SYLLABUS FOR
ENTRANCE TEST
A.
For Undergraduate Courses:
Please refer to Annexure-I of Information Brochure for the
subjects. The course in each subject is same as that of Higher
Secondary level.
B.
For Postgraduate Courses:
Please refer to Annexure-II of Information Brochure for the
subjects. The syllabus for each subject of the Entrance Test is as follows:
Applied Geography
1.
Geomorphology : Distribution of landmasses and
water masses, Continental Drift Theory, Recent Advancements (Plate - Tectonice, Seafloor spreadings),
Internal Structure of the earth, Isostasy, (Concept
of Airy and Pratt). Fold, Faults, Earthquake,
Volcanoes, Processes of Mountain Building (Kober and
Homes), Rocks, Soils and Soil forming processes, Major soil groups of World.
Weathering, Cycle of erosion (concepts of Davis and Penck),
Erosional and depositional features produced by
river, ground-water, Glacier, Wind Waves, Poly-cyclic landforms.
2.
Climatology and Oceanography : Elements and factors of
climate, Structure and composition of Atmosphere, Temperature, Pressure,
Wind-system, Moisture, Airmasses and Fronts, Cyclones
and anticyclones, Classification of World climate.
General relief features of the oceans and Hypsographic curve, salinity
and temperature of sea water, ocean deposits, coral reefs and atoils, marine resources. Waves, tides
and ocean currents.
3.
Environment and Eco-systems : Meaning, Concepts and types of environment,
Environmental changes, Environmental Controls, Major Environmental zones.
Concept of Eco-system, Natural Cycles (Phosphorous and Nitrogen Cycle), Water
and Air Pollution.
4.
Economic Geography : Resources - Types, Distribution and conservation,
Agriculture - Types and problems. Von Thunen's Theory
of Agricultural location. Mineral Distribution & uses of Iron-ore, Bauxite,
Gold and Limestone. Types of Energy and Energy Crisis. Industries - Factors
affecting location of Industries, Industrial location theory of Weber.
5.
Human Geography : Contribution of Humboldt, Ritter, Ratzel and Blache to geographical
thought, Major ethnic groups of the World. Cultural realms of the World,
Concept of Hinterland and Rimlands, Frontiers.
Factors controlling distribution of World population, Population density
and structure and components of change of population, World population
problems, Population theories (Malthusian and Neo-Malthusian).
Types of Settlement, Factors affecting growth and
distribution of rural and urban settlement, Morphology of Urban Settlement,
Central place theory of Christler.
6.
Geography of
7.
Practical Geography
:
Histogram and Frequency polygon, Frequency curve. Measures of Central
tendencies, measures of dispersion, correlation, Fundamentals of Map
projection, Types of Surveys (Instrument :
Socio-economic), Use of R.S. & G.I.S. Techniques is Geography.
Botany
1.
Cell Biology : Ultrastructure of Plant
Cell, Cell Wall ; Structure and
functions of Cell Organelles. Chromosomes; Cell division :
mitosis and meiosis.
2.
Genetics : Mendelism, Non-mendelian ratios, Point mutation, Chromosomal aberration,
Polyploidy.
3.
Plant Breeding : Techniques of Plant breeding.
4.
Evolution : Evidence and Theories.
5.
Diversities of
(a) Microbiology : Viruses
and Bacteria, Microbes in relation to man.
(b) Algae : Life Cycle and
economic importance of Chalorella, Volvox, Oedogoniumou, Fucus, Batrachospermum.
(c)
Fungi : Structure, Reproduction and life cycle of Saprolegnia, Puccinia, Agaricus.
(d) Bryophytes :
Structure, reproduction and life cycle of Riccia, Marchantia, Anthoceros.
(e) Pteridophytes : Structure,
Reproduction and life cycle of Psilotum, Lycopodium, Selaginella, Marsilea.
(f)
Gymnosperms : Structure, Reproduction and life cycle of Pinus, Gnetum.
(g) Palaeobotany : Fossil and fossilisation process.
(h)
Angiosperms : Origin of angiosperms, Classification of angiosperms
(Bentham and Hooker ; Engler
and Prantl ;
(i)
Type families : Rosaceae, Apiaceae, Apocynaceae, Scrophulariaceae, Acanthaceae, Rubiaceae, Poaceae, Cyperaceae, Amaryllidaceae, Orchidaceae.
