Polytechnic Syllabus
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Polytechnic Civil Engineering Syllabus
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UNIT 1:
ENGINEERING MATHEMATICS:
Linear Algebra:
Matrix Algebra
Linear Equations
Eigen Values And Eigen Vectors
Calculus:
Functions Of Single Variable
Limit
Continuity And Differentiability
Mean Value Theorems
Evaluation Of Definite
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, nonlinear) — higher order linear differential equations with constant
coefficients  Cauchy's and Euler's equations — initial and boundary value
problems — Laplase transformations and equations — solutions to one dimensional
heat and wave equations.
Complex variables
Analytic functions
Cauchy's integral theorem
Taylor and Laurent series
Fourier series
General, odd and even functions
Probability and Statistics
Probability And Sampling Theorems
Conditional Probability
Mean, Median, Mode And Standard Deviation
Random Variables — Poisson, Normal And Binomial
Distributions.
Numerical Methods — numerical solutions of linear and
nonlinear algebraic equations — integration by trapezoidal and Simpson’s rule,
single and multistep methods for differential equations
UNIT 2: MECHANICS:
Simple Stress And Strain Relationships In One, Two And Three
Dimensions
Principal Stresses
Stress Transformation
Mohr's Circle
Properties Of Surfaces
Friction
Principle Of Conservation Of Energy
Impulse And Momentum
Relative Motions
Bending Moment And Shear Force In Statically Determinate
Beams
Simple Bending Theory
Flexural and Shear Stresses
Unsymmetrical Bending
Shear Center
Pressure Vessels (Thin And Thick Walled)
Uniform Torsion
Springs
Buckling Of Columns
Combined And Direct Bending Stresses
Theories Of Failure
Shear Stress
Strain Energy And Distortion Energy Theories
Residual Stresses
UNIT 3: STRUCTURAL
ANALYSIS:
Analysis of statically determinate and indeterminate trusses
Arches
Cables and frames
Deflections of statically determinate structures (beams,
frames and trusses)
analysis of statically indeterminate structures (slope
deflection, moment distribution methods)
matrix methods of structural analysis
Influence lines for determinate and indeterminate
structures.
UNIT 4: CONCRETE
STRUCTURES:
Concrete technology
Properties of concrete
Mix design
Working stress and limit state design concepts
Design of all structural components (slab, beam, column,
foundation and stair case)
retaining walls
Water tanks
Basic elements of prestressed concrete
Methods  analysis of beams at transfer and service loads
Seismic load analysis
Theory of vibration
Seismology
Response of structures
Design methodology  all related IS codes
UNIT 5: STEEL
STRUCTURES:
Connections  analysis and design of tension, compression
members, beams and beam columns
Trusses  column bases
Plate girders
Plastic analysis
Wind load analysisall related IS codes
UNIT 6: SOIL
MECHANICS:
Soil Classification
Engineering Properties
Three Phase System
Relationship and Interrelationship
Permeability
Seepage
Effective Stress Principle
Consolidation
Compaction
Shear Strength
CBR
Safe Bearing Capacity Determination
UNIT 7: FOUNDATION
ENGINEERING:
Sub surface investigation
Sampling
Standard penetration test
Plate load test
Earth pressure
Effect of water table
Layered soil
Stability of slopes
Foundation types and design requirements
Stress distribution and settlement analysis
Shallow and deep foundations
UNIT 8: FLUID
MECHANICS AND MACHINES AND HYDROLOGY:
Properties of fluid — principle of conservation of mass —
momentum — energy and corresponding equations — potential flow — Bernoulli's
equation it and application — laminar and turbulent flow — flow in pipes —
network — concept of boundary layer — uniform and non uniform flow — specific energy
concept — hydraulic jump — forces on immersed bodies — flow measurements in
open.
Channels and pipes dimensional analysis and hydraulic
modeling — impact kinematics of flow — velocity triangles — pumps and turbines
Hydrologic cycle — rainfall — evaporation — infiltration — stage discharge
relationships — unit hydrographs — flood estimation — reservoir capacity —
reservoir and channel routing well hydraulics.
Duty — delta — estimation of evapo—transpiration — crop
water requirements — design of lined and unlined canals — waterways — head
works — gravity dams and spill ways — design of permeable foundation — types of
irrigation system — irrigation methods — water logging and drainage.
UNIT 9: WATER
SUPPLY AND WASTE WATER DISPOSAL:
Quality Standards
Basic Unit Processes And Operations
Water Treatment
Drinking Water Standards
Water Requirements
Surface Water Treatment
Distribution
Sewage And Its Treatment
Quantity And Characteristics Of Waste Water
Primary, Secondary And Tertiary Treatment
Effluent Discharge Standards
Domestic Waste Water Treatment
Quantity And Characteristics
Treatment Unit Operations And Unit Processes
Sludge Disposal
Types Of Pollutants
Their Sources And Impacts
Standards And Limits.
UNIT 10: HIGHWAY
ENGINEERING:
IRC Standards
