Section 1: Engineering Mathematics
Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.
Functions of single variable, Limit, continuity and differentiability, Taylor series, Mean value theorems, Evaluation of definite and
improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional
derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems.
First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Cauchy’s and
Euler’s equations, Initial and boundary value problems, Laplace transforms, Solutions of one dimensional heat and wave equations and Laplace equation.
Complex number, polar form of complex number, triangle inequality.
Probability and Statistics
Definitions of probability and sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random
variables, Poisson, Normal and Binomial distributions, Linear regression analysis.
Numerical solutions of linear and non-linear algebraic equations. Integration by trapezoidal and Simpson’s rule. Single and multi-step
methods for numerical solution of differential equations.
Section 2: Process Calculations and Thermodynamics
Steady and unsteady state mass and energy balances including multiphase, multi-component, reacting and non -reacting systems. Use of tie components;
recycle, bypass and purge calculations; Gibb’s phase rule and degree of freedom analysis.
First and Second laws of thermodynamics. Applications of first law to close and open systems. Second law and Entropy. Thermodynamic properties of pure
substances: Equation of State and residual properties, properties of mixtures: partial molar properties, fugacity, excess properties and activity
coefficients; phase equilibria: predicting VLE of systems; chemical reaction equilibrium.
Section 3: Fluid Mechanics and Mechanical Operations
Fluid statics, Newtonian and non-Newtonian fluids, shell-balances including differential form of Bernoulli equation and energy balance, Macroscopic
friction factors, dimensional analysis and similitude, flow through pipeline systems, flow meters, pumps and compressors, elementary boundary layer
theory, flow past immersed bodies including packed and fluidized beds, Turbulent flow: fluctuating velocity, universal velocity profile and pressure
Particle size and shape, particle size distribution, size reduction and classification of solid particles; free and hindered settling; centrifuge and
cyclones; thickening and classification, filtration, agitation and mixing; conveying of solids.
Steady and unsteady heat conduction, convection and radiation, thermal boundary layer and heat transfer coefficients, boiling, condensation and
evaporation; types of heat exchangers and evaporators and their process calculations. Design of double pipe, shell and tube heat exchangers, and single
and multiple effect evaporators.
Section 5: Mass Transfer
Fick’s laws, molecular diffusion in fluids, mass transfer coefficients, film, penetration and surface renewal theories; momentum, heat and mass
transfer analogies; stage-wise and continuous contacting and stage efficiencies; HTU & NTU concepts; design and operation of equipment for
distillation, absorption, leaching, liquid-liquid extraction, drying, humidification, dehumidification and adsorption.
Section 6: Chemical Reaction Engineering
Theories of reaction rates; kinetics of homogeneous reactions, interpretation of kinetic data, single and multiple reactions in ideal reactors,
non-ideal reactors; residence time distribution, single parameter model; non-isothermal reactors; kinetics of heterogeneous catalytic reactions;
diffusion effects in catalysis.
Section 7: Instrumentation and Process Control
Measurement of process variables; sensors, transducers and their dynamics, process modeling and linearization, transfer functions and dynamic responses
of various systems, systems with inverse response, process reaction curve, controller modes (P, PI, and PID); control valves; analysis of closed loop
systems including stability, frequency response, controller tuning, cascade and feed forward control.
Section 8: Plant Design and Economics
Principles of process economics and cost estimation including depreciation and total annualized cost, cost indices, rate of return, payback period,
discounted cash flow, optimization in process design and sizing of chemical engineering equipments such as compressors, heat exchangers, multistage
Section 9: Chemical Technology
Inorganic chemical industries (sulfuric acid, phosphoric acid, chlor-alkali industry), fertilizers (Ammonia, Urea, SSP and TSP); natural products
industries (Pulp and Paper, Sugar, Oil, and Fats); petroleum refining and petrochemicals; polymerization industries (polyethylene, polypropylene, PVC
and polyester synthetic fibers).
Section 1: Engineering Mathematics
: Matrix algebra; Systems of linear equations; Eigen values and Eigen vectors.
: Functions of single variable; Limit, continuity and differentiability; Mean value theorems, local maxima and minima, Taylor and
Maclaurin series; Evaluation of definite and indefinite integrals, application of definite integral to obtain area and volume; Partial derivatives;
Total derivative; Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and
Ordinary Differential Equation (ODE)
: First order (linear and non-linear) equations; higher order linear equations with constant coefficients; Euler-Cauchy equations;
Laplace transform and its application in solving linear ODEs; initial and boundary value problems.
