Kalinga Institute of Industrial Technology (KIIT) has fast emerged as a centre of excellence in the field of professional education in India. What started in 1992 as a nondescript industrial training institute functioning from a rented building with only 12 students and two faculty is now a diversified group of institutions offering academic programmes from Kindergarten to Postdoctorate level.
ELIGIBILITY CRITERIA
| Program | Eligibility |
|---|---|
B.Tech(4 Year) in Civil, Mechanical, Electrical, Electronics & Tele communication., Computer Science, Information Technology & Electronics & Electrical Engineering |
|
EXAM DATE
KIIT University
Bhubaneswar,
Orissa,
India
The KIIT University offers B.Tech and M.Tech programs, besides research programs leading and post doctoral and doctoral degrees.
KIIT University will be conducted Entrance Examination on 17th May 2009 (Sunday).
KIITEE 2009 Exam Date: 17th May 2009 (Sunday)
TEST SCHEME
| Course | Subjects | No. of Questions | Time |
|---|---|---|---|
| B.Tech. (4 years) / Int. M.Sc. (Bio)( 5 years) | Physics (10+2 standard) | 40 | 10:00 a.m.to 1:00 p.m.) |
| Chemistry (10+2 standard) | 40 | ||
| Mathematics (10+2 standard) / Biology (10+2 standard ) | 40 |
APPLICATION PROCEDURE
Application Form and Prospectus will be available online only. It will not be available in hard copy. Candidates have to apply online athttp://www.kiitee.ac.in or http://www.kiit.ac.in or they can download it from the website.
Issue of Applicaton Form and Prospectus for the KIITEE 2009 Examination will commence from 5th January, 2009.
* No Application / Examination Fees for KIITEE - 2009
* KIITEE - 2009 Physical Application Form will not be available at Bank Counters / Post office Counters / University Counters.
The print out of online registration form or filled in downloaded application form should be submitted in person / by post (Registered Post / Speed Post / Conner) to " The Director, Admissions, KIIT University, Koel Campus, Bhubanwar - 751024, Onssa, India" so as to reach on or before 28.02.2009, 5.00 p.m. Information on receipt of applications at KIIT will be available in the websitehttp://www.kiitee.ac.in or http://www.kiit.ac.in. Candidates can check status of their Application Form on the website after 20 days of its dispatch to KIIT. KIITEE 2009 Admit Card The Admit Cards will be hosted in the website from 01.03.2009 to .20.03.2009. In case, the Admit Card is not available in the website within 20th March, 2009, candidates should write/contact KIIT between 21th March, 2009 to 10th April, 2009 giving details of the Post Office, date of dispatch, receipt of postal dispatch, Photocopy of the Application Form, one photograph, photocopy of 10th Pass Certificate / Mark sheet. The candidates have to download the admit card from the website and have to come with the printed copy to the examination Centre. Admit Cards will not be dispatched in Hard Copy. Candidates must preserve the Admit Card till the admission process is over. Issue of Application Form (Online): 05.01.2009 Last Date of Issue & Receiving of Filled Application Form: 28.02.2009 Hosting of Admit Card from 01.03.2009 to 20.03.2009 Date of Entrance Examination (KIITEE 2009): 17.05.2009 Publication of Result: 30.05.2009
SYLLABUS
PHYSICS
Unit 1 : Units and Measurement
Units for measurement, system of units-S.I.,
fundamental and derived units. Dimensions and
their applications.
Unit 2: Description of Motion in One
Dimension
Motion in a straight line, uniform and non-uniform
motion, their graphical representation. Uniformly
accelerated motion, and its application.
Unit 3 : Description of Motion in Two and
Three Dimensions
Scalars and vectors, vector addition, a real number,
zero vector and its properties. Resolution of
vectors. Scalar and vector products, uniform
circular motion and its applications projectile
motion.
Unit 4 : Laws of Motion
Force and inertia-Newton’s Laws of Motion.
Conservation of linear momentum and its
applications, rocket propulsion, friction-laws of
friction.
Unit 5 : Work, Energy and Power
Concept of work, energy and power. Energy-
Kinetic and potential. Conservation of energy and
its applications, Elastic collisions in one and two
dimensions. Different forms of energy.
Unit 6 : Rotational Motion and Moment of
Inertia
Centre of mass of a two-particle system. Centre of
mass of a rigid body, general motion of a rigid
body, nature of rotational motion, torque, angular
momentum, its conservation and applications.
Moment of inertia, parallel and perpendicular axes
theorem, expression of moment of inertia for ring,
disc and sphere.
Unit 7 :- Gravitation
Acceleration due to gravity, one and twodimensional
motion under gravity. Universal law of
gravitation, variation in the acceleration due to
gravity of the earth. Planetary motion, Kepler’s
laws, artificial satellite-geostationary satellite,
gravitational potential energy near the surface of
earth, gravitational potential and escape velocity.
Unit 8 : Solids and Fluids
Inter-atomic and Inter-molecular forces, states of
matter.
