## MATHEMATICS

Algebra: Quadratic equation, equations reducible to quadratic form, relation between roots and coefficients. Arithmetic progression, Geometric progression, series of natural numbers, partial fractions.
Differential Calculus: Continuity, Differentiation, their geometrical and physical meanings, Differentiation from first principles, Differentiation of sum, product, quotient of functions, function of a function, Differentiation of implicit functions , logarithmic differentiation.
Integral Calculus: Indefinite integrals, method of integration by substitution, by parts and partial fractions, Integration of rational and irrational functions.

## CIVIL ENGINEERING

Structural Engineering: Simple stresses and strains, Elasticity, Hooke's Law, Moduli of Elasticity and Rigidity. Stresses and strains of homogeneous materials and composite sections. Types of beams and supports and loads, concept of bending moment and shear force. Bending moment and shear force diagrams for simple cases. Deflection in beams. Moment area theorem, Bending and shear stresses in circular, rectangular, T and L sections, Comparison of strength of the above sections, Design of singly and doubly Reinforced beams, Design of columns-Types of Columns. Short and long column, load carrying capacity, effective length of column, lateral and helical ties. I.S. Specifications for reinforcement detailing. Design of slabs types of slabs, one-way slab, two way slab, I.S. specifications for Reinforcement detailing method of design as per I.S. code. Design of foundations-isolated footing rectangular footing, square footings, circular footings. Design of tension members in structural steel, gross area, net area, tension splice, design of tension member . Design of compression members, column splice, load carrying capacities. Design of beams in structural steel.
Surveying: Linear measurements with tape, corrections, chain surveying, offsets, perpendicular offset, oblique offset, measurement of offsets, limiting length of offset, Field book, Instructions for booking field notes, Instruments for setting out right angles, Campass surveying , Prismatic compass. Surveyor's compass, comparison between  prismatic and surveyor's compass, meridians & bearings, calculation of included angles from bearings, calculation of bearing from including angles, local attraction, magnetic declination levelling, types of levels. Principles of levelling, Classification of levelling. Rise & Fall method, Height of Instrument method, various corrections in levelling . Theodolite surveying, measurement of angle by theodolite.
Transportation Engineering: Introduction of Transportation Engineering, Traffic Engineering, Road materials, Geometric design, Design of flexible and rigid  pavements, Road maintenance, Railway Engg. Rails, Sleepers, ballast, points and crossing, Track laying and track maintenance, typical sections of tunnel, method of construction of tunnels in  soft rock.
Soil and Construction Engineering: Soil classification. Index properties of soil, Shear strength concept. Foundations-types, construction details, walls, load bearing and non-load bearing walls, brick masonry, bonds in masonry, stone masonry, type of a stone masonry, partition walls, doors. Floors-types of floors, construction procedure, maintenance of buildings, properties of bricks and stones, cement, aggregates, workability of concrete, Batching, mixing, compaction, placing, curing of concrete. Properties of hardened concrete. Introduction to soil mechanics.
Fluid Mechanics, Irrigation and Water Supply Engineering: Specific weight, density, specific gravity, viscosity, vapour pressure, cohesion, adhesion, surface tension, capillarity and compressibility. Pressure, intensity of pressure, pressure head, pascal's Law and its applications. Total pressure, resultant pressure and centre of pressure on rectangular, triangular, trapezoidal, circular and curved surfaces. Atmospheric, gauge and absolute pressure, simple differential manometers. Steady and unsteady flow, laminar and turbulent flow, uniform and nonuniform flow. Discharge and continuity equation, Bernoulli's theorem, statement and description, venturimeter, orifices, time of emptying tanks of uniform cross section by a single orifice. Laminar and turbulent flow explained  through. Reynolds experiments. Reynolds number and critical velocity and velocity  distribution, losses in pipes, hyraulic gradient line, total energy line flow from one reservoir to another through a long pipe of uniform and composite section. Water hammer, uniform and non-uniform flow, discharge through channels using Chezy's formula and Manning's formula. Most economical sections, rectangular, trapezoidal and circular. Measurement of discharge by notches and weirs, measurement of velocity by pitot tube and current meter. Introduction to irrigation Engg. Flow irrigation, head works and river training works, water logging, water supply, sources of water, Water treatment. Types of pipes, lying of pipes.  Quality of sewage, laying of sewers, Building drainage and rural sanitation.