6.
Anatomy : Mechanical tissue, Meristematic
tissue, Anomalous secondary growth.
7.
Embryology : Microsporogenesis, Megasporogenesis, Male gametophyte, Female gametophyte,
Fertilization, Embryo, Endosperm.
8.
Physiology and Biochemistry : Conduction of water, Transpiration, Absorption of
minerals, Enzymes, Photosynthesis, Respiration, Nitrogen fixation, Protein
synthesis.
9.
Biostatistics : Frequency distribution, Central tendency,
Dispersion.
10. Ecology : Ecosystem,
Energy flow, Trophic levels, Ecological pyramid,
Biogeochemical cycles, Plant Succession.
11. Biotechnology : Tissue
culture, Protoplant technique, recombinant DNA teachnology, Concept of transgenics.
Chemistry
Physical
Chemistry
1.
Kinetic theory of gases : Postulates of Kinetic theory and derivation of
Kinetic gas equation, Deviation from ideal behaviour, Van der
Walls' equation of state. Critical phenomena and critical instruments.
Liquefaction of gases, molecular velocities, Qualitative discussion of Maxwell
- Boltzmann distribution of molecular velocities,
collision number, mean free path and collision
diameter.
2.
Dilute Solutions and Colligative
Properties : Raoult's
law, relative learning of vapour premure, molecular mass
determination, Osmosis and its laws, Osmotic pressure, Determination of
molecular mass from osmotic pressure. Elevation of boiling point and depression
of freezing point. Thermodynamic derivation of relation between molecular mass
and colligative properties. Abnormal molar mass,
degree of dissociation and association.
3.
Homogeneous gaseous equilibria : Law of mass action and the thermodynamic derivation
of the expression for the equilibrium constant. Le-chatelier's
Principle, The vant Hoff's equation & its
integration.
4.
The Chemical Kinetics : Order & Molecularity.
Kinetics of first and second order reactions. Collision theory of reaction
rates. Qualitative treatment of transition state theory.
5.
Thermodynamics : First Law of thermodynamics : Heat content and heat
capacity. Isothermal and adiabatic changes. Work done in the expansion of an
ideal gas. Joule - Thomson effect. J - T coefficient for ideal and van der Waal's gases. Thermochemistry - Hess's law, Kirchhoff's
equation. Second Law of thermodynamics: Carnot's
theorem. Efficiency of heat engines, entropy changes in reversible and
irreversible processes. Entropy changes in an ideal gas, variation of entropy
with temperature, Pressure and Volume. Free energy & work function,
Conditions of equilibrium, Clausius - Clapeyron equation. Gibbs - Helmholtz
equation, Chemical potential, Gibb's Duhem equation.
6.
Electrochemistry : Derivation of Onsager's
conductance equation for strong electrolytes and its validity. Conductance of weak electrolytes, Debye - Huckel theory, activity
and activity coefficients. Applications of conductance measurements. Transport
number & its measurement. EMF - Galvanic cells, cell reactions, EMF of
reversible cells and expression for single electrode potential, concentration
cell with and without transference. Determination of transport numbers, heat of reactions & solubility of a
sparingly soluble salt by EMF method.
Inorganic
Chemistry
7.
Atomic Structure : Bohr and Sommer field
model, de-Broglie equation. Heisenberg's uncertainty
principle, Schrodinger's wave equation, significance
of -ve value of energy, quantum numbers, radial and
angular wave functions, probability distribution curves, shape of s, p, d and f-orbitals.
Pandi's exclusion principle, Hund's
rule, Auf bau principle, electronic configuration of
elements, effective nuclear charge.
8.
Periodic classification of elements
: Atomic and ionic radii, ionisation potential, electron abbinity,
electronegativity, methods of determination, trends
in periodic properties and explaining chemical behaviour.
9.
Chemical Bonding :
(a) Electrovalent
bond :
Ionic structure, radius ratio effect, Coordination number, Lattice defects,
Lattice energy, Born -Haber Cycle, Solvatim energy energy, Polarisation power and polarisability.
