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Entrance Exam : Ph.D & M.Phil Entrance Examination

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Detailed Syllabus of Ph.D. & M.Phil. Entrance Examination
1. Computer Science
2. Mechanical Engineering
3. Electrical Engineering
4. Civil Engineering
5. Environmental
6. Electronics
7. Management
8. Commerce
9. Physics
10. Chemistry
11. Mathematics
12. Bio & Life Sciences
13. Education
14. Law
15. English
16. Sanskrit
17. Visual Arts
18. Library Science
19. Hindi
20. Psychology
21. Public Administration
22. Geography
23. History
24. Political Science

1. Computer Science :
Discrete Structures :
Sets, Relations, Functions. Pigeonhole Principle, inclusion-Exclusion Principle, Equivalence and Partial Orderings, Elementary counting techniques, Probability Measures for information and Mutual information.

Computability: Model of computation-Finite Automata, Pushdown Automata, Nondeterminism and NFA, DPDA and PDAs and language accepted by these structures, Grammar, Languages, non-compatibility and Example of non-Computable problems. Graph: Definition, walks, paths, trails, connected graphs, regular and bipartite graphs, cycles and circuits. Tree and rooted tree. Spanning trees. Eccentricity of a vertex radius and diameter of a graph, Central Graphs, Center(s) of a tree Hamiltonian and Eulerian Computer Arithmetic

Prepositional (Boolean) Logic, Predicate Logic, Well-formed formulae (WFF) Satisfiability and tautology.

Logic Families: TTL, ECL and C-MOS gates. Boolean algebra and minimization of Boolean functions. Flip-flops-types, race condition and comparison. Design of combinational and sequential circuits.

Representation of Integers: Octal, Hex. Decimal and Binary. 2’s complement and 1’s complement arithmetic. Floating-point representation.

Programming in C and C++ :
Programming in C: Elements of C- Tokens, identifiers, data types in C. Control structures in C. Sequence, selection and iteration(s). Structured data types, arrays, structure, union, string, and pointers.

OO Programming Concepts: Class, Object, Instantiation, Inheritance, Polymorphism and Overloading.

Relational Database Design and SQL :
E-R Diagrams and their transformation to relational design, Normalization-NF, 2NF, 3NF, BCNF and 4NF. Limitations of 4NF and BCNE.

SQL: Data Definition Language (DLL). Data Manipulation Language (DML), Data Control Language (DCL) commands. Database object like-Views, indexes, sequences, synonyms, data dictionary.

Computer Networks :
Networks Fundamentals: Local Area Networks (LAN),Metropolitan Area Network (MAN), Wide Area Networks (WAN), Wireless Networks, Inter Networks. Reference Models: The OSI model, TCP/IP model.

Data Communication: Channel capacity, Transmission media-twisted pair, coaxial cables, fiber -optic cables, wireless transmission-radio, microwave, infrared and millimeter waves, Light wave transmission. Telephones-Local loop, trunks, multiplexing, switching, narrowband ISDN, broadband ISDN, ATM, High speed LANS. Cellular Radio. Communication satellites, Geosynchronous and low-orbit.

The Unix System: File system, process management, bourne shell, shell variables, command line programming.
Filters and Commands: Pr, head, tail, cut, paste, sort, uniq, tr, join, etc, grep, egrep, fgrep, etc., sed, awk, etc.
System Calls (like): Create, open, close, read,write, iseek, link, Unlin,s tat, fstat, umask, chmod, exec, fork, wait, system.

Software Engineering
System Development Life Cycles (SDLC): Steps. Water fall model, Prototypes, Spiral model.
Software Metrics: Software Project Management
Software Design: System design, detailed design, function oriented design, object oriented design, user interface design, design level metrics.
Coding and Testing: Testing level metrics. Software quality and reliability, Clean room approach, software reengineering.

Current Trends and Technologies
The topics of current interest in Computer Science and Computer Applications shall be covered. The experts shall use their judgment from time to time to include the topics of popular interest, which are expected to be known for an application development software professional, currently, they include:

Mechanical Engineering :
1. Thermodynamics
Cycles and IC Engines, Basic concepts, Open and Closed systems. Heat and work. Zeroth, First and Second Law, Application to non-Flow and Flow processes. Entropy, Availability, Irreversibility and Tds relations. Claperyron and real gas equations, Properties of ideal gases and vapours. Standard vapour, Gas power and Refrigeration cycles. Two stage compressor. CI and S.I. Engines. Pre-ignition, Detonation and Diesel-knock, Fuel injection and Carburation, Supercharging.

