ESE

• Matrix theory, Eigen values & Eigen vectors, system of linear equations, Numerical methods for solution of non-linear algebraic equations and differential equations, integral calculus, partial derivatives, maxima and minima, Line, Surface and Volume Integrals.
• Fourier series, linear, non-linear and partial differential equations, initial and boundary value problems, complex variables, Taylor’s and Laurent’s series, residue theorem, probability and statistics fundamentals, Sampling theorem, random variables, Normal and Poisson distributions, correlation and regression analysis.

• Electrical Engineering Materials, crystal structures and defects, ceramic materials, insulating materials, magnetic materials – basics, properties and applications; ferrities, ferro-magnetic materials and components; basics of solid state physics, conductors; Photo-conductivity; Basics of Nano materials and Superconductors.

• Circuit elements, network graph, KCL, KVL, Node and Mesh analysis, ideal current and voltage sources, Thevenin’s,
  Norton’s, Superposition and Maximum Power Transfer theorems, transient response of DC and AC networks, Sinusoidal
  steady state analysis, basic filter concepts, two-port networks, three phase circuits, Magnetically coupled circuits, Gauss
  Theorem, electric field and potential due to point, line, plane and spherical charge distributions, Ampere’s and Biot-Savart’s laws; inductance, dielectrics, capacitance; Maxwell’s equations.

• Principles of measurement, accuracy, precision and standards; Bridges and potentiometers; moving coil, moving iron, dynamometer and induction type instruments, measurement of voltage, current, power, energy and power factor, instrument transformers, digital voltmeters and multi-meters, phase, time and frequency measurement, Q-meters, oscilloscopes, potentiometric recorders, error analysis, Basics of sensors, Transducers, basics of data acquisition systems

• Analysis of System of Forces, Friction, Centroid and Centre of Gravity, Dynamics; Stresses and Strains-Compound Stresses and Strains, Bending Moment and Shear Force Diagrams, Theory of Bending Stresses- Slope and deflection-Torsion, Thin and thick Cylinders, Spheres.

• Basic Crystallography, Alloys and Phase diagrams, Heat Treatment, Ferrous and Non-Ferrous Metals, Non-metallic materials, Basics of Nano-materials, Mechanical Properties and Testing, Corrosion prevention and control

• Types of Kinematics Pair, Mobility, Inversions, Kinematic Analysis, Velocity and Acceleration Analysis of Planar Mechanisms, CAMs with uniform acceleration and retardation, cycloidal motion, oscillating followers;
• Vibrations –Free and forced vibration of undamped and damped SDOF systems, Transmissibility Ratio, Vibration Isolation, Critical Speed of Shafts.
• Gears – Geometry of tooth profiles, Law of gearing, Involute profile, Interference, Helical, Spiral and Worm Gears, Gear Trains- Simple, compound and Epicyclic;
• Dynamic Analysis – Slider – crank mechanisms, turning moment computations, balancing of Revolving & Reciprocating masses, Gyroscopes –Effect of Gyroscopic couple on automobiles, ships and aircrafts, Governors.

• Design for static and dynamic loading;
• failure theories;
• fatigue strength and the S-N diagram;
• Principles of the design of machine elements such as riveted, welded and bolted joints.
• Shafts, Spur gears, rolling and sliding contact bearings, Brakes and clutches, flywheels.

• Metal casting-Metal forming, Metal Joining, Machining and machine tool operations, Limits, fits and tolerances, Metrology and inspection, computer Integrated manufacturing, FMS, Production planning and Control, Inventory control and operations research - CPM-PERT.
• Failure concepts and characteristics-Reliability, Failure analysis, Machine Vibration, Data acquisition, Fault Detection, Vibration Monitoring, Field Balancing of Rotors, Noise Monitoring, Wear and Debris Analysis, Signature Analysis, NDT Techniques in Condition Monitoring.

• Microprocessors and Microcontrollers:  Architecture, programming, I/O, Computer interfacing, Programmable logic controller.
• Sensors and actuators, Piezoelectric accelerometer, Hall effect sensor, Optical Encoder, Resolver, Inductosyn, Pneumatic and Hydraulic actuators, stepper motor, Control Systems- Mathematical modeling of Physical systems, control signals, controllability and observability.
• Robotics, Robot Classification, Robot Specification, notation; Direct and Inverse Kinematics;
• Homogeneous Coordinates and Arm Equation of four Axis SCARA Robot.