(b) Covalent bond : VB theory,
Heitler -
VSEPR theory for NH3, H2O, SF4, ClF3
and ICI2 , Multicenter
bond in electron deficient molecules,
percentage ionic character from dipole moment and electronegativity
difference. Molecular orbital treatment of H2, H2+,
N2, O2 , F2 and Co.
(c)
Other types of Bonds : Van der Walls' force,
Hydrogen bond, metallic bond, metallic bond, insulators, semiconductors and
conductors.
10. Nuclear
Chemistry : Theory of radioactive
disintegration, half life period, radioactive series, Group displacement law,
Radioactive equilibrium, artificial radioactivity, disintegration by α, β, and P. Fission and fusion reactions, Radioactive
isotopes and their applications.
11. Coordination
Compounds :
Werner's theory, EAN concept, chelates, monoculture
of coordination compounds, Isomerism in coordination compounds. Factors
influencing the stability of complexes.
12. Bio-inorganic
Chemistry : Essential and truce
elements in biological processes, metal porphyrins
with special reference to haemoglobin and myoglobin, biological role of alkali and alkaline earth
metal ions with special reference to Na+, K+ and Ca++, Nitrogen fixation,
Toxicity of Pb, Cd and Hg.
Organic
Chemistry
13. Distribution of electrons in Organic molecules :-
(a) Inductive effect, Resonance and its conditions, Hyperconjugation & Steric
effects.
(b) Influence of these effects on acidity, basicity & dipole moment.
14. Reaction
Mechanism :
Classification of reactions - Substitution, addition and elimination
reactions, kinetic terms.
Reaction intermediates : Carbocation,
carbanion, Free radicals & carbenes
- their formation, stability & structure. Mechanistic
classification of SN1, SN2, SNi,
SE1, SE2, E1CB, AdN,
AdE, E1 and E2.
(Full term explanation with examples)
15. Stereochemistry
:
Sawhorse, Newman & Fischer projection formula of molecules
containing C-C bond, Conformation of cyclohexane -
calculation of energies of boat & chair conformation of cyclohexane.
Conformation of mono and dimethyl cyclohexane. D-L convention for
designation of optical isomers. R. S. notation, Resolution of racemic mixtures.
Geometrical Isomerism : Structural
requirements, configuration of aldoximes & ketoximes, E, Z-notation.
16. (a) Aromatic hydrocarbons, concept of aromaticity, Electrophilic
substitution (Halogenation, sulphonation,
nitration and Friedel Craft's reaction), Orientation
influence in aromatic substitution (SArN1, SArN2 &
SArE2).
(b) Alkyl and aryl halides :
Preparation and properties.
(c)
Aryl nitrogen compounds : Nitrohydrocarbons,
Reduction of nitrobenzene. Amines - separation of amines, Basicity
of amines. Diazo reaction, Benzene diazonium salts - structure & systhetic
uses.
(d) Aliphatic and aryl oxygen compounds
: Alcohols - Distinction. Phenols - Preparation & properties -
acidity, electrophilic substitution, Kolbe's
synthesis, Reimer-Tiemann reaction, comparison with
alcohols.
(e) Aliphatic and aryl aldehydes
and ketones - Preparation and their characteristic
reaction. Cannizzaro's, Benzoin
& Perkin reaction.
(f)
Aliphatic and
aryl carboxylic acids : Preparation and Properties.
(g) Grignard reagent - Preparation & synthetic applications.
(h)
Active methylene compounds : Ethyl acetoacetate : Preparation (Claisen
condensation), Keto-enol tautomerism-Synthetic
applications. Diethyl malonate - Preparation &
synthetic applications.
17. Name reactions : Diels-Alder, Fries, Beckmann, Michael, Mannich,
Reformatsky ( Principle, Mechanism & application
).
18. (a) U, V. Spectroscopy : Absorption laws, molar absorptivity, Types of electronic transitions : σ- σ*, n -
σ*, π - π*and n - π*
transitions, Effect of conjugation,
concept of chromophores and auxotrophies,
Bathochromic, hypesochromic,
hyperchromic and hypochrimic
shifts, UV spectra of conjugated enes and enones.