## COMPUTER ENGINEERING

Electronic Devices & Circuits: Different types of diodes, power diodes. Zoner diodes, Switching and tunnel diodes, photo diodes and their applications.
Bipolar Transistors: Basic principles of operation in CB, CE, CC modes, Biasing techniques and their advantages, disadvantages.
Digital Electronics: Logic gates, various logic gates, Boolean algebra, simplification of boolean expressions, universal gates, formation and implementation of logic expression, logic families.
Number Systems:  Binary, Octal, hexadecimal number system, binary arithmetic, implementation of arithmetic circuit of half adder, full adder, subtractors, parallel adder, subtractor circuits.
Displays &Counters: Construction, working, principles of seven segment, alpha numeric displays, decoding and driving circuits for displays, various types of counters and flip-flops.
Semiconductor Memories: Working principles of ROM, PROM, EEPROM, static and dynamic RAMS.
High Level Languages: C- Programming -Various statements, functions, introduction to file handling, Development of simple C language programmes; PASCAL- Basic input/output instructions, control structured selection, multiple control structures, additional data definitions, Restrictions, enumeration and sets, structured data types.
System Software: Assemblers, linkers, loaders and monitor routines software organization Loading and executing control programme for batch processing, time sharing and real time applications. Addressing techniques, paging and memory management, control of input-output processing, buffers and interrupt management. File systems, protections, analysis of small operating system, driver routines/access methods. Job scheduling and processor allocation. Computer string manipulation and list processing concepts. Statements and their identification, Lexical analysis, syntax analysis code optimization and storage allocation.
Operating System: Definition & basic concept of single & multi-user operating system.
Computer Organisation & Programming: Basics of a Computer, instruction set and instruction formats. Internal reorganisation of data, assembly language programming, simple programmes, character manipulations & subroutines.
Computer Architecture: Processor organisation, general structure of CPU registers, stacks, ALU, control unit etc. Basic mathematical operations and ALU design, principles of arrays and pipeline processors. Memory and input/output organisation.

## ELECTRICAL ENGINEERING

Introduction: Comparison of copper and aluminum as electrical conducting material. Development of modern insulating materials. Development of dynamo grade and transformer grade silicon sheet steel materials. Circuit laws and their applications in solving problems. Concept of permeability, reluctance, mmf, coreless. concept of phase difference, phase representation of alternating quantities.
Poly Phase System: Production of rotating magnetic field in electrical machines. Characteristics of D.C. machines. Shunt series and compound types, speed control of D.C. motors. Transformer-single phase, three phase, phasor diagrams, equivalent circuits, testing, regulation, losses, efficiency, parallel operation, maintenance.
Three Phase Induction Motor: Slip, torque & their various relations. Torque-slip characteristics, equivalent circuit, starting, testing, speed control, maintenance.
Single Phase Induction Motor: Torque/Speed characteristics, methods of producing starting torque, capacitor, shaded pole and reluctance motors.
AC Series Motor, Universal Motor: Synchronous machines : Speed/frequency relation, EMF equation, winding coefficients, synchronous impedance concept, phasor diagram, Regulation. Parallel operation, V curves, starting.
Measuring Instruments: Indicating, integrating and recording instruments : deflecting, controlling and damping torques ; moving coil and moving iron instruments, sources of errors extension range Wattmeters, Dynamometer type, maximum demand indicators, Energymeters-single phase and three phase, Megger, Earth tester, Multimeter, power factor meter.
Electronic Instruments: VTVM, CRO, Electronic multimeter, Analog multimeter, digital meters. Measurement of inductance and capacitance and capacitance, power measurements in 3 ph. Circuits.
Transmission System: Selection of voltage, comparison of A.C. and D.C. systems, comparison of 3 ph. & 1ph. Systems. Electrical features of transmission line: Calculation of resistance, inductance and capacitance in a.c. transmission lines. Problems on efficiency and regulation, corona. Distribution system: Layout of H.T. and L.T. distribution system. Comparison  of overhead and underground distribution system. Estimation, Generation. Conventional and Non-conventional sources of energy. Different types of power stations. Comparison, Load estimation – concept, types of power stations, comparison, Load estimation, concept of regional and national grid. Switch gear system:- Circuit breakers, Types, ratings, Comparison, Protection :- Fuses, relays, types & characteristics, comparison. Protection schemes of generators, transformers, bus bars, feeders.