(A) Solids: Elastic properties, Hook’s law,
Young’s modulus, bulk modulus, modulus of
rigidity.
(B) Liquids : Cohesion and adhesion.
Surface energy and surface tension. Flow of fluids,
Bernoulli’s theorem and its applications. Viscosity,
Stoke’s Law, terminal velocity.
Unit 9 : Oscillations
Periodic motion, simple harmonic motion and its
equation of motion, energy in S.H.M., Oscillations
of a spring and simple pendulum.
Unit 10 : Waves
Wave motion, speed of a wave, longitudinal and
transverse waves, superposition of waves,
progressive and standing waves, free and forced
Oscillations, resonance, vibration of strings and aircolumns,
beats, Doppler effects.
Unit 11 : Heat and Thermodynamics
Thermal expansion of solids, liquids and gases and
their specific heats, Relationship between Cp and
Cv for gases, first law of thermodynamics,
thermodynamic processes. Second law of
thermodynamics, Carnot cycle efficiency of heat
engines.
Unit 12 : Transference of Heat
Modes of transference of heat. Thermal
conductivity. Black body radiations, Kirchoff’s
Law, Wien’s law, Stefan’s law of radiation and
Newton’s law of cooling.
Unit 13 : Electrostatics
Electric charge-its unit and conservation,
Coulomb’s law, dielectric constant, electric field,
lines of force, field due to dipole and its behaviour
in a uniform electric field, electric flux, Gauss’s
theorem and its applications. Electric potential,
potential due to a point charge. Conductors and
insulators, distribution of charge on conductors.
Capacitance, parallel plate capacitor, combination
of capacitors, energy of capacitor.
Unit 14 : Current Electricity
Electric current and its unit, sources of energy,
cells-primary and secondary, grouping of cells
resistance of different materials, temperature
dependence, specific resistivity, Ohm’s
law,Kirchoff’s law, series and parallel circuits.
Wheatstone Bridge with their applications and
potentiometer with their applications.
Unit 15 : Thermal and Chemical Effects of
Currents
Heating effects of current, electric power, simple
concept of thermo-electricity-Seeback effect and
thermocouple, Chemical effect of current-Faraday’s
laws of electrolysis.
Unit 16 : Magnetic Effects of Currents
Oersted’s experiment, Bio-Savert’s law, magnetic
filed due to straight wire, circular loop and
solenoid, force on a moving charge in a uniform
magnetic field ( Lorentz force), force and torques
on currents in a magnetic field, force between two
current carrying wires, moving coil galvanometer
and conversion to ammeter and voltmeter.
Unit 17 : Magnetostatics
Bar magnet, magnetic field, lines of force, torque
on a bar magnet in a magnetic field, earth’s
magnetic field, para, dia and ferro magnetism,
magnetic induction, magnetic susceptibility.
Unit 18 : Electromagnetic Induction and
Alternating Currents
Induced e.m.f., Faraday’s Law,Lenz’s Law, Self
and Mutual Inductance, alternating currents,
impedance and reactance, power in a.c. Circuits
with L.C. And R Series Combination, resonant
circuits. Transformer and A.C. generator.
Unit 19 : Ray Optics
Reflection and refraction of light at plane and
curved surfaces, total internal reflection, optical
fibre; deviation and dispersion of light by a prism;
Lens formula, magnification and resolving power,
microscope and telescope.
Unit 20: Wave Optics
Wave nature of light; Interference- Young’s double
slit experiment. Diffraction-diffraction due to a
single slit. Elementary idea of polarization.
Unit 21: Electromagnetic Waves
Electromagnetic waves and their characteristics,
Electromagnetic wave spectrum from gamma to
radio waves-propagation of EM waves in
atmosphere.
Unit 22: Electron and Photons
Charge on an electron, e/m for an electron,
photoelectric effect and Einstein’s equation of
photoelectric effect.
Unit 23 : Atoms, Molecules and Nuclei
Alpha particles scattering experiment, Atomic
masses, size of the nucleus; radioactivity; Alpha,
beta and gamma particles/rays and their properties,
radioactive decay law, half life and mean life of
radio-active nuclei, binding energy, mass energy
relationship, nuclear fission and nuclear fusion.
Unit 24: Solids and Semi-Conductors
Devices
Energy bands in solids, conductors, insulators and
semi-conductors, pn junction, diodes, diode as
rectifier, transistor action, transistor as an amplifier.
CHEMISTRY
Unit 1: Some Basic Concepts:
Measurement in chemistry (Precision, significant
figures, S.I. units, Dimensional analysis). Laws of
chemical combination. Atomic Mass, Molecular
Mass, mole concept, Molar Mass, determination of
Molecular formula. Chemical equation,
stoichiometry of Chemical reactions.
Unit 2 : States of Matter
Gaseous state, measurable properties of gases,
Boyle’s Law, Charle’s Law and absolute scale of
temperature, Avogadro’s hypothesis, ideal gas
equation, Dalton’s law of partial pressures.
Kinetic molecular theory of gases (the microscopic
model of gas), deviation form ideal behaviour.
