TS PGECET - Syllabus
Telangana State Post Graduate Engineering Common Entrance Test 2020
Exam Date: 21 Sep - 24 Sep 2020
Computer Based Test
Updated On - July 14 2020 by Latika Kalra
|Engineering Mathematics||Electronics and Communication Engineering|
|Linear Algebra: Vector space, basis, linear dependence and independence, matrix algebra, eigenvalues and eigenvectors, rank, solution of linear equations – existence and uniqueness||Networks: Definition and properties of Laplace transform, Network 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; Time-domain analysis of simple linear 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.|
|Calculus: Mean value theorems, theorems of integral calculus, evaluation of definite and improper integrals, partial derivatives, maxima and minima, multiple integrals, line, surface and volume integrals, Taylor series.||Signals and Systems: Continuous-time and discrete-time Fourier series, Continuous-time and discrete-time Fourier transform, DFT and FFT, Z-Transform. Sampling theorem. Linear Time-Invariant (LTI) Systems: Definitions and properties; Causality, stability, impulse response, convolution, poles and zeros, parallel and cascade structure, frequency response, group delay, phase delay.|
|Differential Equations: First order equations (Linear and Nonlinear), higher-order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy's and Euler's equations, Initial and boundary value problems, partial differential equations and variable separable method.||Electronic Devices: Energy bands in intrinsic and extrinsic Silicon. Carrier transport in silicon: diffusion current, drift current, mobility, and resistivity. Generation and recombination of carriers. P-N Junction diode, Zener diode, Tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED, PIN and Avalanche Photo Diode, Basics of Lasers. Device Technology: Integrated circuits fabrication process, oxidation, diffusion, ion implantation, photolithography and twin-tub CMOS process.|
|Complex Variables: Analytic functions, Cauchy's integral formula: Cauchy’s integral theorem, Taylor's and Laurent' series, residue theorem.||Analog Circuits: Small signal equivalent circuits of diodes, BJTs, MOSFETs and analogue CMOS. Simple diode circuits, clipping, clamping, rectifier. Biasing and bias stability of BJT and FET amplifiers. Amplifiers: single-and multi-stage, differential, operational, feedback, and power amplifiers. The 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, 555 timers. Power supplies, regulation|
|Probability and Statistics: Probability, Joint and conditional probability, discrete and continuous random variables, probability distribution and density functions. Exponential, Poisson, Normal and Binomial Distributions Functions. mean, mean square and standard deviation.||Digital Circuits: Boolean algebra, minimization of Boolean Functions; logic gates; digital IC families (DTL, TTL, ECL, MOS, CMOS). Combinatorial circuits: Arithmetic circuits, code converters, multiplexers, decoders, PROMs and PLAs. Sequential circuits: Latches and flip-flops, counters and shift-registers. Sample and hold circuits, ADCs, DACs. Semiconductor memories: ROM, SRAM and DRAM, Microprocessor (8085): Architecture, programming,|
memory and I/O Interfacing.
|Numerical Methods: Solutions of non-Linear equations, single and multi-step methods for differential equations.||Control Systems: Basic control system components; Feedback principle; Transfer function; Block diagram is presentation; Signal flow graph; Transient and steady-state analysis of LTI systems; Frequency response; Routh-Hurwitz and Nyquist stability criteria; Bode and root-locus plots; Lag, lead and lag-lead compensation; State|
variable model and solution of state equation of LTI systems.
|Communications: Deterministic and Random Signals, types of noise, autocorrelation, power spectral density, properties of white noise, filtering of random signals through LTI systems; analogue communication systems:|
amplitude and angle modulation and demodulation systems, spectra of AM and FM, super-heterodyne receivers, circuits for analogue communications; Information theory: entropy, mutual information and channel capacity theorem; Digital communications: Sampling Theory Pulse Code Modulation (PCM), Differential Pulse Code Modulation (DPCM); Digital modulation schemes: amplitude, phase and frequency shift keying schemes (ASK,
PSK, FSK, QAM); Matched filter receiver, calculation of bandwidth, SNR and BER for digital modulation schemes; Fundamental of error correction, Hamming codes; Timing and frequency synchronization, inter-symbol interference and its mitigation; Basics of TDMA, FDMA and CDMA.
|Electromagnetics: Maxwell's Equations: differential and integral forms and their interpretation, boundary conditions, wave equation, Poynting vector; 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, S-parameters, Smith chart: Waveguides:|
modes, boundary conditions, cut-off frequencies, dispersion relations. Antennas: antenna types, radiation pattern, gain and directivity, return loss.
