Organisation : International Institute of Information Technology, Hyderabad
Announcement : Syllabus
Entrance Exam : Postgraduate Entrance Examination PGEE

Home Page : https://www.iiit.ac.in/
Syllabus Here : https://admissions.iiit.ac.in/syllabus.html

PGEE Syllabus :
Paper I General Aptitude
Paper II is subject paper
Duration : 1 1/2 hours

Paper I :
Compulsory for everyone. This is objective type question paper and will emphasize on basic aptitude, logical reasoning, basic questions on computers and mathematics.
Note : A minimum cut-off score in this paper is compulsory for evaluation of candidate's subject paper (Paper II).

Paper II :
It is subject paper. Based on the graduation, candidate has to appear for relevant subject papers.
A. Mathematics :
Duration : 1 1/2 hours
I. Finite Dimensional Linear Vector Space : Linear Independence, Span, Basis, Orthonormal Set, Gram-Schmidt Orthogo- nalization Process, Inner Product, Dual Space, Eigen Space, Rank of a Matrix, Cayley-Hamiltonian Theorem, Similar Matrices, Linear Operator, Hermetian, Unitary and Normal Matrices, Spectral Decomposition.

II. Group, Ring and Field : Basic Concepts of Groups, Cyclic Group, Cosets, Elementary Concepts of Rings and Fields
III. Real Analysis : Concepts of sets of Real numbers, Sequence of Real Numbers, Continuous and Differentiable Functions, Rolle’s Theorem, Mean Value Theorem and Taylor Se- ries, Reimann Integration

IV. Probability Theory : Conditional Probability, Bayes Theorem, Random variable, PDF and CDF, Mo- ment Generating Function, Theoretical Distribution (Binomial, Poisson, Nor- mal, Uniform and Hyper geometric).
V. Complex Analysis : Analytic functions, Integration, Cauchy’s Integral Theorem, Cauchy’s Integral formula, Taylor and Laurent Series, Residue, Contour Integration.

VI. Ordinary Differential Equation : Equation of First order and First Degree, Second order Linear Equation with Constant co efficients.
VII. Optimization : Linear Programming Problem.

B. Computer Science :
Duration : 1 1/2 hours
Fundamental Programming Concepts, Control Flow, Functions, Recursion, Basic Data Structures (arrays, lists, stacks, and queues), Basic algorithms (sorting and searching), Boolean Algebra, Digital Building Blocks (AND/OR/NAND/XOR Gates), Karnaugh's Maps, Computer Organisation, Number Systems. Capability to write programs in C or C++ is expected, Relational Databases (Functional dependencies, SQL), Computer Networks .

C. Electronics and Communications Engineering : (Objective and Subjective)
Duration : 1 1/2 hours
Selection for interview for the streams
(i) VLSI & Embedded Systems and

(ii) Signal Processing and Communication will be based on the score in this paper and the score in the general aptitude test. This subject examination paper is divided into two parts :
i. Part A (Electronics)
ii. Part B (Signal Processing and Communication) )

There will be equal number of questions from Electronics (part-A) and from Signal processing and Communication (part-B). One should attempt questions from both parts in the stipulated time. selection for the interview will be based on the combined score in the two parts.

Part A - Electronics :
Networks : Nodal and mesh analysis, Wye-Delta transformation, steady state sinusoidal analysis, time and frequency domain analysis of RLC circuits, Laplace transformations, 2-port networks, Transfer functions.

Electronic Devices : Theory and Characteristics of Diodes such as Junction and Zener etc, Transistors such as BJT, JFET, and MOSFET etc, Photodiodes.

Analog Circuits : Small signal models and applications of diodes, BJTs, MOSFETs, Biasing of transistors, Types of Amplifiers, Op-amp circuits, Filters, Oscillators, Function generators and wave-shaping circuits.

Digital circuits : Boolean algebra, logic gates, Logic families, combinational, arithmetic, memory and sequential circuits, ADC, Microprocessors and Microcontrollers.

Control Systems : Components of control systems, Open and closed loop control systems, stability analysis, Routh-Hurwitz Criteria, Signal flow graphs, transient and steady state analysis of LTI control systems including frequency response, Root loci, Bode and Nyquist plots, lead and lag compensation, PID control.

Part B - Signal Processing and Communications :
Signals and Systems : Classification of signals, LTI system analysis, System properties, Fourier Series, Fourier Transform, discrete time Fourier series , Laplace Transform, Z-transform, System transfer function, Fourier analysis of LTI systems, Sampling theorem.

Probability theory and random processes : random variables, probability distribution function, probability density function, conditional probability, Bayes theorem, central limit theorem, functions of random variables, random processes, stationary random processes, auto-correlation and cross-correlation functions, power spectrum.

Communication Theory : Analog and Digital Modulation and demodulation, Superheterodyne Receivers, Quantization, Line Coding, Matched filters, Receiver structures in the presence of AWGN, Probability of error.

Digital Signal Processing : Discrete Fourier transform, FFT, Z-transform, Z-domain analysis of LTI systems, Circular convolution, Design of digital IIR and FIR filters.

Electromagnetics : Basics of Electromagnetics, Vector calculus, Maxwell’s equations, Wave equation, Transmission lines, matching networks, S-parameters, Basics of waveguides, optical fibers, and Antennas