Part-I: General Economics
1) Micro-economics: (a) Production: Agents of Production; Costs and Supply; Isoquants (b) Consumption and Demand; Elasticity concept (c) Market Structure and concepts of equilibrium; (d) Determination of prices; (e) Components and Theories of Distribution, (f) Elementary concepts of Welfare economics: Pareto-optimality-Private and social products-consumers surplus.

2) Macro-economics: (a) National Income concepts; (b) Determinants of National Income Employment (c) Determinants of consumption, savings and investment, (d) Rate of Interest and its determination (e) Interest and profit.

3) Money, Banking and Public Finance: (a) Concepts of Money and measures of money supply; velocity of money (b) Banks and credit creation; Banks and portfolio management, (c) Central Bank and control over money supply (d) Determination of the price level, (e) Inflation, its causes and remedies, (f) Public Finance-Budgets-Taxes and non-tax revenues-Types of Budget deficits.

4) International Economics:
(1) Theories of International Trade-comparative costs-Heckscher-Ohlin-Gains from Trade-Terms of Trade.
(2) Free Trade and Protection.
(3) Balance of Payments accounts and Adjustment.
(4) Exchange rate under free exchange markets.
(5) Evolution of the International Monetary System and World Trading o, der-Gold Standard-the Brettonwoods system.
IMF and the World Bank and their associates. .
Floating rates - GATT and WTO

(5) Growth and Development: (1) Meaning and measurement of growth; Growth, distribution and Welfare; (2) Characteristics, of underdevelopment; (3) Stages of Development; (4) Sources of growth-capital, Human capital, population, productivity, Trade and aid, non-economic factors; growth Strategies, (5) Planning in a mixed economy - Indicative planning N- Planning and growth.

(6) Economic Statistics: Types of averages-measures of dispersion -correlation - Index numbers; types, uses and limitations.

Part-II: Indian Economics
1. Main features; Geographic size-Endowment of natural resources. Population: size, composition quality and growth trend - Occupational distribution - Effects of British Rule with reference to Drain theory and Laissez Faire policy.

2. Major problems, their dimensions, nature and broad causes; Mass poverty - Unemployment and its types-Economics effects of population pressure - inequality and types thereof - Low productivity and low per capita income, Rural - urban disparities - Foreign -Trade and payments imbalances. Balance of Payments and External Debt - Inflation, and parallel economy and its effects - Fiscal deficit.

3. Growth in income and employment since Independence-Rate, Pattern, Sectoral trends - Distributional Changes - Regional disparities.

4- Economic Planning in India: Major controversies on Planning in India: Alternative strategies - goals and achievements, shortfalls of different plans - planning and the Market.

5. Broad Fiscal, monetary, industrial, trade-and agricultural policies -objectives, rationale, constraints and effects.

Electrical Circuits- Theory and Applications: Circuit components, network graphs, KCL, KVL; circuit analysis methods: nodal analysis, mesh analysis; basic network theorems and applications; transient analysis: RL, RC and RLC circuits; sinusoidal steady state analysis; resonant circuits and applications; coupled circuits and applications; balanced 3-phase circuits. Two port networks, driving point and transfer functions; poles and zeros of network functions.

Signals & Systems: Representation of continuous-time and discrete-time signals & systems; LTI systems; convolution; impulse response; time-domain analysis of LTI systems based on convolution and differential/difference equations. Fourier transform, Laplace transform, Z-transform, Transfer function. Sampling and recovery of signals.

Control systems: Elements of control systems; block-diagram representations; open-loop & closed-loop systems; principles and application of feedback. LTI systems: time domain and transform domain analysis. Stability: Routh Hurwitz criterion, root-loci, Nyquists criterion. Bode-plots, Design of lead-lag compensators; Proportional, PI, P1D controllers.

E.M. Theory: Electrostatic and magneto-static fields; Maxwells equations; e.m. waves and wave equations; wave propagation and antemias; transmission lines; micro-wave resonators, cavities and wave guides.

Electrical Engineering Materials: Electrical/electronic behaviour of materials: Conductivity; free electrons and band-theory; intrinsic and extrinsic semi¬conductor, p-n junction; solar cells, super-conductivity. Dielectric behaviour of materials: polarization phenomena, piezo-electric phenomena. Magnetic materials: behaviour and application.

