IOE B.E. / B.Arch. · Entrance Examination 2083
Complete IOE Entrance Syllabus 2083
Study every listed topic in the 140-mark pattern: Mathematics 50, Physics 40, Chemistry 30 and English 20. Use this outline with past questions and timed mock tests.
Mathematics
Full Marks: 501Set, Logic and Functions
- Set, real number system, intervals, absolute value, logic, connectives, laws of logic
- Function, types of functions — injective, surjective, bijective, algebraic, trigonometric, exponential and logarithmic; inverse of function, composite functions
2Algebra
- Matrices and determinants, types and properties, inverse of a matrix
- Complex numbers and polynomial equations
- Sequence and series, permutation and combination
- Binomial theorem, exponential and logarithmic series
3Trigonometry
- Trigonometric equations and general values
- Inverse trigonometric functions, principal value
- Properties of triangles, in-centre, ortho-centre and circum-centre, solution of triangles
4Coordinate Geometry
- Straight lines, pair of lines
- Circles, equations of circle in different forms, tangent and normal
- Conic sections: parabola, ellipse and hyperbola, standard equations and simple properties
- Coordinates in space, plane and its equation
5Calculus
- Limit and continuity of functions, indeterminate forms, L'Hospital's rule
- Derivatives, rules of derivatives, geometrical & physical meanings, higher order derivatives; applications: tangent and normal, rate of change, maxima and minima
- Integration, linear properties, rules of integration, standard integrals, definite integral; applications: area under a curve and area between two curves
- Differential equations: definition, order and degree; first order and first degree: variable separable, homogeneous, linear and exact equations, integrating factor
6Vectors and their Products
- Vectors in plane and space, algebra of vectors, linear combination of vectors, linearly dependent and independent set of vectors
- Product of two vectors, scalar and vector product of two vectors, scalar triple product
7Statistics and Probability
- Measures of location and measures of dispersion
- Correlation and regression
- Basic terms of probability, conditional and compound probability, additive and multiplicative rules, Bayes' theorem, binomial distribution
Physics
Full Marks: 401Mechanics
- Physical quantities, vector and kinematics: dimensions, resolution and polygon laws of vector, vector algebra, equations of motion, projectile motion, relative motion
- Newton's laws of motion and friction: conservation of linear momentum, applications in equilibrium and non-equilibrium, laws of solid friction and verification
- Work, energy and power: work–energy theorem, kinetic and potential energy, conservation of energy, conservative and non-conservative forces, elastic and inelastic collisions
- Circular motion, gravitation and SHM: centripetal force, conical pendulum, banking of track, gravitational potential, variation of g, motion of satellite, rocket launch technology, energy in SHM, spring–mass system, simple pendulum, damped and forced oscillation, resonance
- Rotational dynamics: moment of inertia, radius of gyration, rotational KE, center of gravity and center of mass, torque, conservation of angular momentum
- Elasticity: Hooke's law, Young modulus, bulk modulus, modulus of rigidity, Poisson's ratio, elastic energy
- Fluid mechanics: buoyancy, flotation, Archimedes' principle, surface tension, capillarity, viscosity, Newton, Stokes and Poiseuille's formula, Reynolds number, continuity equation, Bernoulli's equation
2Heat and Thermodynamics
- Temperature and quantity of heat: thermal equilibrium, specific heat, latent heat, method of mixture, Newton's law of cooling, triple point
- Thermal expansion: expansion of solid & liquid, measurement and applications
- Transfer of heat: conduction, convection, radiation, thermal conductivity, black body radiation, Stefan–Boltzmann law
- Thermal properties of matter: molecular properties, kinetic theory of gases, heat capacities of gases and solids
- Laws of thermodynamics: first law, heat and work, relation of specific heats, thermodynamic processes, second law, heat engine, efficiency, Carnot cycle, Otto cycle, Diesel cycle, refrigerator, entropy
3Geometric and Physical Optics
- Reflection: plane and curved mirror, mirror formula
- Refraction: plane surface, critical angle, total internal reflection, lateral shift, prism, minimum deviation, lenses, lens formula, lens maker's formula, combination of lenses, optical fiber
- Dispersion: spectrum, dispersive power, chromatic aberration, achromatism, spherical aberration, scattering of light
- Nature and propagation of light: Huygens' principle, velocity of light
- Interference: coherent sources, Young's double slit experiment
