BCECE

Physical World and Measurement

Scope and excitement of physics, units of measurement, system of units, dimensional analysis, errors and significant figures.

Kinematics

Motion in a straight line and plane, scalars and vectors, projectile motion, uniform circular motion.

Laws of Motion

Newton's three laws, conservation of momentum, friction, equilibrium, dynamics of circular motion.

Work, Energy and Power

Work done by constant and variable forces, kinetic and potential energy, work-energy theorem, conservation of mechanical energy, collisions.

Motion of System of Particles and Rigid Body

Centre of mass, torque, angular momentum, moment of inertia, theorems of perpendicular and parallel axes, rolling motion.

Gravitation

Universal law of gravitation, acceleration due to gravity, gravitational potential energy, Kepler's laws, satellites and escape velocity.

Properties of Bulk Matter

Elasticity, fluid statics and dynamics, Bernoulli's principle, viscosity, surface tension, thermal expansion and conduction.

Heat and Thermodynamics

Thermal equilibrium, zeroth, first and second laws, isothermal and adiabatic processes, heat engines and refrigerators.

Behaviour of Perfect Gas and Kinetic Theory

Ideal gas equation, kinetic theory postulates, RMS velocity, degrees of freedom, mean free path.

Oscillations and Waves

Periodic motion, simple harmonic motion, simple pendulum, wave motion, principle of superposition, beats, Doppler effect.

Electrostatics

Coulomb's law, electric field and potential, Gauss's law, capacitors and dielectrics.

Current Electricity

Ohm's law, drift velocity, resistivity, Kirchhoff's laws, Wheatstone bridge, potentiometer, internal resistance.

Magnetic Effects of Current and Magnetism

Biot-Savart law, Ampere's law, force on a moving charge, moving coil galvanometer, bar magnet, Earth's magnetism, magnetic materials.

Electromagnetic Induction and Alternating Currents

Faraday's and Lenz's laws, self and mutual inductance, AC generator, LCR circuits, resonance, transformers.

Electromagnetic Waves

Displacement current, properties of EM waves, electromagnetic spectrum and uses.

Optics

Reflection, refraction, lenses, mirrors, prism, optical instruments, wave optics — interference, diffraction and polarisation.

Dual Nature of Matter and Radiation

Photoelectric effect, Einstein's equation, particle nature of light, de Broglie hypothesis, Davisson-Germer experiment.

Atoms and Nuclei

Alpha-scattering, Bohr model, hydrogen spectrum, composition of nucleus, mass-energy relation, radioactivity, fission and fusion.

Electronic Devices

Energy bands in solids, semiconductors, p-n junction, diodes, rectifier, transistor characteristics, logic gates.

Communication Systems

Elements of a communication system, propagation of EM waves, modulation — amplitude and frequency.

Some Basic Concepts of Chemistry

Mole concept, stoichiometry, empirical and molecular formulae, laws of chemical combination.

Structure of Atom

Bohr's model, dual nature, quantum numbers, orbitals, Aufbau, Hund's rule, electronic configurations.

Classification of Elements and Periodicity in Properties

Long-form periodic table, periodic trends in atomic radii, ionisation energy, electron affinity, electronegativity.

Chemical Bonding and Molecular Structure

Ionic and covalent bonds, VSEPR, valence bond and MO theories, hybridisation, hydrogen bonding.

States of Matter: Gases and Liquids

Gas laws, ideal gas equation, kinetic theory, real gases, liquefaction, vapour pressure, surface tension and viscosity.

Thermodynamics

First and second laws, enthalpy, entropy, Gibbs free energy, Hess's law, spontaneity criteria.

Equilibrium

Chemical equilibrium, Kc and Kp, Le Chatelier's principle, ionic equilibrium, acids and bases, pH, buffer solutions, solubility product.

Redox Reactions

Oxidation states, balancing redox reactions, redox titrations, electron-transfer concept of oxidation and reduction.

Hydrogen

Position in periodic table, isotopes, preparation and properties of hydrogen and water, hydrogen peroxide, heavy water.

s-Block Elements

Group 1 (alkali metals) and Group 2 (alkaline earth metals) — properties, anomalous behaviour, important compounds.

p-Block Elements (Group 13-14)

Boron and carbon family — properties, anomalous behaviour, important compounds.

Organic Chemistry — Some Basic Principles and Techniques

Tetravalence of carbon, isomerism, methods of purification, qualitative and quantitative analysis, electronic effects, reactive intermediates.

Hydrocarbons

Alkanes, alkenes, alkynes and aromatic hydrocarbons — preparation, properties and reactions; aromaticity.

Environmental Chemistry

Air, water and soil pollution; greenhouse effect; ozone depletion; green chemistry approaches.

Solid State

Classification of solids, unit cells, packing efficiency, density of cubic crystals, defects, electrical and magnetic properties.

