CET Syllabus

For the, exact CET syllabus for the current year please check your CET Brochure.

Syllabus for the Common Entrance Test, Karnataka :

Physics : Second Yr    |   First Yr
Chemistry : Second Yr    |    First Yr
Mathematics : Second Yr    |    First Yr
Biology : Second Yr    |    First Yr

 PHYSICS

1. WAVES AND SOUND

· Waves: formation of waves, types of waves, wave amplitude, frequency,

wave length and velocity - relation n =f l - equation for progressive wave,

intensity, super position of waves. Problems

· Sound: Properties, velocity in gases, Newton - Laplace formula, factors affecting velocity -

intensity and loudness, units, Noise and Music beats as an example of superposition of waves,

Doppler effect, formula for general case, discussion for individual cases. Problems

· Stationary waves: Modes of vibration in pipes, laws of vibration of stretched strings,

sonometer, Problems.

· Ultrasonics: Production (mention of methods), properties and applications

· Acoustics of buildings: reverberation, Sabine's formula (mention), requisites for good

acoustics and methods of achieving them.

2. PHYSICAL OPTICS

· Introduction to theories of light

· Interference of light: Coherent sources, Young's double slit experiment, expression for path

difference, conditions for constructive and destructive interference, width of interference

fringes. Problems

· Diffraction of light: Fresnel and Fraunhofer diffraction, Fraunhofer diffraction through a

single slit (qualitative explanation), limit of resolution, Rayleigh's criterion, resolving

powers of telescopes and microscope. Problems

· Polarisation of light: transverse nature of light waves, methods of producing plane polarised

light, Brewster's law, double refraction, dichroism, polariods and their applications, optical

activity and specific rotation. Problems.

3. ELECTROSTATICS

· Electric charge: Coulomb's law, dielectric constant, SI unit of charge, electric intensity and

potential, relation connecting them, derivation of expression for potential at a point due to an

isolated charge. Gauss theorem and applications, intensity at a point (a) due to a charged

spherical conductor (b) near the surface of a charged conductor, Problems

· Capacitors: parallel plate, spherical, cylindrical, expressions for the capacitances, principle

of a capacitor, effect of dielectric, energy stored in a capacitor, combination of capacitors,

uses, Problems

4. CURRENT ELECTRICITY

· Different effects of electric current: potential difference, resistance, colour code, Ohm's law

and its limitations, variation of resistance of a conductor with length- area of cross section

and temperature, resistivity, superconductivity, thermistor and its applications, combination of

resistors, EMF of a cell, current in a circuit, branch currents, grouping of cells, expression

for different cases, potentiometer, problems

· Kirchhoff's laws: Condition for balance of a Wheatstone's bridge, metre bridge, Problems

· Magetic effect of current: direction of field, right hand clasp rule and magnitude - Laplace's

law, force on a charged particle moving across a magnetic field (qualitative), magnetic field

strength, flux density, magnetic flux density at a point on the axis of (a) a circular coil

carrying current (derivation), (b) a solenoid carrying current (without derivation), tangent law,

tangent galvanometer (with theory), Problems

· Force on a current carrying conductor in a magnetic field: Fleming's left hand rule, force

between two parallel conductors carrying current, definition of ampere, suspended coil

galvanometer (with theory), conversion of galvanometer into ammeter and voltmeter, Problems

· Magnetic materials: Intensity of Magnetising field (H), intensity of magnetisation (I) and

magnetic induction (B) - relation connecting them, permeability and susceptibility, properties of

dia, para and ferromagnetic substances, hysteresis cycle and its significance, retentivity and

coercivity, uses of magnetic materials.

· Electromagnetic induction: Laws, self and mutual induction, induction coil (principle),

principle and working of a generator, expression for sinusoidal emf, peak, mean and rms values,

impedance, current in R, L & C and RLC circuits, power factor, choke and transformer (principle),

principles of a ac meters (moving iron and hot wire types) Problems.

5. MODERN PHYSICS

· Introduction to modern physics: types of spectra, E. M. spectrum, types of electron emission.

· Quantum theory of radiation: Explanation and applications of photoelectric effect, atom models,

Bohr's theory of hydrogen atom, derivation of expressions for orbital radius, orbital velocity,

energy of electron and wave number, spectral series, energy level diagram, de Broglie matter

waves, Problems.

· Nuclear Physics: Nuclear size, charge, mass and density, constituents, amu in terms of electron

volts, magnetic moment and nuclear forces, mass defect and binding energy, nuclear fission, chain

reaction, critical size, nuclear reactor, nuclear fusion, stellar energy, radiation hazards,

Problems.

· Radioactivity: Properties of radioactive radiations, decay law, decay constant, Soddy's group

displacement law, half life and mean life, expression for half life, radio isotopes and their

uses, Problems.

· Solid state electronics: Band theory of solids (qualitative), classification into conductors,

insulators and semi conductors, p-type and n-type semi conductors, characteristics of p-n

junction, rectifying action of diode, half wave and full wave rectifiers. Transistors, pnp and

npn, characteristics, relation between alph and beta transistors as an amplifier (qualitative

-npn in CE mode)

Syllabus from PUC-I / XI Std. or equiv.

1. INTRODUCTION

Introduction to Physics SI units - dimensions - dimensional formulae - dimensional analysis -

limitations Scalars and vectors - unit vector - vector addition - resolution of a vector - scalar

and vector products

2. DYNAMICS

Motion of a particle in one dimension - derivations of equations of motion velocity - time curve.

- Problems Newton's laws of motion, f=ma derivation - conservation of momentum (statement and to

arrive at) - illustrations - problems Motion in two dimensions - equation for the trajectory of a

projectile - range, height and time of flight - uniform circular motion - centripetal

acceleration (derivation of expression) - centripetal and centrifugal forces with illustrations -

problems Work, energy and power - work done - F.S. - expressions for potential and kinetic energy

- conservation of energy (statement with illustrations - problems) Gravitation - Law of

gravitation - variation of g with altitude, depth and lattitude - motion of planets and

satellites - statement of Kepler's laws, orbital velocity - escape velocity - weightlessness -

problems Rotational motion of rigid body - angular displacement, velocity, acceleration and

momentum, torque - equations for angular motion - moment of inertia - radius of gyration,

comparison of linear and rotational motions - problems Elasticity - stress and strain - Hooke's

law - moduli of elasticity - expression for Young's modulus in the case of stretching Simple

harmonic motion - characteristics - examples and equation for SHM (y = a sin wt)

3. STATICS

Coplanar concurrent forces - resultant of two forces - magnitude and direction (derivation)

equilibrium of three forces - law of triangle of forces - Lami's theorem - problems Moment of a

force - law of moment (statement) - application to find the resultant of two parallel forces -

couple - statement of conditions of equilibrium of parallel forces - problems

4. HYDROSTATICS AND HYDRODYNAMICS

Hydrostatics - fluid thrust and pressure - atmospheric pressure (units) pressure at a point due

to a liquid - Archimedes' principle (statement) - problems Hydrodynamics - streamline and

turbulent flow - Bernoulli's theorem - explanation with examples Surface tension - cohesion and

adhesion - surface tension and angle of contact - capillary rise (without derivation) Viscosity -

velocity gradient - co-efficient of viscosity - Poiseuille's formula for the flow of a liquid

through a capillary tube and Stoke's law (without derivation)

