TS PGECET Syllabus 2027: Subject-Wise Topics, Weightage and PDF Download

Discrete Mathematics (Sets, Relations, Functions, Graph Theory, Combinatorics), Linear Algebra (Matrices, Determinants, Eigenvalues), Calculus (Limits, Continuity, Differentiation, Integration), Probability and Statistics, Mathematical Logic, Generating Functions

Number Systems and Codes, Boolean Algebra, Minimization (K-Map, Quine-McCluskey), Combinational Circuits (Adders, Multiplexers, Decoders, Encoders), Sequential Circuits (Flip-Flops, Counters, Shift Registers)

Machine Instructions and Addressing Modes, ALU Design and Data-Path, CPU Control Unit, Memory Organization (Cache, Virtual Memory, RAM, ROM), I/O Interface, Instruction Pipelining, RISC vs CISC Architectures, Interrupts

C Programming Fundamentals, Arrays and Strings, Linked Lists (Singly, Doubly, Circular), Stacks and Queues, Trees (Binary Tree, BST, AVL Tree, B-Tree, Heap), Graphs (Representation, BFS, DFS), Hashing, Sorting (Merge Sort, Quick Sort, Heap Sort), Searching Algorithms

Asymptotic Notation (Big-O, Big-Omega, Big-Theta), Recurrence Relations, Divide and Conquer, Greedy Algorithms, Dynamic Programming, Graph Algorithms (Dijkstra, Bellman-Ford, Floyd-Warshall, Prim’s, Kruskal’s), NP-Completeness Concepts

Regular Languages, DFA and NFA, Regular Expressions, Closure Properties, Context-Free Languages, CFGs, Pushdown Automata, Turing Machines, Decidability, Undecidability, Rice’s Theorem, Chomsky Hierarchy

Lexical Analysis (Tokens, LEX), Parsing Techniques (LL(1), LR(0), SLR(1), LALR(1), CLR(1)), Syntax-Directed Translation, Intermediate Code Generation (3-Address Code, TAC), Code Optimization, Code Generation and Register Allocation

Processes and Threads, CPU Scheduling Algorithms (FCFS, SJF, Round Robin, Priority, MLQS), Process Synchronization (Semaphores, Monitors, Critical Section), Deadlock (Detection, Avoidance, Banker’s Algorithm), Memory Management (Paging, Segmentation, Page Replacement Algorithms), Virtual Memory, File Systems, Disk Scheduling

ER Model and ER-to-Relational Mapping, Relational Algebra and Calculus, SQL (DDL, DML, DCL, TCL), Normalization (1NF, 2NF, 3NF, BCNF), Functional Dependencies, Transactions and ACID Properties, Concurrency Control (2-Phase Locking), Indexing (B-Tree, B+ Tree), Query Optimization

OSI Model and TCP/IP Model, Data Link Layer (MAC Addressing, CSMA/CD, ARP, Error Detection and Correction), Network Layer (IP Addressing, IPv4 vs IPv6, Subnetting, Routing Protocols — RIP, OSPF, BGP), Transport Layer (TCP vs UDP, Flow Control, Congestion Control), Application Layer (HTTP, DNS, SMTP, FTP, DHCP), Network Security Basics

Linear Algebra, Calculus, Ordinary and Partial Differential Equations, Vector Calculus, Complex Variables, Probability and Statistics, Numerical Methods, Laplace Transform, Fourier Series and Transform, Z-Transform

Network Theorems (Thevenin, Norton, Superposition, Maximum Power Transfer), Two-port Networks, Resonance, Continuous and Discrete-time Signals, Sampling Theorem, Fourier Analysis (CTFT, DTFT, DFT, FFT), LTI Systems, Convolution, BIBO Stability, Laplace and Z-Transform Applications

Semiconductor Physics, p-n Junction Diode (I-V Characteristics, Breakdown), BJT (CE, CB, CC configurations), FET (JFET, MOSFET — Enhancement and Depletion), CMOS, Diode Applications (Rectifiers, Clippers, Clampers), Zener Diode, LED, Photodiode, Solar Cell, Tunnel Diode

Small-signal Models of BJT and MOSFET, Amplifier Configurations and Biasing, Frequency Response (Miller Effect, Bandwidth), Feedback Amplifiers (Voltage, Current, Transresistance, Transconductance topologies), Operational Amplifiers (Ideal and Practical, Inverting/Non-Inverting, Integrator, Differentiator, Comparator, Instrumentation Amplifier), Oscillators (RC Phase Shift, Wein Bridge, Hartley, Colpitts, Crystal), Power Amplifiers (Class A, B, AB, C)