The solid state ( classification of solids, X-ray
studies of crystal lattices and unit cells, packing of
constituent particles in crystals). Imperfection in
solids, electrical, magnetic and dielectic properties
of solids. Liquid state (Properties of liquids,
Vapour pressure, Surface tension, Viscosity).
Unit 3 : Atomic Structure
Constituents of the atom (discovery of electron,
rutherford model of the atom).
Electronics structure of atoms-nature of light and
electromagnetic waves, atomic spectra, bohr’s
model of hydrogen, shortcomings of the bohr
model.
Dual nature of matter and radiation. de-Broglie
relation. The uncertainty principle, Quantum
Mechanical Model of the atom, Orbitals and
Quantum numbers. Shapes of orbitals. Aufbau
principle, Pauli Exclusion principle, Hund’s Rule,
Electronics Configuration of atoms.
Unit 4 : Solutions
Types of solutions, Units of concentration, Vapourpressure
of solutions and Raoult’s law. Colligative
properties. Determination of molecular mass. Nonideal
solutions and abnormal molecular masses.
Volumetric analysis-concentration unit.
Unit 5 : Chemical Energetics and
Thermodynamics
Energy changes during a chemical reaction,
Internal energy and Enthalpy, Internal energy and
Enthalpy changes, Origin of Enthalpy change in a
reaction, Hess’s Law of constant heat summation,
numericals based on these concepts. Enthalpies of
reactions (Enthalpy of neutralization, Enthalpy of
combustion, Enthalpy of fusion and vaporization).
Sources of energy(conservation of energy sources
and identification of alternative sources, pollution
associated with consumption of fuels. The sun as
the primary source).
First law of thermodynamics; Relation between
Internal energy and Enthalpy, application of first
law of thermodynamics.
Second law of thermodynamics: Entropy, Gibbs
energy, Spontaneity of a chemical reaction, Gibbs
energy change and chemical equilibrium, Gibbs
energy available for useful work.
Unit 6 : Chemical Equilibrium
Equilibria involving physical changes ( solid-liquid,
liquid-gas equilibrium involving dissolution of
solids in liquids, gases in liquids, general
characteristics of equilibrium involving physical
processes)
Equilibria involving chemical systems (the law of
chemical equilibrium, the magnitude of the
equilibrium constant, numerical problems).
Effect of changing conditions of systems at
equilibrium (change of concentration, change of
temperature, effect of catalyst-Le Chateliar’s
principle).
Equilibria involving ions- ionization of electrolytes,
weak and strong electrolytes, acid-base
equilibrium, various concepts of acids and bases,
ionization of water, pH scale, solubility product,
numericals based on these concepts.
Unit 7 : Redox Reactions and
Electrochemistry
Oxidation and reduction as an electron transfer
concept. Redox reactions in aqueous solutionselectrochemical
cells. e.m.f. of a galvanic cell.
Dependence of e.m.f. on temperature ( NERNST equation and numerical
problems based on it ).Electrolysis, Oxidation
number (rules for assigning oxidation number,
redox reactions in terms of oxidation number,
nomenclature). Balancing of oxidation-reduction
equations.
Electrolytic conduction. Molar conductivity,
Kohlrausch’s Law and its applications, Voltaic
cell, Electrode potential and Electromotive force,
Gibb’s energy change and cell potential. Electrode
potential and products of electrolysis, Fuel cells,
corrosion and its prevention.
Unit 8 : Rates of Chemical Reactions and
Chemical Kinetics
Rate of reaction, Instantaneous rate of reaction and
order of reaction. Factors affecting rates of
reactions- factors affecting rate of collisions
encountered between the reactant molecules, effect
of temperature on the reaction rate, concept of
activation energy catalyst. Effect of light of rates of
reactions. Elementary reactions as steps to more
complex reactions. How fast are chemical
reactions?
Rate law expression. Order of a reaction (with
suitable examples).Units of rates and specific rate
constant. Order of reaction and effect of
concentration ( study will be confined to first order
only). Temperature dependence of rate constant –
Fast reactions (only elementary idea). Mechanism
of reaction ( only elementary idea). Photochemical
reactions.
Unit 9 : Surface Chemistry
Surface : Adsorption – physical and chemical
adsorption, adsorption isotherms.
Colloids-Preparation and general properties,
Emulsions, Micelles.
Catalysis : Homogeneous and heterogeneous,
structure of catalyst, Enzymes, Zeolites.
Unit 10 : Chemical Families Periodic properties
Modern periodic law, Types of elements –
Representatives elements ( s & p block, Transition
elements – d-block elements, inner transition
elements-f-block elements. Periodic trends in
properties-ionization enthalpy, electron gain
enthalpy, atomic radii, valence, periodicity in
properties of compounds).
Unit 11: Chemical Bonding and Molecular
Structure
Chemical bonds and Lewis structure, shapes of
molecules ( VSEPR theory), Quantum theory of the
covalent bond, hydrogen and some other simple
molecules, carbon compounds, hybridization,
Boron and Beryllium compounds.