Analog Electronics: Diode circuits: rectifiers, filters, clipping and clamping, zener diode and voltage regulation. Bipolar and field effect transistors (BJT, JFET and MOSFET): Characteristics, biasing and small signal equivalent circuits. Basic amplifier circuits; differential amplifier circuits. Amplifiers: analysis, frequency response. Principle of feedback; OPAMP circuits; filters; oscillators.

Digital Electronics: Boolean algebra; minimisation of Boolean function; logic gates, digital IC families (DTL, TTL, ECL, MOS, CMOS). Combinational circuits: arithmetic circuits, code converters, multiplexers and decoders.1 Sequential circuits: latches and flip-flops, counters and shift-registers. Comparators, timers, multivibrators. Sample and hold circuits; ADCs and DACs. Semiconductor memories.

Communication Systems: Fourier analysis of signals: ampliHide, phase and power spectrum, auto-correlation and cross-correlation and their Fourier transforms. Analog modulation systems: amplitude and angle modulation and demodulation systems, spectral analysis; superheterodyne receivers. Pulse code modulation (PCM), differential PCM, delta modulation. Digital modulation schemes: amplitude, phase and frequency shift keying schemes (ASK, PSK, FSK). Multiplexing: time-division, frequency-division.

Additive Gaussian noise: characterization using correlation, probability density function, power spectral density, Signal-to-noise ratio calculations for AM and FM. Elements of digital communication systems: source coding, channel coding; digital modulation & demodulation. Elements of Information theory, channel capacity. Elements of satellite and mobile communication; principles of television engineering; radar engineering and radio aids to navigation.

Computers and Microprocessors: Computer organization: number representation and arithmetic, functional organization, machine instructions, addressing modes, ALU, hardwired and microprogrammed control, memory organization. Elements of microprocessors: 8-bit microprocessors - architecture, instruction set, assembly level programming, memory, I/O interfacing, microcontrollers and applications.

Measurement and Instrumentation: Error analysis; measurement of current voltage, power, energy, power-factor, resistance, inductance, capacitance and frequency; bridge measurements. Electronic measuring instruments: multimeter, CRO, digital voltmeter, frequency counter, Q-meter, spectrum analyser, distortion-meter. Transducers: thermocouple, thermistor, LVDT, strainguages, piezo-electric crystal. Use of transducers in measurement of non-electrical quantities. Data-acquisition systems.

Energy Conversion: Single-phase transformer; equivalent circuit, phasor-diagram, tests, regulation and efficiency; three-phase transformer; auto transformer. Principles of energy conversion - d.c. generators and motors: Performers characteristics, starting and speed control armature reaction and commutation; three-phase induction motor; performance characteristics, starting and speed control. Single-phase induction motor. Synchronous generators: performance characteristics, regulation, parallel operation.

Synchronous motors: starting characteristics, applications; synchronous condenser. FHP motors, permanent magnet and stepper motors, brushless d.c. motors, single-phase motors.

Power systems: Electric power generation: thermal, hydro, nuclear. Transmission line parameters: steady-state performance of overhead transmission lines and cables. Distribution systems: insulators, bundle conductors, corona arid radio interference effects; per-unit quantities; bus admittance and impedance matrices; load flow; voltage control and power factor correction. Economic operation. Principles of over current, differential and distance protection; solid state relays, circuit breakers, concept of system stability. HVDC transmission.

Power Electronics and Electric Drives: Semiconductor power devices: diode, transistor, thyristor, triac, GTO and MOSFET, static characteristics, principles of operation; triggering circuits; phase controlled rectifiers; bridge converters-fully controlled and half controlled; principles of thyristor chopper and inverter. Basic concept of speed control of dc and ac motor drives.

Elements of IC Fabrication Technology: Overview of IC Technology. Unit steps used in IC fabrication: water cleaning, photo-lithography, wet and dry etching, oxidation, diffusion, ion-implantation, CVD and LPCVD techniques for deposition of poly-silicon, silicon, silicon-nitride and silicon dioxide; metallisation and passivation.