Boolean Algebra and Minimization, Combinational Circuits (Adder, Subtractor, Multiplexer, Decoder, Priority Encoder, Comparator), Sequential Circuits (SR, JK, D, T Flip-Flops; Counters; Shift Registers; State Machine Design), A/D and D/A Converters, Semiconductor Memories (SRAM, DRAM, ROM, EEPROM), Microprocessor Basics (8085, 8086 Architecture and Programming)

Transfer Functions, Block Diagram Reduction, Signal Flow Graphs (Mason’s Gain Formula), Time-domain Response (First-order and Second-order Systems), Steady-state Errors, Routh-Hurwitz Stability Criterion, Root Locus Technique, Frequency-domain Analysis (Bode Plots, Nyquist Criterion, Gain Margin, Phase Margin), PID Controllers, State Space Representation

Random Processes and Noise Analysis, Amplitude Modulation (AM, DSB-SC, SSB, VSB), Frequency Modulation and Phase Modulation, Pulse Modulation (PAM, PCM, DPCM, Delta Modulation, ADM), Digital Modulation (ASK, PSK, FSK, BPSK, QPSK, QAM), BER Analysis, Information Theory (Shannon’s Theorem, Channel Capacity, Entropy), Error Control Coding (Hamming Codes, Cyclic Codes, Convolutional Codes), Spread Spectrum Techniques

Maxwell’s Equations, Plane Wave Propagation in Free Space, Dielectrics and Conductors, Transmission Lines (VSWR, Reflection Coefficient, Smith Chart), Rectangular and Circular Waveguides, Resonators, Antennas (Types, Radiation Pattern, Gain, Effective Aperture, Antenna Arrays), Radar Fundamentals, Optical Fiber Basics

Linear Algebra, Calculus, Ordinary Differential Equations, Vector Calculus, Complex Variables, Probability and Statistics, Numerical Methods, Laplace Transform, Fourier Series and Transform, Z-Transform

KVL and KCL, Mesh and Node Analysis, Network Theorems (Thevenin, Norton, Superposition, Maximum Power Transfer), Transient Analysis (RL, RC, RLC Circuits), Steady-state AC Analysis (Phasors, Impedance, Admittance, Power Factor), Three-phase Circuits (Star and Delta, Power Measurement), Resonance, Two-port Networks

Coulomb’s Law, Electric Field Intensity and Potential, Gauss’s Law, Poisson and Laplace Equations, Biot-Savart Law, Ampere’s Circuital Law, Magnetic Flux Density, Faraday’s Law of Electromagnetic Induction, Maxwell’s Equations, Boundary Conditions

Continuous-time and Discrete-time Signals, LTI Systems, Convolution, Laplace Transform and Applications, Fourier Series and Fourier Transform, DTFT and Z-Transform, Sampling Theorem, Stability Analysis

Single-phase and Three-phase Transformers (Equivalent Circuit, Efficiency, Regulation, Parallel Operation), DC Machines (Generators and Motors — Types, Characteristics, Starting, Speed Control, Braking), Three-phase Induction Motors (Equivalent Circuit, Torque-speed Characteristics, Starting Methods, Speed Control), Synchronous Machines (Generator and Motor Operation, Phasor Diagrams, Excitation, V-curves), Special Machines (BLDC, Stepper, Servo, Universal Motor)

Power Generation Basics (Thermal, Hydro, Nuclear), Transmission Line Parameters, Per-unit Representation, Load Flow Analysis (Gauss-Seidel, Newton-Raphson Methods), Symmetrical and Unsymmetrical Fault Analysis, Power System Protection (Overcurrent, Differential, Distance Relays; Circuit Breakers), Economic Operation, HVDC, Power Quality and Harmonics

Transfer Functions, Block Diagram Algebra, Signal Flow Graphs, Time Response Analysis (Rise Time, Settling Time, Overshoot), Steady-state Errors, Routh-Hurwitz Criterion, Root Locus, Bode Plots, Nyquist Criterion, PID Controllers, State Space Analysis (State Variables, Controllability, Observability)

Power Semiconductor Devices (SCR, TRIAC, GTO, MOSFET, IGBT), Uncontrolled and Controlled Rectifiers (Single-phase and Three-phase), Inverters (Single-phase and Three-phase VSI, PWM Techniques), DC-DC Converters (Buck, Boost, Buck-Boost, Cuk), AC Voltage Controllers, Cycloconverters, DC and AC Motor Drives

Linear Algebra (Matrices, Eigenvalues), Calculus, Ordinary Differential Equations, Partial Differential Equations, Vector Calculus, Probability and Statistics, Numerical Methods (Newton-Raphson, Runge-Kutta, Numerical Integration)

Engineering Mechanics: Statics (Equilibrium, Trusses, Friction), Dynamics (Kinematics and Kinetics of Particles and Rigid Bodies, Work-Energy, Impulse-Momentum). Mechanics of Materials: Stress and Strain, Bending of Beams, Torsion, Columns and Struts, Deflection. Theory of Machines: Gears and Gear Trains, Cams and Followers, Governors and Gyroscopes, Flywheels, Vibrations (Free and Forced). Machine Design: Fatigue Failure, Springs, Shafts, Bolted and Welded Joints, Bearings, Brakes and Clutches.

