MECHANICAL ENGINEERING

Statics- Simple applications of equilibrium equations.

Dynamics- Simple applications of equations if motion , work energy and power.

Theory of Machines- Simple examples of kinematics chains and their inversions.Different types of gears, berings, governors , flywheels and their functions.Static and dynamic balancing of rigid rotors . Simple vibration analysis of bars and shaffs. Linear automatic control systems.

Mechanics of solids- Stress , strain and Hooks Law. Shear and bending moments in beams .Simple bending and torsion of beams ,Springs and thin walled cyliders. Elementary concepts of elastic stability mechanical properties and material testing.

Maunfacturing Science- Mechanics of metal cutting , tool life , economics of machining. cutting tool matericals. Basic types of machine tool and their processes . Automatic machine tools transfer lines . Metal forming processes and machines -shearing, drawing, spinning, rolling , forging, extrusion. Types of casting and welding methods .Powder metallurgy and processing of plastics.

Manufacturing Management- Methods and time study , motion economy and work space design, operation and flow process charts, Cost estimation , break even analysis .Location and layout of plants, material handling . Capital budgeting, job shop and mass production, scheduling dispatching . Routing ,Inventory.

Thermodynamics- Basic concepts , definitions and laws , heat work and temperature , Zeroth law , temperature scales, behavior of pure substances, equations of state, first law and its corollaries second law and its corollaries .Analysis of air standard power cycle ssss, Carnot , Otto , diesel, Brayton cycles. Vapour power cycles , Rankine reheat and regenerative cycles. Refrigeration cycles- Bell Coleman , Vapour absorption and Vapour compression cycle analysis , open and closed cycle gas turbin with intercooling reheating.

Energy Conversion- Flow of steam throught nozzles , critical pressure ratio , shock formation and its effect . Steam Generators , mountings and accessories . Impulse and reaction turbines elements and lauout of thermal power plants .Hydraulic turbines and pumps specific speed, layout of hydraulic power plants.Introduction to nuclear reactors and power plants , handing of nuclear waste.

Refrigeration and Air Conditioning- Refrigeration equipment and operation and maintenance , refrigerants, principles of air conditioning , psychometric chart comfort zones humidification and dehumidification.

Fluid Mechanics- Hydrostatics , continuity equation ,Bernoulli's theprem, flow through pipes , discharge discharge measurement , laminar and turbulent flow , boundary layer concept.

MATHEMATICS

1. Albebra- Elements of set Theory ; Algebra of Real and Complex numbers including Demovire's theorem; Polinomials and polinomial equations; Relation between Coefficients and Roots, symmetric functions of roots; Elements of Group Theory ; Sub , 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 . Subspaces. Basis and Dimension, Finite Dimensional Vector Spaces. Linear Transformation of a Finite Dimensional Vector Space, Matrex Representation . Singular and Nonsingular Transformations , Rank and Nullity.
Matrices: Addition , Multiplication . Determinants of a Matrix, Properties of Determinants of order , Inverse of a Matrix . Cramer's rule
3. Geometry and Vectors- Analuytic geometry of straight lines and conics in cartesian and polar coordinates; three dimensional geometory for planes, straight lines, sphere, cone and cylinder. Addition, Subtraction and Products of Vectors and Simple applications to Geometry.
4. Calculus- Function ,Sequences , Series, Limits, Continuity, Derivatives.
Application of Derivatives- Rates of change , Tangents ,Normals , Mixima, Minima, Rolle's Theorem, Mean Value Theorems of Language and Cauchy, Asymptotes, Curvature. Methods of finding indefinite integrals , Definirte Integrals Fundamental Theorem of integrals Calculus. 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 particles - Lamina; Rigid Body : Displacement; fokrce; Mass; weight; Motion; Velocity; Speed; Acceleration; Parallelogram of force; Parallelogram of velocity , acceleration; resultant; equilibrium of coplanar force; Moments ; Couples ; Friction; Centre of mass, Gravity ; Laws of motion; Motion of particle in a straight line; simple Harmonic Motion; Motion; under covservative forces; Motion under gravity; Projectile; Escape velocity; Motion of aritificial satellites.
7. Elements of Computer Programming- Binary system, Octal and Hexadecimal systems. Conversion to and from Decimal systems. Codes, Bits, Bytes and Works. Memory of a computer. Arithmetic and Logical operators. Algorithms and Flow Charts.

