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COMEDK Syllabus

COMEDK Syllabus for Inorganic Physics
Sections	Topics
General	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 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, 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

COMEDK Syllabus for Inorganic Chemistry
Sections	Topics
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 Fe2+, Cu2+and Zn2+ 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+, Hg2+, Cu2+, Pb2+, Bi3+, Fe3+, Cr3+, Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+) Nitrate, halides (excluding fluoride), sulphate and sulphide

COMEDK Syllabus for Organic Chemistry
Sections	Topics
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, (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-enoltautomerism 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 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 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

COMEDK Syllabus for Mathematics
Sections	Topics
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 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, 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
Vectors	Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations

COMEDK Syllabus for Architecture Aptitude Test
Sections	Topics
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 the 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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