Geometric Design Of Highways
Materials
Construction And Maintenance
Testing And Specifications Of Materials
Design Of Flexible And Rigid Pavements
Traffic Characteristics
Theory Of Traffic Flow
Intersection Design
Traffic Signs And Signal Design
Highway Capacity
Importance Of Surveying
Principles And Classification
Mapping
Coordinate System
Map Projections
Measurements Of Distance And Directions
Leveling
Theodolite Traversing
Errors And Adjustments
Curves
Syllabus for
Mechanical: GO through all the units
UNIT 1:
ENGINEERING MATHEMATICS:
Linear Algebra
Calculus
Differential equations
Probability and Statistics
Numerical Methods
UNIT 2: APPLIED
MECHANICS AND STRENGTH OF MATERIALS:
Engineering Mechanics
Strength of Materials
UNIT 3: THEORY OF
MACHINES AND DESIGN:
Theory of Machines
Vibrations
Design of machine elements
UNIT 4: FLUID
MECHANICS AND HYDRAULIC MACHINERY:
Fluid Mechanics
Bernoulli's equation
Peltonwheel
Francis and Kaplan turbines
Velocity diagrams
UNIT 5: HEAT
TRANSFER:
Heat Transfer
Thermal boundary layer
Heat exchanger performance
LMTD and NTU methods
UNIT 6:
THERMODYNAMICS:
Thermodynamics
Power Engineering
UNIT 7:
MANUFACTURING ENGINEERING:
Engineering Materials
Metal Casting
Forming
Joining
UNIT 8: MACHINING
AND MACHINE TOOL OPERATIONS:
Machining and Machine Tool Operations
Metrology and Inspection
Computer Integrated Manufacturing
UNIT 9: PRODUCTION
PLANNING AND CONTROL:
Production Planning and Control
Inventory Control
Deterministic and probabilistic models
Safety stock inventory control systems
UNIT 10:
OPERATIONS RESEARCH:
Operations Research
Simple queuing models
PERT and CPM
Electronics and
Electronics Engineering Syllabus:
UNIT 1:
ENGINEERING MATHEMATICS:
Linear Algebra:
Matrix Algebra, Systems of Linear equations, Eigen Values
and eigen vector.
Calculus: Mean Value Theorems, Theorems of integral Calculus
Evaluation of definite and improper integrals, Partial Derivatives, Maxima and
minima, Multiple integrals, Fourier series.
Vector identities, Directional derivatives, Line, surface
and Volume integrals, Stokes, Gauss and Green's theorems.
Differential equations: First order equation (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 problem, Partial Differential Equations
and variable separable method.
Complex variables: Analytic functions, Cauchy's
integral theorem and integral formula, Taylor's and laurent's series, Residue
theorem, solution integrals.
Numerical Methods: Solutions of nonlinear algebraic
equations, single and multistep methods for differential equations
Transform Theory: Fourier transform, Laplace
transform, Ztransform.
UNIT 2: ELECTRIC
CIRCUITS AND FIELDS:
KCL, KVL
Node And Mesh Analysis
Transient Response Of Dc And Ac Network
Sinusoidal Steady
State Analysis
Resonance
Ideal Current And Voltage Sources
Thevenin's Norton's And Superposition And Maximum Power
Transfer Theorems
Three Phase Circuits
Gauss Theorem
Electric Field And Potential Due To Point
Line
Plane And Spherical Charge Distributions
Ampere's And BiotSavart's Laws
Inductance
Dielectrics
Capacitance
UNIT 3: DIGITAL
SIGNAL PROCESSING:
Representation of continuous and discretetime signals
Shifting and scaling operations
Linear
Timeinvariant and causal systems
Fourier series representation of continuous periodic signals
Sampling theorem
Fourier
Laplace
Z transforms
UNIT 4: ELECTRICAL
MACHINES:
Single Phase Transformer
Equivalent Circuit
Phase Diagram
Tests
Regulation And Efficiency
Three Phase Transformers
Connections
Parallel Operation
Autotransformer
Energy Conversion Principles
DC Machines  Types, Windings, Generator Characteristics,
Armature Reaction And Commutation
Starting And Speed Control Of Motors
Three Phase Induction Motors  Principles, Types,
Performance Characteristics, Starting And Speed Control
Single Phase Induction Motors
Synchronous Machines
Performance
Regulation And Parallel Operation Of Generators
Motor Starting
Characteristics And Applications
Special Electrical Machines
UNIT 5: POWER
SYSTEMS:
Basic Power Generation Concepts
Transmission Line Models And Performance
Cable Performance Insulation
Corona And Radio Interference
Distribution Systems
Per – Unit Quantities
Bus Impedance And Admittance Matrices
Load Flow
Voltage Control
Power Factor Correction
Economic Operation
Symmetrical Components
Fault Analysis
UNIT 6: PROTECTION
AND SWITCHGEAR:
Principle Of Over
Current
Differential And Distance Protection
Solid State Relays And Digital Protection
Circuit Breakers
System Stability Concepts
Swing Curves And Equal Area Criterion
High Voltage Generation And Measurements
UNIT 7: CONTROL
SYSTEM:
Principle And Feedback
Transfer Function
Block Diagrams
Steady
State Errors
Routh And Nyquist Techniques
Bode Plots
Root Loci
Lag
Lead And LeadLeg Compensation
UNIT 8: ELECTRICAL
AND ELECTRONICS MEASUREMENTS:
Bridges And Potentiometers
PMMC
Moving Iron
Dynamometer And Induction Type Instruments
Measurement Of Voltage
Current
Power
Energy And Power Factor
Instruments Transformers
Phase
Time And Frequency Measurement
QMeters
Oscilloscopes