Section A - Physical Geography
i) Geomorphology: Origin of the earth; Geological Time Scale; Interior of the earth; Types and characteristics of rocks; Folding and Faulting; Volcanoes; Earth-quakes; Weathering; Landforms caused by fluvial, aeolian and glacial actions.

ii) Climatology: Structure and composition of atmosphere; Temperature; Pressure belts and Wind systems; Clouds and rainfall types; Cyclones and anti-cyclones; Major climatic types.

iii) Oceanography: -Ocean relief; Temperature; Salinity; Ocean deposits; Ocean currents, El Nino and La Nino; Waves and tides.

iv) Biogeography: Origin and types of soils; Major biomes of the world; Ecosystem and food chain; Environmental degradation and conservation./

Section B - Human Geography
i) Man and Environment Relationship: Growth and development o( Human Geography; Concepts o( Determinism and Possibilism.

ii) Population: Races of mankind and tribes; growth and distribution of world population; migration; population problems of developed and developing countries.

iii) Economic Activities: Food gathering and hunting; pastoral herding; fishing and forestry; Types of agriculture-shifting, subsistence, commercial and plantation; Mining, Power; Manufacturing - locational factors of textile, iron and steel, sugar and fertilizer industries; Tertiary activities - trade, transport, communication and services.

iv) Settlements: Origin, types and patterns of rural settlements; Processes of urbanisation; morphology and functional classification of towns; million-cities and mega-cities.

Section C - Geography Of The World
i) Major Natural Regions: Characteristics, economic base and human adaptation,
ii) Regional Geography of Developed Countries: Canada, U.S.A., Western Europe, Russia, Japan, Australia and New Zealand.
iii) Regional Geography of Developing Countries: S.E. Asia, S.W. Asia, China, Southern Africa and Brazil,
iv) Regional Geography of South Asia.

Section D - Geography Of India
i) Physical Setting: .Landforms, drainage, climate, soils and natural vegetation,
ii) Economic Base: Minerals and energy resources, aquatic resources, forest resources; irrigation, agriculture and industries; trade and commerce,
iii) Population: Growth, distribution and density; demographic characteristics.
iv) Environmental problems, developmental issues and regional planning.

Section E - Geographical Thought
i) Ancient Period: Contributions of Indians, Greeks, Romans and Arabs.
ii) Pre-Modern Period: Contribution of Verenius, Kant, Humboldt and Ritter.
iii) Modern Period: Dichotomy of determinism and possibilism; contributions of Ratzel, Semple, Huntington and La Blache.
iv) Recent Period: Quantitative Revolution; Radicalism, Behaviouralism and Humanism.

Section F - Techniques Of Geographical Analysis
i) Maps: Scale and types, uses.
ii) Diagrams: Types and uses
iii) Projections: Types, characteristics and uses.
iv) Remote sensing and geographical information system (GIS): Aerial photographs and imagery, GIS.

Part-I
(a) General Geology: Solar System. The Earth: its origin, age and internal constitution. Volcanoes-types, distribution geological effects and products. Earthquakes-intensity, magnitude, distribution, causes and effects. Elementary ideas about isostasy, geosynclines, mountain building, continental drift, sea floor spreading and plate tectonics.

(b) Geomprphology: Basic concepts. External and internal processes. Rock weathering. Cycle of erosion. Fluvial landforms and drainage patterns. Landforms of aeolian, marine, glacial and Karst landscapes. Elements of Remote Sensing.

(c) Structural and field Geology: Primary and secondary structures. Dip and strike of beds. Unconformities. Study of folds, joints, faults, foliation and lineations. Overthrusts and nappe structures. Stages of rock deformation. Construction of block diagrams. Stereographic and equal-area nets. Solutions of simple problems by stereographic net
Topographic maps and their interpretation. Use of clinometer compass in the field Measurements of bed, foliation, folds joints, faults and lineations in the field. Principles of geological mapping. Effects of topography on outcrops. Drawing of sections.

Part-II
(a) Crystallography: Elements of crystal structure. Laws of crystallography, Symmetry elements of normal classes of seven crystal systems. Properties and interaction of light and crystalline matter. Petrological microscope and accessories. Construction and use of Nicole prism. Pleochroism, double refraction, extinction angle, birefringence and twinning in crystals, Isotropic, uniaxial and biaxial minerals.

