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IIT curriculum

IIT PROGRAM

CHEMISTRY PROGRAM

Physical chemistry

General: Concept of atoms and molecules, the atomic theory of Dalton, mole concept, chemical formulas, chemical equilibrium equations and calculations (based on mole concept) involving common oxidation-reduction neutralization and displacement reactions; concentration in terms of mole fraction, molarity, molality and normality.

Gas and liquid level absolute temperature, the ideal gas equation, the deviation from ideality, van der Waals equation, the RMS of gas kinetic theory, on average, and more likely to speed and its relationship with temperature, the right of distribution of partial pressures, the vapor pressure of gas.

Atomic structure and chemical bonding: Bohr model, spectrum of hydrogen atom, quantum numbers; dualiy wave-particle de Broglie hypothesis, the principle of uncertainty, the quantum mechanical picture quality of the hydrogen atom, forms of S, P and d orbitals, electronic configurations of elements (up to the number atomic 36), exclusion principle, the Pauli exclusion principle and Hund's rule; orbital overlap and covalent bond, hybridization with S, P and D orbitals only; orbital energy diagrams for homonuclear diatomic species; hydrogen bond, the polarity of the molecules, dipole moment (qualitative aspects only); VSEPR model and molecular shape (linear, angular, triangular planes, squares, pyramids, square pyramidal, trigonal bipyramidal, tetrahedral and octahedral).

Energy: First law of thermodynamics, energy, work and heat, the volume of work pressure, enthalpy, Hess's law, heat of reaction, fusion and vaporization, the second law of thermodynamics, entropy and free energy criterion of spontaneity.

balance Law of mass action chemical equilibrium constant, Le Chatelier's principle (effect of concentration, temperature and pressure); importance DG and GDB
chemical equilibrium, solubility product, common ion effect, pH and buffer solutions, acids and bases (Bronsted and Lewis concepts), hydrolysis salts.

Electrochemistry: Electrochemical cells and cell reactions, standard electrode potential, Nernst equation and its relationship with the Directorate General; series electrochemistry, galvanic cell emf, the laws of electrolysis Faraday's electrolytic conductance, specific, equivalent and molar conductivity, Kohlrausch law of concentration cells.

Chemical kinetics: the rate of chemical reactions; College of reactions, the reaction rate constant, first order, the temperature dependence of Arrhenius type constant ().

Solid state: Classification of solids, crystalline state, seven crystal systems (cell parameters a, b, c, alpha, beta, gamma), close packed structure solids (cubic), packing in FCC, BCC and HCP networks; defects over nearest neighbors, ionic radii, simple ionic point.

Solutions: Raoult's law, molecular weight determination to reduce the vapor pressure, boiling point elevation and depression freezing.

Chemistry Basics of adsorption (excluding adsorption isotherms size); Colloids: types, methods of preparation and general properties; fundamentals of emulsions, surfactants and micelles (only definitions and examples).

Nuclear Chemistry: Radioactivity: isotopes and isobars; Properties of alpha, beta and gamma decay kinetics radioactive (decay not included), carbon dating, the stability of nuclei with respect to the proton-neutron; Brief discussion on fission and reactions fusion.

Inorganic
Isolation and preparation and properties Nonmetals: boron, silicon, nitrogen, phosphorus, oxygen, sulfur and halogen; Properties of allotropes of carbon (only diamond and graphite), phosphorus and sulfur.

Preparation and properties of the following compounds: oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates of sodium, potassium, magnesium and calcium; diborane boron, boric acid and borax; Aluminium: alumina, aluminum chloride and students, oxides of carbon and silicon oxyacid (carbonic acid); Silicon:, silicates and silicon carbide; Nitrogen: oxides, oxy-acids and ammonia phosphorus: oxides, oxygen acids (phosphorus acid, phosphoric acid) and the phosphine, oxygen: ozone and hydrogen peroxide, sulfur, hydrogen sulfide, oxides, sulphurous acid, sulfuric acid and sodium thiosulfate; Halogens: hydrohalic acids, oxides and oxy acids of chlorine, bleaching powder, xenon fluorides.

transition elements (3d series): definition, general characteristics, oxidation states and their stability, excluding the details of electronic transitions) the calculation of the moment magnetic spin-only coordination compounds (color: nomenclature of mononuclear coordination compounds, cis-trans isomerisms and ionization hybridization and geometry of mononuclear coordination compounds (linear, tetrahedral, square planar and octahedral).

Preparation and properties of the following compounds: Oxides and chlorides of lead and tin oxides, chlorides and sulphates of Fe2 +, Cu2 + and Zn2 +, permanganate potassium, potassium dichromate, silver oxide, silver thiosulfate silver nitrate.

Minerals: Commonly occurring ores and minerals iron, copper, tin, lead, magnesium, aluminum, zinc and silver.