Transducers And Data Acquisition Systems
UNIT 9: ANALOG AND
DIGITAL ELECTRONICS:
Characteristics Of Diodes
BJT
FET
Amplifiers  Biasing
Equivalent Circuit And Frequency Response
Oscillators And Feedback Amplifiers
Operational Amplifiers Characteristics And Applications
Simple Active Filters
Vcos' And Timers
Combinational And Sequential Logic Circuit
Multiplexer
Schmitt Trigger
Multi Vibrators
Sample And Hold Circuit
A/D And D/A Convertors
8085 And 8086 – Microprocessor
8051 Microcontroller Basics
Architecture
Programming
Interfacing
UNIT 10: POWER
ELECTRONICS AND DRIVES:
Semiconductor Power Diodes
Transistors
Thyristors
Triacs
Mosfets And Igbtsstatic Characteristics And Principles Of
Operation
Triggering Circuit
Phase Control Rectifiers
Bridge Converters
Fully Controlled And Half Controlled
Principles Of Choppers And Inverters
Basic Concepts Of Adjustable Speed Dc And Ac Drives.
TRB Polytechnic
Syllabus for ECE:
ELECTRONICS AND COMMUNICATION ENGINEERING
UNIT 1:
ENGINEERING MATHEMATICS:
Linear Algebra
Differential equations
Complex variables
Probability and Statistics
Numerical Methods
UNIT 2: NETWORKS:
Graphs Theory
Linear constant coefficient differential equations
Laplace transform
State equations for networks
UNIT 3:
ELECTROMAGNETICS:
Elements of vector calculus
Electrostatic Fields: Coulomb's Law, divergence and curl,
Gauss' and Stokes' theorems;
Magnetic Fields: BiotSavat's Law, Ampere's circuital Law,
Faraday's Law, Maxwell's equations, Poynting vector
Waveguides: TE and TM modes in rectangular and circular
waveguides; boundary conditions
Transmission lines: characteristic impedance; impedance
transformation; Smith chart; impedance matching; S parameters, pulse
excitation. Fundamentals and Parameters of VHF and UHF antennas and Wave
Propagation; RF and Microwave circuits and systems.
UNIT 4: ELECTRONIC
DEVICES AND CIRCUITS:
Energy Bands, Carrier Transport In Silicon
Generation And Recombination Of Carriers
PN Junction Diode
Zener Diode
Tunnel Diode
BJT, JFET
MOS Capacitor
MOSFET
LED
PIN And Avalanche Photo Diode
Lasers; Device Technology Of Integrated Circuits
Small Signal Equivalent Circuits Of Diodes
BJTS, Mosfets And Analog CMOS
Biasing And Bias Stability Of Transistor And FET Amplifiers
Rectifiers And Power Supplies
Feedback Amplifiers And Oscillators
Tuned Amplifiers
Multivibrators
Operational Amplifiers And Its Applications
Function Generators And WaveShaping Circuits
555 Timers
UNIT 5: DIGITAL
CIRCUITS:
Boolean Algebra
Minimization Of Boolean Functions
Logic Gates
Combinatorial Circuits
Arithmetic Circuits
Code Converters
Multiplexers
Decoders
Proms And Plas
Sequential Circuits: Latches And FlipFlops, Counters And
ShiftRegisters
ADCS, DACS
Semiconductor Memories
Microprocessors (8085 And 8086)
Microcontrollers (8051 And PIC): Architecture, Programming,
And Applications
UNIT 6: CMOS VLSI
SYSTEMS MOSFET's:
Switches, Basic logic gates in CMOS, CMOS layers, CMOS
inverter, Dynamic CMOS, Floor planning and Routing, Low power design,
Reliability and testing of VLSI circuits, CMOS clocking and testing;
Structural Gate Level Modeling; Switch Level Modeling;
Behavioral and RTL Modeling — Multiplier, encoders,
decoders, flip flops, registers; arithmetic circuits in CMOS VLSI.
UNIT 7: SIGNAL
PROCESSING:
Definitions And Properties Of Laplace Transform
ContinuousTime And DiscreteTime Fourier Series
ContinuousTime And DiscreteTime Fourier Transform
DFT And FFT
ZTransform
Sampling Theorem
Linear TimeInvariant (LTI) Systems: Signal Transmission
Through LTI Systems.
Infinite Impulse Response Filters
Finite Impulse Response Filters
Quantization Effects And DSP Architecture
UNIT 8: CONTROL
SYSTEMS:
Basic control system components; Open loop and closed loop
systems and stability analysis of these systems.
Signal flow graphs and their use in determining transfer
functions of systems; transient and steady state analysis of LTI control
systems and frequency response.
Tools and techniques for LTI control system analysis: root
loci, RouthHurwitz criterion, Bode and Nyquist plots.
Control system compensators: elements of lead and lag
compensation, elements of ProportionalIntegralDerivative control.
UNIT 9: ANALOG AND
DIGITAL COMMUNICATION SYSTEMS:
Random signals and noise theory: Amplitude, Angle and Pulse
modulation and demodulation systems, superheterodyne receivers; signaltonoise
ratio; Pulse code modulation; differential pulse code modulation;
Digital modulation schemes: amplitude, phase and frequency
shift keying schemes (ASK, PSK, FSK), Error Control Coding. Satellite
Communication; Fundamentals of information theory and channel capacity theorem.
UNIT 10: COMPUTER
COMMUNICATION:
Data Communication: OSI reference model; Modems;
Error detection and Correction; Data link control and Protocols; Local Area
Networks and Metropolitan Networks; Wide Area Networks;
Cloud Computing: architecture, services
Mobile Communication: architecture, structure; OFDM
principle; Basics of TDMA, FDMA; CDMA, GSM, GPRS and WiMax.
TN TRB Recruitment Exam Pattern:
Subjects
Name