Coordinate covalent bond, ionic bond as an extreme
case of polar covalent bond, ionic character of
molecules and polar molecules. Bonding in solid
state ionic, molecular and covalent solids, metals.
Hydrogen bond, Resonance.
Molecules : Molecular orbital. Theory-bond order
and magnetic properties of H2,O2,N2,F2 on the basis
of MOT. Hybridisation involving s, p and d orbitals
(including shapes of simple organic molecules),
Dipole moment and structure of molecules.
Unit 12 : Chemistry of Non-Metals - 1
Hydrogen (unique position in periodic table,
occurrence, isotopes, properties, reactions and
uses), Hydrides-molecular, soline and interstitial
Oxygen (occurrence, preparation, properties and
reactions, uses),simple oxides; ozone
Water and hydrogen peroxide, structure of water
molecule and its aggregates, physical and chemical
properties of water, hard and soft water, water
softening, hydrogen peroxide-preparation,
properties, structure and uses.
Nitrogen- Preparation, properties, uses, compounds
of Nitrogen-Ammonia, Oxides of Nitrogen, Nitric
Acid-preparation, properties and uses.
Unit 13: Chemistry of Non-metals-II
Boron-occurrence, isolation, physical and chemical
properties, borax and boric acid, uses of boron and
its compounds.
Carbon, inorganic compounds of carbon-oxides,
halides, carbides, elemental carbon.
Silicon- occurrence, preparation and properties,
oxides and oxyacids of phosphorus, chemical
fertilizers.concentration and oxyacids of phosphorus
chemical fertilizers.
reactions, oxides, Sulphuric acid –preparation,
properties and uses, sodium thiosulphate.
Halogens- occurrence, preparation, properties,
hydrogen halides, uses of halogens.
Noble gases- discovery, occurrence and isolation,
physical properties, chemistry of noble gases and
their uses.
Unit 14 : Chemistry of Lighter Metals
Sodium and Potassium- occurrence and extraction,
properties and uses. Important compounds-NaCl,
Na2CO3,NaHCO3, NaOH, KCI,KOH.
Magnesium and calcium-occurrence and extraction,
properties and uses. Important compounds Mgcl2,
MgSO4, CaO, Ca(OH)2,CaCO3, CaSO4, Plaster
of paris, Bleaching Powder.
Aluminium –occurrence, extraction properties and
uses, compounds-AlCI3, alums.
Cement.
Biological role of Sodium, Potassium, Magnesium
and Calcium.
Unit 15 :- Heavy Metals
Iron – Occurrence and extraction, compounds of
iron, oxides, halides, sulphides, sulphate, alloy and
steel.
Copper and Silver- occurrence and extraction,
properties and uses, compounds-sulphides, halides
and sulphates, photography.
Zinc and Mercury- occurrence and extraction,
properties and uses, compounds-oxides, halides;
sulphides and sulphates.
Tin and Lead- occurrence and extraction, properties
and uses, compounds-oxides, sulphides, halides.
Unit 16: Chemistry of Representative
Elements
Periodic properties- Trends in groups and periods
(a) Oxides-nature (b) Halides-melting points (c)
Carbonates and sulphates-solubility.
The chemistry of s and p block elements,
electronics configuration, general characteristic
properties and oxidation states of the following:-
Group 1 elements - Alkali metals
Group 2 elements - Alkaline earth metals
Group 13 elements - Boron family
Group 14 elements - Carbon family
Group 15 elements - Nitrogen family
Group 16 elements - Oxygen family
Group 17 elements - Halogen family
Group 18 elements - Noble gases & Hydrogen
Unit 17 : Transition Metals Including
Lanthanides
Electronic configuration : General characteristic
properties, oxidation states of transition metals.
First row transition metals and general properties of
their compounds-oxides, halides and sulphides.
General properties of a second and third row
transition elements ( Groupwise discussion).
Preparation and reactions, properties and uses of
Potassium dichromate Potassium permanganate.
Inner Transition Elements: General discussion with
special reference to oxidation states and lanthanide
contraction.
Unit 18 : Coordination Chemistry and Organo
Metallics
Coordination compounds, Nomenclature:
Isomerism in coordination compounds; Bonding in
coordination compounds, Werner’s coordination
theory. Applications of coordination compounds.
Unit 19 : Nuclear Chemistry
Nature of radiation from radioactive substances.
Nuclear reactions; Radio-active disintegration
series; Artificial transmutation of elements; Nuclear
fission and Nuclear fusion: Isotopes and their
applications: Radio carbon-dating.
Unit 20: Purification and Characterisation of
Organic Compounds
Purification (crystallization, sublimation,
distillation, differential extraction,
chromatography).
Qualitative analysis, detection of nitrogen, sulphur,
phosphorus and halogens.
Quantitative analysis- estimation of carbon,
hydrogen, nitrogen, halogens, sulphur, phosphorus
( basic principles only)
Determination of molecular mass-Silver salt
method, cholroplatinate salt method
Calculation of empirical formula and molecular
formula.