Fluid Mechanics: Fluid Properties; Fluid Statics, Manometry, Buvoyancy; Forces on submerged bodies, Stability of floating bodies, Fluid Acceleration; Differential Equations of Continuity and Momentum; Bernoulli's Equation; Viscous Flow of Incompressible Fluids; Boundary Layer; Elementary Turbulent Flow; Flow Through Pipes, Head Losses in Pipes, Bends Etc.
Heat-Transfer: Modes of Heat Transfer; One Dimensional Heat Conduction, Resistance Concept, Electrical Analogy, Heat transfer through fins, Unsteady Heat Conduction, Dimensionless Parameters in Free and Forced Convective Heat Transfer, Various Correlations for Heat Transfer in Flow Over Flat Plates and Through Pipes; Thermal Boundary Layer; Effect of Turbulence; Radiative Heat Transfer, Black and Grey Surfaces, Shape Factors, Network Analysis; Heat Exchanger Performance, LMTD and NTU methods.
Thermodynamics: Thermodynamic systems and processes; properties of pure substances, the behaviour of ideal and real gases; zeroth and first laws of thermodynamics, calculation of work and heat in various processes; second law of thermodynamics; thermodynamic property charts and tables, availability and irreversibility; thermodynamic relations.
Power Engineering: Steam Tables, Rankine, Brayton Cycles with Regeneration and Reheat. I.C. Engines: Air-Standard Otto, Diesel Cycles. Refrigeration and Air-Conditioning: Vapour Refrigeration Cycle, Heat Pumps, Gas Refrigeration, Reverse Brayton Cycle; Moist Air: Psychrometric Chart, Basic Psychrometric Processes. Turbomachinery: Pelton wheel, Francis and Kaplan Turbines - Impulse and Reaction Principles, Velocity Diagrams.
Engineering Materials: Structure and Properties of Engineering Materials, Heat Treatment, Stress-Strain Diagrams for Engineering Materials, Phase diagrams.
Metal Casting: Design of Patterns, Moulds and Cores; Solidification and Cooling; Riser and Gating Design, Design Considerations.
Metal Forming: Plastic Deformation and Yield Criteria; Fundamentals of Hot and Cold Working Processes; Load Estimation for Bulk (Forging, Rolling, Extrusion, Drawing) and Sheet (Shearing, Deep Drawing, Bending) Metal Forming Processes; Principles of Powder Metallurgy.
Joining Process: Physics of Welding, Brazing and Soldering; Adhesive Bonding; Design Considerations in Welding
Machining and Machine Tool Operations: Mechanics of Machining, Single and Multi-Point Cutting Tools, Tool Geometry and Materials, Tool Life and Wear; Economics of Machining; Principles of Non-Traditional Machining Processes; Principles of Work Holding, Principles of Design of Jigs and Fixtures
Metrology and Inspection: Limits, Fits and Tolerances; Linear and Angular Measurements; Comparators; Gauge Design; Interferometry; Form and Finish Measurement; Alignment and Testing Methods; Tolerance Analysis in Manufacturing and Assembly.
Computer Integrated Manufacturing: Basic Concepts of CAD/CAM and their Integration Tools.
Production Planning and Control: Forecasting Models, Aggregate Production Planning, Scheduling, Materials Requirement Planning.
Inventory Control: Deterministic Models; Safety Stock Inventory Control Systems.
Operations Research: Linear Programming, Simplex Method, Transportation, Assignment, Network Flow Models, Simple Queuing Models, PERT and CPM.
Engineering Mechanics: Free Body Diagrams and Equilibrium; Trusses and Frames; Virtual Work; Kinematics and Dynamics of Particles and Rigid Bodies in Plane Motion, Impulse and Momentum (Linear and Angular) and Energy Formulations; Impact.
Strength of Materials: Stress and Strain, Stress-Strain Relationship and Elastic Constants, Poisson’s ratio, Mohr's Circle for Plane Stress and Plane Strain, Thin Cylinders; Shear Force and Bending Moment Diagrams; Bending and Shear Stresses; Deflection of Beams; Torsion of Circular Shafts; Euler's Theory of Columns; Strain Energy Methods; Thermal Stresses, Testing of Materials with UTM, hardness and impact strength.