Time
Duration

Max
Question

Max
Marks

Main Subject

3 Hours

100

100

40

80


General Knowledge

10

10


Total

150

190

Polytechnic Entrance Exam Pattern:
S.
No.

Subjects
Name

Max
Ques

1

Maths

60

2

Physics

30

3

Chemistry

30

Total

120

UP Polytechnic Syllabus:
Group
Wise

Up
Polytechnic Syllabus

Group ‘A’

Physics
Chemistry
Mathematics subjects

Group ‘B’

This will contain two sections. First section is of Physics or
Chemistry or Agriculture and second section is of Mathematics

Group ‘C’

Hindi
English Comprehension,
Reasoning and Intelligence & General Awareness

Group ‘D’

Hindi and English Comprehension
Reasoning and Intelligence
Numerical Ability
General Awareness

Group ‘E’

Physics and Chemistry,
Biology or Mathematics

Group ‘F’

Physics
Biology
Botany

Group ‘G’

English Comprehension
Numerical Ability
Reasoning
General Intelligence
General Awareness

Group ‘H’

Reasoning and Logical Discussion
Numerical Ability
Scientific Aptitude
English
General Knowledge

Group ‘I’

Physics
Chemistry & Mathematics

Group ‘J’

English Comprehension
Numerical Ability
Reasoning
General Intelligence
General Awareness

Group ‘K’

Physics, Chemistry and Mathematics
Engineering

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