LAW

(i) Jurisprudence:
1. Nature and concept of law.
2. Schools of Jurisprudence : Analytical , historical, philosophical, sociological and natural.
3. Administration of Justice: Theories of Punishment.
4. Sources of Low: Custom, Precedent and Legislation.
5. A few basic Legal concept: (i) Rights and Duties; (ii) Legal Persinality; (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 power of President and Governore .
5. Supreme Court and High Courts: Jurdiction , power , appointment and transfer of judges.
6. Union public Service Commission and state public Service commisssion : Their Power and function;
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 recognized by civilized nations and subsidiary means of determaination of law.
3. State Recignition and State Succession.
4. The United Nations : it objectives, purpose and principal organs; the Constitution , role and jurisdiction of the International Court of justice.
5. Protection of Human Right : (i) Provision in the UN Charter; (ii) Universal Declaration of Human Right , 1948; (iii)International Covenant of civil and Political Rights, 1966;(iv) International Covenant 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 rens.
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 Branch 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. Perfrmance of contracts.
8. Dissolution of contractual obligations , frustration of contracts.
9. Quasi- contracts.
10. Remedies for branch of contract.

INDIAN HISTORY

SECTION-A
1. Prehistoric cultures in India.
2. Indus Civilization . Origins.The Mature Phase: extent ,society, economy and culture. Contacts with other cultures .Problems of declie.
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 Regvedic to later Vedic phases .Religion; Upanishadic thought . Political and social organisations ; evolutuion 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 Emipire . 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. Regligion: Saivism, Bhagavatism, Hinayana and Mahayana Buddhism; jainism; Culture and art.
8. The Guptas and Their Sussessors {to c. 750 Ad}. Chola Empire. Agrarian of organisation of empire. Economy and society. Lierature and Science Arts.
SECTION-B
9.Early Medieval Indua. Major dynasties; the Chola Empire. Agrarian and Political strcturea. The Rajaputras. Extentof social mobility. Postition of woman. The Arabs in Sind and the Ghaznavides.
10.Cultural trends, 750-1200, Religious conditiond: importance of temples and monastic instutions: Sankaracharya: Islam: Sufism. Literature and Science. Alberuni's 'India' . Art and architecture.
11-12. Thirteenth and fourteenth Centuries: Ghorian invasions causes and consequences. Delhi Sultanate under the 'Slave' Rulers. Alauddin Khalji: Conquests; administraative, agrarian and economic measures. Muhammad Tughluq's 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 fifteeth and early 16th Century : major Provincial dynasties; Vijauyanagara Empire.The Lodis , First phase of the Mughal Empire : Babur , Humayun.The Sur empire and administration . The Portuguese.
Montheistic movements: Kabir; Guru Nanak and Sikhism; Bhakti .Growth of regional literatures. Art and Culture.
14-15. The Mughal Empire, 1556-1707 . Akbar : conquests , admini strative measures, jagir and mansab systems ; polic of sulh-i-kul. Jahangir, Shahjahan and Aurangzeb: expansion in the Deccan : religious policies Shivaji Culture : Persian and regional literatures. Religious thought :Abul Fazl; 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.
SECTION-C
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 pitt's India Acts.
18. Economic Impact of the British Raj: Drain of Wealth (Tribute); land revenue settlements (zamindari, ryotwari, mahalwari); Deindustrialisation ; Railways and commercialisation of agriculture; Growth of landless labour.
19. Cultural encounter and social change : 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 measures befour 1857.
20.Resistance to British rule: Early uprisings; The 1857 Revolt-causes, nature, course and consequences.
21. Indian Freedom struggle- the phase: Growth of national consciousness; Formation of Association ; 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 mas 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 devolopments; Partition and Independence.
24. India independent to 1964. A parliamentary , secular , dmocratic republic the 1950 Constitution ).Jawaharlal Nehru's vision of a devoloped , socialist society . Planning and state - controlled industrialization . Agrarian reforms. Foreign polic of Non-alignment. Border conflict with China , and Chinese aggression.