| Section | Unit | Topic |
|---|---|---|
| Physical chemistry | General topics | Concept of atoms and molecules |
| Dalton's atomic theory | ||
| Mole concept | ||
| Chemical formula | ||
| Balanced chemical equations | ||
| Calculations 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 | ||
| Orbital energy diagrams for homonuclear diatomic species | ||
| Hydrogen bond | ||
| Polarity in molecules | ||
| Dipole moment | ||
| VSEPR model and shapes of molecules | ||
| 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 | ||
| Significance of δg and δg0 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 conductivity | ||
| 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 | Solid state: Classification of solids | |
| Crystalline state | ||
| Seven crystal systems (cell parameters a, b, c, α, β, γ) | ||
| Close packed structure of solids | ||
| 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 | |
| Colloids: types, methods of preparation and general properties | ||
| Elementary ideas of emulsions, surfactants and micelles | ||
| Nuclear chemistry | Radioactivity | |
| Isotopes and Isobars | ||
| Properties of α, β and γ rays | ||
| Kinetics of radioactive decay | ||
| 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: silicones, silicates and silicon carbide | ||
| Nitrogen | ||
| Phosphorus | ||
| Oxygen | ||
| Sulphur: hydrogen sulphide, oxides, sulphurous acid, sulphuric acid and sodium thiosulphate | ||
| Halogens: hydrohalic acids, oxides and oxyacids of chlorine, bleaching powder | ||
| Properties of allotropes | Properties of allotropes of carbon (only diamond and graphite), phosphorus and sulphur | |
| Preparation and properties of 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 | ||
| 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 thiosulfate | ||
| 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 | ||
| Co-ordination compounds: nomenclature of mononuclear coordination compounds, cistrans and ionisation isomerisms, hybridization and geometries of mononuclear coordination compounds (linear, tetrahedral, square planar and octahedral) | ||
| 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 | |
| Carbon reduction method (iron and tin) | ||
| Self-reduction method copper (copper and lead) | ||
| Electrolytic reduction method (magnesium and aluminium) | ||
| Cyanide process (silver and gold) | ||
| Principles of qualitative analysis | Groups I to V elements (only Ag+, Hg2+, Cu2+, Pb2+, Bi3+, Fe3+, Cr3+, Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+) | |
| Nitrate | ||
| Halides (excluding fluoride) | ||
| Sulphate and sulphide | ||
| Organic chemistry | Concepts | Hybridisation of carbon |
| Σ and π-bonds | ||
| Shapes of simple organic molecules | ||
| Structural and geometrical isomerism | ||
| Optical isomerism of compounds containing up to two asymmetric centres | ||
| IUPAC nomenclature of simple organic compounds | ||
| Conformations of ethane and butane | ||
| Resonance and hyper conjugation | ||
| Keto-enol tautomerism | ||
| Determination of empirical and molecular formulae of simple compounds | ||
| 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 | ||
| 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 | |
| Acidity of alkynes | ||
| Acid catalysed hydration of alkenes and alkynes | ||
| 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 and H2O (X=halogen) | ||
| 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 mono substituted benzenes | ||
| Phenols | Acidity | |
| Electrophilic substitution reactions, halogenation, nitration, sulphonation, Friedel-Crafts alkylation and acylation | ||
| 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 | ||
| 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 | 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 | Matrices as a rectangular array of real numbers | |
| Equality of matrices | ||
| Addition and 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 | ||
| Probability | 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 and 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 | ||
| In centre 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 and 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's 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, its geometrical and physical significance | ||
| 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 | ||
| Integral calculus | Integration as the inverse process of differentiation | |
| Definite integrals and their properties | ||
| Fundamental theorem of integral calculus | ||
| Integration by parts | ||
| 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 | ||
| Vectors | Addition of vectors | |
| Scalar multiplication | ||
| Dot and cross products | ||
| Scalar triple products and their geometrical interpretations | ||
| Physics | General | Units and dimensions |
| Dimensional analysis | ||
| Least count | ||
| Significant figures | ||
| Methods of measurement and error analysis for physical quantities pertaining to the experiments based on using Vernier callipers and screw gauge | ||
| Methods of measurement and error analysis for physical quantities pertaining to the experiments based on determination of g using simple pendulum | ||
| Methods of measurement and error analysis for physical quantities pertaining to the experiments based on young's modulus by Searle's method | ||
| Methods of measurement and error analysis for physical quantities pertaining to the experiments based on specific heat of a liquid using calorimeter | ||
| Methods of measurement and error analysis for physical quantities pertaining to the experiments based on focal length of a concave mirror and a convex lens using u-v method | ||
| Methods of measurement and error analysis for physical quantities pertaining to the experiments based on speed of sound using resonance column | ||
| Methods of measurement and error analysis for physical quantities pertaining to the experiments based on verification of ohm's law using voltmeter and ammeter | ||
| Methods of measurement and error analysis for physical quantities pertaining to the experiments based on specific resistance of the material of a wire using meter bridge and post office box | ||
| Mechanics | Kinematics in one and two dimensions | |
| 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 | ||
| Stoke's law | ||
| Terminal velocity | ||
| Streamline flow | ||
| Equation of continuity | ||
| Bernoulli's theorem and its applications | ||
| Wave motion, phase, amplitude and velocity of wave | ||
| 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 (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 | ||
| 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 (current electricity) | ||
| 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, self and mutual induction | ||
| 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 theory for propagation of light and rectilinear propagation of light | ||
| Modern physics | Atomic nucleus | |
| α, β and γ 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 |
JEE Advanced AAT Syllabus
| Section | Unit | Topic |
|---|---|---|
| Architecture aptitude test | 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 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 | ||
| Elevation 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 |
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