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.
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.
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.
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.
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.
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.
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.
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.