The questions will be set based on the prescribed diploma syllabus of The West Bengal State Council of Technical Education on the following six subjects
- Matrix - Definition - Order of a matrix - Leading element - Principal diagonal. Types of matrices - Null matrix -
- Square matrix - Identity matrix - Upper and lower triangular matrix - Symmetric matrix.
- Determinant of a square matrix - Minors and cofactors – Procedures for evaluation Properties of determinants (no deduction) Evaluation of determinant by Ohio's method (4th order) - Problems.
- Concept of vector -Addition and subtraction of vectors - Multiplication of a vector by a scalar - Position vector of a point - Ratio formula - Rectangular resolution of a vector - Dot and cross product - Geometrical interpretation -Distributive law -Applications.
- Meaning of interpolation - Difference table - Newton's forward Interpolation formula (no deduction) – Problems.
- Introduction to numerical integration - Formulae for composite trapezoidal and Simpson's 1/3 Related problemsrule (no deduction)
- Numerical solution of non-linear equations - Formula for Newton-Raphson method (no deduction) - Problems.
- Numerical solution of system of linear equation - Gauss-Elimination Method (no deduction) - Problems.
- • Definition - Order and degree of a differential equation - Differential equations of 1st order and 1st degree -Separation of variables - Problems.
- • Homogeneous differential equations - Equations reducible to the homogeneous form - Problems.
- • Exact differential equations - equations reducible to the exact form - problems Linear equations - Bernoulli's equations
- • Differential equations of 2nd order with constant co-efficient - Complementary function and particular integral -Problems.
- Function of two or more variables - Definition and meaning of partial derivatives (1st order). Homogeneous functions - Euler's theorem on homogeneous functions (no deduction) – Problems Probability and Statistics
- Introduction - Random experiment - Sample space - Events Classical and axiomatic definition of probability Addition and multiplication theorem - Related problems. Statistics - Frequency distribution.
- Measure of central tendency - Mean - Median - Mode - Standard deviation - Simple problems
Electrical Technology (For All Branches)
Kirchoff’s voltage and current laws, Star-delta transformations - Simple problems on all topics.A. C. Fundamentals
Concept & significance of R.M.S. value, peak value, average value, crest factor and form factor of sinusoidalVoltage/current - Equation of instantaneous value of sinusoidal voltage/current - Simple problems on all.A, C. Series Circuit
R-L & R-C A.C. series circuit (no deduction, only the expressions of voltage, current &power for sinusoidal sources), power factor, power triangle simple problemsStorage Cell, Transformer, Motors Etc.
Basic Principle! Of: Storage cell, DC. Motors, Transformer, A.C. generators & motors (No deduction & problems).Magnetic Circuit
Concept on magnetic circuit, Definitions and units of magnetic flux, m.m.t. and reluctance, analogy with electrical circuit, simple problems.Motor Starter
Need of motor starter mentioning some names useful for D.C. motors & A.C. motors.Motors For Industrial Uses
Simple Electrical Circuit for motor installation, using block diagram of different components.Power Generation, Transmission & Distribution
Brief idea about the power generation, transmission and distribution using block diagram of different stages.Voltage Stabiliser & Ups System
Brief idea about the operational principle of voltage stabilizer and UPS system (no description of internal circuit)House Wiring
Simple idea house wiring starting from commencement of supply, using necessary diagram, role of fuses / MCB, fault finding & earthing concept.Lighting Schemes
Types of lighting scheme and factors considered for designing lighting schemes i.e. illumination level, uniformity of illumination, colour of light, glare, mounting height, spacing between luminaries, colour of surrounding walls etc.Wattmeter & Meggar
Uses & connection diagram of Wattmeter - Use of Meggar with circuit diagram.Electrical Energy Measurement
Electrical energy measurement (no mathematical deduction & description of apparatus) - circuit diagram for single phase energy-meter connection.