(b) Mineralogy: Physical, chemical and optical properties of the following Common rock forming minerals: quartz, feldspar, mica, pyroxene, amphibole, olivine, garnet, chlorite, carbonates, aluminosilicates. Structure of silicates and crystal chemistry of minerals. Gemstones.

(c) Economic Geology: Ore, ore mineral and gangue. Classification of ore deposits. Important processes of their formation. Occurrence, origin and distribution in India of the ores of aluminium, chromium, copper, gold, lead, zinc, iron, manganese and radioactive elements. Deposits of minerals use- as abrasives, refractories and in ceramics, deposits of coal and petroleum. Elements of prospecting for mineral deposits.

Part -III
(a) Igneous Petrology: Origin of magma and formation of igneous rocks. Bowens reaction principle. Crystallisation of binary systems.

Classification of igneous rocks. Textures and structures of igneous rocks. Composition, origin and mode of occurrence of granite, syenite, diorite, mafic and ultramafic groups, anorthosites and alkaline rocks.

(b) Sedimentary Petrology: Sedimentary process and products. Classification of sedimentary rocks. Sedimentary structures. Residual deposits - their mode of formation, characteristics and types, Clastic deposits- their classification, mineral composition and texture. Elementary ideas about the origin and characteristics of quartz arenites, arkoses and graywackes. Siliceous and calcareous deposits of chemical and organic origin.

(c) Metamorphic Petrology: Types and factors of metamorphism. Zones, grades and facies of metamorphism. Regional and contact metamorphism. Textures and structures of metamorphic rocks. Metamorphism of argillaceous, arenaceous, calcareous and basic rocks. Metasomatism.

Part-IV
(a) Paleontology: Habits and habitats of animals. Fossils and fossilization. Modes of preservation. Application of fossils, Study of morphology and geological history of Foraminiferida, Brachipoda, Bivalvia, Gastropoda, Cephalopoda, Trilobita, Echinoidea and Anthozoa.

Mammals of Siwalik Group. A brief study of Gondwana flora.

(b) Stratigraphy and Geology of India: Fundamental laws of stratigraphy. Stratigraphic classification lithostratigraphic, biostratigraphic and chronostratigraphic. Geological time scale.

Physiographic divisions and outline of stratigraphy of India. Brief study of Dharwar, Vindhyan and Gondwana Supergroups and Siwalik Group with reference to their major subdivisions, lithology, fossils, areal distribution and economic importance.

1. Prehistoric cultures in India

2. Indus Civilization. Origins. The Mature Phase: extent, society, economy and culture. Contacts with other culture1:. Problems of decline.

3. Geographical distribution and characteristics of pastoral and farming communities outside the Indus region, from the neolithic to early iron phases.

4. Vedic society. The Vedic texts; change from Rigvedic to later Vedic phases. Religion; Upanishadic thought. Political and social organisation; evolution of monarchy and Varna system.

5. State formation and urbanization, from the Mahajanapadas to the Nandas. Jainism and Buddhism. Factors for the spread of Buddhism.

6. The Mauryan Empire. Chandragupta; Megasthenes. Asoka and his inscriptions; his dhamma, administration, culture and art. The Arthasastra.

7. Post-Mauryan India, BC 200- AD 300. Society: Evolution of jatis. The Satavahanas and state formation in Peninsula. Sangam texts and society. Indo-Greeks, Sakas, Parthians, Kushanas;
Kanishka. Contacts with the outside world. Religion: Saivism, Bhagavatism, Hinayana and Mahayana Buddhism; Jainism; Culture and art.

8. The Guptas and their successors (to c. 750 AD). Changes in political organisation of empire. Economy and society. Literature and science. Arts.

9. Early Medieval India. Major dynasties; theChola Empire. Agrarian and political structures. The Rajaputras. Extent of social mobility. Position of women. The Arabs in Sind and the Ghaznavides.

10. Cultural trends, 750-1200, Religious conditions: importance of temples and monastic institutions; Sankaracharya; Islam; Sufism. Literature and Science. Alberunis India. Art and architecture.

