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Syllabus for Screening Test
Mathematics
Physics
Chemistry
Syllabus for Main Examination
Mathematics
Physics
Chemistry
Syllabus for Aptitude Test
For
admission to B.Arch.
For
admission to B.Des.
Algebra:Algebra of complex numbers, modulus and argument,
triangle inequality, nth roots of unity.
Theory of quadratic equations and quadratic
expressions, relationship between the roots and coefficients, sign of a quadratic
expression, greatest and least values of a quadratic expression.
Arithmetic, geometric and harmonic progressions,
sums of arithmetic, geometric and harmonic progressions, infinite geometric series, sums
of the squares and cubes of the first n natural numbers.
Permutations and combinations, Binomial theorem
for a positive integral index.
Determinants of order two and three, solutions
of simultaneous linear equations in two and three variables.
Trigonometry: Trigonometric functions and their graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations, relations between the sides and angles of a triangle, properties of a triangle, solutions of triangles, heights and distances, trigonometric functions.
Analytical geometry of two dimensions: Equation of a straight line in various forms, angle
between two lines, distance of a point from a line, lines through the point of
intersection of two given lines, concurrency of lines.
Equation of a circle in various forms, equations
of tangent and normal, intersection of a circle with a straight line, equation of a circle
through the points of intersection of two circles and that of a circle and a straight
line.
Equation of a parabola in the standard forms,
focus, directrix, parametric equations, equations of tangent and normal.
Calculus: Into, onto and one-to-one functions.
Sum, difference, product and quotient of two functions, composite function; absolute
value, greatest integer, polynomial, rational, trigonometric, exponential and logarithmic
functions, even and odd functions, inverse of a function.
Limit and continuity of a function, limit and
continuity of the sum, difference, product and quotient of two functions, continuity of
composite function. Derivative of a function, derivative of the sum, difference, product
and quotient of two functions, derivative of composite and implicit functions, derivatives
of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic
functions.
Geometrical interpretation of derivative,
tangents and normals, monotonicity, maximum and minimum values of a function.
Derivatives up to order three.
Integration: As the inverse process of
differentiation, integration by parts, integration by the methods of substitution and
partial fractions.
Properties of definite integrals.
Vectors: Addition of vectors, scalar product, cross product, scalar and vector triple products.
Mechanics: Units and dimensions; Kinematics in one and two
dimensions; Circular motion; Relative motion.
Newton's laws of motion; Inertial and uniformly
accelerated frames of reference; Force; Spring force; Static and dynamic frictions;
Kinetic and potential energy; Work and Power; Linear Momentum; Conservation of linear
momentum and energy; Linear and angular simple harmonic motions.
Law of gravitation; Gravitational potential and
field; Acceleration due to gravity; Motion of planets and satellites in circular orbits.
Systems of particles; Centre of mass and its
motion; Elastic and inelastic collisions; Moment of inertia; Parallel and perpendicular
axes theorems; Moment of inertia of bodies having simple geometrical shapes, e.g., uniform
ring, disc, thin rod and cylinder; Angular momentum; Torque; Conservation of angular
momentum.
Hooke's law. Young's modulus.
Buoyancy; Pressure in a fluid; Bernoulli's
theorem.
Wave motion; Longitudinal and transverse waves;
Superposition of waves; Progressive and stationary waves; Vibration of strings and air
columns; Resonance; Beats; Speed of sound; Doppler effect (in sound).
Thermal Physics: Thermal expansion of solids, liquids and gases;
Elements of the Kinetic theory of gases; Ideal gas laws; Specific heats and their ratio;
Isothermal and adiabatic processes; First law of thermodynamics; Calorimetry; Latent heat;
Equivalence of heat and work.
Heat conduction in one dimension; Elementary
concepts of convection and radiation; Newton's law of cooling; Black body radiation:
absorptive and emissive powers; Kirchhoff's law.
Electricity and Magnetism: Coulomb's law; Electric field and potential; Lines of
force.
Capacitance; Dielectric constant; Parallel plate
capacitor; Capacitors in series and parallel; Energy stored in a capacitor.
Electric current: Ohm's law; Series and parallel
arrangements of resistances and cells; Kirchhoff's laws and applications to networks;
Charging and discharging of capacitor; Heating effect of current.