(b)
IR Spectroscopy
: Basic
principle, molecular vibrations, Hooke's law, Finger
print region, characteristic absorption of various functional groups:
Decarbonizes, alcohols, amines, aldehydes, Ketenes,
acids and aromatic rings.
(c)
NMR Spectroscopy : Proton magnetic resonance, nuclear shielding and deshielding,
chemical shift and molecular structure, spin - spin coupling, coupling
constants, Areas of signals, interpretation of spectra of molecules like ethyl
alcohol, ethyl bromide, acetaldehyde, 1, 3 - di - cheorophospane, 1, 1, 2 - tribromo
ethane, ethylacetate.
(d) Mass
Spectroscopy : Basic principle,
determination of molecular formula, parent and metastable
peaks, mass spectra of some organic molecules (hydrocarbon, alcohol and amine
only)
(e) Structure determination of simple organic compounds
using UV, IR, NMR and Mass spectral data.
Commerce
1.
Accounting : (a) Concepts and Conventions of Accounting, (b)
Partnership Accounts, (c) Company Accounts - Issue, forfeiture, re-issue,
redemption of preference shares, (d) Standard Costing and Marginal Costing
(Cost Variance Analysis), (e) Ratio Analysis.
2.
Business Law : Indian Contract Act :
(a) Offer, Acceptance and Consideration, (b) Capacity and free consent
of parties, (c) Bailment and Pledge, (d) Consumer Protection Act.
3.
Statistics Methods : (a) Correlation Analysis - Simple Correlation,
Different methods of measuring degree of correlation (b) Regression Analysis,
(c) Theory of Probability, (d) Network Analysis.
4.
Business Mathematics :
Calculus (Problems
and theorems involving trigonometrical ratios are not
be done).
Differentiation
: Partial derivatives up to
second order. Homogeneity of functions and Euler's theorem :
total differentials : Differentiation of implicit function with the help of
total differentials.
Maxima and Minima : Cases of one variable involving second or higher
order derivatives; cases of two variables involving not more than one
constraint.
Integration
: Integration as
anti-derivative process; Standard forms ; Methods of Integration by
substitution, by parts, and by use of partial fractions; Definite integration :
Finding areas in simple cases; Consumer's and producer's surplus; Nature of
Commodities, Learning Curve; Leontief input - Output
Model.
Matrices and Determinants
: Definition of a matrix;
Types of Matrics : Algebra of Matrics;
Properties of determinants; Calculation of values of determinants upto third order; Adjoint of a
matrix, Elementary row or column operations; Solution of a system of linear
equations having unique solution and involving not more than three variables.
Linear Programming - Formulation of LPP : Graphical
method of solution : Problems relating to two variables including the case of
mixed constraints; Cases having no solution, multiple solutions, unbounded
solution and redundant constraints.
Simplex Methods : Solution of problems up to three variables including
cases of mixed constraints; Duality; Transportation Problem.
Compound Interest and Annuities :
Certain different types of Interest rates: Concept of present value and amount
of a sum : Types of annuities; Present value and annuities amount of an annuity
including the case of continuous compounding; Valuation of simple loans and
debentures; Problems relating to sinking funds.
Economics
1.
Microeconomic Theory : Indifference Curve analysis; Marshallian
and Hicksian approaches to consumer surplus; Laws of
returns and returns to scale; Short-run and Long-run cost curves; Equilibrium
of competitive firm and industry; Monopoly; Discriminating monopoly;
Monopolistic Competition; Oligopoly, Theories of rent, wage, interest and
profit, Classicial and Paretian
approaches to welfare.
2.
Money, Banking and International Trade : Components of money supply ; Quantity theories of
Money ; Expenditure - Income Approach ; Causes, effects and control of
inflation and deflation, Credit creation by commercial banks; Functions of
central bank; Credit control instruments; Classical theory of comparative cost
advantage; Heckscher - Ohlin
theory, Terms of trade, Disequilibrium in balance of payments; Theories of
exchange rate determination.
3.
National Income and Macroeconomic Theory : National product and National income; Income at
current and constant prices; Methods of measurement of national income;
Circular Flow Models; National income and welfare; Classical theory of
employment, keynes' attack on classical
macroeconomics, Principle of effective demand; Consumption function; Multiplier
theory; Investment Function; MEI and investment.
4.