Partial Differential Equation (PDE)
: Fourier series; separation of variables; solutions of one-dimensional diffusion equation; first and second order one-dimensional wave equation and
two-dimensional Laplace equation.
Probability and Statistics
: Definitions of probability and sampling theorems; Conditional probability; Discrete Random variables: Poisson and Binomial
distributions; Continuous random variables: normal and exponential distributions; Descriptive statistics - Mean, median, mode and standard deviation;
: Accuracy and precision; error analysis. Numerical solutions of linear and non-linear algebraic equations; Least square
approximation, Newton’s and Lagrange polynomials, numerical differentiation, Integration by trapezoidal and Simpson’s rule, single and multi-step
methods for first order differential equations.
Section 2: Structural Engineering
System of forces, free-body diagrams, equilibrium equations; Internal forces in structures; Friction and its applications; Kinematics
of point mass and rigid body; Centre of mass; Euler’s equations of motion; Impulse-momentum; Energy methods; Principles of virtual work.
Bending moment and shear force in statically determinate beams; Simple stress and strain relationships; Theories of failures; Simple
bending theory, flexural and shear stresses, shear centre; Uniform torsion, buckling of column, combined and direct bending stresses.
Statically determinate and indeterminate structures by force/ energy methods; Method of superposition; Analysis of trusses, arches,
beams, cables and frames; Displacement methods: Slope deflection and moment distribution methods; Influence lines; Stiffness and flexibility methods of
Construction Materials and Management:
Construction Materials: Structural steel - composition, material properties and behaviour; Concrete - constituents, mix design,
short-term and long-term properties; Bricks and mortar; Timber; Bitumen. Construction Management: Types of construction projects; Tendering and
construction contracts; Rate analysis and standard specifications; Cost estimation; Project planning and network analysis - PERT and CPM.
Working stress, Limit state and Ultimate load design concepts; Design of beams, slabs, columns; Bond and development length;
Prestressed concrete; Analysis of beam sections at transfer and service loads.
Working stress and Limit state design concepts; Design of tension and compression members, beams and beam- columns, column bases;
Connections - simple and eccentric, beam-column connections, plate girders and trusses; Plastic analysis of beams and frames.
Section 3: Geotechnical Engineering
Origin of soils, soil structure and fabric; Three-phase system and phase relationships, index properties; Unified and Indian standard
soil classification system; Permeability - one dimensional flow, Darcy’s law; Seepage through soils - two-dimensional flow, flow nets, uplift pressure,
piping; Principle of effective stress, capillarity, seepage force and quicksand condition; Compaction in laboratory and field conditions;
One-dimensional consolidation, time rate of consolidation; Mohr’s circle, stress paths, effective and total shear strength parameters, characteristics
of clays and sand.
Sub-surface investigations - scope, drilling bore holes, sampling, plate load test, standard penetration and cone penetration tests;
Earth pressure theories - Rankine and Coulomb; Stability of slopes - finite and infinite slopes, method of slices and Bishop’s method; Stress
distribution in soils - Boussinesq’s and Westergaard’s theories, pressure bulbs; Shallow foundations - Terzaghi’s and Meyerhoff’s bearing capacity
theories, effect of water table; Combined footing and raft foundation; Contact pressure; Settlement analysis in sands and clays; Deep foundations -
types of piles, dynamic and static formulae, load capacity of piles in sands and clays, pile load test, negative skin friction.
Section 4: Water Resources Engineering
Properties of fluids, fluid statics; Continuity, momentum, energy and corresponding equations; Potential flow, applications of
momentum and energy equations; Laminar and turbulent flow; Flow in pipes, pipe networks; Concept of boundary layer and its growth.
Forces on immersed bodies; Flow measurement in channels and pipes; Dimensional analysis and hydraulic similitude; Kinematics of flow,
velocity triangles; Basics of hydraulic machines, specific speed of pumps and turbines; Channel Hydraulics - Energy-depth relationships, specific
energy, critical flow, slope profile, hydraulic jump, uniform flow and gradually varied flow
Hydrologic cycle, precipitation, evaporation, evapo-transpiration, watershed, infiltration, unit hydrographs, hydrograph analysis,
flood estimation and routing, reservoir capacity, reservoir and channel routing, surface run-off models, ground water hydrology - steady state well
hydraulics and aquifers; Application of Darcy’s law.
Duty, delta, estimation of evapo-transpiration; Crop water requirements; Design of lined and unlined canals, head works, gravity dams
and spillways; Design of weirs on permeable foundation; Types of irrigation systems, irrigation methods; Water logging and drainage; Canal regulatory
works, cross-drainage structures, outlets and escapes.
Section 5: Environmental Engineering
Water and Waste Water:
Quality standards, basic unit processes and operations for water treatment. Drinking water standards, water requirements, basic unit
operations and unit processes for surface water treatment, distribution of water. Sewage and sewerage treatment, quantity and characteristics of
wastewater. Primary, secondary and tertiary treatment of wastewater, effluent discharge standards. Domestic wastewater treatment, quantity of
characteristics of domestic wastewater, primary and secondary treatment. Unit operations and unit processes of domestic wastewater, sludge disposal.
Types of pollutants, their sources and impacts, air pollution meteorology, air pollution control, air quality standards and limits.
Municipal Solid Wastes:
Characteristics, generation, collection and transportation of solid wastes, engineered systems for solid waste management (reuse/ recycle,
energy recovery, treatment and disposal).
Impacts of noise, permissible limits of noise pollution, measurement of noise and control of noise pollution.
Section 6: Transportation Engineering
: Highway alignment and engineering surveys; Geometric design of highways - cross-sectional elements, sight distances, horizontal and
vertical alignments; Geometric design of railway track; Airport runway length, taxiway and exit
: Highway materials - desirable properties and quality control tests; Design of bituminous paving mixes; Design factors for flexible and
rigid pavements; Design of flexible pavement using IRC: 37-2012; Design of rigid pavements using IRC: 58-2011;
Distresses in concrete pavements.
: Traffic studies on flow, speed, travel time - delay and O-D study, PCU, peak hour factor, parking study, accident study and analysis,
statistical analysis of traffic data; Microscopic and macroscopic parameters of traffic flow, fundamental relationships; Control devices, signal design by
Webster’s method; Types of intersections and channelization; Highway capacity and level of service of rural highways and urban roads.
Section 7: Geomatics Engineering
Principles of surveying; Errors and their adjustment; Maps - scale, coordinate system; Distance and angle measurement - Levelling and trigonometric
levelling; Traversing and triangulation survey; Total station; Horizontal and vertical curves.
Photogrammetry - scale, flying height; Remote sensing - basics, platform and sensors, visual image interpretation; Basics of Geographical information
system (GIS) and Geographical Positioning system (GPS).
Computer Science and Information Technology
Section1: Engineering Mathematics
Propositional and first order logic. Sets, relations, functions, partial orders and lattices. Groups. Graphs: connectivity, matching,
coloring. Combinatorics: counting, recurrence relations, generating functions.
Matrices, determinants, system of linear equations, eigenvalues and eigenvectors, LU decomposition.
Limits, continuity and differentiability. Maxima and minima. Mean value theorem. Integration.
Random variables. Uniform, normal, exponential, poisson and binomial distributions. Mean, median, mode and standard deviation.
Conditional probability and Bayes theorem.
Computer Science and Information Technology
Section 2: Digital Logic
Boolean algebra. Combinational and sequential circuits. Minimization. Number representations and computer arithmetic (fixed and floating point).
Section 3: Computer Organization and Architecture
Machine instructions and addressing modes. ALU, data‐path and control unit. Instruction pipelining. Memory hierarchy: cache, main memory and secondary
storage; I/O interface (interrupt and DMA mode).
Section 4: Programming and Data Structures
Programming in C. Recursion. Arrays, stacks, queues, linked lists, trees, binary search trees, binary heaps, graphs.
Section 5: Algorithms
Searching, sorting, hashing. Asymptotic worst case time and space complexity. Algorithm design techniques: greedy, dynamic programming and
divide‐and‐conquer. Graph search, minimum spanning trees, shortest paths.
Section 6: Theory of Computation
Regular expressions and finite automata. Context-free grammars and push-down automata. Regular and contex-free languages, pumping lemma. Turing
machines and undecidability.
Section 7: Compiler Design
Lexical analysis, parsing, syntax-directed translation. Runtime environments. Intermediate code generation.
Section 8: Operating System
Processes, threads, inter‐process communication, concurrency and synchronization. Deadlock. CPU scheduling. Memory management and virtual memory. File
Section 9: Databases
ER‐model. Relational model: relational algebra, tuple calculus, SQL. Integrity constraints, normal forms. File organization, indexing (e.g., B and B+
trees). Transactions and concurrency control.
Section 10: Computer Networks
Concept of layering. LAN technologies (Ethernet). Flow and error control techniques, switching. IPv4/IPv6, routers and routing algorithms (distance vector,
link state). TCP/UDP and sockets, congestion control. Application layer protocols (DNS, SMTP, POP, FTP, HTTP). Basics of Wi-Fi. Network security:
authentication, basics of public key and private key cryptography, digital signatures and certificates, firewalls.
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