JEE Advanced Syllabus 2015
JEE Advanced Colleges
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JEE Advanced
Physics Syllabus
Topics
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Subtopics
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General
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Units and dimensions,
dimensional analysis; least count, significant figures; Methods
of measurement and error
analysis for physical quantities pertaining to the following
experiments: Experiments based
on using Vernier calipers and screw gauge (micrometer),
Determination of g using simple
pendulum, Young’s modulus by Searle’s method, Specific heat
of a liquid using calorimeter,
focal length of a concave mirror and a convex lens using u-v
method, Speed of sound using
resonance column, Verification of Ohm’s law using voltmeter
and ammeter, and specific
resistance of the material of a wire using meter bridge and post
office box.
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Mechanics
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Kinematics in one and two
dimensions (Cartesian coordinates only), projectiles;
Uniform Circular motion;
Relative velocity.
Newton’s laws of motion;
Inertial and uniformly accelerated frames of reference; Static and
dynamic friction; Kinetic and
potential energy; Work and power; Conservation of linear
momentum and mechanical energy.
Systems of particles; Centre of
mass and its motion; Impulse; Elastic and inelastic collisions.
Law of gravitation;
Gravitational potential and field; Acceleration due to gravity; Motion of
planets and satellites in
circular orbits; Escape velocity.
Rigid body, moment of inertia,
parallel and perpendicular axes theorems, moment of inertia of
uniform bodies with simple
geometrical shapes; Angular momentum; Torque; Conservation of
angular momentum; Dynamics of
rigid bodies with fixed axis of rotation; Rolling without slipping
of rings, cylinders and
spheres; Equilibrium of rigid bodies; Collision of point masses with rigid
bodies.
Linear and angular simple
harmonic motions.
Hooke’s law, Young’s modulus.
Pressure in a fluid; Pascal’s
law; Buoyancy; Surface energy and surface tension, capillary rise;
Viscosity (Poiseuille’s
equation excluded), Stoke’s law; Terminal velocity, Streamline flow,
equation of continuity,
Bernoulli’s theorem and its applications.
Wave motion (plane waves only),
longitudinal and transverse waves, superposition of waves;
Progressive and stationary
waves; Vibration of strings and air columns;Resonance; Beats;
Speed of sound in gases;
Doppler effect (in sound).
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Thermal Physics
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Thermal expansion of solids, liquids and gases;
Calorimetry, latent heat; Heat
conduction in one dimension; Elementary concepts of
convection and radiation; Newton’s law of
cooling; Ideal gas laws; Specific heats (Cv and Cp
for monoatomic and diatomic gases);
Isothermal and adiabatic processes, bulk modulus of
gases; Equivalence of heat and work; First
law of thermodynamics and its applications (only
for ideal gases); Blackbody radiation:
absorptive and emissive powers; Kirchhoff’s law;
Wien’s displacement law, Stefan’s law.
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Electricity and
Magnetism
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Coulomb’s law; Electric field and potential;
Electrical potential
energy of a system of point charges and of
electrical dipoles in a uniform electrostatic field;
Electric field lines; Flux of electric field;
Gauss’s law and its application in simple cases, such as,
to find field due to infinitely long straight wire,
uniformly charged infinite plane sheet and
uniformly charged thin spherical shell.
Capacitance; Parallel plate capacitor with and
without dielectrics; 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 simple applications; Heating
effect of current.
Biot–Savart’s law and Ampere’s law; Magnetic field
near a current-carrying straight wire, along
the axis of a circular coil and inside a long
straight solenoid; Force on a moving charge and on a
current-carrying wire in a uniform magnetic field.
Magnetic moment of a current loop; Effect of a
uniform magnetic field on a current loop; Moving
coil galvanometer, voltmeter, ammeter and their
conversions.
Electromagnetic induction: Faraday’s law, Lenz’s
law; Self and mutual inductance; RC, LR and
LC circuits with D.C. and A.C. sources.
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Optics
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Rectilinear propagation of light; Reflection and
refraction at plane and spherical
surfaces; Total internal reflection; Deviation and
dispersion of light by a prism; Thin lenses;
Combinations of mirrors and thin lenses;
Magnification.
Wave nature of light: Huygen’s principle,
interference limited to Young’s double-slit experiment.
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Mordern Physics
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Atomic nucleus; Alpha, beta and gamma radiations;
Law of radioactive
decay; Decay constant; Half-life and mean life;
Binding energy and its calculation; Fission and
fusion processes; Energy calculation in these
processes.
Photoelectric effect; Bohr’s theory of
hydrogen-like atoms; Characteristic and continuous X-rays,
Moseley’s law; de Broglie wavelength of matter
wave.