Numerical problems in organic quantitative
analysis, modern methods of structure elucidation.
Unit 21 : Some Basic Principles
Classification of Organic Compounds.
Tetravalency of Carbon, Homologous series.
Functional groups- - C=C-,-C C-,and groups
containing halogen, oxygen, nitrogen and sulphur.
General introduction to naming organic
compounds-Common names and IUPAC
nomenclature of alphatic, aromatic and Cyclic
Compounds. Illustration with examples of
Compounds having not more than three same of
different functional groups/ atoms. Isomerism-
Structural and stereoisomerism (geometrical and
optical). Chirality-Isomerism in Compounds having
one and two chiral Centres. Enantiomers,
diastereoisomers, recemic forms, recemisation &
resolution.
Covalent bond fission-Homolytic and Heterolytic:
free radicals carbocations and carbanions. Stability
of Carbocations and free-radicals. Electrophiles and
Nucleophiles.
Electron displacement in a covalent bond-inductive
effect, electromeric effect, resonance Common
types of organic reactions- Substitution, addition,
elimination and rearrangement reactions.
Illustration with examples.
Unit:- 22 Hydrocarbons
Classification. Sources of hydrocarbons:
Alkanes- General methods of preparation (from
unsaturated hydrocarbons, alkylhalides, aldehydes,
ketones and carburoxylic acids). Physical properties
and reactions (Substitution), Oxidation and
miscellaneous). Conformations of alkanes(ethane,
popane butane) and cyclohexane, sawhorse and
Newman projections)-mechanism of halogaration
of alkanes.
Alkanes and Alkynes- General methods of
preparation physical peorperties, Chemical
reactions-Mechanism of electrophilic addition
reactions in alkenes-Markowni Koff’s Rule,
peroxide effect. Acidic character of alkynes.
Polymerisation of alkenes.
Aromatic hydrocarbons- Benzene and its
homologues, Isomerism, Chemical reactions of
benzene. Structure of benzene, resonance.
Directive influence of substituents.
Petroleum – Hydro Carbons from Petroleum,
Cracking and reforming, quality of gasoline-Octane
number, gasoline additives.
Unit 23:- Organic Compounds Containing
Halogens
( Haloakanes and Haloarenes)
Methods of preparation, physical properties and
reactions. Preparation, properties and uses of
Chloroform and lodoform.
Unit 24:- Organic Compounds Containing
Oxygen
General methods of preparation, correlation of
physical properties with their structures, chemical
properties and uses of Alchols, polyhydric
alcohols, Ethers, aldehydes, ketones, carboxylic
acids and their derivatives, Phenol, Benzaldehyde
and Benzoic acid -their important methods of
preparation and reactions. Acidity of carboxylic
acids and phenol effect of substituents on the
acidity of carboxylic acids.
Unit 25 :- Organic Compounds Containing
Nitrogen
(Cyanides, isocyanides, nitrocompounds and
amines)
Nomenclature and classification of amines,
cyanides, isocyanides, nitrocompounds and their
methods of preparation; correlation of their
physical properties with structure, chemical
reactions and uses- Basicity of amines.
Unit 26:- Synthetic and Natural Polymers
Classification on Polymers, natural and synthetic
polymers ( with stress on their general methods of
preparation) and important uses of the following.
Teflon, PVC, Polystyrene, Nylon-66, terylene,
Bakelite)
Unit 27 :- Bio Molecules and Biological
Processes
The Cell and Energy Cycle
Carbohydrates : Monosaccharides, Disaccharides,
Polysaccharides
Amino acids and Peptides- Structure and
classification.
Proteins and Enzymes-Structure of Proteins,
Role of enzymes.
Nucleic Acids-DNA and RNA
Biological functions of Nucleic acids-Protein
synthesis and replication.
Lipids – Structure, membranes and their functions.
Unit 28:- Chemistry In Action
Dyes, Chemicals in medicines ( antipyretic,
analgesic, antibiotics & tranquilisers),
Rocket propellants.
( Structural formulae non-evaluative)
Unit 29 :- Environmental Chemistry
Environmental pollutants; soil, water and air
pollution; major atmospheric pollutants; acid rain,
Ozone and its reactions causing ozone layer
depletion, effects of the depletion of ozone layer,
industrial air pollution.
MATHEMATICS
Unit 1:- Sets, Relations and Functions
Sets and their Representations, Union, intersection
and complements of sets, and their algebraic
properties, Relations, equivalence relations,
mappings, one-one, into and onto mappings,
composition of mappings.
Unit 2 : Complex Numbers
Complex numbers in the form a+ib and their
representation in a plane. Argand diagram. Algebra
of complex numbers, Modulus and Argument (or
amplitude) of a complex number, square root of a
complex number. Cube roots of unity, triangle
inequality.
Unit 3 : Matrices and Determinants
Determinants and matrices of order two and three,
properties of determinants, Evaluation of
determinants. Area of triangles using determinants;
Addition and multiplication of matrices, adjoint and
inverse of matrix. Test of consistency and solution
of simultaneous linear equations using determinants
and matrices.