Theory of Machines: Displacement, Velocity and Acceleration Analysis of Plane Mechanisms; Dynamic Analysis of Slider-Crank Mechanism; Gear and Gear Trains; Flywheels, Gyroscope and Governors
Vibrations: Free and Forced Vibration of Single Degree of Freedom Systems; Effect of Damping; Vibration Isolation; Resonance, Critical Speeds of Shafts.
Machine 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, Shafts, Spur Gears, Rolling and Sliding Contact Bearings, Brakes and Clutches and Springs.
Linear Algebra: Matrices and Determinants, Systems of Linear Equations, Eigen Values and Eigen Vectors.
Calculus: Functions of Single Variable, Limit, Continuity and Differentiability, Mean Value Theorems, Evaluation of Definite and Improper Integrals, Partial Derivatives, Total Derivative, Maxima and Minima, Gradient, Divergence and Curl, Vector Identities, Directional Derivatives, Line, Surface and Volume Integrals, Stokes, Gauss and Green's Theorems.
Differential Equations: First Order Equations (Linear and Nonlinear), Higher-Order Linear Differential Equations with Constant Coefficients, Cauchy's and Euler's Equations, Initial and Boundary Value Problems, Laplace Transforms, Solutions of One Dimensional Heat and Wave Equations and Laplace Equation.
Complex Variables: Analytic Functions, Cauchy's Integral Theorem, Taylor and Laurent Series.
Probability and Statistics: Definitions of Probability and Sampling Theorems, Conditional Probability, Mean, Median, Mode and Standard Deviation, Random Variables, Exponential, Poisson, Normal and Binomial Distributions.
Numerical Methods: Numerical Solutions of Linear and Non-Linear Algebraic Equations, Integration by Trapezoidal and Simpson's Rule, Single and Multi-Step Methods for Differential Equations.
Discrete Mathematics: Propositional and First-Order Logic, Sets, Relations, Functions, Partial Orders and Lattices, Groups. Graphs: Connectivity, Matching, Coloring. Combinatorics: Counting, Recurrence Relations, Generating Functions.
Linear Algebra: Matrices, Determinants, System of Linear Equations, Eigen values and Eigen vectors, LU Decomposition.
Calculus: Limits, Continuity and Differentiability, Maxima and Minima, Mean Value Theorem, Integration.
Probability: Random Variables: Uniform, Normal, Exponential, Poisson and Binomial Distributions. Mean, Median, Mode and Standard Deviation. Conditional Probability and Bayes Theorem.
Digital Logic: Boolean Algebra, Combinational and Sequential Circuits: Minimization, Number Representations and Computer Arithmetic (Fixed and Floating-Point Representations).
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 Trees, Binary Search Trees, Tree Operations, Binary Heaps, Graph terminology and representation, Graph traversal techniques.
Algorithms: Searching, Sorting, Hashing, Asymptotic Notations, Time and Space Complexity. Algorithm Design Techniques: Greedy, Dynamic Programming and Divide‐and‐Conquer. Graph traversal techniques, Minimum Spanning Trees, Shortest Path algorithms.
Theory of Computation: Regular Expressions and Finite Automata, Context-Free Grammars and Push- Down Automata, Regular and Context-Free Languages, Pumping Lemma, Turing Machines and Undecidability.
Compiler Design: Lexical Analysis, Parsing, Syntax-Directed Translation, Runtime Environments, Intermediate Code Generation.
Operating System: Processes, Threads, CPU Scheduling, Inter‐Process Communication, Concurrency and Synchronization, Deadlock, Memory Management and Virtual Memory, File Systems.
Databases: ER‐Model, Relational Model: Relational Algebra, Tuple Calculus, SQL, Integrity Constraints, Normal Forms, File Organization: Indexing, B Trees and B+ Trees, Transactions and
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. Application Layer Protocols: DNS, SMTP, POP, FTP, HTTP. Basics of Wi-Fi, Network Security: Authentication, Basics of Public Key and Private Key Cryptography, Digital Signatures and Certificates, Firewalls.
Software Engineering: Software Process Models, Data Flow Diagram, UML Diagrams, Life Cycle, Design, Coding, Testing, Implementation, Maintenance.
Candidates can download the other branch syllabus which is mentioned below:
12 Mar 2020
10 Jun 2020
21 Sep - 24 Sep 2020