5. HEAT

Heat and temperature - measurement of temperature - Mention of different thermometers - effect of

heat like expansion and change of state Gas laws - absolute scale of temperature - perfect gas

equation - isothermal and adiabatic changes - mention of equations of state - problems Absorption

of heat - specific heat - thermal capacity - principle of calorimetry - latent heat - specific

heat - specific heats of gases - (Cp - Cv) and their relation (Cp - Cv = R) - degrees of freedom

- equipartition of energy - importance of g Conduction of heat - steady state - temperature

gradient - thermal conductivity - problems Radiation - emissive and absorptive powers - Stefan's

law - Prevost's theory of exchanges - Kirchhoff's law - Wien's displacement law - Plank's law -

solar constant - temperature of the sun (qualitative treatment of the topics without derivation)

- problems Thermodynamics - relation between heat and work (first law) - heat engine - efficiency

- reversible and irreversible process - Carnot's cycle - pV diagram - efficiency of a Carnot

engine (without derivation) (Second Law) - problems

6. GEOMETRICAL OPTICS

Introduction to light - optical medium - rectilinear propagation of light Reflection of light -

laws of reflection - reflection at curved surfaces - image formation in the case of spherical

mirrors - mirror formula (without derivation) - sign convention - problems Refraction at a plane

surface - laws of refraction - absolute and relative refractive indices (Symbol n to be used for

RI) - refraction through multiple refracting media - lateral shift and normal shift (expressions

without derivation) - total internal relection - conditions for total internal relection -

relation between critical angle and refractive index (n) - applications of optical fibres and

total reflecting prisms - problems Refraction through a prism - derivation of the expression for

the refractive index (n) of the material of a prism in terms of A and D - dispersion through a

prism - deviation produced by a thin prism - dispersive power - prism combination for dispersion

without deviation - problems Refraction at spherical surfaces - derivation of the relation

connecting n,u,v and r for refraction at a spherical surface (concave towards point object in

denser medium) - refraction through a lens - lens maker's formula - power of a lens - Image

formation in the case of thin lenses, linear magnification - lenses in contact - problems

Spherical and chromatic aberrations - qualitative discussion - achromatic combination of lenses

Optical instruments - microscopes, telescopes, prism binoculars, direct vision spectroscope and

spectrometer (qualitative) Photometry - basic concepts - units - principle of photmetry -

problems

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Chemistry

1. THERMODYNAMICS AND THERMOCHEMISTRY

Law of conservation of energy - Mechanical work done. Isothermal and adiabatic changes - concept

of enthalpy - enthalpy of reaction, formation, solution, combustion, transition and

neutralisation - constancy of enthalpy of neutralisation of a strong acid and a strong base

Thermochemical equations - Laplace - Lavoisier law - Hess's law. Problems

2. CHEMICAL EQUILIBRIUM

Law of mass action, application of law of mass action to the following systems:

i) 2HI <==> H2 + I2

ii) N2 + 3H2 <==> 2NH3

Derivation of KP for both reactions

Le-Chatelier's principle and its application to the synthesis of Ammonia.

Free energy change - standard free energies - Idea of a system tending to attain a state of

minimum free energy and maximum entropy. Relationship between free energy change and equilibrium

constant. Problems

3. REACTION KINETICS

Order and molecularity of a reaction. Derivation of the equation for the velocity constant of a

first order reaction - Half life period - Relationship between half life period and order of the

reaction - Experimental study of the acid hydrolysis of methyl acetate.

Influence of temperature on the velocity of a reaction - Arrhenius theory - Arrhenius factor and

energy of activation. Problems

4. SURFACE CHEMISTRY

· Adsorption - Distinction between adsorption and absorption. Types of adsorption - adsorption of

gases on solids.

· Colloids - Distinction between colloids and crystalloids - classification, preparation of

colloids (electrical and chemical methods, one method each), Purification by dialysis -

Properties: Tyndall effect and Brownian movement. Application in food, medicine, precipitaion of

smoke.

· Catalysis - Characteristics - Influence of catalyst on reaction path. Theories of catalysis

(Intermediate compound theory and adsorption theory)

5. ELECTROCHEMISTRY

· Arrhenius theory of electrolytic dissociation - merits and demerits. Ionic conduction by

migration. Definition of specific, equivalent and molar conductivities - strong and weak

electrolytes.

· Acids and bases - Bronsted - Lowry concept - Lewis concept. Acid-Base equilibrium, Hydrogen ion

concentration - pH scale - pK values.

· Buffers - Buffer equation (Henderson's equation to be assumed). Importance of buffer solutions.

· Ionic equilibrium - solubility product, common ion effect. Applications of solubility product

in qualitative analysis.

· Electrode potential - Nernst equation to be assumed, Standard electrode potential - Hydrogen

electrode - Electro-chemical series and its significance - corrosion of metals.

· Problems

6. SOLIDS

Types of solids - radius ratio (r+ / r-), coordination number - unit cell. Structure of ionic

crystals. Ionic radii - imperfections in solids - superconductivity.

7. RADIOACTIVITY

· Natural radioactivity - Properties of alpha, beta and gamma radiations - rate of disintegration

- Half life period - Isotopes - separation by thermal diffusion method.

· Artificial radioactivity - Rutherford's artificial nuclear reaction.

7N14 + 2He4Y8O17 + 1H1

Explanation of artificial radioactivity using

13Al27 + 2He4 Y15P30 + 0n1

15P30 Y 14Si30 + +1e0

Preparation and uses of artificial radioactive isotopes - Co60, I131, P32 and Na24

Radioactive dating, Elementary account of fission and fusion.

8. METALLURGY

General principles of metallurgy - Concentration of ores (gravity process, magnetic separation

and froth flotation) - Extraction of crude metal (pyrometallurgy, hydrometallurgy and

electro-metallurgy), Refining (Liquation, poling, electrolytic method)

Occurrence, extraction, properties and uses of Sodium, Copper, Aluminium and Iron. Role of iron

and sodium in biological systems. Manufacture of steel by LD process, Properties of steel (carbon

content) Heat treatment - alloy steels.

9. COORDINATION COMPOUNDS

Postulates of Werner's theory - Sidgwick's interpretation - concept of EAN using Potassium

ferrocyanide, potassium ferricyanide and cuprammonium sulphate.

10. MANUFACTURE, properties, uses of Sodium hydroxide (Nelson's cell), Sodium Carbonate - Alum.

11. ORGANIC CHEMISTRY

· Preparation, Properties and Uses of the following:

· Alkyl halides 1) Ethyl bromide and isopropyl chloride 2) Vinyl chloride

· Aromatice halogen compounds: 1) Chlorobenzene and benzyl chloride, comparison of reactives with

alkyl halides. 2) Grignard reagent and its synthetic applications.

· Alcohols - Ethyl alcohol (Manufacture from molasses), Benzyl alcohol

· Phenol

· Aldehydes and ketones - Formaldehyde, Acetaldehyde, Benzaldehyde, Acetone, Acetophenone.

· Acids - Formic, Acetic, Benzoic, Salicylic acids.

· Esters - Ethyl acetate, Ethyl benzoate

· Amines - Methylamine, Aniline

12. POLYMERS

Classification - Synthetic and natural, preparation and uses of polythene, nylon, terylene.

Natural rubber.

13. CARBOHYDRATES

Classification - Monosaccharides - open and ring structure of glucose, fructose, galactose

Oligosaccharides - Ring structure of sucrose, maltose and lactose

Polysaccharides - Partial representation of structure of cellulose, starch and glycogen -

Carbohydrates as a source of energy.