- Diffraction: Fraunhofer diffraction, diffraction grating, resolving power
- Polarization: Brewster's law, transverse nature of light, polaroid
4Waves and Sound
- Wave motion: travelling and stationary wave
- Mechanical waves: velocity of sound in solid, gas and liquid; effect of temperature, pressure, humidity
- Waves in pipes and string: closed and open pipes, resonance, resonance tube, laws of vibration of fixed string
- Acoustic phenomena: pressure amplitude, intensity level, quality and pitch, ultrasonic and infrasonic, Doppler's effect
5Electricity & Magnetism
- Electrostatics: Coulomb's law, electric field and Gauss law, potential and potential gradient, capacitors and combinations, dielectrics, energy stored, polarization and displacement
- DC circuits: Ohm's law, resistivity and conductivity, work and power, galvanometer and ohm meter, internal resistance, Joule's law, Kirchhoff's law and applications
- Thermoelectric effect: Seebeck effect, thermocouples, Peltier effect, thermopile, Thomson effect
- Magnetic effect: force on a conductor and charge, torque, Hall's effect, Biot–Savart's law, Ampere's law, force between parallel conductors
- Magnetic properties of matter: earth magnetism, magnetic materials, permeability, susceptibility, hysteresis
- Electromagnetic induction: Faraday's law, induced emf, AC generators, self and mutual induction, energy stored by inductor, transformer
- Alternating currents: RMS value, phasor diagrams of C, L and R, quality factor, power factor
6Modern Physics
- Electrons: Millikan's experiment, cathode rays, specific charge
- Photons & quantization of energy: photoelectric effect, Planck's constant, Bohr's theory, spectral series, De Broglie theory, uncertainty principle, X-ray and Bragg's law, laser
- Solids & semiconductor devices: intrinsic and extrinsic semiconductors, P–N junction, rectification, Zener diode, transistor, logic gates
- Radioactivity & nuclear reaction: atomic mass, isotopes, nuclear density, Einstein's mass–energy relation, mass defect, fission & fusion, law of radioactive disintegration, carbon dating, health hazard
- Recent trends: particle physics (quarks, leptons, baryons, mesons, Higgs boson); universe (Big Bang, Hubble’s law, dark matter, gravitational wave, black hole); seismology; telecommunication (radio, TV, mobile, GPS, remote sensing); environment (energy crisis, pollution, ozone layer); new technology (nano-technology, superconductors)
Chemistry
Full Marks: 301Physical Chemistry
- Chemical arithmetic: Dalton's atomic theory and laws of stoichiometry, atomic and molecular mass, empirical molecular formula and limiting reactants, Avogadro's hypothesis and equivalent masses
- State of matter: gaseous, liquid and solid states
- Atomic structure and periodic classification of elements
- Oxidation, reduction and equilibrium
- Volumetric analysis
- Ionic equilibrium, acid, base and salt
- Electrochemistry
- Energy of chemical reaction, chemical kinetics, chemical bonding and shape of molecules
2Inorganic Chemistry
- Non-metal: hydrogen, oxygen, ozone, water, nitrogen and its compounds, halogen, carbon, phosphorus, sulphur, noble gas and environment pollution
- Metals: metallurgical principle, alkali metals, alkaline earth metals, coinage metals: copper, silver, gold
- Extraction of metal: zinc and mercury, iron compound
3Organic Chemistry
- Introduction: fundamental principles, purification of organic compounds, nomenclature, structure isomerism and idea of reaction mechanism
- Hydrocarbons: alkanes, alkenes and alkynes, aromatic hydrocarbons
- Haloalkanes and haloarenes
- Alcohols, phenols and ethers
- Aldehydes, ketones, carboxylic acid and derivatives, aliphatic and aromatic
- Nitro compounds and amines: aromatic and aliphatic
English
Full Marks: 201Grammar I
- Sequence of tense, modals, conditions, concord/agreement (subject–verb agreement), tag questions
- Direct and indirect speech
- Kinds of sentences and transformation of sentences
2Grammar II
- Basic grammatical patterns/structures (articles and possessives, pronouns, adjectives, adverbs), conditional sentences
- Parts of speech, active and passive voice
- Verbals: infinitives, gerund and participles
- Punctuation and use of prepositions
- Vocabulary (synonyms and antonyms, homonyms, homophones, word building, suffixes and prefixes, meaning of words in context)
- Idiomatic expressions (idioms and phrases)
- Cohesive devices, coherence, discourse markers
3Phonetics
- Phonemes (vowels/consonants), phonemic symbols
- Syllables and stress (word/sentence), intonation
4Comprehension
- Comprehension of reading passages on a variety of topics and styles with special reference to General English and Technical English (contents/ideas, reading between the lines, contextual clues, reconstruction (rewording))