Ampere's law and Biot-Savart law; Force on a
moving charge and on a current-carrying wire in a magnetic field.
Magnetic moment of a current loop; Effect of a
uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter and ammeter.
Electromagnetic induction: Faraday's law; Lenz's
law; Self and mutual inductance; Growth and decay of current in an L-R circuit.
Optics: Rectilinear propagation of light; Reflection and
refraction at plane and curved surfaces; Total internal reflection; Deviation and
dispersion of light by a prism; Thin lenses; Combinations of mirrors and thin lenses;
Magnification; Microscope and telescope.
Wave nature of light: interference, Young's
double slit experiment; fringe width.
Alpha, beta and gamma radiations; Law of
radioactive decay; Decay constant; Half-life and mean life;
Bohr's theory of hydrogen like atoms;
Characteristic and continuous X-rays.
Physical Chemistry: The concept of atoms and molecules; laws of chemical
combination; mole concept; chemical formulae, balanced chemical equations, concentration
in terms of mole fraction, molarity, molality and normality.
Gaseous, liquid and solid states; absolute scale
of temperature, ideal gas equation; kinetic theory of gases, average, root mean square and
most probable velocities and their relation with temperature; law of partial pressures;
vapour pressure; surface tension and viscosity; classification of solids, crystalline
state; seven crystal systems (only cell parameters a, b, c, 
, 
, and 
close packed structure of
solids - only cubic).
Atomic structure: Rutherford model, Bohr model,
quantum numbers, electronic configuration of elements (upto atomic number 36), Aufbau
principle, Pauli's exclusion principle, and Hund's rule.
Periodicity of properties of elements:
classification of elements into s, p, and d block; periodicity in properties with respect
to atomic and ionic radii, ionisation energy, electron affinity, electronegativity,
oxidation state, metallic and non-metallic character and trends in reactivity.
Bonding and molecular structure: Lewis
structures; orbital overlap and covalent bond; hybridisation involving s and p and d
orbitals only; co-ordinate covalent bond, ionic bond, hydrogen bond; molecular shapes;
linear, angular, planar, pyramidal, tetrahedral, and octahedral.
Energetics: Ist law of thermodynamics; Internal
energy; enthalpy; Hess's law; heat of reaction, fusion, and vaporisation.
Chemical equilibrium: chemical equilibria; law
of mass action, reaction quotient; equilibrium constant; dependence on concentration;
temperature and pressure, solubility product, common ion effect.
Electrochemistry: Electrochemical cells and cell
reactions; standard electrode potential and electrochemical series; emf of a galvanic
cell.
Chemical kinetics: Rates of chemical reactions;
order of reaction; rate constant; effect of concentration and temperature (excluding
Arrhenius equation).
Inorganic Chemistry: Isolation/preparation and properties of the following
non-metals: Nitrogen, phosphorous, oxygen, sulphur, fluorine, chlorine, bromine and
iodine. Properties of allotropes of carbon (graphite and diamond only); preparation and
properties of ozone.
Preparation and properties of the following
compounds: Oxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates of
sodium, potassium, magnesium and calcium, alumina, aluminium chloride and alums, hydrogen
peroxide; carbon: oxides and carbides; nitrogen; oxides; oxyacids and ammonia;
phosphorous: oxides and oxyacids (meta- nd orthophosphoric acids); Boron: diborane;
silicon: silicates; sulphur: oxides, sulphurous and sulphuric acids, sodium thiosulphate
and hydrogen sulphide; halogens: hydrohalic acids, oxyacids of chlorine, bleaching powder.
Preparation and properties of the following
compounds: Ferrous sulphate, ferric chloride, Mohr's salt, ferric oxide, copper sulphate,
oxide and sulphate of zinc.
Principles of qualitative analysis: Group I to V
excluding interfering radicals.
Ores and minerals: Commonly occurring ores of
iron, copper, lead, magnesium and aluminium.
Extractive metallurgy (Chemical principles and
reactions only; industrial details excluded): Carbon reduction method (iron), self
reduction method (copper and lead), electrolytic reduction method (magnesium and
aluminium).
Organic Chemistry: Concepts of hybridisation of carbon, sigma and
pi-bonds. Resonance.