Computer Applications & Programming (For All Branches)
Module 1 — Introduction To Computer
1.1 Brief history of evolution of computers
1.2 Various components of computer (brief knowledge)
1.3 Hardware-CPU, inputs output system, primary memory, and secondary memory.
1.4 Peripherals devices - Printers, plotter, scanners, digitals cameras, and web cam sound card & speaker systems, dicta phone
1.5 Software Operating system, system software like compilers and device drivers, and various Application software (definitions only).Module 2—Information Representation
2.1 Number System: Binary, Octal & Hexadecimal
2.2 Conversion of number systems, signed and unsigned representation
2.3 Binary arithmetic & compliments,
2.4 Character codes: ASCII. BCD & Gray codesGroup - B - Software Concepts
Module 3—Basic Of Software
3.1 Classification of Software systems-system software and application software.
3.2 Basic concepts of compilers, interpreters, assemblers and device drives
3.3 Operating system - Single user, multi user, and graphical user interfaces and characters user interfaces.
3.4 Case studies: MS-DOS, WindowsGroup - C — Introduction To Programming
Module 4 — Introduction To Programming
4.1 Algorithm and flowchart
4.2 Different types of programming languages - machine level, assembly level and high-level languages (basic concepts only)
4.3 Brief introduction to different high-level languages including C
4.4 Basics of C-Language
4.5 Branching and loping statements
4.6 Arrays and user-defined functionsGroup - D — Computer Networking And Internet
Module 5 - Computer Networking And Internet
5.1 Basics of Computer Networking - LAN, MAN, WAN (definitions only)
5.3 Client - Server architecture (elementary level)
5.3 Internetworking concepts of World Wide Web, domain name system emails
5.4 Web browsing, use of search engines, web site hosting (elementary level)
Environmental Engineering (For All Branches)
Man & Environment. Overview (socio-economic structure & occupational exposures) - Scope of Environmental Engineering - pollution problem due to urbanization & industrialization.Air Pollution
Causes of air pollution - types & sources of air pollutants - Climatic & Meteorological effect on -air pollution concentration -formation of smog & fumigationAnalysis Of Air Pollutants
Collection of Gaseous Air Pollutants - Collection of Participate Pollutants -Analysis of Air Pollutants like: Sulphur-dioxide - Nitrogen oxide - Carbon monoxide -Oxidants & Ozone - Hydrocarbons - Particulate MatterAir Pollution Control Measures & Equipment
Control of Particulate Emission - Control of Gaseous Emission - Flue Gas Treatment Methods: Stacks Gravitational and Inertia! Separation. Settling Chambers, Dynamic Separators. Cyclones Filtration, Liquid Scrubbing. Spray Chambers. Packed Towers. Orifice and Venturi Scrubbers, Electrostatic Precipitators. Gas/ solid Absorption, Thermal Decomposition.Methods & Approach Of Air Pollution Control
Controlling smoke nuisance — Develop air quality criteria and practical emission standards — creating zones suitable for industry based on micrometeorology of air area — introducing artificial methods of removal of particulate and matters of waste before discharging to open atmosphereWater & Environment Water Sources
Origin of waste water — Type of water pollutants and their effectsDifferent Sources Of Water Pollution
Biological Pollution (point & non-point sources) - Chemical Pollutants: Toxic Organic & Inorganic Chemicals - Oxygen demanding substances - Physical Pollutants: Thermal Waste - Radioactive waste – Physiological Pollutants: Taste affecting substances - other forming substancesWater Pollution & Its Control
Adverse effects on: Human Health & Environment, Aquatic life, Animal life, Plant life — Water Pollution Measurement Techniques - Water Pollution Control Equipment & Instruments - Indian Standards for Water Pollution ControlSoil, Polluting Agencies & Effect Of Solution
Liquid & Solid Wastes - Domestic &industrial Wastes - Pesticides - Toxic: Inorganic & Organic Pollutants – Soil Deterioration - Poor Fertility, Septicity. Ground Water Pollution, Concentration of Infecting Agents in SoilSolid Waste Disposal
Dumping domestic & Industrial Solid Wastes: Advantages & Disadvantages -incineration: Advantages &Disadvantages - Sanitary Land Field: Advantages & Disadvantages - Management of Careful & Sanitary Disposal of Solid WastesNoise & Environmental Management System Noise Pollution & Control
Noise Pollution: Intensity, Duration - Types of Industrial Noise - ill effects of Noise -Noise Measuring & Control - Permissible Noise LimitsEnvironmental Legislations, Authorities & Systems
Air & Water Pollution Control Acts & Functions of State / Central PollutionRules (Salient Features only) Control Boards - Environmental Management System ISO 14000 (Salient Features only).
