SYLLABUS FOR LEET KERALA
SCHEME AND SYLLABUS |
The Examination is Objective type with 120 Questions to be attempted in 2 Hrs. The subjects |
include English, Mathematics, Engineering Mechanics, IT and Computer Science, Civil |
Engineering, Mechanical Engineering, Electrical Engineering and Electronics & Communication |
Engineering. |
ENGLISH |
SYLLABUS |
For English, out of the 10 marks to be awarded, 5 marks will be for questions based on a given |
passage and the remaining 5 marks for Basic Grammar and General English of +2 Standard. |
MATHEMATICS
SYLLABUS
Matrices:
Inverse of a Matrix-Linear Dependence and Independence of Vectors-Consistency and inconsistency
of a system of linear equations-Rank of a matrix. Eigen Values and Eigen Vectors- Properties-
Caylay-Hamilton Theories-Diagonalisation-Quadratic forms -Reduction to Canonical forms.
Differential Calculus:
Successive Differentiation-Leibnitz Theorem-Indeterminate forms-L' Hospital's Rule-Radius of
curvature-centre of curvature-Evolutes Partial Differentiation-Homogeneous functions Euler's
Theorem-Maxima and minima of functions of two variables.
Infinite Series:
Notions of Convergence and Divergence-Comparison test-Ratio test-Raabe's test-Cauchy's Root
test-Test for alternating series-absolute convergence.
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Fourier Series:
Even functions, odd functions, periodic functions-Dirichelet's condition-Euler’s formula. Functions
with period 2
ENGINEERING MECHANICS
SYLLABUS
Units-Dimensions-Vector & scalar quantities-Laws of mechanics-Elements of vector algebra-
Principles of Statics-Freebody diagram-Composition & resolution
of forces-Resultant of &
equilibrant – Concurrent forces-Tringular forces- Lami’s theorem- Centre of gravity- Moment of
inertia-Coplannar forces-Friction.
Plane trusses-Different types of support-Reactions at supports-Method of joints-Method of sections-
Funicular polygon-Maxwell diagram-Couples in space-Equilibrium of general system of forces in
space.
Kinematics of a particle-Simple relative motion-Definition of particle-Velocity and acceleration-
translation and rotation-Rectangular and cylindrical coordinates-particle dynamics-Central force
motion.
Principles of dynamics-Motion of a particle acted by a constant force-Force as a function of time-
Force proportional to
displacement-Free vibrations-D’ Alemberts principle-Momentum and
impulse-Work and energy-Ideal system-Conservation of energy-Impact-Curvilinear motion-
Projectiles-Rotation – Torsional vibration-Simple and compound pendulum-Collision of bodies.
COMPUTER SCIENCE AND INFORMATION TECHNOLOGY
SYLLABUS
1.
Computer organization:- Central processing unit, memory, input devices, output devices,
secondary storage devices, machine language, assembly language and high level language.
2.
System
software:- Assembler, loader, linker,
operating
systems, editors, compilers,
debuggers.
3.
Computer programming (in C language):- Data types, type conversion, simple and
compound statements, usage of standard library, control structures, functions, arrays,
pointers, structure, file handling.
4.
Data base systems:- Relational Data Base Management Systems, SQL.
5.
Multimedia-Multimedia hardware, sound cards, CD ROMS, full motion Digital video.
6.
Computer networks:- ISO/OSI protocols, TCP/IP, Inter connecting network devices,
Ethernet cards, cables, Connectors, hubs, switches, routers.
7.
Internet:- Introduction to FTP, TELNET, Email, web browsers and Web servers
BASIC CIVIL ENGINEERING
SYLLABUS
Materials-cement-steel-aggregates-mortar preparation-concrete-grades of concrete-water-cement
ratio-Workability-batching-Mixing-Compaction-Curing-Strengths in concrete-Timber-Defects of
timber-Seasoning-Bricks-Varieties.
Selection of site of a building –Setting out-Excavation – Types of foundation-Bearing capacity-
masonry-Materials – Types –Stone Masonry-Brick masonry-Bond in brick-Special bricks-Arches-
Cavity walls –Hollow block-Plastering-Painting.
Doors-Windows-Flooring –Preparation of bed-Laying floor finish-Various floor finish materials-
Roofs-Different types-Roof covering materials-Precast and prestressed construction.
Methods of surveying-Chain-Compass-Plane table –Theodolite- Areal - Hydrographic-
Measurement of distance-elementary idea of total station-Errors in chaining –Tape correction-
Setting out right angles-Leveling –Types of levels-Reduction of level- Computation of area and
volume-Trapezoidal and Simpson’s rule.
MECHANICAL ENGINEERING
SYLLABUS
Thermodynamics :
Definitions and basic concepts- system, properties, state, process, cycle – heat and work –
thermodynamic equilibrium. Zeroth law of thermodynamics – concept of temperature – temperature
scales. First law of thermodynamics – concepts of internal energy and enthalpy. Second law of
thermodynamics- Clausius and Kelvin –Plank statements- concept reversibility, availability and
entropy. Thermodynamic processes-constant volume, constant pressure, isothermal, adiabatic,
polytropic processes, throttling and free expansion, p-v and T-s diagrams- work done, heat
exchanged, change in internal energy and change in entropy during the above processes. Air cycles
– Carnot, Otto and Diesel cycles- air standard efficiency.