2. Heat Transfer and Refrigeration and Air-conditioning.
Modes of heat transfer. One dimensional steady and unsteady conduction. Composite slab and Equivalent Resistance. Heat dissipation from extended surfaces, Heat exchangers, Overall heat transfer coefficient, Empirical correlations for heat transfer in laminar and turbulent flows and for free and forced Convection, Thermal boundary layer over a flat plate. Fundamentals of diffusive and connective mass transfer, Black body and basic concepts in Radiation, Enclosure theory, Shape factor, Net work analysis. Heat pump and Refrigeration cycles and systems, Refrigerants. Condensers, Evaporates and Expansion devices, Psychometric, Charts and application to air conditioning, Sensible heating and cooling, Effective temperature, comfort indices, Load calculations, Solar refrigeration, controls, Duct design.

3. Fluid Mechanics:
Properties and classification of fluids, Manometry, forces on immersed surfaces, Center of pressure, Buoyancy, Elements of stability of floating bodies. Kinematics and Dynamics. Irrotational and incompressible. Inviscid flow. Velocity potential, Pressure field and Forces on immersed bodies. Bernoulli’s equation, Fully developed flow through pipes, Pressure drop calculations, Measurement of flow rate and Pressure drop. Elements of boundary layer theory, Integral approach, Laminar and tubulent flows, Separations. Flow over weirs and notches. Open channel flow, Hydraulic jump. Dimensionless numbers, Dimensional analysis, Similitude and modelling. One-dimensional isentropic flow, Normal shock wave, Flow through convergent – divergent ducts, Oblique shock-wave, Rayleigh and Fanno lines.

4. Fluid Machinery and Steam Generators:
Performance, Operation and control of hydraulic Pump and impulse and reaction Turbines, Specific speed, Classification. Energy transfer, Coupling, Power transmission, Steam generators Fire-tube and water-tube boilers. Flow of steam through Nozzles and Diffusers, Wetness and condensation. Various types of steam and gas Turbines, Velocity diagrams. Partial admission. Reciprocating, Centrifugal and axial flow Compressors, Multistage compression, role of Mach Number, Reheat, Regeneration, Efficiency, Governance.

Kinematic and dynamic analysis of planer mechanisms. Cams. Gears and gear trains. Flywheels. Governors. Balancing of rigid rotors and field balancing. Balancing of single and multicylinder engines, Linear vibration analysis of mechanical systems. Critical speeds and whirling of shafts Automatic controls.

Design of Joints : cotters, keys, splines, welded joints, threaded fasteners, joints formed by interference fits. Design of friction drives : couplings and clutches, belt and chain drives, power screws.

Design of Power transmission systems : gears and gear drives shaft and axle, wire ropes.
Design of bearings : hydrodynamics bearings and rolling element bearings.

Stress and strain in two dimensions, Principal stresses and strains, Mohr’s construction, linear elastic materials, isotropy and anisotropy, stress-strain relations, uniaxial loading, thermal stresses.

Basic concepts on structure of solids. Crystalline maferials. Detects in crystalline materials. Alloys and binary phase diagrams. Structure and properties of common engineering materials. Heat treatment of steels. Plastics, Ceramics and composite materials. Common applications of various materials.

Metal Forming : Basic Principles of forging, drawing and extrusion; High energy rate forming; Powder metallurgy.
Fabrication Processes : Principles of Gas, Arc, Shielded arc Welding; Advanced Welding Processes, Weldability: Metallurgy of Welding.
Metal Cutting : Turning, Methods of Screw Production, Drilling, Boring, Milling, Gear Manufacturing, Production of flat surfaces, Grinding & Finishing Processes. Computer Controlled Manufacturing Systems-CNC, DNC, FMS, Automation and Robotics.

Production Planning and Control : Forecasting – Moving average, exponential smoothing, Operations, scheduling; assembly line balancing, Product development, Break-even analysis, Capacity planning, PERT and CPM.

Computer Organization, Flow charting, Features of Common computer Languages – FORTRAN, d Base III, Lotus 1-2-3, C and elementary Programming.

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