Fluid Mechanics

• Basic Concepts and Properties of Fluids, Manometry, Fluid Statics, Buoyancy, Equations of Motion, Bernoulli’s equation and applications, Viscous flow of incompressible fluids, Laminar and Turbulent flows, Flow through pipes and head losses in pipes.

• Thermodynamic systems and processes; properties of pure substance; Zeroth, First and Second Laws of Thermodynamics;
• Entropy, Irreversibility and availability; analysis of thermodynamic cycles related to energy conversion: Rankine, Otto, Diesel and Dual Cycles; ideal and real gases; compressibility factor; Gas mixtures.
• Modes of heat transfer, Steady and unsteady heat conduction, Thermal resistance, Fins, Free and forced convection,
  Correlations for convective heat transfer, Radiative heat transfer – Radiation heat transfer co-efficient; boiling and
  condensation, Heat exchanger performance analysis.

• SI and CI Engines, Engine Systems and Components, Performance characteristics and testing of IC Engines; Fuels; Emissions and Emission Control.
• Vapour compression refrigeration, Refrigerants and Working cycles, Compressors, Condensers, Evaporators and Expansion devices, Other types of refrigeration systems like Vapour Absorption, Vapour jet, thermo electric and Vortex tube refrigeration.
• Psychometric properties and processes, Comfort chart, Comfort and industrial air conditioning, Load calculations and Heat pumps.

• Reciprocating and Rotary pumps, Pelton wheel, Kaplan and Francis Turbines, velocity diagrams, Impulse and Reaction principles, Steam and Gas Turbines, Theory of Jet Propulsion – Pulse jet and Ram Jet Engines,
• Reciprocating and Rotary Compressors – Theory and Applications

• Rankine and Brayton cycles with regeneration and reheat, Fuels and their properties, Flue gas analysis, Boilers, steam turbines and other power plant components like condensers, air ejectors, electrostatic precipitators and cooling towers – their theory and design, types and applications;

• Solar Radiation, Solar Thermal Energy collection - Flat Plate and focusing collectors their materials and performance.
• Solar Thermal Energy Storage, Applications – heating, cooling and Power Generation;
• Solar Photovoltaic Conversion;
• Harnessing of Wind Energy, Bio-mass and Tidal Energy – Methods and Applications, Working principles of Fuel Cells.

(a) Fluid Mechanics, Open Channel Flow, Pipe Flow:

• Fluid properties; Dimensional Analysis and Modeling;
• Fluid dynamics including flow kinematics and measurements; Flow net;
• Viscosity, Boundary layer and control, Drag, Lift, Principles in open channel flow, Flow controls. Hydraulic jump;
• Surges;
• Pipe networks.

(b) Hydraulic Machines and Hydropower -

• Various pumps, Air vessels, Hydraulic turbines – types, classifications & performance parameters;
• Powerhouse – classification and layout, storage, pondage, control of supply.

• Hydrological cycle, Ground water hydrology, Well hydrology and related data analysis;
• Streams and their gauging;
• River morphology;
• Flood, drought and their management; Capacity of Reservoirs. 
• Water Resources Engineering: Multipurpose uses of Water, River basins and their potential; Irrigation systems, water
  demand assessment; Resources - storages and their yields;
• Water logging, canal and drainage design, Gravity dams, falls, weirs, Energy dissipaters, barrage Distribution works, Cross drainage works and head works and their design;
• Concepts in canal design, construction & maintenance;
• River training, measurement and analysis of rainfall.

(a) Water Supply Engineering:

• Sources, Estimation, quality standards and testing of water and their treatment;
• Rural, Institutional and industrial water supply;
• Physical, chemical and biological characteristics and sources of water, Pollutants in water and its effects, Estimation of water demand;
• Drinking water Standards, Water Treatment Plants, and Water distribution networks.