## MECHANICAL ENGINEERING

Manufacturing  Process: Dry sand and green sand casting: Casting defects : Die casting, Continuous casting and Centrifugal casting, Welding Process: Gas welding, Arc welding , Resistance welding; Thermit welding : Soldering and Brazing: Welding defects and precautions, Elements of metal cutting; Cutting tools tool geometry, Cutting fluids; Lathe and Milling operations : Grinding process, grinding wheel: Introduction to Broaching and gear generation processes; Electric discharge machinery. Water Jet machining and ultrasonic machining. Forming processes : Hot and Cold working : Rolling :  Punching, blanking, shearing, spinning.
Thermal Engineering: Basic concept of Thermodynamics: Energy, Thermodynamics systems, types (open and closed) Heat and work, specific heat, Enthalpy, laws of thermodynamics: Zeroth, First and Second laws Reversible and irreversible process, Entropy.
Description of various types of Boilers, boiler mountings and accessories. Basic concepts of thermal conduction, convection and radiation. Basic equations of different cases of Conduction. Convection (natural and forced) and radiation. Concept of Black, white and opaque bodies, Stefan Boltzmans laws.
Mechanics of Solids: Concepts of bending moment and shear force. Bending moment and shear force diagrams for cantilevers, simply supported beams, overhanging beams subjected to concentrated and U.D. Ls. Concepts of torsion. Derivation of torsion equation for circular shafts. Close coiled helical spring subjected to axial load and twisting moment, stiffness of a spring. Its angle of twist, strain energy and proof resilience.
Metrology: Necessity and importance of Metrology in Engineering field, standards of measurements, line and wave length: Limits, fits and tolerances. Concept of interchangeability. Angle and Taper Measurements: Slip gages and dial indicator in taper measurement. Screw Thread Measurements: Measurements of Major diameter. Minor diameter, effective diameter, pitch. Angle and Form of threads for external and internal threads. Comparator: Types of Comparators (Mechanical, optical, electrical, electronic and pneumatic). Limit gauges: Go and No-go gauges. Alignment tests on lathe. drilling machine. Milling machine and grinding machine.
Materials and Metallurgy: Introduction to Engineering materials, ferrous and non-ferrous materials : Pig iron grey and white cast iron, alloying elements in steel and their effect. High speed steel, heat resistant steel and spring steel. Aluminium and its alloys. Bearing metals. Plastic materials, refractory materials, tempering, hardening and surface hardening processes, selection of materials for different components.
Industrial Engineering and Management: Work study, uses of work study : Objectives and basic procedure of Method study and work measurements. Types of inspection, inspection at various stages. Quality control:  its advantages: Statistical quality control. Control charts and sampling plans. Types of production: Materials requirements planning, Plant location and layout, types of layouts and their comparison. Importance and advantages of standardization. Cost reduction through standardization. Management of men, materials and machines. Types of industrial organisations : Wages and incentives, trade unions : Role of technician in industry.

Theory of Machines: Simple mechanisms: Flywheels, Co-efficient of friction, Motion of a body along horizontal and inclined planes. Friction in screw jack, friction between nut and screw square and V-threads. Concept of power transmission, various power transmission systems with their merits and demerits. Flat and V-belts drives, ratio of tensions. Horse power transmitted, centrifugal tension, condition for maximum power transmission, function of governors. Definitions of sensitivity, stability, synchornism and hunting of governors, description and simple problems on watt, porter and Hartnell governor.