14. OILS AND FATS

Chemical nature of fatty acids - saturated and unsaturated fatty acids - Examples. Triglycerides

- General structure of triglycerides - Hydrolysis with acid and saponification.

Rancidity - Refining and hydrogenation of oils - drying oils.

15. PROTEINS

Amino acids as building units of proteins. General structure of amino acids such as glycine,

alanine, serine, cysteine, aspartic acid, lysine, tyrosine, peptide linkage. Functional

properties of proteins as enzymes, antibodies, transport agents, biochemical messengers

(hormones-insulin and oxytocin) and structural material.

16. NUCLEIC ACIDS

Types - DNA and RNA - Components - purine and pyrimidine bases, sugars and phosphates -

Biological importance of nucleic acids.

17. CHEMOTHERAPY

Antipyretics - Aspirin, Antibiotics - Penicillin, Analgesics - Paracetamol

Antiseptic - chloroxylenol (dettol), Antimalarial - chloroquine Tranquilizers - Barbituric acid

· Structure and uses of the above.

Chemistry - Syllabus from PUC-I/XI. Std or equiv.

1. KINETIC THEORY OF GASES

Postulates, Derivation of expression for pressure of a gas. (PV = 1/3mnc2) Deduction of gas laws,

Boyle's law, Charle's law, Graham's law of diffusion and Dalton's law of partial pressures.

Expression for Kinetic energy and RMS velocities of gases (problems based on these) Ideal and

real gases. Deviation of real gases from ideal behaviour. Derivation of Van der Waal's equation.

2. STOCHIOMETRY

Mole concept and Avogadro number (Problems)

Atomic weight: Definition with evaluation of atomic weight by Dulong and Petit's law (problems)

Equivalent weight of elements ; definition, methods of determination (hydrogen displacement,

oxide and chloride methods) (problems)

Equivalent weights of acids and bases, oxidising, reducing agents. Concept of normality, molality

and molarity.

Volumetric analysis: Calulations involving acid-base and red-ox titrations. (Problems)

Empirical and Molecular formula from % composition (problems) Relation between vapour density and

molecular weight.

Molecular weight of oxygen and carbon dioxide and volatile liquids (Victor Meyer's method)

(problems)

3. ATOMIC STRUCTURE

Fundamental particles (electron, proton & neutron) Rutherford's model of the atom. Bohr's

theory-postulates (derivation of expression of energy and radius to be omitted) spectrum of

Hydrogen Balmer, Lyman and Brackett series. Explanation on the basis of Bhor's theory. Quantum

numbers - Orbital concepts. Shape of s.p.d. orbital, Pauli's exclusive principle. Hund's rule.

Electronic configuration of atoms (elements upto atomic number 30)

4. LONG FORM OF PERIODIC TABLE

Based on electronic configuration of elements-periodic properties - ionisation energy and

electron affinity, atomic and ionic radii.

5. CHEMICAL BONDING

Types of bonding (ionic, covalent, coordinate & hydrogen bonding) Covalent bond - orbital

overlap, p-p (Cl2), s-s(H2). Sigma & Pi bonds. Hybrid orbital. Shapes of molecules (CH4, C2H4 and

C2H2)

Hydrogen bonding - anamolous properties of water.

6. SPECIFIC MATTER

Ozone: Preparation and properties, Ozon layer.

Hydrogen peroxide: preparation, concentration, properties and uses.

Sulphur: Preparation, properties and uses of SO2, Manufacture of H2SO4 by contact process,

properties and uses.

Nitrogen: Nitric acid - Manufacture by Ostwald's process, properties and uses. Nitrogenous

fertilizers - manufacture of ammonium sulphate from gypsum, CAN, urea, Nitrogen cycle.

Halogens: Preparation, properties and uses of flourine. Manufacture of chlorine (Nelson cell) -

properties and uses. Bromine from sea water. Iodine from sea weeds.

Carbon: Activated carbon. Commericial production, properties and uses of carbon monoxide.

Silicon: Occurrance, preparation, semiconducting properties (n and p type) , silicate glasses.

Phosphorus: Occurrance, manufacture (electrothermal process) Structure of oxyacids of phosphorus.

Super phosphate of lime.

Ceramics: Clay properties - white pottery (porcelain's process or china process) Applications.

7. ORGANIC CHEMISTRY

(IUPAC nomenclature to be adopted)

Aliphatic hydrocarbons: saturated and unsaturated hydrocarbons. Preparation, properties and uses

of methane, ethylene and acetylene - homologous series

Isomerism - chain, functional and position

Concepts of free radicals - electrophiles and nucleophiles to be illustrated with the study of

mechanism involving -

1) chlorination of methane

2) addition of bromine to ethylene and

3) addition of hydrogen chloride to propylene (Markownikoff's rule)

Petroleum - Theory of formation, cracking (catalytic and thermal) fractionation, synthetic petrol

Destructive distillation of coal - separation of benzene, toluene, naphthalene from coal

tar.Structure of benzene. Properties of benzene and toluene. Mechanism of halogenation,

nitration, sulphonation and Friedel - craft's alkylation

Biogas- Production and uses.

8. ENVIRONMENTAL POLLUTION

· Pollutants, definition - types of pollution, air - Automobile exhaust smoke, CO, oxides of

nitrogen and lead. water - Industrial effluents with relevance to paper and rayon industries.

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Mathematics

ALGEBRA

· Set theory: Recapitulation of sets. Relations and functions. Problems.

· Mathematical Logic: Proposition and truth values, connectives, their truth tables, inverse,

converse, contrapositive of a proposition. Tautology and contradiction, Logical Equivalence-

standard theorems. Examples of switching circuits. Truth tables. Problems.

· Matrices and determinants: Recapitulation of types of matrices and problems. Determinant of a

square matrix defined as mappings

D : M (2,R) Y R and D: M(3,R) Y R

Properties of determinants including D (AB) = D (A) D (B). Problems.

Minor and cofactor of an element of a square matrix, adjoint, singular and non-singular matrices.

Inverse of a matrix, proof of a A (adjA) = (adjA) A = | A | I and hence formula for A-1 .

Problems.

Solution of a system of linear equations in two and three variables - (i) Matrix method, (ii)

Cramer's rule. Problems.

Characteristic equation of a square matrix.

Characteristic roots of a square matrix, Cayley Hamilton theorem (statement only), Verification

of Cayley Hamilton theorem for square matrices of order 2 and 3 only. Finding A-1 by Cayley

Hamilton theorem. Problems.

· Vector: Recapitulation of a vector as directed line segment, magnitude and direction of a

vector, equal vectors, unit vector, position vector of a point. Problems.

Two and three dimensional vectors as ordered pair and ordered triplet respectively of real

numbers-components of a vector, Addition, subtraction, scalar multiplication of a vector.

Problems.

Position vector of the point dividing a given line segment in the given ratio.

Scalar (dot) product, Vector (Cross) product of two vectors, Scalar triple (Box) product of three

vectors, vector triple product of three vectors and their properties. Application of these to the

area of a parallelogram, area of a triangle, Volume of a parallelopiped, orthogonal vectors and

coplanarity of three vectors, projection of one vector on another vector. Problems.

Work done, moment of a force about a point, moment of a couple about a point, the diagonals of a

parallelogram bisect each other, angle in a semi circle is a right angle, medians of a triangle

are concurrent. Derivations and problems.

