SYLLABUS

 ELECTRONICS ENGINEERING  

COMPUTER ENGINEERING   

INFORMATION TECHNOLOGY

COMPUTER SCIENCE AND ENGINEERING

BASIC MATHEMATICS:

Mathematical Logic:            Propositional Logic, First-order Logic; Probability: Random variables and expectation, Conditional probability, Independent random variables, Distributions (Uniform, Normal, Exponential, Poisson, Binomial); Discrete Mathematics: Sets, Relations, Functions, Groups, Lattice, Boolean algebra, Induction, Recurrence relations; Combinatorics: Permutations, Combinations, Counting, Summation; Elementary graph theory:            Basic properties, Connectivity, Covering and matching, Planarity; Elementary concepts of  Linear and Matrix Algebra; Numerical methods: Classical algorithms for interpolation and root finding.

 THEORY OF COMPUTATION:

 Formal Languages and Automata Theory: Regular languages and finite automata, Context free languages and Push-down automata, Recursively enumerable sets and Turing machines, Un-decidability; Analysis of Algorithms and Computational Complexity: Asymptotic analysis (best, worst, average case) of time and space, Upper and lower bounds on the complexity of specific problems, NP-completeness.

 COMPUTER HARDWARE:

 Digital Logic:            Logic functions, Minimization, Design and synthesis of Combinational and Sequential circuits; Number representation and Computer Arithmetic (fixed and floating point); Computer Organization: Machine instructions and addressing modes, ALU and Data-path, hardwired and micro-programmed control, Memory interface, I/O interface (Interrupt and DMA mode), Serial communication interface, Instruction pipelining, Cache, main and secondary storage.

SOFTWARE SYSTEMS:

Data structures:  Notion of abstract data types, Stack, Queue, List, Set, String, Tree, Binary search tree, Heap, Graph; Programming Methodology: C programming, Program control (iteration, recursion, Functions), Scope, Binding, Parameter passing, Elementary concepts of Object oriented, Functional and Logic Programming; Algorithms for problem solving: Tree and graph traversals, Connected components, Spanning trees, Shortest paths; Hashing, Sorting, Searching; Design techniques (Greedy, Dynamic Programming,  Divide-and-conquer); Compiler Design: Lexical analysis, Parsing, Syntax directed translation, Runtime environment, Code generation, Linking (static and dynamic); Operating Systems: Classical concepts (concurrency, synchronization, deadlock), Processes, threads and Inter-process communication, CPU scheduling, Memory management, File systems, I/O systems, Protection and security.

 Databases: Relational model  (ER-model, relational algebra, tuple calculus), Database design (integrity constraints, normal forms), Query languages (SQL), File structures (sequential files, indexing, B⁺ trees), Transactions and concurrency control; Computer Networks: ISO/OSI stack, sliding window protocol, LAN Technologies (Ethernet, Token ring), TCP/UDP, IP, Basic concepts of switches, gateways, and routers.

EC  -  ELECTRONICS AND COMMUNICATION ENGINEERING

Networks: Network graphs: matrices associated with graphs; incidence, fundamental cut set and fundamental circuit matrices.  Solution methods: nodal and mesh analysis.  Network theorems: superposition, Thevenin and Norton’s maximum power transfer, Wye-Delta transformation.  Steady state sinusoidal analysis using phasors.  Linear constant coefficient differential equations; time domain analysis of simple RLC circuits, Solution of network equations using Laplace transform: frequency domain analysis of RLC circuits.  2-port network parameters: driving point and transfer functions.  State equations for networks.

Electronic Devices: Energy bands in silicon, intrinsic and extrinsic silicon.  Carrier transport in silicon: diffusion current, drift current, mobility, resistivity.  Generation and recombination of carriers.  p-n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED, p-I-n and avalanche photo diode, LASERs.  Device technology:  integrated circuits fabrication process, oxidation, diffusion, ion implantation, photolithography, n-tub, p-tub and twin-tub CMOS process.

Analog Circuits: Equivalent circuits (large and small-signal) of diodes, BJTs, JFETs, and MOSFETs.  Simple diode circuits, clipping, clamping, rectifier.  Biasing and bias stability of transistor and FET amplifiers.  Amplifiers: single-and multi-stage, differential, operational, feedback and power.  Analysis of amplifiers; frequency response of amplifiers.  Simple op-amp circuits.  Filters.  Sinusoidal oscillators; criterion for oscillation; single-transistor and op-amp configurations.  Function generators and wave-shaping circuits.  Power supplies.

Digital circuits: Boolean algebra, minimization of Boolean functions; logic gates digital IC families (DTL, TTL, ECL, MOS, CMOS).  Combinational circuits: arithmetic circuits, code converters, multiplexers and decoders.  Sequential circuits: latches and flip-flops, counters and shift-registers.  Sample and hold circuits, ADCs, DACs. Semiconductor memories.  Microprocessor(8085): architecture, programming, memory and I/O interfacing.