11-12. Thirteenth and fourteenth Centuries: Ghorian invasions causes and consequences. Delhi Sultanate under the Slave Rulers. Alauddin Khalji: Conquests; administrative, agrarian and economic measures. Muhammad Tughlugs innovations. Firuz Tughluq and the decline of the Delhi Sultanate. Growth of commerce and urbanization. Mystic movements in Hinduism and Islam. Literature. Architecture, Technological changes.

13. The fifteenth and early 16th Century: major Provincial dynasties; Vijaya-nagara Empire. The Lodis, First phase of the Mughal Empire: Babur, Humayun. The Sur empire and administration. The Portuguese.
Monotheistic movements: Kabir; Guru Nanak and Sikhism; Bhakti. Growth of regional literatures. Art and Culture.

14-15. The Mughal Empire, 1556-1707. Akbar: conquests, administrative measures, jagir and mansab systems; policy of sulh-i-kul. Jahangir, Shahjahan and Aurangzeb: expansion in the Deccan; religious policies. Shivaji.

Culture: Persian and regional literatures. Religious thought: Abul FazI; Maharashtra dharma. Painting. Architecture.

Economy: conditions of peasants and artisans, growth in trade; commerce with Europe. Social stratification and status of women.

16. Decline of Mughal Empire, 1707-61. Causes behind decline. Maratha power under the Peshwas. Regional states. The Afghans. Major elements of composite culture. Sawai Jai Singh, astronomer. Rise of Urdu language.

17. British expansion: The Carnatic Wars, Conquest of Bengal. Mysore and its resistance to British expansion: The three Anglo-Maratha Wars. Early structure of British raj: Regulating and Pitts India Acts.

18. Economic Impact of the British Raj: Drain of Wealth (Tribute); land revenue settlements (zamindari, ryotwari, mahalwari); De-industrialisation; Railways and commercialisation of agriculture; Growth of landless labour.

19. Cultural encounter and social changes: Introduction of western education and modern ideas. Indian Renaissance, social and religious reform movements; growth of Indian middle class; The press and its impact: rise of modern literature in Indian languages. Social reforms measures before 1857.

20. Resistance to British rule: Early uprisings; The 1857 Revolt- causes, nature, course and consequences.

21. Indian Freedom struggle-the first phase: Growth of national consciousness; Formation of Associations; Establishment of the Indian National Congress and its Moderate phase;- Economic Nationalism; Swadeshi Movement; The growth of Extremism and the 1907 split in Congress; The Act of 1909 - the policy of Divide and Rule; Congress-League Pact of 1916.

22. Gandhi and his thought; Gandhian techniques of mass mobilisation-Khilafat and Non Cooperation Movement, Civil Disobedience and Quit India Movement; Other strands in the National Movement-Revolutionaries, the Left, Subhas Chandra Bose and the Indian National Army.

23. Separatist Trends in Indian nationalist politics- the Muslim League and the Hindu Mahasabha; The post -1945 developments; Partition and Independence.

24. India independents 1964. A parliamentary, secular, democratic republic the 1950 Constitution). Jawaharlal Nehrus vision of a developed, socialist society. Planning and state-controlled industrialization. Agrarian reforms. Foreign policy of Non-alignment. Border conflict with China, and Chinese aggression.

I Jurisprudence
1. Nature and concept of law.
2. Schools of Jurisprudence: Analytical, Historical, Philosophical, Sociological & Natural.
3. Administration of Justice: Theories of punishment.
4. Sources of Law: Custom, Precedent and Legislation.
5. A few basic Legal concepts: (j) Rights and Duties, (ii) Legal Personality, (iii) Ownership and Possession.

II Constitutional Law of India
1. Salient features of the Indian Constitution.
2. Preamble.
3. Fundamental.Rights, Directive Principles and Fundamental Duties.
4. Constitutional position and powers of President and Governors.
5. Supreme Court and High Courts: Jurisdiction, powers, appointment and transfer of judges.
6. Union Public Service Commission and State Public Service Commissions: Powers and functions.
7. Distribution of Legislative and Administrative Powers between the Union and the States.
8. Emergency Provisions.
9. Amendment of the Constitution.

