JEE Advanced syllabus
consists of the following:

B.Arch.
Aptitude Test (For B.Arch. only)

**General:**

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.

**Mechanics: **

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).

Thermal physics:
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 (C_{v} and
C_{p} 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.

**Electricity and
magnetism: **

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.

**Optics: **

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.

**Modern physics:**

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 waves.

**Chemistry
Syllabus**

**Physical
chemistry**

**General topics:** 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.

**Gaseous and
liquid states:** 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.

**Atomic
structure and chemical bonding:** 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).

**Energetics:** 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.

**Chemical
equilibrium: **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.

**Electrochemistry:** 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.

**Chemical
kinetics:** Rates of chemical reactions; Order of
reactions; Rate constant; First order reactions; Temperature dependence
of rate constant (Arrhenius equation).

**Solid state:** 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.

**Solutions:**
Raoult's law; Molecular weight determination from lowering of vapour
pressure, elevation of boiling point and depression of freezing point.

**Surface
chemistry:** 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).

**Nuclear
chemistry:** 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.

**Inorganic
Chemistry**

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.

**Preparation and
properties of the following compounds:** 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.

**Transition
elements (3d series):** 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 isomerisms, hybridization and geometries of mononuclear
coordination compounds (linear, tetrahedral, square planar and
octahedral).

**Preparation and
properties of the following compounds:** Oxides
and chlorides of tin and lead; Oxides, chlorides and sulphates of Fe^{2+},
Cu^{2+} and Zn^{2+};
Potassium permanganate, potassium dichromate, silver oxide, silver
nitrate, silver thiosulphate.

Ores and minerals:
Commonly occurring ores and minerals of iron, copper, tin, lead,
magnesium, aluminium, zinc and silver.

**Extractive
metallurgy:** 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).

**Principles of
qualitative analysis:** Groups
I to V (only Ag^{+}, Hg^{2+}, Cu^{2+}, Pb^{2+},
Bi^{3+}, Fe^{3+}, Cr^{3+}, Al^{3+},
Ca^{2+}, Ba^{2+}, Zn^{2+}, Mn^{2+} and
Mg^{2+}); Nitrate, halides (excluding fluoride), sulphate and
sulphide.

**Organic Chemistry**

**Concepts:** 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.

**Preparation,
properties and reactions of alkanes:** 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.

**Preparation,
properties and reactions of alkenes and alkynes:** 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.

**Reactions of
benzene:** 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.

**Phenols:** Acidity,
electrophilic substitution reactions (halogenation, nitration and
sulphonation); Reimer-Tieman reaction, Kolbe reaction.

Characteristic
reactions of the following (including those mentioned above):
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).

**Carbohydrates:** Classification;
mono- and di-saccharides (glucose and sucrose); Oxidation, reduction,
glycoside formation and hydrolysis of sucrose.

**Amino acids and
peptides:** General
structure (only primary structure for peptides) and physical properties.

**Properties and
uses of some important polymers:** Natural
rubber, cellulose, nylon, teflon and PVC.

**Practical
organic chemistry:** Detection
of elements (N, S, halogens); Detection and identification of the
following functional groups: hydroxyl (alcoholic and phenolic), carbonyl
(aldehyde and ketone), carboxyl, amino and nitro; Chemical methods of
separation of mono-functional organic compounds from binary mixtures.

**Mathematics
Syllabus**

**Algebra: **

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.

**Trigonometry: **

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).

**Analytical
geometry:**

**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.

**Three
dimensions:** Direction
cosines and direction ratios, equation of a straight line in space,
equation of a plane, distance of a point from a plane.

**Differential
calculus: **

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.

**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 domain.

Candidates are advised
to bring geometry box sets, pencils, erasers and colour pencils or
crayons for the Aptitude Test