Extractive Metallurgy: Principles and chemical reactions (details Industrial excluded), carbon reduction method (iron and tin), the method of reducing autonomy (copper and lead); reduction method electrolyte (magnesium and aluminum) cyanide process (silver and gold).

Principles of qualitative analysis: Groups I to V (only Ag +, Hg2 +, Cu2 +, Pb2 +, + BI3, Fe3 +, Cr3 +, Al3 +, Ca2 +, Ba2 +, Zn2 +, Mn2 + and Mg2 +), nitrate, halides (excluding fluoride in) sulfate and sulfide.

Organic Chemistry

Concepts: hybridization of carbon and Sigma-Pi bonds the shapes of simple molecules and geometric isomerism optical isomerism structural composites containing up to two asymmetric centers, (R, S, E, Z nomenclature excluded); simple organic nomenclature (only compounds, polycyclic mono and bi-functional and functional compounds); Conformations of ethane and butane (Newman projections), resonance and hyperconjugation; keto-enol tautomerism; Determine empirical and molecular formulas of compounds simple (only combustion method) hydrogen bonds: definition and their effects on the properties of natural alcohols and carboxylic acids, the effects inductive and resonance of the acidity and basicity of organic acids and bases; Polarity and inductive effects in alkyl halides; reactive intermediates produced during homolytic bond cleavage and heterolytic, training, structure and stability of carbocations, carbanions and free radicals.

Preparation, properties and reactions of alkanes: Series counterpart, the physical properties of alkanes (melting point, boiling point 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 hydration catalyzed alkenes and alkynes (excluding the stereochemistry of the addition and removal), 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 metal acetylides (X = halogen) addition reactions of alkynes;.

Reactions of benzene: Structure and aromaticity, substitution reactions electrophilic: halogenation, nitration, sulfonation, Friedel-Crafts alkylation; Effect of o-, mp-groups to lead and monosubstituted benzene.

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

Characteristic reactions of the following (including those mentioned above): The Alkyl halides: rearrangement reactions of alkyl carbocation, Grignard reaction of nucleophilic substitution reactions; Alcohols: esterification, dehydration and oxidation, reaction with sodium halide phosphor ZnCl2/concentrated HCl, conversion of alcohols into aldehydes and ketones, ethers: Preparation by Williamson synthesis, aldehydes and ketones: oxidation, reduction, and the formation of hydrazone oxime, aldol condensation, Perkin reaction, Cannizzaro reaction, reaction haloform addition to nucleophilic reactions (Grignard addition), carboxylic acids: formation of esters, acid chlorides and amides, hydrolysis of esters, amines: Basic substituted anilines and aliphatic amines, preparation reactions nitro compounds, reaction with nitrous acid, the reaction of diazonium salts Azo coupling of aromatic amines, Sandmeyer and related diazonium salts; haloarenes haloarenes carbylamine reaction: aromatic nucleophilic substitution haloarenes replaced (except benzyne mechanism and Cine substitution).

Carbohydrates: Classification; mono-and di-saccharides (glucose and sucrose); training glucoside oxidation, reduction and hydrolysis of sucrose.

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

Properties and uses of some polymers important natural rubber, cellulose, nylon, Teflon and PVC.

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

PHYSICS AGENDA

Units of General and dimensions, dimensional analysis, compilation, significant numbers, Methods of measurement and error analysis for physical quantities in the following experiment: experiments based on the use of pliers and screw vernier calipers (Micrometer), Determination of g with simple pendulum, Young's modulus by Searle's method, the specific heat of liquid using a calorimeter, the focal length of a concave mirror and a convex lens using UV-speed method of using resonant sound column, Verification of Ohm's Law "by a voltmeter and ammeter, and specific area of a resistance bridge cables, underground through a PO Box.

Mechanics: Kinematic one and two dimensions (Cartesian coordinates only), projectiles, circular motion speed relative.

Newton's laws of motion, inertial and uniformly accelerated frames of reference, dynamic and static friction, kinetic and potential energy, work and power, conservation of momentum and mechanical energy.

Particle Systems, Centre of mass and its motion, drive, elastic and inelastic collisions.

Act gravitation and the gravitational potential of the acceleration of gravity field, the movement of planets and satellites circular orbits, escape velocity.

rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia, uniform set of simple geometric shapes, angular momentum, torque, conservation of angular momentum, the dynamics of rigid bodies with fixed axis of rotation, rolls without slipping of rings, cylinders and spheres; equilibrium of bodies rigid collisions of point masses with rigid bodies.

Linear and angular movements simple harmonic.

Hooke's Law, Young's modulus.