· Groups: Binary operation, Algebraic structures. Definition of semigroup, group, Albelian group

- Examples from real and complex numbers. Finite and infinite groups, order of a group,

composition tables, modular systems, modular groups, group of matrices - Problems.

Permutations, symmetric group of order 3. Proof of "The set of all permutations of the set

S={1,2,3}from a non-abelian group w.r.t. product of permutations"

Square roots, cube roots and fourth roots of unity from abelian groups w.r.t. multiplication

(with proof)

Proofs of the following properties

· Identity of a group is unique.

· The inverse of an element of a group is unique.

· (a-1)-1 = a" aX G where G is a group.

· (a * b)-1 = b-1 * b-1 in a group.

· Left and right cancellation laws.

· Solution of a * x = b and y * a = b exist and are unque in a group.

Subgroups, proofs of necessary and sufficient conditions for a subgroup.

· A non-empty subset H of a group G is a subgroup of G iff

i) " a, b X H, a * b X H and

ii) for each a X H, a-1X H

· A non-empty subset H of a group G is a subgroup of G iff

a,b X H, a * b-1X H - Problems

Problems of the type

i) If (ab)-1 = a-1 b-1, then G is abelian

ii) If every element of a group is its own inverse, then G is abelian.

iii) In a group of even order there exists an element a K e such that a-1 = a

ANALYTICAL GEOMETRY

· Circles: Definition, equation of a circle, with centre (0,0) and radius r, with centre (h,k)

and radius r. Equation of a circle with (x1, y1) and (x2, y2) as the ends of a diameter, general

equation of a circle, centre and radius. Derivations of all these. Problems.

Equation of the tangent to a circle - Derivation. Problems

Condition for y = mx + c to be the tangent to the circle x2 + y2 = r2 Derivation. Problems.

Length of the tangent from an external point to a circle - Derivation, Problems.

Power of a point, radical axis of two circles, radical centre of a system of three circles -

Derivation, Problems.

Condition for a point to be inside or outside or on a circle. Proof and problems. Proof of "The

radical axis of two circles is perpendicular to the line joining their centres." Problems.

Orthogonal circles - Derivation of the condition. problems.

Co-axal system, limiting points, conjugate system. Problems.

Conic Sections: Definition by focus - directrix property, eccentricity, definition of Parabola,

Ellipse, Hyperbola, Rectangular hyperbola.

Derivation of standard equation of ellipse. Equation of other forms of ellipse (statements only).

Standard properties of parabola. Problems.

Derivation of standard equation of ellipse. Equation of other forms of ellipse (statements only).

Standard properties of ellipse. Problems.

Derivation of standard equation of hyperbola. Equations of other forms of hyperbola (statemnets

only) Standard properties of hyperbola. Problems.

Equations of tangent and normal to Derivations and problems.

TRIGONOMETRY

· Inverse Trigonometric Functions: Definition of inverse trigonometric functions, domain and

range. Derivations of standard formulae. Problems.

Solutions of inverse trigonometric equations. Problems.

· General Solutions of trigonometric equations:

General Solutions of sin x = k, cos x = k, (-1 O k O 1),

tan x = k, a cos x + b sin x = c, derivations. Problems.

Complex Numbers: Definition of a complex number as an ordered pair, real and imaginary parts,

modulus and amplitude of a complex number, equality of complex numbers. Algebra of complex

numbers, polar form of a complex number, Argand Diagram. Exponential form of a complex number.

Problems.

De Moivre's theorem - statement and proof, method of finding square roots, cube roots and fourth

roots of a complex number and their representation in the Argand diagram. Problems.

CALCULUS

· Continuity and differentiation: Continuity of a fnction, sum of two functions, polynomial,

trigonometric function, exponential function, inverse trigonometric function. Problems.

· Differentiation - Differenctiability. Derivative of a function by first principles.

Differentialbility implies continuity by the converse is not true (proof and example

respectively). Derivatives of sum, difference, product of a constant and a function, constant,

product of two functions, quotient of two functions by first principles.

Derivatives of

xn, ex, ax, sinx, cos x, tan x, cosec x, sec x, cot x, log x by first principles. Problems.

· Derivatives of inverse trigonometric functions by first principles hyperbolic and inverse

hyperbolic functions and their derivatives w.r.t. x. Problems.

· Composite functions - Chain rule. Problems.

· Differenctiation of inverse trigonometric functions by substitution. Problems.

· Differenctiation of implicit functions, parametric functions, a function w.r.t. another

function, logarithmic differenctiation. Problems.

· Successive differentiation - Problems of finding second derivatives, deriving second order

differential equations.

· Applications of Derivatives: Geometrical meaning of dy / dx, Equations of tangent and normal,

angle between two curves. Problems.

· Subtangent and subnormal. Problems.

· Derivative as the rate measure. Problems.

· Maxima and minima of a function of a single variable - Problems.

Also problems involving two dimensional figures only.

· Interation: Statement of fundamental theorem of integral calculus.

Intereation as the reverse process of differentiation. Standard for mulae, methods of integration

(i) substitution (ii) partial fractions (iii) integration by parts. Problems.

Interals of :

· Definite Intregrals: Evaluation of definite integrals, properties of definite integrals.

Problems.

· Application of Definite Integrals: Area under a curve, area enclosed between two curves usig

definite integrals, standard areas likearea of circle, ellipse, parabola etc. Problems.

· Differential Equations: Definition of order and degree of a differential equation. Formation of

a first order differential equation. Problems. solution of first order differential equations by

the method of separation of variables. Probles.

Mathematics - Syllabus for PUC-I/XI Std. or equiv.

ALGEBRA

1. THEORY OF INDICES AND LOGARITHMS

· Recapitulation of theory of Indices - problems

· Laws of logarithms (with proof) - problems

2. PROGRESSIONS

· Recapitulation of sequences of real numbers, finite and infinite sequences as mappings.

· Definition of infinite series, A.P., G.P., H.P,. nth term of an AP, GP, HP, sum to n terms of

an AP, GP (with proof) - problems

· Sum to infinity of a G.P. when the common ratio r is such that -1 < r < 1. Recurring decimal

numbers - problems.

· A.M., G.M., H.M. of two numbers a and b. Proofs of G2 = AH and A P G P H , where A, G H are the

A.M., G.M., and H.M. respectively of any two numbers a and b. To insert n arithmetic means, n

geometric means and n harmonic means between any two given numbers - problems

3. MATHEMATICAL INDUCTION

· Principle of mathematical induction. Problems on induction including Sn, Sn2, Sn3

4. THEORY OF EQUATIONS

· Recapitulation of quadratic equations and the formula for the roots of a quadratic equation.

· The equation x2 + 1 = 0 and introducing complex numbers, square roots, cube roots and fourth

roots of unity.

· The relations between the roots and coefficients of a quadratic equation, a cubic equation and

a biquadratic - equation. Solutions of quadratic, cubic and biquadratic equations given certain

conditions and given that the roots are in A.P., G.P., H.P. - problems.

· Symmetric functions of the roots of quadratic, cubic and biquadratic equations - problems.

· Proofs of (i) irrational roots of a polynomial equation occur in conjugate pairs, (ii) complex

roots of a polynomial equation occur in conjugate pairs - Problems of solving equations given an

irrational root and given a complex root - problems.

· Solution of a standard cubic equation X3 + 3HX + G = 0 by Cardan's method only - problems.