Signals and Systems: Definitions and properties of Laplace transform, continuous-time and discrete-time Fourier series, continuous-time and discrete-time Fourier Transform, z-transform.  Sampling theorems.  Linear Time-Invariant (LTI) Systems: definitions and properties; casuality, stability, impulse response, convolution, poles and zeros frequency response, group delay, phase delay.  Signal transmission through LTI systems.  Random signals and noise: probability, random variables, probability density function, autocorrelation, power spectral density.

Controls Systems: Basic control system components; block diagrammatic description, reduction of block diagrams.  Open loop and closed loop (feedback) systems and stability analysis of these systems.  Signal flow graphs and their use in determining transfer functions of systems; transient and steady state analysis of LTI control systems and frequency response.  Tools and techniques for LTI control system analysis: root loci, Routh-Hurwitz criterion, Bode and Nyquist plots.  Control system compensators: elements of lead and lag compensation, elements of Proportional-Integral-Derivative(PID) control.  State variable representation and solution of state equation of LTI control systems.

Communications: Analog communication systems: amplitude and angle modulation and demodulation systems, spectral analysis of these operations, superheterodyne receivers; elements of hardware, realizations of analog communication systems; signal-to-noise ratio (SNR) calculations for amplitude modulation (AM) and frequency modulation (FM) for low noise conditions.  Digital communication systems: pulse code modulation (PCM), differential pulse code modulation (DPCM), delta modulation (DM); digital modulation schemes-amplitude, phase and frequency shift keying schemes (ASK, PSK, FSK), matched filter receivers, bandwith consideration and probability of error calculations for these schemes.

Electromagnetics:  Elements of vector calculus: divergence and curl; Gauss’ and Stokes’ theorems, Maxwell’s equations: differential and integral forms.  Wave equation, Poynting vector.  Plane waves: propagation through various media; reflection and refraction; phase and group velocity; skin depth.  Transmission lines: characteristic impedance; impedance transformation; Smith chart; impedance matching; pulse excitation.  Waveguides: modes in rectangular waveguides; boundary conditions; cut-off frequencies; dispersion relations.  Antennas: Dipole antennas; antenna arrays; radiation pattern; reciprocity theorem, antenna gain.

EE - ELECTRICAL ENGINEERING

Electrical Circuits and Fields: Network graph, KCL, KVL, node/ cut set, mesh/ tie set analysis, transient response of d.c. and  a.c. networks; sinusoidal steady-state analysis; resonance in electrical circuits; concepts of ideal voltage and current sources, network theorems, driving point, immittance and transfer functions of two port networks, elementary concepts of filters; three phase circuits; Fourier series and its application; Gauss theorem, electric field intensity and potential due to point, line, plane and spherical charge distribution, dielectrics, capacitance calculations for simple configurations; Ampere's and Biot-Savart's law, inductance calculations for simple configurations.

Electrical Machines: Single phase transformer - equivalent circuit, phasor diagram, tests, regulation and efficiency; three phase transformers - connections, parallel operation; auto transformer and three-winding transformer; principles of energy conversion, windings of rotating machines: D. C. generators and motors - characteristics, starting and speed control, armature reaction and commutation; three phase induction motors-performance characteristics, starting and speed control; single-phase induction motors; synchronous generators-performance, regulation, parallel operation; synchronous motors - starting, characteristics, applications, synchronous condensers; fractional horse power motors; permanent magnet and stepper motors.

Power Systems: Electric power generation - thermal, hydro, nuclear; transmission line parameters; steady-state performance of overhead transmission lines and cables and surge propagation; distribution systems, insulators, bundle conductors, corona and radio interference effects; per-unit quantities; bus admittance and impedance matrices; load flow; voltage control and power factor correction; economic operation; symmetrical components, analysis of symmetrical and unsymmetrical faults; principles of over current, differential and distance protections; concept of solid state relays and digital protection; circuit breakers; concept of system stability-swing curves and equal area criterion; basic concepts of HVDC transmission.

Control Systems: Principles of feedback; transfer function; block diagrams: steady-state errors; stability-Routh and Nyquist criteria; Bode plots; compensation; root loci; elementary state variable formulation; state transition matrix and response for Linear Time Invariant systems.

Electrical and Electronic Measurements: Bridges and potentiometers, PMMC,  moving iron, dynamometer and induction type instruments; measurement of voltage, current, power, energy and power factor; instrument transformers; digital voltmeters and multimeters; phase, time and frequency measurement; Q-meter, oscilloscopes, potentiometric recorders, error analysis.  

Analog and Digital Electronics: Characteristics of diodes, BJT, FET, SCR; amplifiers-biasing, equivalent circuit and frequency response; oscillators and feedback amplifiers, operational amplifiers- characteristics and applications; simple active filters; VCOs and timers; combinational and sequential logic circuits, multiplexer, Schmitt trigger, multivibrators, sample and hold circuits, A/D and D/A converters; microprocessors and their applications.

Power Electronics and Electric Drives: Semiconductor power devices-diodes, transistors, thyristors, triacs, GTOs, MOSFETs and IGBTs - static characteristics and principles of operation; triggering circuits; phase control rectifiers; bridge converters-fully controlled and half controlled; principles of choppers and inverters, basic concepts of adjustable speed  dc and ac drives.

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