes, I-V characteristics, LEDs, photodiodes, Zener diodes, transistors, logic gates, and their applications in amplifiers and oscillators.
Communication Systems	Elements of communication, modulation, electromagnetic wave propagation, and amplitude modulation.

BCECE syllabus for Chemistry

Chapter	Detailed Topics
Some Basic Concepts of Chemistry	Importance and scope of chemistry, laws of chemical combination, Dalton’s atomic theory, elements, atoms, molecules, atomic and molecular masses, mole concept, molar mass, percentage composition, empirical and molecular formulae, chemical reactions, stoichiometry, related calculations.
States of Matter: Gases and Liquids	Three states of matter, intermolecular interactions, types of bonding, melting and boiling points, gas laws (Boyle’s law, Charle’s law, Gay Lussac’s law, Avogadro’s law), ideal gas behavior, gas equation derivation, liquification of gases, critical temperature, vapor pressure, viscosity, surface tension (qualitative only).
Structure of Atom	Discovery of electron, proton, neutron, atomic number, isotopes, isobars, atomic models (Thomson’s, Rutherford’s, Bohr’s), shells, subshells, dual nature of matter, De Broglie’s relationship, Heisenberg uncertainty principle, orbitals, quantum numbers, electron filling rules, orbital stability.
Chemical Bonding and Molecular Structure	Valence electrons, ionic and covalent bonds, bond parameters, Lewis structures, polarity of covalent bonds, valence bond theory, resonance, VSEPR theory, hybridization, molecular orbital theory, hydrogen bonding.
Classification of Elements and Periodicity of Properties	Classification importance, periodic table development, modern periodic law, trends in atomic radii, ionization enthalpy, electron affinity, electronegativity, valency.
Equilibrium	Dynamic equilibrium in physical and chemical processes, mass action law, equilibrium constant, Le Chatelier’s principle, ionic equilibrium, pH, hydrolysis of salts, buffer solutions, solubility product, common ion effect.
Thermodynamics	System concepts, extensive and intensive properties, first law (internal energy, enthalpy), Hess’s law, phase changes, entropy, free energy, equilibrium conditions.
s-Block Elements	Group 1 & 2 elements: Introduction, electronic configuration, occurrence, properties, chemical reactivity trends, preparation of compounds like Na2CO3, NaCl, CaO, CaCO3.
p-Block Elements	Group 3 to Group 8 elements: Electronic configuration, oxidation states, trends, chemical reactivity, physical and chemical properties of elements like boron, carbon, nitrogen, oxygen, halogens, noble gases, and important compounds (e.g., borax, ammonia, sulphuric acid).
d- and f-Block Elements	Transition metals, lanthanides, actinides: Electronic configuration, trends, oxidation states, color, magnetic properties, alloy formation, and notable compounds (e.g., K2Cr2O7, KMnO4).
Coordination Compounds	Ligands, coordination number, color, magnetic properties, nomenclature, bonding, isomerism, importance in qualitative analysis and metal extraction.
Redox Reactions	Oxidation and reduction concepts, balancing redox reactions, applications.
Hydrogen	Properties, isotopes, preparation, uses, hydrides, water and heavy water, hydrogen peroxide, and its reactions.
Organic Chemistry – Principles and Techniques	Methods of analysis, nomenclature, bond displacement, types of organic reactions (free radicals, carbocations), hydrocarbons (alkanes, alkenes, alkynes), aromatic compounds (e.g., benzene, Friedel-Crafts reactions).
Environmental Chemistry	Pollution (air, water, soil), atmospheric chemistry, ozone depletion, greenhouse effect, global warming, green chemistry for pollution control.
Solid State and Solutions	Classification of solids, unit cells, packing, density calculation, electrochemical cells, colligative properties (boiling point elevation, freezing point depression), solution types.
Electrochemistry	Redox reactions, conductance in electrolytic solutions, electrolysis, Galvanic cells, standard electrode potentials, corrosion.
Chemical Kinetics	Rate of reaction, factors affecting it, order and molecularity of reactions, rate law, specific rate constant, integrated rate equations, collision theory.

BCECE syllabus for Biology

Main Chapter	Detailed Topics
Diversity in the Living World	Classification of living organisms (five-kingdom system, major groups, and principles of classification for each kingdom). Systematics and binomial nomenclature. Key characteristics of animal and plant classifications (non-chordates up to the phylum level, chordates up to the class level, major plant groups, Angiosperms up to subclass). Botanical gardens, herbaria, zoological parks, and museums.
Structural Organization in Animals and Plants	Animal and plant tissues. Morphology, anatomy, and function of different parts of flowering plants (roots, stems, leaves, inflorescences, flowers, fruits, and seeds). Morphology, anatomy, and function of organ systems in annelids (earthworm), insects (cockroach), and amphibians (frog).
Cell: Structure and Function	Cell structure: cell wall, membrane, and organelles (plastids, mitochondria, endoplasmic reticulum, Golgi bodies, ribosomes, lysosomes, vacuoles, centrioles). Nuclear organization. Mitosis, meiosis, and the cell cycle. Chemical constituents of living organisms and their functions (carbohydrates, proteins, lipids, nucleic acids). Enzymes: types, properties, and functions.
Plant Physiology	Transport of water, food, nutrients, and gases in plants. Mineral nutrition, respiration, photosynthesis, plant growth, and development.
Human Physiology	Digestion and absorption, respiration, body fluids, and circulation, excretion, locomotion and movement, control and coordination.
Sexual Reproduction	Pollination and fertilization in flowering plants. Seed and fruit development. Human reproduction: male and female reproductive systems, menstrual cycle, gamete production, fertilization, implantation, embryo development, pregnancy, and parturition. Reproductive health: birth control, contraception, and sexually transmitted diseases.
Genetics and Evolution	Mendelian inheritance, chromosome theory, and deviations from Mendelian ratios (gene interactions: incomplete dominance, codominance, complementary genes, multiple alleles). Sex determination in humans (XX, XY). Linkage and crossing over. Inheritance of traits like hemophilia and blood groups in humans.
DNA: Replication, Transcription, and Translation	Gene expression and regulation, the Human Genome Project, DNA fingerprinting, and evolution theories and evidence.
Biology and Human Welfare	Animal husbandry, immunology basics, vaccines, pathogens, parasites, plant breeding, tissue culture, food production, microbes in food processing, industrial production, sewage treatment, and energy generation. Cancer, AIDS, adolescence, and substance abuse.
Biotechnology and its Applications	Recombinant DNA technology and its applications in health, agriculture, and industry. Genetically modified organisms (GMOs) and biosafety issues. Insulin and Bt cotton.
Ecology and Environment	Ecosystems: components, types, and energy flow. Species, population, and community. Ecological adaptations, biodiversity conservation, and protected areas like national parks and sanctuaries. Environmental concerns and issues.