5. PERMUTATIONS AND COMBINATIONS

· Definition of linear permutation, derivation of the formula for nPr from first principles.

Formula for the number of permutations when some things are alike of one kind, etc. - problems

· Circular permutation - formula - problems.

· Definition of combination, derivation of the formula for nCr, from first principles. Proofs of

nCr = nCn-r and

nCr-1 + nCr = n+1Cr - problems

6. BINOMIAL THEOREM

· Statement and proof of Binomial theorem for a positive integral index by induction. To find the

middle terms, terms independent of x and term containing a definite power of x - problems.

· Binomial coefficients - problems.

7. PARTIAL FRACTIONS

· Rational fractions, proper and improper fractions, reduction of an improper fraction into a sum

of a polynomial and a proper fraction - problems

· Rules for resolving a proper fraction into partial fractions. - problems

8. ELEMENTS OF NUMBER THEORY AND CONGRUENCES

· Divisibility - Definition and properties of divisibility, statement of Division Algorithm.

· Greatest Common Divisor (G.C.D.) of any two integers, using Euclid,s Algorithm., to find the

G.C.D. of any two integers. To express the G.C.D. of two integers a and b as ax + by for integers

x and y - problems

· Relatively prime numbers, prime numbers and composite numbers, the number of positive divisors

of a number and sum of all positive divisors of a number - statements of the formulae without

proof - problems.

· Proofs of the following properties

(1) The smallest divisor > 1 of an integer > 1 is a prime number.

(2) There are infinity of primes.

(3) If c and a are relatively prime and c|ab then c|b

(4) If p is prime and p|ab then p/a or p|b

(5) If there exist integers x and y such that ax + by = 1 then (a,b) = 1

(6) If (a,b) = 1, (a,c) = 1 then (a, bc) = 1

(7) If p is prime and a is any integer then either (p,a) = 1 or p | a

(8) The smallest positive divisor of a composite number "a" does not axceed a

· Congruence modulo m - Definition, Proofs of the following properties

(1) "Lmode m" is an equivalence relation

(2) a L b (mod m) => a ExLbEx (mod m) and ax L bx (mod m)

(3) If c is relatively prime to m and ca Lcb (mod m) then a L b (mod m) - cancellation law

(4) If a L b (mod m) and n is a positive divisor of m then a L b (mod n)

(5) a L b (mod m) => a and b leave the same remainder when divided by m

· Conditions for the existence of the solution of linear congruence ax L b (mod m) (statements

only). to find the solution of ax L b (mod m) - problems

ANALYTICAL GEOMETRY AND CALCULUS

9. COORDINATE GEOMETRY

· Coordinate system in a plane (cartesian)

· Distance formula, section formula, mid-point formula, centroid of a triangle, area of a

triangle - Derivations, problems

· Locus of a point, problems

· Straight lines, slope of a line m = tanq where q is the angle made by the line with the

positive x-axis, slope of the line joining any two points, general equation of a line. Derivation

and problems

· Conditions for parallelism and perpendicularity of two lines - problems

· Various forms of the equation of a straight line : slope - point form, slope - intercept form ,

two point form, intercept form, Normal form - Derivations - problems

· Angle between two lines, point of intersection of two lines, condition for concurrency of three

lines, Length of the perpendicular from the origin and from a point to a line, Equation of the

inernal and external bisector of the angle between two lines - Derivations, problems

· Pair of lines - Homogeneous equation of second degree, general equation of second degree,

derivations of (1) condition for pair of lines, (2) condition for a pair of parallel lines,

perpendicular lines and distance between the pair of parallel lines, (3) condition for a pair of

coincident lines (4) angle and point of intersections of a pair of lines - problems.

10. CALCULUS

· Functions of a real variable, types of functions, periodic functions, functional value -

problems.

· Limit of a function - definition, statements of the algebra of limits - problems

· Standard limits (with proofs)

(1) lim x -> a, x^n - a^n

                x - a        =n a^(n-1) when n is rational

(2) lim q -> 0,           sin q        = 1           when q is radians

                   q

(3) lim q -> 0,           (tan q)/q= 1             when q is radians

(4) Statements of the limits

(i) lim n->infinty (1+ 1/n)^n = e

(ii) lim x->0 (1 + x)^ 1/x = e

(iii) lim x->0 loge (1 + x) /x = 1

(iv) lim x->0 e^x - 1 / x = 1

(v) lim x->0 a^x - 1 / x = loge a

Problems on these limits

Evaluation of limits if

lim x -> 0 f (x) / g (x)   OR 0/0  form

lim n -> h  f (n) /       g (n)         OR infinity/infinity form

where degree of f(n) O degree g (n) problems

TRIGONOMETRY

11. MEASUREMENT OF ANGLES AND TRIGONOMETRIC FUNCTIONS

· Radian measure - Definition. Proofs of

(i) p radians = 1800

(ii) 1 radian is constant

(iii ) s = rq where q is in radians

(iv) Area of the sector of a circle given by A=1/2 r2q where q is in radians - problems

· Trigonometric functions - definitions.

· Trigonometric ratios of an acute angle.

· Trigonometric identities (with proofs), problems

· Trigonometric functions of standard angles, problems.

· Trigonometric functions of allied angles, compound angles, multiple angles, submultiple angles

and Transformation formulae (with proofs) - problems.

· Heights and distances - Angle of elevation, angle of depression, problems.

· Graphs of Trigonometric functions

12. RELATIONS BETWEEN SIDES AND ANGLES OF A TRIANGLE

· Sine rule, Cosine rule, Tangent rule, Half-angle formulae, area of a triangle, projection rule

(with proofs) - problems.

· Solution of triangles given

(i) three sides

(ii) two sides and the included angle

(iii) two angles and a side

(iv) two sides and the angle opposite to one of these sides . Problems.

---

SYLLABUS FOR THE CET

For the, exact portions/syllabus for the current year, check your CET Brochure.

Biology

BOTANY

CELL BIOLOGY AND GENETICS 

Chromosomes: Morphology, Structure and number (haploidy, diploidy. polyploidy and aneuploidy)

Down's syndrome, Turner's syndrome and Klinefelter's syndrome.

Ultrastructure of the chromosome Nucleosomes, (Nu bodies) Centromere, Kinetochore, Telomere,

Euchromatin and heterochromatin; Salivary and lampbrush chromosomes.

Nucleic Acids: Occurrence, chemical composition, duplex model of DNA.

A brief account of DNA duplication; its importance as genetic material, RNA A brief account of

structure and functions of rRNA, tRNA and mRNA, transcription of mRNA. Concept of gene - a brief

account of gene structure - Lacoperon concept.

Genetic Code and Protein Synthesis:

Gregor Johann Mendel and His Work On Pea Plants: Laws of inheritance (Law of Segregation and Law

of independent assortment) Monohybrid and dihybrid pattern of inheritance, Incomplete dominance

(e.g. Mirabilis jalapa).

Multiple allelism Descripiion of blood groups: A, B, AB and O, Mention of Rh factor and its

significance - inheritance of blood groups.

Sex Determination: Concept of autosomes and allosomes. Mechanism of sex determination by XX and

XY methods in Drosophila and human beings (Genic balance theory not expected); Sex determination

in plants (eg. Melandrium) Sex linked inheritance with respect to X-linked genes (eg. eye colour

in Drosophila and coulur blindness and haemophilia in human beings). Inheritance of Y-linked

genes (eg. hypertrichosis).