Fluid Properties and Statics, Kinematics of Fluid Flow, Dynamics (Continuity, Bernoulli, Momentum Equations), Laminar and Turbulent Flow, Pipe Flow and Losses, Boundary Layer Theory, Pumps and Hydraulic Turbines. Thermodynamics: Laws (First and Second Law, Entropy), Properties of Pure Substances and Steam Tables, Thermodynamic Cycles (Carnot, Rankine, Brayton, Diesel, Otto), Psychrometrics. Heat Transfer: Conduction (Steady-state and Transient), Convection (Natural and Forced), Radiation, Heat Exchangers. Gas Dynamics: Compressible Flow, Isentropic Relations, Normal Shocks, Nozzles.

Metal Casting (Types, Defects), Metal Forming (Forging, Rolling, Extrusion, Drawing, Sheet Metal Operations), Joining Processes (Welding, Brazing, Soldering), Metal Cutting Theory (Orthogonal Cutting, Tool Life — Taylor’s Equation, Cutting Forces), Machine Tools (Lathe, Milling, Drilling, Grinding), Metrology (Fits, Tolerances, Surface Finish, Gauges), CNC Basics. Industrial Engineering: Linear Programming, Transportation Problems, PERT/CPM, Inventory Control (EOQ), Queuing Theory, Quality Control (SPC, Six Sigma, Acceptance Sampling).

Linear Algebra, Calculus, Ordinary Differential Equations, Partial Differential Equations, Vector Calculus, Probability and Statistics, Numerical Methods

Strength of Materials (Stress and Strain, Bending Stresses, Shear Stresses, Torsion, Columns, Deflection and Slope). Structural Analysis (Trusses, Beams, Arches, Frames, Influence Lines, Energy Methods — Castigliano’s Theorem, Matrix Stiffness Method). Concrete Structures (IS 456 Provisions, Working Stress Method, Limit State Design — Beams, Slabs, Columns, Footings). Steel Structures (IS 800 Provisions, Connections — Bolted and Welded, Beams, Columns and Tension Members).

Soil Classification (IS Classification, Index Properties, Atterberg Limits), Compaction (Proctor Test, Field Compaction), Permeability and Seepage (Darcy’s Law, Seepage Pressure, Flow Nets), Consolidation (Terzaghi’s Theory, Settlement Calculation), Shear Strength (Mohr-Coulomb Criterion, Direct Shear, Triaxial Tests), Earth Pressure Theories (Rankine and Coulomb), Slope Stability, Foundation Design (Terzaghi’s Bearing Capacity, IS Code Methods, Settlement, Pile Foundations)

Fluid Mechanics (Properties, Hydrostatics, Kinematics, Bernoulli’s Equation, Momentum Principle, Pipe Flow, Boundary Layer), Open Channel Flow (Manning’s Equation, Specific Energy, Hydraulic Jump, Gradually Varied Flow), Hydraulic Machines (Pumps, Turbines). Hydrology: Rainfall-Runoff Relationships, Unit Hydrograph, Flood Estimation (Rational Method, SCS-CN Method), Groundwater (Darcy’s Law, Well Hydraulics). Irrigation Engineering (Canal Design, Weirs, Barrages, Head Works, Water Logging and Drainage).

Water Supply Engineering (Sources, Quality Standards, Treatment — Coagulation, Flocculation, Sedimentation, Filtration, Disinfection, Distribution Systems), Wastewater Engineering (Characteristics of Sewage, Primary and Secondary Treatment, Activated Sludge, Trickling Filters, Sludge Treatment), Solid Waste Management, Air Pollution (Types, Standards, Control Measures), Noise Pollution Standards

Highway Engineering: Geometric Design (Sight Distance, Horizontal and Vertical Alignment), Pavement Design (Flexible — CBR Method; Rigid — Westergaard’s Theory), Pavement Materials and Tests, Road Maintenance. Traffic Engineering: Speed and Volume Studies, Level of Service, Traffic Signal Design (Webster’s Method), PCU. Railways: Components of Track (Rails, Sleepers, Ballast), Geometric Design (Gradient, Curves). Airport Engineering Fundamentals.