PGEE Exam Structure

The entrance examination consists of the following two papers:

• General Aptitude paper – 90 Minutes
• Subject paper – 90 Minutes

Applicant should appear for one of the following relevant subject papers based on their graduation discipline.

1. Computer Science and Engineering (CSE)
2. Electronics and Communication Engineering (ECE)
3. Civil Engineering (CIVIL)

Syllabi for Subject Papers

1. Engineering Mathematics (Common for CSE, ECE & CIVIL)

Linear Algebra: Matrices, Rank, Determinants and its properties, Eigenvalues and Eigenvectors.

Calculus: Integration, Differentiation, Limits, Continuity and Differentiability, Convergence and Divergence of Series, Maxima, and Minima, Mean value theorem, Partial Derivatives, Ordinary Differential Equations and Applications, Initial and Boundary Value Problems.

2. Computer Science and Engineering

• Digital Logic
• C-Programming
• Data Structures
• Basic Algorithms & Problem Solving
• Discrete Mathematics & Probability Theory
• Relational Databases (Functional dependencies, SQL)
• Computer Networks
• Operating Systems

3. Electronics and Communication Engineering

• Networks Theory
• Signals and Systems
• Electronic Devices
• Analog Circuits
• Digital Circuits
• Analog and Digital Communication
• Probability and Random Processes.

Node and mesh analysis, superposition, Thevenin’s theorem, Norton’s theorem, reciprocity.
Sinusoidal steady state analysis: phasors, complex power, maximum power transfer. Time
and frequency domain analysis of linear circuits: RL, RC and RLC circuits, solution of
network equations using Laplace transform. Linear 2-port network parameters, wye-delta
transformation.

Continuous-time Signals: Fourier series and Fourier transform, sampling theorem and
applications, Laplace Transforms, Region of Convergence.
Discrete-time Signals: DTFT, DFT, z-transform, discrete-time processing of continuous-time
signals. LTI systems: definition and properties, causality, stability, impulse response,
convolution, poles and zeroes, frequency response, group delay, phase delay.

Energy bands in intrinsic and extrinsic semiconductors, equilibrium carrier concentration,
direct and indirect band-gap semiconductors. Carrier Transport: Diffusion current, drift
current, mobility and resistivity, generation and recombination of carriers, Poisson and
continuity equations. P-N junction, Zener diode, BJT, MOSFET, LED, and photo diode.

Diode Circuits: Clipping, clamping and rectifiers.
BJT and MOSFET Amplifiers: Biasing, AC coupling, small signal analysis, frequency
response. Current mirrors and differential amplifiers.
Op-amp Circuits: Amplifiers, summers, differentiators, integrators, active filters, Schmitt
triggers and oscillators.
Data Converters: Sample and hold circuits, ADCs and DACs.

Number Representations: Binary, integer and floating-point- numbers.
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.
Sequential Circuits: Latches and flip-flops, counters, shift-registers, finite state machines,
propagation delay, setup and hold time, critical path delay.
Semiconductor Memories: ROM, SRAM, DRAM. Computer Organization: Machine
instructions and addressing modes, ALU, data-path and control unit, instruction pipelining.
CMOS Digital Circuits: CMOS Inverter, CMOS Logic Gates (NAND/NOR), Pull-up and
Pull-down Networks, Transistor Sizing.
Computer Organization: Machine instructions and addressing modes, ALU, data-path and
control unit, instruction pipelining

Analog Communications: Amplitude modulation and demodulation, angle modulation and demodulation, spectra of AM and FM, super heterodyne receivers.
Digital Communications: PCM, DPCM, digital modulation schemes (ASK, PSK, FSK,
QAM), bandwidth, inter-symbol interference, Gaussian Noise and Power Spectral Density,
MAP, ML detection, matched filter receiver, SNR and BER.
Basic Information and Error Correcting Codes: Entropy, Source Coding & Data
Compression (Huffman Coding), Mutual information and Channel capacity theorem,
Fundamentals of error correction, Hamming codes, CRC codes.

Basic Axioms of Probability, Independent Events and Disjoint Events, Conditional Probability and Bayes’ Theorem, Random Variables, Discrete and Continuous Probability
Distributions, Expectation and Variance of Random Variables, Some special distributions
including Bernoulli, Binomial, and Gaussian Distributions, Basics of Random Processes
such as Stationary Random Processes, Autocovariance.

4. Civil Engineering

Structural Engineering:

Solid Mechanics

Simple stress and strain relationships, Shear forces and bending moments, Principal stresses, Simple bending theory, Combined and direct bending stresses, Flexural & Shear stresses, Transformation of stress, and Uniform torsion.

Structural Analysis

Method of superposition, Analysis of trusses, beams, and frames, statically determinate and indeterminate structures by force/displacement methods, Slope deflection and moment distribution methods, Influence lines, and Matrix methods of structural analysis.

Concrete Structures

Working stress and limit state design concepts, Design of structural members (Beam, Slab, Column, Footing, and staircase) for different loading conditions (flexure, shear and axial compression), and Bond & development length.

Steel Structures

Design of tension and compression members, Beam and beam-columns, Column bases, Beam-column connections, Plate girders and trusses, Concept of plastic analysis – beams and frames.

Hydraulics and Water Resources Engineering: 

Properties of fluids, Fluid statics, Continuity, Momentum, Energy and corresponding equations and applications, Laminar and turbulent flow, Flow in pipes, Flow measurement in channels and pipes, Kinematics of flow, Hydrologic cycle precipitation, Evaporation, Infiltration, Hydrograph analysis, Flood estimation and routing, Reservoir capacity, Reservoir and channel routing, Surface run-off models.

Other Maths Topics:

Laplace and Fourier Transforms.