Pressure in a fluid, Pascal's law, buoyancy, energy surface and surface tension, capillary rise, the equation of viscosity (Poiseuille excluded), Stoke's law terminal velocity, Streamline flow, equation of continuity, Bernoulli's theorem and its applications.
the movement of waves (waves flat only), longitudinal and transverse waves, superposition of waves, progressive and standing waves, vibration of strings and air columns; Resonance, Beats, the 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, the basic concepts of convection and radiation, the Newton's law of cooling, ideal gas laws, specific heats (Cv and Cp for monatomic and diatomic gases); isothermal and adiabatic process, the equivalence module gas heat and work the first law of thermodynamics and its applications (only for ideal gas), black body radiation: absorptive powers and properties emission, Kirchhoff's law, the Wien displacement law, Stefan law.

Electricity and Magnetism: Coulomb's law lines, electric field and potential, electric potential energy of a system of point charges and electric dipoles in an electrostatic field uniform electric field of law Feeds Gauss electric field and its application in simple cases, for example, to find the field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell.

Capacity; parallel plates 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, the heating effect Current.

Biot-Avarta of law and Ampere's law, magnetic field near a wire current carrying right along the axis a circular coil and inside a long straight solenoid, the force on a moving charge and a power cable in a uniform magnetic field.

Magnetic moment of a current loop, the effect of a uniform magnetic field on a current loop, moving coil galvanometer, voltmeter, ammeter and their conversions.

Induction Electromagnetic Faraday's law, law, freedom of Lenz and mutual inductance, RC, RC and LC circuits with dc sources and alternative.

Optics: rectilinear propagation of light reflection and refraction at plane and spherical surfaces, total internal reflection, to deformation and dispersion of light through a prism, thin lenses, combinations of mirrors and thin lenses, magnification.

the wave nature of light: the principle of Huygens, interference limited to the double slit experiment of Young.

Modern Physics: the atomic nucleus, alpha, beta and gamma rays life, the decay law radioactive decay constant, half life and mean; binding energy and its calculation, fission and fusion process, the calculation of energy in these processes.

photoelectric effect, Bohr's theory of the hydrogen atoms of the type of characteristic and continuous X-rays, Moseley's law; length De Broglie wavelength of matter waves.

MATH PROGRAM

Algebra: Algebra of numbers complex addition, multiplication, conjugation, polar representation, properties of the module and the main argument, triangle inequality, the cube roots of unity, geometric interpretation.

quadratic equations with real coefficients, relations between roots and coefficients, the formation of quadratic equations with given roots, symmetric functions of roots.

Arithmetic geometric and harmonic progressions, arithmetic, geometric and harmonic mean sums of finite arithmetic progressions and geometric and infinite geometric series, sum of squares and cubes of first n natural numbers.

Logarithms and their properties.

The permutations and combinations, binomial theorem for integer index positive, the properties of binomial coefficients.

Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication a scalar and product of matrices, transposition 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 antisymmetric matrices and their properties, solutions of linear equations in two or three variables.

The Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, the calculation of the probability of events by permutations and combinations.

Trigonometry Trigonometric functions, their periodicity and graphs, addition and subtraction formulas, formulas that involve multiple angles and multiple sub-general solution of trigonometric equations.

Relations between the sides and angles of a triangle, sine rule, cosine rule, half-angle and area of a triangle, inverse trigonometric functions (principal value only).

Analytic Geometry:

Two dimensions: Cartesian coordinates, the distance between two points, the formulas of the article, the change source.

The equation of a straight line in various forms, angle between two lines, distance one point from a line, lines through the intersection of two given lines, equation of the bisector of the angle between two lines, the lines of competition, centroid, orthocenter, Incentra and circumscribes a triangle.

The equation of a circle in various forms, equations of tangent, normal and the agreement.

The parametric equations of a circle, the intersection of a circle with a line or a circle, equation of a circle through the points of intersection of two circles and a circle and a straight line.

The equations of a parabola, ellipse and hyperbola standard form, their homes, directors 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, the equation a plane, distance of a point from a plane.

Differential calculus: Real valued functions a real variable, in, on and-one functions of the face amount, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic.

Limits 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.
Derived function derived from the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomials, rational functions, trigonometric inverse trigonometric, exponential and logarithmic.

Derivatives of implicit functions, derivatives up to order two, geometrical interpretation derivatives of the tangents and normal, increasing and decreasing functions, maximum and minimum values of a function, Rolle's theorem and the Mean Value Theorem means of Lagrange.
Integral calculus: Integration as the reverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, Fundamental Theorem of Calculus text.

Integration by parts, integration by substitution methods and fractions partial application of definite integrals to the determination of areas related to simple curves.
Formation of ordinary differential equations, resolution homogeneous differential equations, separation of variables method first-order linear differential equations.
Vector-vector addition, scalar multiplication, dot and cross products, dot products and three geometric interpretations.

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