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JEE Chemistry
Syllabus
Topic
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Subtopic
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General Topics
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Concept of atoms and molecules; Dalton’s atomic
theory; Mole concept;
Chemical formulae; Balanced chemical equations;
Calculations (based on mole concept)
involving common oxidation-reduction,
neutralisation, and displacement reactions;
Concentration in terms of mole fraction, molarity,
molality and normality.
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Gaseous and Liquid States
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Absolute scale of temperature, ideal gas equation;
Deviation from
ideality, van der Waals equation; Kinetic theory of
gases, average, root mean square and most
probable velocities and their relation with
temperature; Law of partial pressures; Vapour
pressure; Diffusion of gases.
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Atomic Bonding and Chemical Structure
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Bohr model, spectrum of hydrogen atom, quantum
numbers; Wave-particle duality, de Broglie
hypothesis; Uncertainty principle; Qualitative
quantum mechanical picture of hydrogen atom, shapes
of s, p and d orbitals; Electronic
configurations of elements (up to atomic number
36); Aufbau principle; Pauli’s exclusion
principle and Hund’s rule; Orbital overlap and
covalent bond; Hybridisation involving s, p and d
orbitals only; Orbital energy diagrams for
homonuclear diatomic species; Hydrogen bond;
Polarity in molecules, dipole moment (qualitative
aspects only); VSEPR model and shapes of
molecules (linear, angular, triangular, square
planar, pyramidal, square pyramidal, trigonal
bipyramidal, tetrahedral and octahedral)
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Energetics
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First law of thermodynamics;
Internal energy, work and heat, pressure-volume
work; Enthalpy, Hess’s law;
Heat of reaction, fusion and vapourization; Second law of
thermodynamics; Entropy; Free
energy; Criterion of spontaneity.
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Chemical Equibrilium
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Law of mass action; Equilibrium
constant, Le Chatelier’s principle
(effect of concentration,
temperature and pressure); Significance of ΔG and ΔG° in chemical
equilibrium; Solubility
product, common ion effect, pH and buffer solutions; Acids and bases (Bronsted
and Lewis concepts); Hydrolysis of salts.
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Electrochemistry
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Electrochemical cells and cell
reactions; Standard electrode potentials;
Nernst equation and its
relation to ΔG; Electrochemical series, emf of galvanic cells; Faraday’s laws
of electrolysis; Electrolytic conductance, specific, equivalent and molar
conductivity, Kohlrausch’s law; Concentration cells.
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Chemical Kinetics
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Rates of chemical reactions;
Order of reactions; Rate constant; First order
reactions; Temperature
dependence of rate constant (Arrhenius equation).
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Soild State
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Classification of solids,
crystalline state, seven crystal systems (cell parameters a,
b, c, α, β, γ), close packed
structure of solids (cubic), packing in fcc, bcc and hcp lattices;
Nearest neighbours, ionic radii,
simple ionic compounds, point defects.
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Solutions
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Raoult’s law; Molecular weight
determination from lowering of vapour pressure,
elevation of boiling point and
depression of freezing point.
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Surface Chemistry
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Elementary concepts of
adsorption (excluding adsorption isotherms);
Colloids: types, methods of
preparation and general properties; Elementary ideas of emulsions,
surfactants and micelles (only definitions and examples)
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Nuclear Chemistry
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Radioactivity: isotopes and
isobars; Properties of α, β and γ rays; Kinetics
of radioactive decay (decay
series excluded), carbon dating; Stability of nuclei with respect to
proton-neutron ratio; Brief discussion on fission and fusion reactions.
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Inorganic Chemistry
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Isolation/Preparation and
Properties of the following Non-Metals:
Boron, silicon, nitrogen,
phosphorus, oxygen, sulphur and halogens; Properties of allotropes of carbon
(only diamond and graphite), phosphorus and sulphur.
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Preparation and Properties of compunds
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Oxides, peroxides, hydroxides,
carbonates, bicarbonates, chlorides and sulphates of sodium, potassium,
magnesium and calcium; Boron: diborane, boric acid and borax; Aluminium:
alumina, aluminium chloride and alums; Carbon: oxides and oxyacid (carbonic
acid); Silicon:
silicones, silicates and
silicon carbide; Nitrogen: oxides, oxyacids and ammonia; Phosphorus: oxides,
oxyacids (phosphorus acid, phosphoric acid) and phosphine; Oxygen: ozone and
hydrogen peroxide; Sulphur: hydrogen sulphide, oxides, sulphurous acid,
sulphuric acid and
sodium thiosulphate; Halogens:
hydrohalic acids, oxides and oxyacids of chlorine, bleaching powder; Xenon
fluorides.
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Transistional Elements (3d)
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Definition, general
characteristics, oxidation states and their stabilities, colour (excluding
the details of electronic transitions) and calculation of spin-only magnetic
moment; Coordination compounds: nomenclature of mononuclear coordination
compounds, cis-trans and ionisation somerisms, hybridization and geometries
of mononuclear coordination compounds (linear, tetrahedral, square planar and
octahedral).
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Preparation and properties of the following
compounds
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Oxides and chlorides of tin and
lead; Oxides, chlorides and sulphates of Fe2+, Cu2+ and Zn2+; Potassium
permanganate, potassium dichromate, silver oxide, silver nitrate, silver
thiosulphate
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Ores and Minerals
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Commonly occurring ores and
minerals of iron, copper, tin, lead, magnesium, aluminium, zinc and silver.
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Extractive Metallurgy
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Chemical principles and
reactions only (industrial details excluded); Carbon reduction method (iron
and tin); Self reduction method (copper and lead); Electrolytic reduction
method (magnesium and aluminium); Cyanide process (silver and gold).
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Principles and Qualitative Analysis
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Groups I to V (only Ag+, Hg2+,
Cu2+, Pb2+, Bi3+, Fe3+, Cr3+, Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+);
Nitrate, halides (excluding fluoride), sulphate and sulphide.
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Organic Chemistry Concepts
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Hybridisation of carbon; Sigma and pi-bonds; Shapes
of simple organic molecules;
Structural and geometrical isomerism; Optical
isomerism of compounds containing up to two asymmetric centres, (R,S and E,Z
nomenclature excluded); IUPAC nomenclature of simple organic compounds (only
hydrocarbons, mono-functional and bi-functional compounds); Conformations of
ethane and butane (Newman projections); Resonance and hyperconjugation;
Keto-enol tautomerism; Determination of empirical and molecular formulae of
simple
compounds (only combustion
method); Hydrogen bonds: definition and their effects on physical properties
of alcohols and carboxylic acids; Inductive and resonance effects on acidity
and basicity of organic acids and bases; Polarity and inductive effects in
alkyl halides; Reactive intermediates produced during homolytic and heterolytic
bond cleavage; Formation, structure and stability of carbocations, carbanions
and free radicals.
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Preparation, Properties and Reactions of Alkanes
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Homologous series, physical properties of alkanes
(melting points, boiling points and density); Combustion and halogenation of
alkanes; Preparation of alkanes by Wurtz reaction and decarboxylation
reactions.
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Preparation, Properties and Reactions of Alkenes
And Alkynes
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Physical properties of alkenes and alkynes (boiling
points, density and dipole moments); Acidity of alkynes; Acid catalysed
hydration of alkenes and alkynes (excluding the stereochemistry of addition
and elimination); Reactions of alkenes with KMnO4 and ozone; Reduction of
alkenes and alkynes; Preparation of alkenes and alkynes by elimination reactions;
Electrophilic addition
reactions of alkenes with X2, HX, HOX (X=halogen)
and H2O; Addition reactions of alkynes; Metal acetylides.
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Reactions of Benzene
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Structure and aromaticity; Electrophilic
substitution reactions:
halogenation, nitration, sulphonation,
Friedel-Crafts alkylation and acylation; Effect of o-, m- and p-directing
groups in monosubstituted benzenes.
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Phenols
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Acidity, electrophilic substitution reactions
(halogenation, nitration and sulphonation); Reimer-Tieman reaction, Kolbe
reaction.
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Characteristic reactions of the following
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Alkyl halides: rearrangement reactions of alkyl
carbocation, Grignard reactions, nucleophilic substitution reactions;
Alcohols: esterification, dehydration and oxidation, reaction with sodium,
phosphorus halides, ZnCl2/concentrated HCl, conversion of alcohols into
aldehydes and ketones; Ethers:Preparation by Williamson’s Synthesis;
Aldehydes and Ketones: oxidation, reduction, oxime and hydrazone formation;
aldol condensation, Perkin reaction; Cannizzaro
reaction; haloform reaction and nucleophilic
addition reactions (Grignard addition); Carboxylic acids: formation of
esters, acid chlorides and amides, ester hydrolysis; Amines: basicity of
substituted anilines and aliphatic amines, preparation from nitro compounds,
reaction with nitrous acid, azo coupling reaction of diazonium salts of
aromatic amines, Sandmeyer and
related reactions of diazonium salts; carbylamine
reaction; Haloarenes: nucleophilic aromatic substitution in haloarenes and
substituted haloarenes (excluding Benzyne mechanism and Cine
substitution).
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Carbohydrates
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Classification; mono- and di-saccharides (glucose
and sucrose); Oxidation,
reduction, glycoside formation and hydrolysis of
sucrose.
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Amino Acids And Peptides
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General structure (only primary structure for
peptides) and
physical properties.
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Properties and Uses of Some Important Polymers
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Natural rubber, cellulose, nylon, teflon
and PVC.