IC engines:
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Working and comparison of two stroke and four stroke petrol and diesel engines – various systems –
air system, fuel system, ignition system, governing system.
Steam Boilers and Turbines:
Properties of steam- dryness fraction, enthalpy, entropy. Classification of boilers, Boiler mountings
and accessories. Types of steam turbines- simple impulse and reaction type - parts of turbines,
compounding of turbines.
Pumps:
Types - centrifugal, reciprocating, gear and jet – applications – criteria for choice of pumps.
Refrigeration and Air Conditioning:
Simple vapour compression and vapour absorption refrigeration systems - Refrigerants.
Psychrometry – definitions of terms. Air conditioning – parts of an A/C unit.
Mechanical power transmission systems:
Belt drive- parts, different types- rope drive, chain drive- types, gear drives – types –spur, helical,
herring bone, bevel, spiral, skew, hypoid, worm and wheel, rack and pinion. Velocity ratio,
comparison and fields of application. Gear trains-simple, compound and epicyclic.
Manufacturing processes:
Primary, secondary and tertiary production processes - moulding, sand casting, die casting, forging,
punching, blanking, stamping, coining, rolling, extrusion, wire drawing, turning, boring, thread
cutting, tapping, shaping, drilling, milling, reaming, grinding, broaching, honing, lapping, welding,
soldering and brazing.
BASIC ELECTRICAL ENGINEERING
SYLLABUS
SI unit of current, voltage, power and energy-Ohm’s law-temperature coefficient of resistance-
Kirchoffs laws-solution of series, parallel circuits-Star Delta transformation-magnetic circuits-flux-
flux density-mmf-magnetizing force Reluctance-permeability-comparison of Electric and Magnetic
circuits-Magnetic leakage-B.H.characteristics-solution of series and parallel magnetic circuits-force
experienced by a current carrying conductor in a magnetic field-Electromagnetic induction-
Faraday’s laws-Lenz’s Law-statically induced emf-Dynamically induced emf-self and mutual
induction-coefficient of coupling.
Alternating current fundamentals-Generation of alternating currents-wave forms-frequency-period-
average value-rms value and form factor. Phasor representation of alternating quantities rectangular
and polar form-Analysis of simple ac circuits with resistance inductance and capacitance-concept of
impedance and admittance-power and power factor in ac circuits-active and reactive components-
solution of RL, RC and RLC circuits-series, parallel and series parallel circuits-Resonance-Q factor-
selectivity and bandwidth.
Electrical Drives-principle of operation of ac and dc motors-mechanical characteristics and
application of dc series, shunt and compound motors-single phase and three phase induction motors-
synchronous motors-Transformer-Principle of operation-emf equation-Ideal transformer-
constructional details-losser and efficiency-Use of power, distribution and instrument transformers.
Different methods of wiring for LT installations, Schematic layout of LT switch boards-Earthing of
installation-necessity of earthing-plate and pipe earthing-Protective fuses, MCBs, ELCB-Tariffs-
Types of LT and HT consumers.
Characteristics of different types of lamps-vapour lamps-incandescent lamps-energy efficient lamps-
control accessories of vapour lamps.
Storage batteries-Lead acid and Nickel Cadmium batteries-construction-characteristics-charging and
discharging-specification-maintenance.
Methods of bulk generation of electric power, Block schematic layout of generating station-hydro
electric, thermal, nuclear stations-Non conventional energy sources-solar, tidal, wind-Economics of
generation-load factor-diversity factor-plant factor.
Bulk transmission of electric power-typical power transmission scheme-need for high transmission
voltage-substation-substation equipment, primary and secondary transmission and distribution
systems-effect of power factor, transmission voltages in Kerala.
ELECTRONICS AND COMMUNICATION
SYLLABUS
1.
Passive components: Resistors – types, color coding, power rating, Capacitors – types, color-
coding, voltage rating, Inductors and Transformers: types.
2.
Semiconductors: Crystalline structure – Intrinsic and extrinsic semiconductors, PN
Junctions, Electrical characteristics.
3.
Diodes: Biasing, Rectifier Circuits.
4.
Transistors: NPN and PNP transistors, current flow in a transistor – transistor configurations,
FET, Zener diode, SCR, photodiode, phototransistor, LED.
5.
Amplifiers: The CE, CB and CC amplifiers, Frequency response, and Power amplifier –
single ended power amplifier, Push pull amplifier.
6.
Oscillators: Feedback principles, RC and LC Oscillators.
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7.
Digital circuits: Logical states, Number codes, gates and truth tables. TTL and CMOS. Logic
identities, Function minimization, Multiplexer, Demultiplexer, Decoders, Flip-flops, RS, JK,
Master slave JK, D and T. Counters, shift registers, ADCs.
8.
Electronic Communication: Modulation – AM, FM, Demodulation, Radio receivers,
Transmitters, Television, Radar.
9.
Electronic Instrumentation: Measurement of current, voltage and power, Cathode ray
oscilloscope, Transducers-strain gauges, Thermocouples, Thermistors, RTDS, LVDTs.
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