(b) Waste Water Engineering:

• Planning & design of domestic waste water, sewage collection and disposal; Plumbing Systems. Components and layout
  of sewerage system;
• Planning & design of Domestic Waste-water disposal system;
• Sludge management including treatment, disposal and re-use of treated effluents; Industrial waste waters and Effluent Treatment Plants including institutional and industrial sewage management.

(c) Solid Waste Management:

• Sources & classification of solid wastes along with planning & design of its management system;
• Disposal system,
• Beneficial aspects of wastes and Utilization by Civil Engineers.

(d) Air, Noise pollution and Ecology:

• Concepts & general methodology.

(a) Geo-technical Engineering:

Soil exploration - planning & methods, Properties of soil, classification, various tests and inter- relationships; Permeability & Seepage, Compressibility, consolidation and Shearing resistance, Earth pressure theories and stress distribution in soil; Properties and uses of geo-synthetics.

(b) Foundation Engineering:

Types of foundations & selection criteria, bearing capacity, settlement analysis, design and testing of shallow & deep foundations; Slope stability analysis, Earthen embankments, Dams and Earth retaining structures: types, analysis and design, Principles of ground modifications

(a) Surveying:

Classification of surveys, various methodologies, instruments & analysis of measurement of distances, elevation and directions; Field astronomy, Global Positioning System; Map preparation; Photogrammetry; Remote sensing concepts; Survey Layout for culverts, canals, bridges, road/railway alignment and buildings, Setting out of Curves.

(b) Geology:

Basic knowledge of Engineering geology & its application in projects

• Highways - Planning & construction methodology, Alignment and geometric design; Traffic Surveys and Controls;
• Principles of Flexible and Rigid pavements design.
• Tunneling - Alignment, methods of construction, disposal of muck, drainage, lighting and ventilation.
• Railways Systems – Terminology, Planning, designs and maintenance practices; track modernization.
• Harbours – Terminology, layouts and planning.
• Airports – Layout, planning & design.

• Stone, Lime, Glass, Plastics, Steel, FRP, Ceramics, Aluminum, Fly Ash, Basic Admixtures, Timber, Bricks and Aggregates:
• Classification, properties and selection criteria;
• Cement: Types, Composition, Properties, Uses, Specifications and various Tests; Lime & Cement Mortars and Concrete:
• Properties and various Tests; Design of Concrete Mixes: Proportioning of aggregates and methods of mix design.

• Elastic constants, Stress, plane stress, Strains, plane strain, Mohr’s circle of stress and strain, Elastic theories of failure, Principal Stresses, Bending, Shear and Torsion.

• Basics of the strength of materials, Types of stresses and strains, Bending moments and shear force, the concept of bending and shear stresses;
• Analysis of determinate and indeterminate structures;
• Trusses, beams, plane frames;
• Rolling loads, Influence Lines, Unit load method & other methods;
• Free and Forced vibrations of single-degree and multi-degree freedom systems;
• Suspended Cables; Concepts and Use of Computer-Aided Design

• Limit state design for bending, shear, axial compression and combined forces; Design of beams, Slabs, Lintels,
  Foundations, Retaining walls, Tanks, Staircases;
• Principles of pre-stressed concrete design including materials and
  methods;
• Earthquake-resistant design of structures;
• Design of Masonry Structure.

• Construction - Planning, Equipment, Site investigation and Management including Estimation with the latest project
  management tools and network analysis for different Types of works;
• Analysis of Rates of various types of works;
• Tendering Process and Contract Management, Quality Control, Productivity, Operation Cost;
• Land acquisition;
• Labour safety and welfare

Current issues of national and international importance relating to social, economic and industrial development

Basics of Energy and Environment: Conservation, environmental pollution and degradation, Climate Change, Environmental impact assessment

Engineering Aptitude covering Logical reasoning and Analytical ability

Basics of Project Management

Engineering Mathematics and Numerical Analysis

Basics of Material Science and Engineering

General Principles of Design, Drawing, Importance of Safety

Information and Communication Technologies (ICT) based tools and their applications in Engineering such as networking, e-governance and technology-based education.

Standards and Quality practices in production, construction, maintenance and services

Ethics and values in the engineering profession.