Indian Economics : Problems of population growth in
5.
Public Finance : Public and Private goods; Growth of public expenditure; Effects of
public expenditure; Principles of Taxation; Direct and indirect taxes; Shifting
and incidence of commodity taxes and income tax; Burden of Public debt; Methods
of debt redemption; Budget.
6.
Development Economics : Development and economic growth; Obstacles to
development; Measurement of economic development; Classical, Marxian,
Schumpeterian and Harrod - Domar
models of economic growth; Balanced and unbalanced growth; Development Planning
- need for and rationale of planning, types of planning, planning and freedom,
sustainable development.
7.
Statistics :
Measures of central tendency - Mean, Median and Mode; Measures of dispersion -
Range Quartile deviation, Mean deviation, standard deviation, coefficient of
variation; correlation; Regression, Index Number, Time series.
Education
1.
Concept of Education : Meaning, Nature and Scope of Education. Aims of
Education, Education and Training, Content and Process of Education, Functions
of Education, Relationship between Philosophy and Education. Idealism,
Naturalism and Pragmatism and their relevance to the present educational system
of
2.
Education
for National, Emotional and Social Integration. Education for Democracy,
Education for Socialism, Education for Secularism. Education for human rights.
3.
Curriculum : Principles of curriculum construction, Types of
curriculum - subject centred, Child-centred and core curriculum.
4.
Concept of Learning : Definition, Theories, Cognitive approaches to learning,
Views of Piaget and Bruner.
Motivation : Meaning,
Nature and Techniques.
Transfer of Learning
: Its meaning, nature and
types of transfer. Theories and principles of transfer of
learning.
5.
Concept of Intelligence, Measurement of intelligence.
Types of Intelligence tests.
Creativity
: Meaning and nature,
characteristics of a creative person, Principles for encouraging creativity.
Personality : Concept, Types and Traits Theories of Personality.
6.
Education in British India : Macaulay's Minute, Wood's Despatch,
Report of Hunter Commission, Movement of Compulsory Education, Gokhale's Bill, University Education Commission, 1902,
Calcutta University Education Commission, 1917, Hartog
Committee Report - 1929.
7.
National Policy on Education, 1986 and its Revised Policy Formulations 1992.
Challenging issues in Indian Education : Population
and development Education, Family Life Education, Sex Education, Vocationalisation of Education, Environmental Education,
Education of Minority Communities. Educational Technology - Mass Media,
Micro-teaching and Programmed Learning.
8.
Educational Statistics and Evaluation
: Measurement and evaluation,
Types of evaluation procedures : Placement, Formative, Diagnostic and
Summative. Characteristics of a good test : Validity,
Reliability, Objectivity, Usability, Norms. Concept of Standard Scores - T
Score and Z Score. Normal Probability Curve and its
use in interpretation of test scores.
Measures of central tendency, Variability. Percentiles and percentile Rank. Concept
of correlation.
9.
Continuous
Comprehensive Evaluation, Evaluation in non-congintive
areas - Various techniques and approaches to evaluation Limitations.
10. Guidance : Meaning,
Nature, Scope, Types, Educational, Vocational, Personal, Guidance Services.
English
1.
History of English Literature
(i) The Elizabethan Age, (ii) The Restoration
Age, (iii) The Neo-classical Age, (iv) The Age of Romantic
Revival, (v) The Victorian Age, (vi) The Modern Age.
2.
Shakespearean Tragedy & Comedy
(General questions without specific reference to any play).
3.
The Growth of the Novel
(From the
18th Century to 1930 with special reference to the Picaresque Novel, the Gothic
Novel, the Historical Novel, the Realistic Novel and the Psychological Novel).
4.
Forms of Literature
(i) Lyric ; sonnet ; ballad; ode; elegy; epic , (ii)
tragedy; comedy, (iii) Short story; Biography.
5.
Critical Theory
(i) Wordsworth &
Coleridge, (ii) Matthew Arnold, (iii) T. S. Eliot.
6.
Critical Terms
Classicism,
Romanticism, Hamartia, Catharsis, Metaphor, Irony,
Image, Paradox, Symbol, Negative Capability, Dissociation of Sensibility,
Stream of Consciousness, Expressionism, Impressionism, Naturalism.
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