Finite Dimensional Linear Vector Space- Span, Basis,Orthonormal Set, Gram-Schmidt Orthogonalization Process, Linear Independence,Inner Product, Dual Space, Eigen Space, Similar Matrices, Linear Operator,Hermetian, Rank of a Matrix, Cayley-Hamiltonian Theorem, Unitary and NormalMatrices, Spectral Decomposition.
Group, Ring and Field- Basic Concepts of Groups, CyclicGroup, Cosets, Elementary Concepts of Rings and Fields
Real Analysis- Concepts of sets of Real Numbers, Sequence ofReal Numbers, Continuous and Differentiable Functions, Rolle’s Theorem, MeanValue Theorem and Taylor Series, Reimann Integration.
Probability Theory- Conditional Probability, Bayes Theorem,Random Variable, PDF and CDF, Moment Generating Function, TheoreticalDistribution (Binomial, Poisson, Normal, Uniform and Hyper geometric).
Complex Analysis- Analytic functions, Integration, Cauchy’sIntegral Theorem, Cauchy’s Integral Formula, Taylor and Laurent Series,Residue, Contour Integration.
Ordinary Differential Equation- Equation of First order andFirst degree, Second order Linear Equation with Constant Coefficients.
Optimization- Linear Programming Problem
Fundamental Programming Concepts, Control Flow, Functions,Recursion, Basic Data Structures (arrays, lists, stacks and queues), BasicAlgorithms (sorting and searching), Boolean Algebra, Digital Building Blocks(AND/OR/NAND/XOR Gates), Karnaugh’s Maps, Computer organisation, NumberSystems, Relational Databases (Functional Dependencies, SQL) and ComputerNetworks.
Electronics And Communications Engineering- This is anObjective as well as Subjective Paper. It is a 90 minutes exam.
There are 2 Parts in this Paper. Part A- Electronics andPart B- Signal Processing and Communication. There are equal number ofquestions asked in both the parts. Candidates are required to attempt questionsfrom both the Parts in the given time. Candidates will be selected for theinterview on the basis of combined score of both the Parts.
Networks- Nodal and Mesh Analysis, Wye-Delta Transformation,Steady State Sinusoidal Analysis, Time and Frequency Domain Analysis of RLCCircuits, Laplace Transformations, 2-port Networks, Transfer Functions.
Electronic Devices-Theory and Characteristics of Diodes suchas Junction and Zener etc., Transistors such as BJT, JFET and MOSFET etc,Photodiodes
Analogue Circuits- Small Signal Models and Applications ofDiodes, BJTs, MOSFETs, Biasing of Transistors, Types of Amplifiers, Op-Ampcircuits, Filters, Oscillators, Function Generators and Wave shaping Circuits
Digital Circuits- Boolean algebra, Logic Gates, LogicFamilies, Combinational, Arithmetic, Memory and Sequential Circuits, ADC,Microprocessors and Microcontrollers
Control Systems- Components of control systems, Open andClosed loop control systems, Stability Analysis, Routh-Hurwitz Criteria, SignalFlow Graphs, Transient and Steady State Analysis of LTI Control Systemsincluding frequency response, Root loci, Bode and Nyquist plots, Lead and Lagcompensation, PID control
Signal Processing andCommunications-
Signals and Systems- Classification of signals, LTI systemanalysis, System Properties, Fourier Series, Fourier Transform, Discrete TimeFourier 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, ConditionalProbability, Bayes Theorem, Central Limit Theorem, Functions of RandomVariables, Random Processes, Stationery Random Processes, Auto-Correlation andCross-Correlation functions, Power Spectrum
Communication Theory- Analogue and Digital Modulation andDemodulation, Super heterodyne Receivers, Quantization, Line Coding, MatchedFilters, 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 ofDigital IIR and FIR filters
Electromagnetic- Basics of Electromagnetic, Vector Calculus,Maxwell’s Equations, Wave Equation, Transmission Lines, Matching Networks,S-Parameters, Basics of Waveguides, Optical Fibres and Antennas.
Structural Engineering is a subjective test. The followingtopics are asked in the IIITH PGEE 2017 exam- Bending moments and shear forcesin beams, Stress and Strain Relations, Principal Stresses, Mohr’s Circle,Simple Bending Theory, Flexural and Shear Stresses, Torsion, Analysis ofTrusses and Frames, Analysis of Indeterminate Structures by Force/DisplacementMethods, Matrix Methods of Structural Analysis, Working and Limit State DesignConcepts, Design of Compression Members, Beam, Slab, Footing, Staircases, BasicConcepts of Pre-stressed Concrete, Riveted and Welded Joints, Steel Beam ColumnConnections, Plate Girders and Design of Base Plate. Determinants, Matrices,Limit, Continuity and Differentiability, Mean Value Theorems, IntegralCalculus, Partial Derivatives, Maxima and Minima, Ordinary DifferentialEquations and Applications, Initial and Boundary Value Problems, Laplace andFourier Transforms, Test for Convergence, Sequences and Series.
PGEE for CCNSBSubject Paper
Computational NaturalSciences and Bioinformatics- It is an objective test. This paper consistsof 3 Sections: Physics, Chemistry, Biology and Bioinformatics. Candidates areexpected to attempt any 1 Section out of these as a Major Part and anothersection as a Minor Part. It is a Multiple Choice Questions (MCQs) based Paper.Given below is syllabus for the sections asked in CCNB subject-
Physics Syllabus- Mechanicsand General Properties of Matter, Electricity and Magnetism, Kinetic Theory andThermodynamics, Modern Physics, Solid State Physics, Devices and Electronics
Chemistry Syllabus:Physical Chemistry- Atomic Structure, Theory of Gases, Chemical Thermodynamics,Chemical and Phase Equilibrium, Electrochemistry, Chemical Kinetics.
Organic Chemistry-Basic Concepts in Organic Chemistry and Stereochemistry, Aromaticity andHuckel’s Rule, Heterocyclic Chemistry, Qualitative Organic Analysis.
Inorganic Chemistry-Periodic Table, Chemical Bonding and Shapes of Compounds, Main Group Elements(S and P Blocks), Transition Metals (D Block), Analytical Chemistry
Biology andBioinformatics Syllabus
Biology- GeneralBiology, Biochemistry and Physiology, Molecular Biology, Cell Biology
Bioinformatics-Sequence Analysis, Sequence Alignments, Phylogeny, Gene Prediction, StructuralBiology
Morphology, Word Formation, Morphotactics, Morpho-phonology,Computational Morphology, Lexicography, Syntax, Syntactic structure, Dependencystructure, Grammar formalisms, Semantics, Lexical Semantics, and SententialSemantics