BCECE syllabus for Mathematics

Main Chapter	Detailed Topics
Sets and Functions	Representation of sets, empty set, finite & infinite sets, equal sets, subsets, subsets of real numbers (especially intervals with notation), power set, universal set, Venn diagrams, union, intersection, difference, and complement of sets. Relations and functions: ordered pairs, Cartesian product, elements in the Cartesian product, relations and functions between sets, domain, co-domain, and range, real-valued functions, various types of functions (constant, identity, polynomial, rational, modulus, signum, greatest integer) with their graphs, operations on functions, trigonometric functions (angles in radians and degrees, definitions using the unit circle, key identities and their applications).
Algebra (I)	Mathematical induction: proof process, applications to natural numbers. Complex numbers: introduction, properties, polar representation, fundamental theorem of algebra. Linear inequalities: solutions in one variable, graphical solutions for two variables. Permutations and combinations: counting principles, derivation of formulas, simple applications. Binomial theorem: statement, proof for positive integers, Pascal’s triangle, general and middle terms, simple applications. Sequences and series: arithmetic and geometric progressions, relations between means, sum of series, special sums.
Coordinate Geometry (I)	Straight lines: recall of 2D geometry, slope, and angle between lines. Various forms of equations: point-slope, slope-intercept, two-point, intercept form, general equation, distance from a line. Conic sections: circles, ellipses, parabolas, hyperbolas, degenerate cases, standard equations, simple properties. Three-dimensional geometry: coordinate axes and planes, distance between points, section formula.
Calculus (I)	Limits and derivatives: rate of change, intuitive limits, derivatives, sum, product, quotient rules, derivatives of polynomial and trigonometric functions.
Mathematical Reasoning	Valid statements, logical connectives (if and only if, implies, and/or, etc.), understanding through examples, validation, contradiction, converse, and contrapositive.
Statistics	Measures of dispersion: mean deviation, variance, and standard deviation for grouped and ungrouped data, analysis of frequency distributions with varying variances.
Probability (I)	Random experiments, outcomes, sample spaces, events (mutually exclusive, exhaustive, etc.), axiomatic probability, probability calculations for various event types.
Relations and Functions	Types of relations: reflexive, symmetric, transitive, equivalence relations. One-to-one and onto functions, composite functions, inverse functions, binary operations.
Inverse Trigonometric Functions	Definitions, range, domain, principal value branches, graphs, elementary properties.
Algebra (II)	Matrices: notation, types, operations (addition, multiplication, scalar multiplication), elementary row and column operations, invertible matrices, uniqueness of inverse, application in solving linear equations. Determinants: properties, minors, cofactors, area of a triangle, inverse, consistency of systems of linear equations.
Calculus (II)	Continuity and differentiability, chain rule, derivatives of inverse trigonometric functions, logarithmic differentiation, implicit functions, second-order derivatives. Applications of derivatives: rate of change, maxima and minima, tangents, normals, approximation.
Integrals	Integration as the inverse of differentiation, techniques (substitution, partial fractions, parts), definite integrals, Fundamental Theorem of Calculus, properties, and evaluation. Applications: area under curves, between curves.
Differential Equations	Definition, order, degree, general and particular solutions, separation of variables, linear differential equations, solutions using the method of separation.
Vectors	Vectors and scalars, magnitude and direction, position vector, addition, scalar multiplication, dot product, cross product, projections, properties of vectors.
Three-dimensional Geometry	Direction cosines, equations of lines and planes, coplanar and skew lines, shortest distance, angle between lines, planes, and point to plane distance.
Linear Programming	Introduction to linear programming, constraints, objective function, optimization, graphical solutions for problems with two variables, feasible/infeasible regions, optimal solutions.
Probability (II)	Multiplication theorem, conditional probability, independent events, Bayes’ theorem, random variables, probability distribution, mean and variance, Bernoulli trials, Binomial distribution.

BCECE syllabus for Agricultural Sciences

Main Topics	Detailed Topics
Introduction to Agriculture and Agrometeorology	Soil as a medium for plant growth
Plant Breeding and Genetics	Agricultural Engineering
Crop Protection	Animal Husbandry, Dairy, and Fish Production
Crop Production	Cultivation of various crops
Cropping Systems	Soil and water management
Weed Management	Recent advancements in Agriculture
Agricultural Economics	Basic Horticulture
Fruit Production	Vegetable cultivation
Flower, Medicinal, and Aromatic Plants	Preservation techniques for fruits and plants
Extension Education	–