## Syllabus

### ENGLISH

For English, out of the 10 marks to be awarded, 5 marks will be for questions based on a given passage and remaining 5 marks for basic Grammar and General English of +2 Standard.

### MATHEMATICS

Matrices: Inverse of Matrix-Linear dependence and independence Vectors- Consistency and inconsistency of a system of linear equations-Rank of a matrix. Eigen Values and Eigen Vectors-Properties-Caylay-Hamilton Theories Denationalization-Quadratic forms-Reduction to canonical forms. Differential Calculas: Successive Differentiation-Leibniz Theorem-Indeterminate forms-L’Hospital’s Rule-Radius of curvature-center of curvature-Evolutes partial Differentiation-Homogeneous functions Euler’s Theorem-Maxima and Minima oftwo variables. Infinite Series:Notions of Convergence and divergence-Comparison test-Ratio test-Cauchy’s Root test-Test for alternating series-absolute convergence. Fourier Series:Even functions ,Odd functions , periodic functions-Dirichlet’s condition- Euler’s formula . Functions with period 2π and 2l . Half range sine and cosine series.Laplace transforms –properties-Inverse Transforms.

### ENGINEERING MECHANICS

Units-Dimensions-Vector & scalar quantities-laws of mechanics –Elements of vector algebra-Principals of statics –freebody diagram –composition & resolution of & equilibrant – concurrent forces –tringular forces –Lami’s theorems – center of gravity– Moment of inertia – Coplannar forces –Friction. Plane trusses – Different types of support – Reaction at supports – Methods of sections – funicular polygen – Maxwells diagram – couples in space – Equilibrium of general system of force in space. Kinematics of a particle – simple relative motion –definition of particle –velocity and acceleration – transaction and rotation – rectangular and cylindrical coordinates –particle dynamics –central force motion.

Principles of dynamics – motion of a particle acted by a constant 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 pendulam –Collision of bodies.

### COMPUTER SCIENCE AND INFORMATION TECHNOLOGY

• 1. computer organization:- Central processing unit , input device , output device ,secondary storage device , machine language , assembly language and highlevel language
• 2. System software:- Assembler ,loader ,linker , operating system , editors ,,compilers , debuggers.
• 3. Computer programming ( inC 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 System ,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 webservers.

### BASIC CIVIL ENGINEERING

Materials- cement-steel- aggregates- mortar preparation- concrete- grades of concrete water-cement ratio-Work ability-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 Simpsons 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 entropy, and change in internal energy during the above processes. Air cycles- Carnot, Otto and Diesel cycles- air standard efficiency.Working and comparison of two stroke and four stroke petrol and diesel engines various systems- air systems, 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- impulse and reaction type– parts of turbines, compounding of turbines.

#### Pumps:

Types – Centrifugal, reciprocating, gear and jet – applications- criteria for choice of pumps. Refrigerations and Airconditioning: Simple vapour compression and vapour absorption refrigeration systems –Refrigerants. Psychometry- 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, stanping, coining, rolling, extrusion, wired rawing, turning, boring, thread cutting, tapping, shaping, drilling, milling, reaming,grinding, broaching, honing, lapping, welding, soldering and brazing.

### BASIC ELECTRICAL ENGINEERING

SI unit of current, voltage, power and energy – Ohm’s law- temperature coefficient of resistance-Kirchoff’s law- 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- solutions 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 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- Principles 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- loser 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- vapor lamps- incandescent lamps- energy efficient lamps- control accessories of vapor 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 –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

• 1.Passive components: Resistors – types, color coding, power rating ,Capacitors –types , color coding,Voltage rating, Inductor 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 configuration , FET,Zener diods, SCR . photodiods , phototransistors, LED.
• 5.Amplifiers: The CE, CB and CC amplifiers, Frequency response, and power amplifier – single ended power amplifier , push pull amplifier.
• 6.Oscillactor: Feedback principles, RC and LC Oscillators
• 7.Digital circuits: Logical states, Number codes, Gates and truth tables. TTl and CMOS logic identifiers, Function minimization, Multiplexer, Demultiplexer, Decoders,Flip-Flops, RS, Jk,Master slave JK,D and T, Counters, Shift registers, ADCS.