Engineering Mechanics (For All Branches Except Printing)
Concept of Engineering Mechanics - Statics & Dynamics - Scalar Quality -Vector Quality-Addition & Subtraction of Vectors- Basic units- Derived Units-SI units-Principles of dimensional homogeneity.Module 2: System Of Forces
Definition of a force with explanation - Linear representation of force - System of co-planar forces – Parallelogram Law of Forces - Composition and Resolution -Transmissibility of forces - Action and Reaction - Triangle Law &Polygon Law of forces - Determination of Resultant by Analytical and graphical method with equalitarian space diagram - Vector diagram.Module 3: Moments & Couples
Definition of moment of a force about a point - Physical significance of moment -Moment of a system of parallel and inclined forces - Varignon's Theorem -Definition of moment of a couple - Physical significance of Couples Equivalent couples -Resultant of any number of coplanar couples - Replacement of a force about a point by an equal like parallel force together with a couple -Properties of couples.Module 4: Condition Of Equilibrium
Lami's Theorem - Triangle Law & Polygon Law of equilibrium - Conditions of equilibrium of co-planer system of concurrent forces - Conditions of equilibrium of co planar system of non-concurrent parallel forces (like & unlike) - Conditions of equilibrium of co-planar system of non-concurrent non-parallel forces (simple problems excluding statically in determinant).Group-B Module 5: Friction
Definition - Useful and harmful effects of friction - Laws of Static friction - Coefficient of friction - Angle of friction -Angle of repose - Equilibrium of a body on a rough inclined surface with and without external force.Module 6: Centre Of Gravity
6.1 Concept & definition - Centre of mass - Centroid
6.2 Methods of finding out centroids of simple area by:
(i) Geometrical consideration and (ii) Method of Moments.
[** Method of integration should be learnt in Strength of materials on 2nd Semester]
Finding the centroid of the following areas by any method:
(i) uniform triangular lamina, (ii) uniform rectangular lamina, (iii) uniform circular lamina,
6.3 Finding the centriod of the following sections using the method of moment:
(i) T-section, (ii) equal and unequal angle-sections, (iii) equal and unequal l-sections, (iv) different cut-out sections as shown in the following figures.Module 7: Moment Of Inertia
7.1 Introduction - definition and unit
7.2 M I of a lamina
7.3 Theorems of finding out M I by :(i) Parallel axis theorem, and, (ii) Perpendicular axis theorem.
7.4 Radius of Gyration
7.5 Finding out M I of the following sections using formula only.(i) rectangular section, (ii) Square section , (iii) circular section, (iv) triangular section
7.6 M I of irregular areas such as l-sections, T-sections, - Related simple problems.Module 8: Simple Machines
Definition of Machine - Difference between Machine & Lever - Mechanical Advantage, Velocity Ratio and Efficiency with their relationship - Frictional Effort Load -Condition of reversibility / irreversibility - Law of Lifting Machines - Maximum mechanical advantage - Maximum efficiency - Effort vs. load curve -Efficiency vs. load curve - (Different types o: lifting machine with their mechanical advantage, velocity ratio & efficiency such as wheel and axle (simple & differential), Crab winch (single &double purchase), Weston pulley block, worm & worm wheel, simple screw jack.Group-C Module 9: Rectilinear Motion
Motion equations (with deduction S = V x t: V = u ± f t; S = u. t ± 1/2 f t2: V2 = U2 ± 2 f S) Newton's Second Law of linear motion P - mf (deduction) -Conservation of momentum of a body -No Numerical problemsModule 10: Curvilinear Motion
Angular displacement -Angular speed -Angular velocity- Relation between angular speed & angular velocity - Angular acceleration - Relation between linear & angular velocity - Relation between linear & angular acceleration - Centripetal and centrifugal force (numerical problems)Module-11: Work Power Energy
Definitions, Units, Potential Energy (mgh): Kinetic Energy (1/2 m v2). Laws of conservation of Energy. Change of Kinetic energy-Work done by acting force Simple numerical problems.
Strength Of Materials (All Branches Except Printing)
1.1 Scope of subjects Use of structure, importance of knowledge of stress, strain and deformation in structure, safety and economy.
Engineering materials: Definitions and examples
Mechanical properties of engineering materials: Elasticity, Plasticity, Ductility; Hardness. Fatigue. Creep Brittleness (definition, examples and applications).