Unit 4: Quadratic Equations
Quadratic equations in real and complex number
system and their solutions. Relation between roots
and co-efficients, nature of roots, formation of
quadratic equations with given roots; Symmetric
functions of roots, equations reducible to quadratic
equations-application to practical problems.
Unit 5 : Permutations and Combinations
Fundamental principle of counting; Permutation as
an arrangement and combination as selection,
Meaning of P (n,r) and C (n,r). Simple applications.
Unit 6 : Mathematical Induction and Its
Application
Unit 7 : Binomial Theorem and Its Applications
Binomial Theorem for a positive integral index;
general term and middle term; Binomial Theorem
for any index. Properties of Binomial Co-efficients.
Simple applications for approximations.
Unit : 8 Sequences and Series
Arithmetic, Geometric and Harmonic progressions.
Insertion of Arithmetic Geometric and Harmonic
means between two given numbers. Relation
Between A.M., G.M. and H.M. Special series:
Sn,Sn2,Sn3. Arithmetico-Geometric Series,
Exponential and Logarithmic series.
Unit : 9 Differential Calculus
Polynomials, rational, trigonometric, logarithmic
and exponential functions, Inverse functions.
Graphs of simple functions. Limits, Continuity;
differentiation of the sum, difference, product and
quotient of two functions: differentiation of
trigonometric, inverse trigonometric, logarithmic,
exponential, composite and implicit functions;
derivatives of order upto two. Applications of
derivatives: Rate of change of quantities,
monotonic-increasing and decreasing functions,
Maxima and minima of functions of one variable,
tangents and normals, Rolle’s and Lagrange’s
Mean Value Theorems.
Unit 10 :- Integral Calculus
Integral as an anti-derivative. Fundamental
integrals involving algebraic, trigonometric,
exponential and logarithmic functions. Integration
by substitution, by parts and partial fractions.
Integration using trigonometric identities. Integral
as limit of a sum. Properties of definite integrals.
Evaluation of definite integrals; Determining areas
of the regions bounded by simple curves.
Unit 11:- Differential Equations
Ordinary differential equations, their order and
degree. Formation of differential equations.
Solution of differential equations by the method of
separation of variables. Solution of homogeneous
and linear differential equations, and those of the
type
d2y = f(x)
dx2
Unit 12:- Two Dimensional Geometry
Recall of Cartesian system of rectangular coordinates
in a plane, distance formula, area of a
triangle, condition of the collinearity of three points
and section formula, centroid and in-centre of a
triangle, locus and its equation, translation of axes,slope of a line, parallel and perpendicular lines,
intercepts of a line on the coordinate axes.
The straight line and pair of straight lines
Various forms of equations of a line, intersection of
line, angles between two lines, conditions for
concurrence of three lines, distance of a point from
a line Equations of internal and external bisectors
of angles between two lines, coordinates of
centroid, orthocenter and circumcentre of a
triangle, equation of family of lines passing through
the point of intersection of two lines, homogeneous
equation of second degree in x and y, angle
between pair of lines through the origin, combined
equation of the bisectors of the angles between a
pair of lines, condition for the general second
degree equation to a represent a pair of lines, point
of intersection and angle between two lines.
Circles and Family of Circles
Standard form of equation of a circle, general form
of the equation of a circle, its radius and centre,
equation of a circle in the parametric form,
equation of a circle when the end points of a
diameter are given, points of intersection of a line
and a circle with the centre at the origin and
conditions for a line to be tangent to the circle,
length of the tangent, equation of the tangent,
equation of a family of circles through the
intersection of two circles, condition for two
intersecting circles to be orthogonal.
Conic Sections
Sections of cones, equations of conic sections
(parabola, ellipse and hyperbola) in standard
forms, condition for
y = mx+c to be a tangent and point (s) of tangency.
Unit 13 : Three Dimentsional Geometry
Coordinates of a point in space, distance between
two points; Section formula, direction ratios and
direction cosines, angle between two intersecting
lines. Skew lines, the shortest distance between
them and its equation. Equations of a line and a
plane in different forms; intersection of a line and a
plane, coplanar lines, equation of a sphere, its
centre and radius. Diameter form of the equation of
a sphere.
Unit 14 : Vector Algebra
Vectors and Scalars, addition of vectors,
components of a vector in two dimensions and
three dimensional space, scalar and vector products,
scalar and vector triple product. Application of
vectors to plane geometry.
Unit 15 : Measures of Central Tendency and
Dispersion
Calculation of Mean, median and mode of grouped
and ungrouped data. Calculation of standard
deviation, variance and mean deviation for grouped
and ungrouped data.
Unit 16 :- Probability
Probability of an event, addition and multiplication
theorems of probability and their application;
Conditional probability; Bayes’ Theorem,
probability distribution of a random variate;
Binomial and Poisson distributions and their
properties.
Unit 17 : Trigonometry
Trigonometrical identities and equations. Inverse
trigonometric functions and their properties.