Genetic Diseases: Phenylketonuria, sickle cell anaemia, Haemophilia and Albinism.

Biotechnology: Concept of Biotechnology. Genetic engineering- plasmid as a vector (eg. PUC 18 or

pbr 322) Gene cloning - insulin production: Genetic finger printing. Brief account of plant

tissue culture. Improvement of crop plants (wheat and rice). General applications of

biotechnology.

HISTOLOGY AND PLANT ANATOMY 

Histology: Meristems, Parenchyma, Collenchyma, Sclerenchyma and Vascular tissues. Types of

Vascular bundles.

Plant Anatomy: Internal structures of dicot root (e.g. Helianthus), monocot root (eg. Maize),

Dicot stem (eg. Helianthus), Monocot stem (eg. Maize), Dorsiventral leaf (eg. Helianthus) and

Isobilateral leaf (eg. Maize). Secondary growth in dicot stem.

[Note: All these internal structures can be studied in practical classes with the help of visual

aids like charts]

PLANT-WATER RELATIONS 

Significance of water for life, concept of imbibition, diffusion, osmosis, cohesion, osmotic

potential, turgor pressure (pressure potential), water potential (water potentia = osmotic

potential - pressure potential), Plasmolysis, deplasmolysis; Experiments to demonstrate osmosis -

Potato osmoscope and Thistle funnel experiments [Experiments can be demonstrated in practical

classes.]

Absorption of Water: A brief account of the mechanism of water absorption and mineral absorption

(carrier concept in brief).

Ascent of Sap: Structure involved and a brief account of mechanism (pulsatory theory,

Transpiration pull theory and Root pressure theory).

Loss of Water: Transpiration and Guttation: Structures involved; structure of the stomatal

apparatus, mechanism of stomatal movement (starch hydrolysis theory and proton concept).

Experiments: Gonong's and Farmer's potometers with calculations.

Translocation of Organic Solutes: Structure involved; Mechanism (Transcellular streaming and Mass

flow hypothesis).

BIOENERGETICS: 

Concept of Bioenergy and its involvement in plant growth and development.

Photosynthesis: Ultrastructure of the chloroplast: Existence of photosystems; Definition of

photosynthesis; Mechanism of photosynthesis light and Dark reactions (C3 pathway).

Factors --- Law of limiting factors, Temperature, light, carbon dioxide and water

Experiments: Light screen, Evolution of O2, Mohl's half leaf experiment and necessity of

chlorophyll for photosynthesis. [ Note: Experiments can be studied in the practical classes.]

Respiration: Ultrastructure of mitochondrion as a seat of respiration; Definition of respiration

- Types of respiration, Respiration Quotient [RQ]. Mechanism of aerobic and anaerobic

respirations; Pasteur's effect; A brief account of external and interna1 factors; Fermentation as

in industrial process.

Experiments: Evolution of CO2, Ganong's simple respiroscope. Thermos flask experiment and Kuhne's

fermentation tube. Experiment to demonstrate anaerobic respiration. [Note: Experiments can be

studied in the practical classes.J

GROWTH: 

Definition, Regions of growth in the plant body, phases of growth, growth curve, measurement of

growth rate by using Arc auxanometer with calculations. [Note: Expcriment can be studied in

Practicals.]

Factors: External factors (Light, temperature). Internal factors - plant hormones (Auxins,

Gibberellins, Ethylene and ABA). Application of phytohormones in agriculture and horticulture

INTRODUCTION TO ECOLOGY: 

Definition of Ecology, Autoecology, Synecology, Ecological units (species, population, community,

ecosystem and Biosphere).

Ecosystem: Classification, structural and functional components of an Ecosystem with pond

ecosystem (Aquatic ecosystem) and Tropical deciduous forest (Terrestrial ecosytem) as examples.

Energy flow in an ecosytem.

Trophiclevels, food chain, food web, ecological pyramids (of number, biomass and energy),

inverted pyramid of number in a parasitic food chain.

Biogeochemical cycles (eg. carbon cycle, Nitrogen cycle, sulphur cycle and phosphorus cycles).

Environmental Problems: Human population explosion and pollution (Air, water and soil

pollulions), sources of pollution (Automobiles, industries, power plants, field burning, waste

incinerations, pesticides, radioactive wastes and sewage); Effects of pollution and controlling

measures.

Development and Preservation of Ecosystems: Soil conservation methods. Afforestation,

conservation of wild life (setting up of National parks, sanctuaries and zoos and legislation),

Habitat preservation.

ZOOLOGY

MAN IN HEALTH & DISEASE

HISTOLOGY 

Tissues: Basic types, location and functions,

-Epithelium:

(a) Simple: Squamous, Cuboidal, Columnar, Ci1iated and Glandular.

(b) Compound: Stratified squamous.

-Connective:

Areolar, Adipose, Cartilage (hyaline, fibrous and elastic), Bone (mammalian).

- Muscular: Striated, Non-striated and Cardiac.

- Blood: Components

- Nervous: Neuron (multipolar Myelinated neuron.

- Histology of human small intestine to illustrate to organisation of tissues.

DIGESTION 

- Structure of the different part of the human digestive system.

- Process of digestion of carbohydrates, fats and proteins in the human alimentary canal.

- A brief account of jaundice, hyperacidiity and ulcer.

- Homeostasis - Definition, Meaning of internal environment.

Example: Homeostatic functions of liver and pancreas in the regulation of blood sugar. Diabetes

mellitus.

CIRCULATION 

- Structure of human heart (V.S.), Mechanism of working of heart.

- Types of Heart: Myogenic and Neurogenic - Definition with example.

- Origin and conduction of heartbeat.

Blood pressure, hepertension (arteriosclerosis) & hypotension.

- Abnormalities in the heart:

Heart enlargement (cardiomegaly)

(a) Left ventricular hypertrophy due to aortic regurgitation, obesity and high blood pressure

(b) Right ventricular hypertrophy (corpulmonale) due to hypertension in pulmonary circulation

Defects in the valves - mitral stenosis and aortic stenosis.

Septal holes - Atrial septal defect (ASD) and Ventricular Septal defect (VSD). Cyanosis (BlueBaby).

Myocardial infarction.

RESPIRATION 

- Structure of the human respiratory system.

- Mechanism of respiration:

Breathing, external respiration, (gaseous exchange at alveoli),

internal respiration (transport of respiratory gases) and cellular respiration.

- Disorders of respiratory system: Lung cancer, allergic disorders like hay fever (Rhinitis),

asthama and bronchitis (Effects of smoking and pollutants are to be emphasized).

EXCRETION 

- Gross structure of the nephron, formation of urine.

- Disorder of the excretory system, renal failure and kidney stone formation, Significance of

dialysis.

NERVOUS SYSTEM 

- General organisation of human brain (sagittal section), functions of various topographical

areas of cerebrum & structure of spinal cord (T.S.)

- A brief study of the endocrine functions of pituitary

- Disorders of the nervous system: Epilepsy, paralysis & haemorrhage causes and effects.

- Effect of alcohol and narcotic drugs on the body. Efforts to counter the drug menace.

CONTINUITY OF LIFE

DEVELOPMENTAL BIOLOGY 

- General account of gametogenesis.

- Strcture of generalised ovum and Sperm.

- Types and mechanism of fertilization.

- A brief account of early development upto the formation of primary germ layers in Frog (a

typical vertebrate).

- Listing the derivatives of germ layers.

