Updated on - Mar 09th, 2018 | 10:39 AM by Vishnu Kausthub
Gaseous and Liquid States:
Atomic structure and Chemical Bonding:
Principles of qualitative analysis:
Hybridization 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, (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:
Physical properties of alkenes and alkynes (boiling points, density and dipole moments)
Acidity of alkynes
Acid-catalyzed 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 and H2O (X=halogen); Addition reactions of alkynes
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; carbylamines reaction
Haloarenes: nucleophilic aromatic substitution in haloarenes and substituted haloarenes (excluding Benzyne mechanism and Cine substitution).
Amino acids and peptides:
Properties and uses of some important polymers:
Practical organic chemistry:
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
The 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, the 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).
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 the 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 with 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 DC and AC sources.
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.
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
Trigonometric functions, their periodicity, and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, the 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).
Cartesian coordinates, the distance between two points, section formulae, the shift of origin.
The equation of a straight line in various forms, angle between two lines, a distance of a point from a line; Lines through the point of intersection of two given lines, the 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, the intersection of a circle with a straight line or a circle, the 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.
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, the inverse of a function, continuity of composite functions, intermediate value property of continuous functions.
A derivative of a function, a 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.
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
The addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.
AAT (Architecture Aptitude Test) Syllabus for JEE Advanced 2018.
Imagination and Aesthetic Sensitivity:
The mathematics syllabus for the JEE Advanced exam consists of the following main topics: