Syllabus

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Section 1

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; stress and strain relationships; 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 structural analysis.

Concrete Structures - Working stress, Limit state and Ultimate load design concepts; Design of beams, slabs, columns; Bond and development length; Prestressed concrete. Steel Structures - Design concepts; Design of tension and compression members, beams and beam- columns, column bases; Connections; plate girders and trusses; Plastic analysis of beams and frames.

Structural steel - composition, material properties and behaviour; Concrete - mix design, short-term and long-term properties; Bricks and mortar; Timber; Bitumen. Types of construction projects; Tendering and contracts; Rate analysis and standard specifications; Cost estimation; Project planning and network analysis.

Section 2

Phase relationships, index properties; classification system; Permeability - one dimensional flow; Principle of effective stress, capillarity, seepage force and quicksand condition; Compaction; Onedimensional consolidation; Mohr’s circle, effective and total shear strength parameters. Sub-surface investigations - Earth pressure theories; Stability of slopes; Stress distribution in soils ; Shallow foundations - bearing capacity theories; Combined footing and raft foundation; Contact pressure; Settlement analysis; Deep foundations - types of piles, dynamic and static formulae, load capacity of piles.

Section 3

Fluid statics; Continuity, momentum, energy and corresponding equations; Potential flow, applications of momentum and energy equations; Laminar and turbulent flow; Flow in pipes; Concept of boundary layer. Forces on immersed bodies; Flow measurement in channels and pipes; Dimensional analysis and hydraulic similitude; Kinematics of flow, velocity triangles; Basics of hydraulic machines; Channel Hydraulics. Hydrologic cycle, hydrograph analysis, flood estimation and routing, reservoir capacity. Crop water requirements; Design of canals, head works, gravity dams and spillways; Types of irrigation systems; Canal regulatory works.

Section 4

Water quality standards and requirements, basic unit processes and operations for water treatment, distribution of water. Sewage and sewerage treatment, quantity and characteristics of wastewater. Primary, secondary and tertiary treatment of wastewater, effluent discharge standards. Unit operations and unit processes of domestic wastewater, sludge disposal. Air pollution control, air quality standards and limits. Municipal Solid Wastes management. Noise Pollution: permissible limits, control methods.

Section 5

Highway alignment and engineering surveys; Geometric design of highways, horizontal and vertical alignments; Geometric design of railway track; Airport runway length, taxiway design. Highway materials; Design of bituminous paving mixes; Design of flexible and rigid pavements; Distresses in concrete pavements. Traffic studies on flow, speed, travel time - delay and O-D study, PCU, peak hour factor, Types of intersections and channelization.

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.

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Digital Logic : Boolean algebra.Combinational and sequential circuits.Minimization.Number representations and computer arithmetic (fixed and floating point).
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).

Programming and Data Structures :
Programming in C. Recursion. Arrays, stacks, queues, linked lists, trees, binary search trees.
Algorithms : Searching, sorting. Asymptotic worst case time and space complexity.
Theory of Computation : Regular expressions and finite automata.
Compiler Design: Lexical analysis, parsing.
Operating System : Processes, threads, inter‐process communication, concurrency and synchronization.Deadlock.CPU scheduling.Memory management and virtual memory. File systems.
Databases : ER‐model. Relational model: relational algebra, tuple calculus, SQL. Integrity constraints, normal forms.File organization, indexing (e.g., B and B+ trees).
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,firewalls.

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B.Tech. ECE, EIE, IC, Applied Electronics, Telecommunications or equivalent.

Signals and Systems - Continuous-time signals: Fourier series and Fourier transform representations, sampling theorem and applications; Discrete-time signals: discrete-time Fourier transform (DTFT), DFT, FFT, Z-transform, interpolation of discrete-time signals; LTI systems.
Electronic Circuits - P-N junction, Zener diode, BJT, MOS capacitor, MOSFET, Simple diode circuits: clipping, clamping and rectifiers; Single-stage BJT and MOSFET amplifiers: biasing, bias stability, mid-frequency small signal analysis and frequency response; BJT and MOSFET amplifiers.
Digital Systems - Combinatorial circuits: Boolean algebra, minimization of functions using Boolean identities and Karnaugh map, logic gates and their static CMOS implementations, arithmetic circuits,code converters, multiplexers, decoders and PLAs; Sequential circuits: latches and flip‐flops, counters, shift registers and finite state machines.
Electromagnetics - Plane waves and properties: reflection and refraction, polarization, phase and group velocity, propagation through various media, skin depth; Transmission lines: equations, characteristic impedance, impedance matching, impedance transformation.

In addition to the above

For ECE

Communication Systems - Amplitude modulation and demodulation, angle modulation and demodulation, spectra of AM and FM, superheterodyne receivers, Digital communications: PCM, DPCM, digital modulation schemes, amplitude, phase and frequency shift keying (ASK, PSK, FSK), QAM.

For EIE / IC

Instrumentation - Bridges for measurement of R, L and C, Q-meter. Measurement of voltage, current and power in single and three phase circuits; ac and dc current probes; true rms meters, voltage and current scaling, instrument transformers, timer/counter, time, phase and frequency measurements, digital voltmeter, Sensors and transducers.

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Basic Electronics, Electric circuits, Signals and Systems, Measurements, Analog Electronic Circuits

Digital circuits and microprocessors, Control System, Machines, Power Electronics, Power System

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Engineering Mechanics : Free body diagrams and equilibrium; trusses and frames; virtual work; kinematics and dynamics of particles and of rigid bodies in plane motion.
Strength of Materials : Stress and strain, stress-strain relationship and elastic constants, Mohr's circle for plane stress and plane strain, thin cylinders; shear force and bending moment diagrams; bending and shear stresses; deflection of beams; Euler's theory of columns.
Theory of Machines : Displacement, velocity and acceleration analysis of plane mechanisms. Design: Design for static and dynamic loading; failure theories; fatigue strength and the S-N diagram; principles of the design of machine elements such as bolted, riveted and welded joints.
Fluid Mechanics : Fluid properties; fluid statics, manometry, buoyancy; control-volume analysis of mass, momentum and energy; differential equations of continuity and momentum; Bernoulli's equation.
Thermodynamics : Zeroth, First and Second laws of thermodynamics; thermodynamic system and processes; Carnot cycle. Irreversibility and availability; properties of pure substances.
Applications : Rankine, Brayton cycles with regeneration and reheat. I.C. Engines: air-standard Otto, Diesel cycles. Refrigeration and air-conditioning: Vapour refrigeration cycle.
Heat-Transfer : Modes of heat transfer; one dimensional heat conduction, resistance concept, electrical analogy, fins; dimensionless parameters in free and forced convective heat transfer, various correlations for heat transfer in flow over flat plates and through pipes; radiative heat transfer, black and grey surfaces, shape factors.
Engineering Materials : Structure and properties of engineering materials, heat treatment, stressstrain diagrams for engineering materials.
Metal Casting : riser and gating design.
Forming : Plastic deformation and yield criteria; fundamentals of hot and cold working processes; load estimation for bulk (forging, rolling, extrusion, and drawing) and sheet (shearing, deep drawing, and bending) metal forming processes.
Joining : Physics of welding, brazing and soldering.
Machining and Machine Tool Operations: Mechanics of machining, single and multi-point cutting tools, tool geometry and materials, tool life and wear.
Metrology and Inspection: Limits, fits and tolerances; linear and angular measurements; gauge design; form and finish measurement; alignment and testing methods; tolerance analysis in manufacturing and assembly.
Operations Research : Linear programming, simplex and duplex method, PERT and CPM.

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Matrix Algebra: Rank of a Matrix, Linear dependence. Solutions of Linear Systems: Existence and Uniqueness. Diagonalization of a Matrix, Power of a Matrix, Diagonalization by Orthogonal Transformation, Quadratic Forms.

Vector Analysis: Divergence and curl of a vector point function. Physical interpretation of divergence and curl of a vector point function. Integration of vector functions – Line, surface and volume integrals. Guass, Green and Stoke’s theorems.

Differential Equations: General solution of homogeneous equations, non-homogeneous equations, Wronskian, method of variation of parameters.

Modern Algebra: Definition of Groups, Subgroups and Factor Groups, Lagrange's Theorem, Homomorphisms, Normal Subgroups and Permutation Groups.

Complex Analysis: Analytic functions, CR-equations. Cauchy’s theorem, integral formula, poles and singularities.

Real Analysis: Limit of Functions. Continuous Functions, Continuity and Compactness, Continuity and Connectedness, Derivative of a Real Function. Mean Value Theorem.

Numerical Methods: Bisection method, fixed-point iteration, Newton’s method. Error analysis for Iterative Methods. Computing roots of polynomials. Interpolation: Lagrange Polynomial. Divided Differences.

Statistics and Probability Theory: Probability, conditional probability, independent events, total probability and Baye's theorem. Random Variable, Probability density function, distribution function, mathematical expectation, variance, Discrete Distributions −Binomial, Poisson, Continuous Distribution − Normal distribution.

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Matrices: Determinant, rank, inverse of a matrix, symmetric, skew symmetric and orthogonal matrices and solutions of system of equations. Eigen values and Eigen vectors.

Vectors: Scalar and vector products, orthogonal vectors. Directional derivatives, gradient, divergent and curl.

Curves: Straight lines, parabola, circles. Area under the curve.

Differentiation: Derivatives, applications of derivatives, maxima and minima.

Differential Equations: Modeling and solutions of simple first and second order differential equations.

Functions: Functions, Inverse functions, one-one and on to functions.

Permutations and Combinations: Counting principles, permutations and combinations.

Probability: Probability, conditional probability and Bayes’ theorem. Mean, Mode and Median for data.

Distributions: Random variable and Distributions (Binomial, Poisson and Normal distributions only).

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