Properties of triangles, including centroid, incentre,
circum-centre and orthocenter, solution of triangles.
Heights and Distances.
Unit 18: Statics
Introduction, basis concepts and basic laws of
mechanics, force, resultant of forces acting at a
point, parallelogram law of forces, resolved parts of
a force, Equilibrium of a particle under three
concurrent forces, triangle law of forces and its
converse, Lami’s theorem and its converse, Two
parallel forces, like and unlike parallel forces,
couple and its moment.
Unit 19 :- Dynamics
Speed and velocity, average speed, instantaneous
speed, acceleration and retardation, resultant of two
velocities. Motion of a particle along a line, moving
with constant acceleration. Motion under gravity.
Laws of motion, Projectile motion
BIOLOGY (BOTANY AND ZOOLOGY)
(Only for Int. M.Sc. (Biotech.))
Unit 1 : Diversity in Living World
Biology – its meaning and relevance to mankind
What is living; Taxonomic categories and aids
(Botanical gardens, herbaria, museums, zoological
parks); Systematics and Binomial system of
nomenclature.
Introductory classification of living organisms
(Two-kingdom system, Five-kingdom system);
Major groups of each kingdom alongwith their
salient features (Monera, including Archaebacteria
and Cyanobacteria, Protista, Fungi, Plantae,
Animalia); Viruses; Lichens
Plant kingdom – Salient features of major groups
(Algae to Angiosperms);
Animal kingdom – Salient features of
Nonchordates up to phylum, and Chordates up to
class level.
Unit 2 : Cell : The Unit of Life ; Structure
and Function
Cell wall; Cell membrane; Endomembrane system
(ER, Golgi apparatus/Dictyosome, Lysosomes,
Vacuoles); Mitochondria; Plastids; Ribosomes;
Cytoskeleton; Cilia and Flagella; Centrosome and
Centriole; Nucleus; Microbodies.
Structural differences between prokaryotic and
eukaryotic, and between plant and animal cells.
Cell cycle (various phases); Mitosis; Meiosis.
Biomolecules – Structure and function of
Carbohydrates, Proteins, Lipids, and Nucleic acids.
Enzymes – Chemical nature, types, properties and
mechanism of action.
Unit 3 : Genetics and Evolution
Mendelian inheritance; Chromosome theory of
inheritance; Gene interaction; Incomplete
dominance; Co-dominance; Complementary genes;
Multiple alleles;
Linkage and Crossing over; Inheritance patterns of
hemophilia and blood groups in humans.
DNA –its organization and replication;
Transcription and Translation; Gene expression and
regulation; DNA fingerprinting.
Theories and evidences of evolution, including
modern Darwinism.
Unit 4 : Structure and Function – Plants
Morphology of a flowering plant; Tissues and
tissue systems in plants;
Anatomy and function of root, stem(including
modifications), leaf, inflorescence, flower
(including position and arrangement of different
whorls, placentation), fruit and seed; Types of fruit;
Secondary growth;
Absorption and movement of water (including
diffusion, osmosis and water relations of cell) and
of nutrients; Translocation of food; Transpiration
and gaseous exchange; Mechanism of stomatal
movement.
Mineral nutrition – Macro- and micro-nutrients in
plants including deficiency disorders; Biological
nitrogen fixation mechanism.
Photosynthesis – Light reaction, cyclic and noncyclic
photophosphorylation; Various pathways of
carbon dioxide fixation; Photorespiration; Limiting
factors .
Respiration – Anaerobic, Fermentation, Aerobic;
Glycolysis, TCA cycle; Electron transport system;
Energy relations.
Unit : 5 Structure and Function - Animals
Tissues;
Elementary knowledge of morphology, anatomy
and functions of different systems of earthworm,
cockroach and frog.
Human Physiology – Digestive system - organs,
digestion and absorption; Respiratory system –
organs, breathing and exchange and transport of
gases. Body fluids and circulation – Blood, lymph,
double circulation, regulation of cardiac activity;
Hypertension, Coronary artery diseases.
Excretion system – Urine formation, regulation of
kidney function
Locomotion and movement – Skeletal system,
joints, muscles, types of movement.
Control and co-ordination – Central and peripheral
nervous systems, structure and function of neuron,
reflex action and sensory reception; Role of various
types of endocrine glands; Mechanism of hormone
action.
Unit : 6 Reproduction, Growth and Movement
in Plants
Asexual methods of reproduction; Sexual
Reproduction - Development of male and female
gametophytes; Pollination (Types and agents);
Fertilization; Development of embryo, endosperm,
seed and fruit (including parthenocarpy and
apomixis).
Growth and Movement – Growth phases; Types of
growth regulators and their role in seed dormancy,
germination and movement; Apical dominance;
Senescence; Abscission; Photo- periodism;
Vernalisation; Various types of movements.
Unit 7 : Reproduction and Development
in Humans Male and female reproductive systems; Menstrual
cycle; Gamete production; Fertilisation;
Implantation; Embryo development; Pregnancy and
parturition; Birth control and contraception.