HUMAN REPRODUCTION 

- Structure of the sperm and Graafian follicle (to be studied in practicals.)

- A brief note on fertilization implantation, placenta and role of sex hormones.

- Need for birth control - a survey of family plnning methods.

- Infertility control - Test tube babies (G.I.F.T.I.V.F. and E.T. techniques).

- Sexually transmitted diseases - Gonorrhea, Syphilis and AIDS - causes and prevention.

ORIGIN AND EVOLUTION OF LIFE

OR IGIN OF LIFE 

- Concept of abiogenesis and biogenesis

- Theory of chemical evolution of lice, Miller's experiment.

ORGANIC EVOLUTION 

- A brief survey of Darwinism and Mutation Theory

- Concept of Neo-Darwinism: - Hardy Weinberg law, source of Variations - 1. Sexual reproduction.

2. Genetic drift. 3. Mutation. 4. Isolation.

ANIMAL RESOURCES AND HUMAN WELFARE

DAIRY 

- Utility of cattle (livestock) in agriculture, transport and food.

- Composition of milk

- Important breeds of cattle like Hallikar and Nagapuri

- Cross breeding with breeds like Red Dane, Jersey, Holstein and its advantages.

- Superovulation and embryo transplantation

- Importance of cattle in leather industry, biogas, fertilzers and gelatin.

POULTRY 

- Importance of eggs in combating protein malnutrition.

- Poultry as a subsidiary source of income.

- Importance of high yielding varieties like white leg horn and Rhode island.

- Table varieties like Plymouth rock, New hamphshire and breeds 1ike Giriraj.

SERICULTURE 

- Introduction to sericulture as an agro industry.

- Importance of mulberry cultivation.

- Life cycle of silk moth.

- Varieties of silk (mulberry and non- mulberry).

- Byproducts of Silk industry.

PISCICULTURE 

- Economics of fish farming

- Inland fisheries.

· - Food fishes of Karnataka: Labeo, catla Cirrhina, Rohu and Catfishes (only the names shall be

mentioned.)

Syllabus from PUC-I / XI Std. or equiv.

BOTANY

1. DIVERSITY OF PLANT LIFE ON EARTH 

· Introduction and definition of life.

· Differences between Prokaryotes and Eukaryotes.

· Classification of life forms: Details of 5 kingdom classification. (Monera, Protista, Mycota,

Metaphyta & Metazoa) up to the level of classes.

2. KINGDOM: MONERA 

· Introduction and classification of viruses - understanding, general structures and

reproductions of TMV and Bacteriophages. Mention of viral diseases in plants (Mosaic, Yellowing,

Vein clearing diseases) and in man (brain fever, polio, mumps, measels, small pox, aids and

common cold)

· Introduction to Cyanobacteria (blue green algae and bacteria): Classification

· Bacteria - Occurrence and classification based on forms, flagellation and mode of nutrition

with examples - ultrastructure of a bacterial cell - reproduction (fission endospore formation,

genetic recombination through conjugation, transformation, and transduction in brief ) -

beneficial and harmful effects.

· Nostoc - Occurrence, structure of the colony and the filament - Reproduction by fragmentation,

hormogonia, akinetes and heterocysts - economic importance of blue green algae.

3. KINGDOM: PROTISTA 

· Algae - Classification with atleast two examples in each class. General economic importance of

algae.

· Diatoms - occurrence, structure and reproduction in pennate diatoms. (see Protozoans under

zoology part).

4. KINGDOM: MYCOTA (Fungi) - classification 

· (Phycomycetes, Ascomycetes, Basidiomycetes and Deuteromycetes) with two examples in each class

- general economic importance of fungi.

· Yeasts: Occurrence, structure and reproduction

· Agaricus: Occurrence, structure and reproduction

· Mushroom culture technique in brief.

5. KINGDOM: METAPHYTA (plantae) 

· Introduction and classification.

· Bryophytes: Classification with two examples in each class.

· Polytrichum - occurrence and external morphology of gametophyte - asexual and sexual

reproductions ( developmental stages of sex organs and sporophyte not expected) - Alternation of

generation.

· Pteridophytes : Introduction and classification.

· Nephrolepis: Occurrence, external morphology of sporophyte - vegetative, asexual and sexual

reproductions - alternation of generation.

· Aymnosperms: Introduction and classification.

· Cycas: Occurrence, external morphology of sporophyte - importance of corolloid roots and

transfusion tissue in the leaflet, egetative, asexual and sexual reproductions - alternation of

generation.

· Angiosperms: Introduction, parts of a typical angiosperm eg: Brassica juncea (mustard plant).

Difference between a dicot and a monocot plant.

· Root system: Features and functions of tap root and adventitious roots, root modifications for

storage, mechanical support, respiration, floating and sucking.

· Shoot system: Features and functions of the stem, stem modifications - underground, sub aerial

and aerial.

· Leaf: Parts of a typical leaf - Dicot leaf (eg: Hibiscus) Monocot leaf (eg: Zea mays)

· Stipules - free, lateral, interpetiolar, ochreate, adnate and foliaceous types.

· Phyllotaxy - definition and types (alternate, opposite and whorl).

· Venation - definition and types - Reticulate venation (pinnately and palmately) and parallel

venation ((pinnately and palmately) .

· Compound leaves: Pinnately compound (unipinnately, bipinnately, tripinnately and decompound)

Palmately (unifoliately, bifioliately, trifoliately and multifoliately) leaves. Differences

between simple and compound leaves.

· Leaf modifications: Phyllodes (Acacia melanoxylon), tendrils (Smilax and Gloriosa),

insectivorous plants (Drosera,Nepenthes and Utricularia), vegetative reproduction (Bryophyllum).

· Inflorescence: Definition and classification (Racemose, cymose and special types).

· Flower: Definition, parts of a typical flower eg: Tribulus. Detailed description of flowers in

technical terms.

· Bracts: Foliaceous (eg: Adathoda), Petaloid (eg Bougainvillea), involucre of bracts (eg Tridax

or sunflower) and spathe (eg Aroid).

· Calyx: Epicalyx, calyx in (Mussaenda), pappus (Tridax), persistent calyx (Solannum).

· Corolla: Forms of corolla - Cruciform, Papilionaceous, tubular, infundibuliform, rotate and

bilabiate.

· Aestivations: Definition and types (valvate, imbricate, ascendingly and descendingly imbricate

and contorted aestivations).

· Androecium: Parts of a typical stamen, cohesion in stamens (monadelphous, diadelphous and

polyadelphous stamens).

· Syngenesious anthers and synandrous stamens.

· Adhesion of floral parts (eg epipetalous stamens.) Structure of a mature anther.

· Gynoecium: Parts of a pistil: superior, inferior and semisuperior ovaries: apocarpous and

syncarpous ovaries; mono, bi, tri, tetra, penta and multicarpellary ovaries; placentation -

definition and types (marginal, basal, axile, parietal and free central placentations) structure

of an anatropous ovule.

· Pollination: Definition, geitonogamy, xenogamy, self pollination - cleistogamy and homogamy;

cross pollination- contrivances (dicliny, dichogamy, self sterility, herkogamy and heterostyly).

Types of cross pollination basing on agents - hydrophily, anemophily and zoophily (entamophily

and chiropterophily). Special adaptation in salvia - significance of cross pollination.

· Fertilization: Definition, double fertilization and triple fusion; porogamy, mesogamy and

chalazogamy - post fertilization changes (development stages of embryo and endosperm are not

expected).