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Practical Organic Chemistry
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JEE Advanced Mathematics Syllabus
Topics
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Subtopics
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Algebra
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Algebra of complex numbers,
addition, multiplication, conjugation, polar
representation, properties of
modulus and principal argument, triangle inequality, cube roots of unity,
geometric interpretations.
Quadratic equations with real
coefficients, relations between roots and coefficients, formation of
quadratic equations with given roots, symmetric functions of roots.
Arithmetic, geometric and
harmonic progressions, arithmetic, geometric and harmonic means, sums of
finite arithmetic and geometric progressions, infinite geometric series, sums
of squares and cubes of the first n natural numbers.
Logarithms and their
properties.
Permutations and combinations,
Binomial theorem for a positive integral index, properties of binomial
coefficients.
Matrices as a rectangular array
of real numbers, equality of matrices, addition, multiplication by a scalar
and product of matrices, transpose of a matrix, determinant of a square
matrix of order up to three, inverse of a square matrix of order up to three,
properties of these matrix
operations, diagonal, symmetric
and skew-symmetric matrices and their properties, solutions of simultaneous
linear equations in two or three variables.
Addition and multiplication
rules of probability, conditional probability, Bayes Theorem, independence of
events, computation of probability of events using permutations and
combinations.
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Trignometery
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Trigonometric functions, their
periodicity and graphs, addition and subtraction
formulae, formulae involving
multiple and sub-multiple angles, general solution of trigonometric
equations. Relations between sides and angles of a triangle, sine rule,
cosine rule, half-angle formula and the area of a triangle, inverse
trigonometric functions (principal value only).
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Analytical Geometery
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Two Dimensions: Cartesian
coordinates, distance between two points, section formulae, shift
of origin. 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, equation of
the bisector of the angle between two lines, concurrency of lines; Centroid,
orthocentre, incentre and circumcentre of a triangle.
Equation of a circle in various
forms, equations of tangent, normal and chord. Parametric equations of a
circle, intersection of a circle with a straight line or a circle, equation
of a circle through the points of intersection of two circles and those of a
circle and a straight line.
Equations of a parabola,
ellipse and hyperbola in standard form, their foci, directrices and
eccentricity, parametric equations, equations of tangent and normal.
Locus Problems.
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Three Dimensions
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Direction cosines and direction
ratios, equation of a straight line in space,
equation of a plane, distance
of a point from a plane.
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Differential Calculus
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Real valued functions of a real
variable, into, onto and one-to-one
functions, sum, difference,
product and quotient of two functions, composite functions, absolute value,
polynomial, rational, trigonometric, exponential and logarithmic functions.
Limit and continuity of a
function, limit and continuity of the sum, difference, product and quotient
of two functions, L’Hospital rule of evaluation of limits of functions. Even
and odd functions, inverse of a function, continuity of composite functions,
intermediate value property of continuous functions.
Derivative of a function,
derivative of the sum, difference, product and quotient of two functions,
chain rule, derivatives of polynomial, rational, trigonometric, inverse
trigonometric, exponential and logarithmic functions.
Derivatives of implicit
functions, derivatives up to order two, geometrical interpretation of the
derivative, tangents and normals, increasing and decreasing functions,
maximum and minimum values of a function, Rolle’s Theorem and Lagrange’s Mean
Value Theorem.
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Integral Calculus
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Integration as the inverse
process of differentiation, indefinite integrals of
standard functions, definite
integrals and their properties, Fundamental Theorem of Integral
Calculus.
Integration by parts,
integration by the methods of substitution and partial fractions, application
of definite integrals to the determination of areas involving simple curves.
Formation of ordinary
differential equations, solution of homogeneous differential equations,
separation of variables method, linear first order differential equations.
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Vectors
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Addition of vectors, scalar
multiplication, dot and cross products, scalar triple products and their
geometrical interpretations
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Syllabus for Apptitude Test for B.Arch Programmes
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Freehand drawing: This would comprise of simple drawing depicting
the total object in its right form and proportion, surface texture, relative
location and details of its component parts in appropriate scale. Common
domestic or day-to-day life usable objects like furniture, equipment, etc.,
from memory.
Geometrical drawing: Exercises in geometrical drawing containing
lines, angles, triangles, quadrilaterals, polygons, circles etc. Study of
plan (top view), elevation (front or side views) of simple solid objects like
prisms, cones, cylinders, cubes, splayed surface holders etc.
Three-dimensional perception: Understanding and appreciation of
three-dimensional forms with building elements, colour, volume and
orientation. Visualization through structuring objects in memory.
Imagination and aesthetic sensitivity: Composition exercise with
given elements. Context mapping. Creativity check through innovative uncommon
test with familiar objects. Sense of colour grouping or application.
Architectural awareness: General interest and awareness of famous
architectural creations both national and international, places and
personalities (architects, designers etc. ) in the related domai
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