Unit 8 : Ecology and Environment
Meaning of ecology, environment, habitat and
niche.
Ecological levels of organization (organism to
biosphere); Characteristics of Species, Population,
Biotic Community and Ecosystem; Succession and
Climax.
Ecosystem – Biotic and abiotic components;
Ecological pyramids; Food chain and Food web;
Energy flow; Major types of ecosystems including
agroecosystem.
Ecological adaptations – Structural and
physiological features in plants and animals of
aquatic and desert habitats.
Biodiversity – Meaning, types and conservation
strategies (Biosphere reserves, National parks and
Sanctuaries)
Environmental Issues – Air and Water Pollution
(sources and major pollutants); Global warming
and Climate change; Ozone depletion; Noise
pollution; Radioactive pollution; Methods of
pollution control (including an idea of
bioremediation); Deforestation; Extinction of
species (Hot Spots).
Unit 9 : Biology and Human Welfare
Animal husbandry – Livestock, Poultry, Fisheries;
Major animal diseases and their control. Pathogens
of major communicable diseases of humans caused
by fungi, bacteria, viruses, protozoans and
helminths, and their control.
Cancer; AIDS.
Adolescence and drug/alcohol abuse;
Basic concepts of immunology.
Plant Breeding and Tissue Culture in crop
improvement.
Biofertilisers (green manure, symbiotic and freeliving
nitrogen-fixing microbes, mycorrhizae);
Biopesticides (micro-organisms as biocontrol
agents for pests and pathogens); Bioherbicides;
Microorganisms as pathogens of plant diseases with
special reference to rust and smut of wheat,
bacterial leaf blight of rice, late blight of potato,
bean mosaic, and root - knot of vegetables.
Bioenergy – Hydrocarbon - rich plants as substitute
of fossil fuels.
Unit 10 : Biotechnology and its Applications
Microbes as ideal system for biotechnology;
Microbial technology in food processing, industrial
production (alcohol, acids, enzymes, antibiotics),
sewage treatment and energy generation.
Steps in recombinant DNA technology –
restriction enzymes, DNA insertion by vectors and
other methods, regeneration of recombinants.
Applications of R-DNA technology. In human
health –Production of Insulin, Vaccines and
Growth hormones, Organ transplant, Gene therapy.
In Industry – Production of expensive enzymes,
strain improvement to scale up bioprocesses. In
Agriculture – GM crops by transfer of genes for
nitrogen fixation, herbicide-resistance and pestresistance
including Bt crops.
EXAMINATION CENTRES
| Name of the State / City | Examination Centre | Centre Code |
|---|---|---|
| Andaman Nicobar | Port Blair | 01 |
| Andhra Pradesh | Hyderabad | 02 |
| Vishakhapatnam | 03 | |
| Assam | Guwahati | 04 |
| Silchar | 05 | |
| Bihar | Bhagalpur | 06 |
| Gaya | 07 |
| Bihar | Patna | 08 |
| Chhatisgarh | Bilaspur | 09 |
| Raipur | 10 | |
| Delhi | New Delhi | 11 |
| Gujarat | Ahmedabad | 12 |
| Goa | Panjim | 13 |
| Himachal Pradesh | Simla | 14 |
| Jharkhand | Bokaro | 15 |
| Dhanbad | 16 | |
| Jamshedpur | 17 | |
| Ranchi | 18 | |
| Jammu Kashmir | Jammu | 19 |
| Kerala | Thiruvananthapuram | 20 |
| Karnataka | Bangalore | 21 |
| Madhya Pradesh | Bhopal | 22 |
| Gwalior | 23 | |
| Indore | 24 | |
| Maharashtra | Mumbai | 25 |
| Nagpur | 26 | |
| Pune | 27 | |
| Manipur | Imphal | 28 |
| Meghalaya | Shillong | 29 |
| Nagaland | Dimapur | 30 |
| Orissa | Angul | 31 |
| Balasore | 32 | |
| Baripada | 33 | |
| Berhampur | 34 | |
| Bhawanipatna | 35 | |
| Bhubaneswar | 36 | |
| Bolangir | 37 | |
| Cuttack | 38 | |
| Keonjhar | 39 | |
| Koraput | 40 | |
| Rourkela | 41 | |
| Sambalpur | 42 | |
| Punjab | Chandigarh | 43 |
| Pondicherry | Pondicherry | 44 |
| Rajasthan | Jaipur | 45 |
| Kota | 46 | |
| Sikkim | Gangtok | 47 |
| Tamil Nadu | Chennai | 48 |
| Tripura | Agartala | 49 |
| Uttar Pradesh | Allahabad | 50 |
| Banaras | 51 | |
| Bareilly | 52 | |
| Gorakhpur | 53 | |
| Kanpur | 54 | |
| Lucknow | 55 | |
| Uttaranchal | Dehradun | 56 |
| Pant Nagar | 57 | |
| West Bengal | Durgapur | 58 |
| Kharagpur | 59 | |
| Kolkata | 60 | |
| Siliguri | 61 |
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