Solutions

Concentration units, vapour pressure, Raoult's law, colligative properties, abnormal molar mass, van't Hoff factor.

Electrochemistry

Conductance in electrolytic solutions, electrochemical cells, EMF, Nernst equation, batteries, fuel cells, corrosion.

Chemical Kinetics

Rate of reaction, order, molecularity, integrated rate equations, half-life, Arrhenius equation, collision theory.

Surface Chemistry

Adsorption, catalysis, colloids, emulsions, micelles, properties of colloids.

General Principles and Processes of Isolation of Elements

Occurrence and principles of extraction of metals, refining methods, metallurgy of aluminium, copper, zinc and iron.

p-Block Elements (Group 15-18)

Nitrogen, oxygen, halogen and noble gas families — properties, anomalous behaviour, important compounds.

d- and f-Block Elements

Transition and inner-transition elements, oxidation states, lanthanoid contraction, important compounds.

Coordination Compounds

Werner's theory, IUPAC nomenclature, isomerism, valence bond and crystal field theories, importance in biology and industry.

Haloalkanes and Haloarenes

Nomenclature, preparation, physical and chemical properties, SN1/SN2 mechanisms, polyhalogen compounds.

Alcohols, Phenols and Ethers

Preparation and properties of alcohols, phenols and ethers; commercially important alcohols.

Aldehydes, Ketones and Carboxylic Acids

Preparation, nucleophilic addition reactions, oxidation and reduction, acidity of carboxylic acids and reactions.

Organic Compounds Containing Nitrogen

Amines, diazonium salts, cyanides and isocyanides — preparation, properties and applications.

Biomolecules

Carbohydrates, proteins, enzymes, vitamins, nucleic acids — structure and biological function.

Polymers

Classification, methods of polymerisation, important natural and synthetic polymers, biodegradable polymers.

Chemistry in Everyday Life

Drugs and medicines, food chemistry, cleansing agents — soaps and detergents.

Sets and Functions

Sets and their representations, types of sets, set operations, Cartesian product, relations and functions, domain and range.

Trigonometric Functions

Trigonometric ratios, identities, equations, properties of triangles, heights and distances.

Algebra (I)

Principle of mathematical induction, complex numbers and quadratic equations, linear inequalities, permutation and combination, binomial theorem, sequence and series.

Coordinate Geometry (I)

Straight lines, conic sections — circle, parabola, ellipse and hyperbola; introduction to three-dimensional geometry.

Calculus (I)

Limits and derivatives — limits of standard functions, derivative as a rate measure, derivatives of polynomial and trigonometric functions.

Statistics and Probability (I)

Measures of dispersion, variance and standard deviation; classical and axiomatic probability, conditional probability.

Relations and Functions (II)

Types of relations, equivalence relations, types of functions, composition, invertibility, binary operations, inverse trigonometric functions.

Algebra (II)

Matrices and determinants — types, operations, transpose, determinants up to order 3, adjoint and inverse, solution of linear equations.

Calculus (II)

Continuity and differentiability, applications of derivatives, indefinite and definite integrals, area under curves, differential equations.

Vectors and Three-Dimensional Geometry (II)

Vectors, scalar and vector products, scalar triple product; direction cosines, equations of lines and planes in space.

Linear Programming

Linear programming problems, mathematical formulation, graphical solution method, feasible and optimal solutions.

Probability (II)

Conditional probability, multiplication theorem, independent events, Bayes' theorem, random variables and Bernoulli trials.

Mathematical Reasoning

Mathematically acceptable statements, connectives, validating statements, contradiction and contrapositive.

Diversity in Living World

What is living, biodiversity, classification, taxonomic categories; five-kingdom classification; plant and animal kingdoms.

Structural Organisation in Animals and Plants

Morphology and anatomy of flowering plants, structural organisation in animals (tissues), earthworm, cockroach and frog.

Cell: Structure and Function

Cell theory, prokaryotic and eukaryotic cells, cell organelles, cell cycle and division, biomolecules and enzymes.

Plant Physiology

Transport in plants, mineral nutrition, photosynthesis, respiration, plant growth and development.

Human Physiology

Digestion and absorption, breathing and exchange of gases, body fluids and circulation, excretion, locomotion, neural and chemical coordination.

Reproduction

Reproduction in organisms, sexual reproduction in flowering plants, human reproduction, reproductive health.

Genetics and Evolution

Mendelian genetics, chromosomal theory, molecular basis of inheritance, evolution — origin of life and theories.

Biology and Human Welfare

Human health and disease, microbes in human welfare, strategies for enhancement in food production.

Biotechnology and Its Applications

Principles and processes of biotechnology, applications in health and agriculture, genetically modified organisms.

Ecology and Environment

Organisms and populations, ecosystems, biodiversity and conservation, environmental issues.