Homologous series, structural and geometrical
isomerism, optical isomerism of compounds containing one asymmetric centre only. IUPAC
nomenclature of simple organic compounds (hydrocarbons and mono functional compounds
only).
Inductive and resonance effects on acidity and
basicity of acids and bases respectively.
Polarity and inductive effects in alkyl halides.
Reactive intermediates produced during homolytic and heterolytic bond cleavage. Formation,
structure and stability of Alkyl carbocations and free radicals.
Physical properties of alkanes (mp, bp and
density), combustion and halogenation of alkanes. Preparation of alkanes by Wurtz coupling
and decarboxylation reaction.
Structure and physical properties of alkenes and
alkynes (bp, density, dipole moment), acidity of alkynes. Preparation of alkenes and
alkynes by elimination reaction. Electrophilic addition reaction of alkenes with Br2
HBr, HOCl. Reactions of alkynes: Metal acetylides.
Benzene: structure and aromaticity.
Electrophilic substitution reactions; bromination, nitration, sulfonation (orientation
excluded). Phenols: acidity, electrophilic reaction (halogenation, nitration and
sulphonation).
Characteristic reactions of the followings:
Alcohol (esterification, dehydration and oxidation). Reaction of alcohols with sodium,
phosphorous halides, ZnCl2/Conc. HCl. Alkyl halides (nucleophilic substitution
reactions). Aldehydes and ketones (oxidation, reduction, oxime and hydrazone formation).
Carboxylic acids (formation of esters, acid chlorides and amides).
In addition to the topics mentioned above, the following are also included.
Algebra: Mathematical induction.
Analytical geometry of two dimensions: Equations of the conic sections in the standard form, focus, directrix, eccentricity of the conic sections, parametric equations, equations of tangent and normal.
Integration: Definite integral and its application for the determination of areas.
Differential equations: Formation of differential equations. First order equation, variable separable method and homogeneous equations.
Probability: Addition and multiplication laws, conditional probabilities.
Vectors: Applications in geometry.
In addition to the topics mentioned above, the following are also included.
Mechanics: Projectiles, Kepler's laws of planetary motion; equilibrium of rigid bodies; Shear and bulk moduli of elasticity.
Thermal Physics: Stefan's law of radiation; Wien's displacement law of
black body radiation.
Elements of the kinetic theory of gases.
Pressure and temperature of an ideal gas.
Electricity and Magnetism: Charging and discharging of a capacitor; L-C oscillation in electrical circuits
Optics: Spherical aberration in lenses; elementary concepts of diffraction by a single slit.
Modern Physics: Photoelectric effect. De Broglie wavelength of matter
waves. Properties of X-rays. Atomic nucleus; binding energy and its calculation. Fission
and fusion processes; energy calculations in these processes.
Elenentary concepts of metals, insulators and
semiconductors. Intrinsic and extrinsic semiconductors; p-n junction as a rectifier;
transistors: quantitative application as amplifier (in common emitter mode) and
oscillator.
In addition to the topics mentioned above, the following are also included.
Physical Chemistry: Calculations involving common
oxidation-reduction, neutralisation, and displacement reactions.
Gaseous, liquid and solid states: ideal gas
equation, deviation from ideality (compression factor, Z); van der Waal's equation;
diffusion of gases, packing fcc, bcc, hcp; nearest neighbours, simple ionic compounds,
point defects.
Atomic structure: spectrum of hydrogen atom;
de-Broglie relations, uncertainty principle, quantum mechanical model; shapes of s, p, and
d orbitals.
Bonding and molecular structure: Orbital energy
diagrams for diatomic species; polarity in molecules, dipole moment (qualitative aspects
only); VSEPR model and shapes of molecules (square plane).
Energetics: Second law of thermodynamics; work
and heat; Hess's law; pressure-volume work.
Chemical equilibrium: chemical equilibria
including phase equilibria, relation between kp and Kc;
Le-Chatelier's principle and its applications; effect of concentration, temperature and
pressure on equilibrium, significance of
Go in chemical equilibrium, pH and buffer
solutions; acids and bases (Bronsted and Lewis), hydrolysis of salts.