· Fruits: Definition, true and false fruits, classification and study of fruits with examples.

6. TAXONOMY OF ANGIOSPERMS 

· Introduction, importance of taxonomy, contributions of Linnaeus to Taxonomy in brief; Engler

and Prantl system of classification.

· Study of the following families with the plants of economic importance under these families;

Liliaceae, arecaceae, malvaceae, fabaceae, apocyanaceae and solanaceae.

ZOOLOGY

7. INTRODUCTION TO BIOLOGY 

· Definition of the term biology: Collection of useful knowledge for the understanding of man in

health and disease. Understanding the relationship between man and nature, wiser use of natural

resources. Contribution of Indian scientists to biology: Charaka, Sushrutha, Parashara, J C Bose

, P Maheswari, B G L Swamy and Dr H G Khorana.

· Branches of biology: Cell biology, taxonomy, physiology, anatomy, histology, palaentology

evolution, genetics, Eugenics, Developmental Biology, Environmental Biology and Ethology -

Interdependence of biology with other disciplines - Biophysics, Biochemistry and Psychology.

· Careers and scope for biology students: Anthropology, Agronomy, Pathology Entomology,

Fisheries, Poultry, Microbiology, Sericulture, Agriculture, Forestry, Diary Technology, Pharmacy,

Veterinary Sciences, Food technology and Genetic engineering.

8. DIVERSITY OF ANIMAL LIFE 

· Principles of animal taxonomy: Principles of binomial nomenclature, Linnaean hierarchy -

kingdom to species.

· Major animal phyla

· General characters of invertebrata - Phyla and classification upto classes with suitable

examples - Protozoa, Porifera, Coelenterata, Platyhelminthes, Nematoda, Annelida, Arthropoda,

Mollusca and Enchinodermata.

· General characters of vertebrate with suitable examples classes of phylum chordata - from

Pisces to Mammala.

9. TYPE STUDY 

· Cockroach - As an example of organ grade of construction and successful terrestrial animal.

· External features with special reference to head, mouth parts, wings and legs.

· Study of digestive, respiratory, circulatory and excretory systems

· Study of nervous system

· General organisation of reproductive system (male and female) and life history.

10. UNITY OF LIFE: BIOLOGICAL MOLECULES 

· Carbohydrates: Definition, nature and classification into mono, oligo and poly saccharides with

suitable examples; biological significance.

· Proteins: Amino acids and peptide bonds, definition, nature and classification into simple,

conjugated and derived proteins with suitable examples; biological significance.

· Lipids: Definition, nature and classification into simple lipids, compound lipids and steriods

with suitable examples; biological significance.

· Enzymes: Nature, classification, properties, mechanism of action and importance in biological

systems.

· Nucleic acids: Types, location and functions (detailed structure and role in protein synthesis

to be studied in Second PU Botany portion).

11. STUDY OF THE CELL 

· Generalised account of the ultrastructure of an animal cell and its organelles.

· Difference between plant cell and animal cell, fluid mosaic model of plasma membrane; transport

functions (pinocytosis phagocytosis and active transport ) occurrence, structure, transport, and

functions of endoplasmic reticulum, ribosomes, lysosomes, centrosome and mitochondria (details of

Kerb's cycle and ETS excluded).

· Nucleus: Components and functions. Gross structure of chromosomes

12. CELL DIVISION 

· A brief account of amitosis, mitosis and meiosis (emphasis on meosis - 1)

· Cancer biology - Cancer characteristics and causes, listing of types of cancer like sarcoma,

Carcinoma, Lymphoma and Leukemia with suitable examples; preventive measures.

Karnataka CET 2013 Syllabus:- Karnataka CET Mathematics Syllabus:- It consist of Algebra, which includes Theory of Indices and Logarithms, Progressions, Mathematical Induction, Theory of Equations, Permutations and Combinations, Binomial Theorem, Partial Fractions, Elements Of Number Theory and Congruencies, Analytical Geometry and Calculus, Coordinate Geometry, Calculus and Trigonometry. Karnataka CET Physics Syllabus:- The syllabus of physics includes the study of Dynamics, Static, Hydrostatics and Hydrodynamics, Heat, and Geometrical Optics. Karnataka CET Chemistry Syllabus:- Syllabus includes following topics- Kinetic Theory of Gases, Stochiometry, Atomic Structure, Chemical Bonding, Electrochemistry, Radioactivity, Organic Chemistry and Environmental Pollution. Karnataka CET  Biology Syllabus:- The syllabus of biology is divided into two the following parts:- 1.) Botany, 2.) Zoology Section of Botany consists of following topics- Cell Biology and Genetics, Histology and Plant Anatomy, Diversity of Plant Life on Earth, Introduction to Ecology, and Taxonomy while section of Zoology comprises the study of Tissues of humans, Digestion, Circulation, Respiration, Nervous System, Human Reproduction, Origin Of Life, Organic Evolution, Animal Resources And Human Welfare Dairy, Developmental Biology, Diversity of Animal Life, Study of the Cell and Cell Division.

The topic for the CET exams are nothing new to the student. In short he will be tested on all the knowledge that he/she has gathered during his 1st and 2nd PUC. A brief list of some topics is mentioned below:

Follow up:

Physics

Waves and sounds
Physical optics
Electrostatics
Current and electricity
Modern physics (Quantum theory of radiation, radioactivity, Solid state electronics)
Hydrostatics and hydro dynamics
Heat
Geometrical optics

Chemistry
Thermodynamics
Chemical equilibrium
reaction kienetics
Surface chemistry
Electro chemistry
Metallurgy
Organic chemistry
Kinetic theory of gasses
Automatic structures
Periodic table
Specific matter

Mathematics
Set theory
Two and three dimensional vectors
Permutation and combination
Analytical geometry
Trigonometry
Calculus
Number theory
Coordinate geometry

Biology
Cell biology and genetics
Histology and plant anatomy
Bioenergetics
Ecology
Zoology
Botany
Taxonomy of angiosperms
Biological molecules
Study of the cell

Syllabus :-

Mathematics Paper Syllabus:

IT consist of Algebra, which includes Theory of Indices and Logarithms, Progressions, Mathematical Induction, Theory of Equations, Permutations and Combinations, Binomial Theorem, Partial Fractions, Elements Of Number Theory and Congruencies, Analytical Geometry and Calculus, Coordinate Geometry, Calculus and Trigonometry.  

Physics Paper Syllabus:

The syllabus of physics includes the study of Dynamics, Static, Hydrostatics and Hydrodynamics, Heat, and Geometrical Optics. 

Chemistry Paper Syllabus:

Syllabus includes following topics- Kinetic Theory of Gases, Stochiometry, Atomic Structure, Chemical Bonding, Electrochemistry, Radioactivity, Organic Chemistry and Environmental Pollution. 

Biology Paper Syllabus:

The syllabus of biology is divided into two the following parts:-

1.) Botany, 

2.) Zoology 

Section of Botany consists of following topics- Cell Biology and Genetics, Histology and Plant Anatomy, Diversity of Plant Life on Earth, Introduction to Ecology, and Taxonomy while section of Zoology comprises the study of Tissues of humans, Digestion, Circulation, Respiration, Nervous System, Human Reproduction, Origin Of Life, Organic Evolution, Animal Resources And Human Welfare Dairy, Developmental Biology, Diversity of Animal Life, Study of the Cell and Cell Division.