III International Law:
1. Nature and definition of International Law.
2. Sources: Treaty, Custom, General Principles of Law recognised by civilised nations and subsidiary means of determination of law.
3. State Recognition and State Succession.
4. The United Nations, its objective, purpose and principal organs; Constitution, role and jurisdiction of International Court of Justice.
5. Protection of Human Rights:
(i) Provisions in the UN Charter, (ii) Universal Declaration of Human Rights, 1948. (iii) International Convenant of Civil and Political Rights, 1966. (iv) International Convenant on Economic, Social and Cultural Rights, 1966.

IV Torts:
1. Nature and Definition of Tort.
2. Liability based on fault and strict liability.
3. Vicarious Liability including State Liability.
4. Joint Tort feasors.
5. Negligence.
6. Defamation.
7. Conspiracy
8. Nuisance.
9. False imprisonment.
10. Malicious Prosecution.

V Criminal Law:
1. General Principles of criminal liability: Mens rea and actus reus.
2. Preparation and criminal attempts
3. General Exceptions.
4. Joint and constructive liability.
5. Abetment
6. Criminal Conspiracy.
7. Sedition.
8. Murder and culpable homicide.
9. Theft, extortion, robbery and dacoity.
10. Misappropriation and Criminal Breach of Trust.

VI Law of Contract:
1. Definition of contract.
2. Basic elements of contract: Offer, acceptance, consideration, contractual capacity.
3. Factors vitiating consent.
4. Void, Voidable, illegal and unenforceable agreements.
5. Wagering agreements.
6. Contingent contracts.
7. Performance of contracts.
8. Dissolution of contractual obligations: frustration of contracts.
9. Quasi-contracts.
10. Remedies for breach of contract.

1. Algebra: Elements of Set Theory; Algebra of Real and Complex numbers including DeMoivress Theorem, Polynomials andPolynomial Equaltions, Relations between Coefficients and Roots, symmetric functions of roots; Elements of Group Theory; Sub-Group, Cyclic groups, Permutation, Groups and their elementary properties. Rings, Integral Domains and Fields and their elementary properties.

2. Vector Spaces and Matrices: Vector Space, Linear Dependence and Independence. Sub-spaces. Basis and Dimensions. Finite Dimensional Vector Spaces. Linear Transformation of a Finite Dimensional Vector Space, Matrix Representation. Singular and Nonsingular Transformations. Rank and Nullity.

Matrices: Addition, Multiplication, Determinants of a Matrix, Properties of Determinants of order in, Inverse of a Matrix, Cramers rule.

3. Geometry and Vectors: Analytic Geometry of straight lines and conies in Cartesian and Polar coordinates; Three Dimensional geometry for planes, straight lines, sphere, cone and cylinder. Addition, Subtraction and Products of Vectors and Simple applications to geometry.

4. Calculus: Functions, Sequences, Series, Limits, Continuity, Derivatives. Application of Derivatives: Rates of change. Tangents, Normals, Maxima, Minima, Rolles Theorem, Mean Value Theorems of Lagrange and Cauchy, Asymptotes, Curvature. Methods of finding indefinite integrals, Definite Integrals, Fundamental Theorem of Integral Calculus. Application of definite integrals to area, Length of a plane curve, Volume and Surfaces of revolution.

5. Ordinary Differential Equations: Order and Degree of a Differential Equation, First order differential Equations, Singular solution, Geometrical interpretation, Second order equations with constant coefficients.

6. Mechanics: Concepts of particle, lamina, rigid body, displacement, force, mass, weight, motion; velocity; speed; acceleration; parallelogram of forces; Parallelogram of velocity, acceleration; resultant; equilibrium of coplanar forces; Moments; Couples; Friction; Centre of mass, Gravity; Laws of motion; Motion of a particle in a straight line; Simple Harmonic Motion; Motion under conservative forces; Motion under gravity; Projectile; Escape velocity; Motion of artificial satellites.

7. Elements of Computer Programming: Binary system, Octal and Hexadecimal systems. Conversion to and from Decimal systems. Codes, Bits, Bytes and Words. Memory of a computer, Arithmetic and Logical operations on numbers. Precision. AND, OR, XOR, NOT and Shit/ Rotate operators, Algorithms and Flow Charts.