Electrochemistry: Faraday's laws of
electrolysis; Nernst equation and G.
Solutions: Raoult's law; molecular weight
determination from lowering of vapour pressure, elevation of boiling point and depression
of freezing point.
Chemical kinetics: kinetics of first order
reactions, Arrhenius equation.
Surface Chemistry: elementary concepts in
adsorption (excluding adsorption isotherms), colloids, emulsions, surfactants and micelles
(definitions and examples only).
Nuclear Chemistry: radioactivity, properties
of , , and -rays, kinetics of
radioactive decay (decay series excluded); stability of nuclei with respect to
proton-neutron ratio.
Inorganic Chemistry: Isolation/preparation and properties of the following
non-metals: Silicon
Preparation and properties of the following
compounds: Boron: boric acid and borax; Silicon: silicones, silicates and silicon
carbides; Fertilizers: commercially available (common) NPK type; Tin and lead: Oxides and
chlorides.
Preparation and properties of XeF2,
XeF4 and XeF6. Transition elements (only the first row, 3d series):
Definition, Werner's approach to coordination compounds, general characteristic properties
[viz., variable oxidation states, colour excluding the details of electronic
transition)], calculation of spin-only magnetic moment, formation of complexes
(stereochemistry excluded), nomenclature of simple coordination compounds, valence bond
approach to define geometries of coordination compounds of linear, tetrahedral, octahedral
and square planar geometries.
Preparation and properties of the following
compounds: Potassium Permanganate, Potassium dichromate, silver oxide, silver nitrate,
silver bromide, silver thiosulphate.
Ores and minerals: Tin and silver.
Extractive metallurgy (Chemical principles and
reactions only; industrial details excluded): Carbon reduction method (tin); cyanide
process (silver, gold).
Organic Chemistry: Optical isomerism of compounds containing two
asymmetric centres only (R/S and E/Z nomenclature excluded), Keto-enol tautomerism. IUPAC
nomenclature of bifunctional compounds; Determination of empirical and molecular formula
of
simple compounds (combustion method).
Hydrogen bonds and their effects on physical
properties of alcohols and carboxylic acids.
Conformation of ethane; Alkenes and alkynes;
acid catalyzed hydration (Stereochemistry of addition and elimination excluded). Reaction
of alkene with KMnO4 and Ozone. reduction and hydration of alkynes.
Benzene: Friedel Crafts alkylation and
acylation. Effect of o, m, p directing groups in mono substituted benzenes.
Characteristic reactions of the following: Alkyl
halides (rearrangement of alkyl carbocations). Aldehydes and ketones (Aldol condensation,
Perkin reaction, Canizzaro reaction, haloform and Grignard reaction only). Phenol: Acidity
of phenols, halogenation, nitration, sulfonation and Riemer-Tiemann reaction. Amines:
Basicity of aniline and aliphatic amine, Preparation from nitro compounds, reaction with
nitrous acid, formation and reactions of diazonium salts, and its coupling with phenols,
carbylamine reaction. Nucleophilic aromatic substitution in haloarenes and substituted
haloarenes (excluding Benzyne mechanism and Cine substitution).
Carbohydrates: classification - mono, di and
polysaccharides (glucose, surcose and starch only); hydrolysis of sucrose.
Amino acids and Peptides: General structure and
physical properties.
Properties and uses of some important polymers
(natural Rubber, Cellulose, Nylon, teflon, PVC).
Basic Awareness of Design and Architechure; Construction of lines, curves, planes and volumes - freehand and geometric.
Transformation of forms both 2D and 3D union, subtraction, rotation, development of surfaces and volumes; Generation of plan, elevations, and 3D views of objects; Simple design projects in 2D and 3D; Colour sense and concepts- shading and colouring; perception of light , Shade and shodow; Quizzes to understand the aesthetic sensitivity/appreciation, composition, space relationship, visual logic, observation of object details, proportion and scale; Drawing from emmory of any familiar object or given scenario; pictogram analyses, sense of assimilation, synthesis of discrete components for design; Test of imagination and expression; Lettering skill freehand and geometric.
Candidates are advised to bring geometry box sets, pencils, erasers and coloured pencils/crayons (pastel colours) for the aptitude tests.
Last Updated on: July 29, 2001