1.2 Stress and strain Tensile, Compressive, Shear
1.3 Stress-strain diagram: Principles of tensile testing m universal testing machine's showing salient points such as elastic limit, proportional limit, yield points, breaking points etc., ultimate stress, working stress and factor of safety.
1.4 Stress - Strain relations: Hooke's law, Young's Modulus, Modulus of rigidity, Poission's ratio.Group B Module 2: Shear Force & Bending Moment
2.1 Definition and Types of beams, supports and loads.
2.2 Shear force and bending moment in beams: Definitions, sign conventions and inter - relationships
2.3 Shear force and bending moment diagrams (with simple problems):
(i) Cantilever beams with point loads and Uniformly Distributed Loads (UDL);
(ii) Simply supported beams with point loads and UDL.
(iii) Simply supported overhanging beam with point loadModule 3: Bending Stresses In Beams
3.1 Pure bending of beam: Assumptions, deduction of bending equation with usual notations, moment of resistance, section modulus
3.2 Problems on bending stress about axis parallel to the plane of bending for rectangular circular & l – section.Group —C Module 4: Deflection Of Beams
4.1 Differential equation of elastic curve — Relation among deflection, slope, shear force, bending moment and rate of loading — Sign convention of slope and deflection
4.2 Standard formula (no proof, only simple problems) for maximum slope of deflection of (a) Cantilever beam subjected to point load at free end, uniformly distributed load en entire span; (b) Simply supported beam carrying a point load at mid span, uniformly distributed toad on entire span.Module 5: Columns & Struts
5.1 Definitions of Columns & Struts — Long, Medium & Short columns — Effective Length — Slenderness Ratio— Critical load — Safe load — Different kinds of end conditions — Euler's formula for critical load (no deduction and no problem).
Basic Engineering For Printing (For Printing Technology Only)
Introduction — Elasticity — Stress and Strain.
Types of Stresses: Tensile Stress and Compressive Stress.
Elastic Limit — Hook's' Law — Modulus of Elasticity (Young's Modulus)
Deformation of a body due to Force acting on it — Simple problems.
Principle of Superposition — Simple problems on uniform cross-section.Mechanical Drive
Different types of Mechanical drive and their uses only.
Belt & pulley drive Different types belt and pulley drive — Open belt drive and cross belt drive. Types of belt and types of pulley — Velocity ratio. Simple problems.Gear Drive
Types of gear and their uses. Definition of different parts of Spur gear. Velocity ratio of spur gear. Simple problems.Measuring Instruments
Types of measuring instruments and their uses.
Description, working principle, care & maintenance of Vernier Callipers and outside micrometer.
Reading of Vernier callipers and outside micrometer.Fastening Method
Different types of fastening method with examples Types of nuts, bolts and their uses Welding, Soldering &Brazing and their uses Different types of rivet and riveted joints.
Printers' Material Science (For Printing Technology Only)
Definition of colloid, properties of lyophilic and lyophobic colloids, stability of colloids, protective action of lyophilic colloids, gold number, definition of gel and emulsion, application of colloids, gels and emulsions in printing.Polymers
Uses of natural polymers (casein, cellulose, dextrin, egg albumen gelatine, fish glue, gum Arabic and starch) and synthetic polymers (polyethylene, polypropylene, Teflon, polyvinyl acetate, polyvinyl alcohol, polyvinyl chloride, phenolic resin, amino resin and polyester resin) in printing.Chemistry of photography
Constituents of a photographic emulsion, uses of gelatine, preparation of the emulsion, lattice structure of silver chloride and silver bromide, lattice defects, latent image formation by Gurney- Mott Theory chemistry of photographic development fixing photographic reduction and chemistry intensification, chemical reversal, elementary idea of silverless films.Chemicals required for Image carriers
a) letterpress and flexograqny -photopolymeric stereo making, b) lithography - (graining, coating, developing, etching, lacquering, stencil removing, gumming, desensitising) (i) negative working plates-albumen plate, PS. diazo and photo-polymer plates, driographic (waterless) plate (ii) positive working plates - gum deep etch plate, PS. plate, diffusion transfer plate c) gravure - cylinder making (sensitising, developing, etching, finishing) d) silk screen - (coating, developing, hardening, stencil removing) direct, indirect, direct-indirect and capillary methodSurface tension
Definition, contact angle, choice of metals for image earners on the basis of contact angle, role of surface tension in wetting of the non-image areas of a lithographic plate by water and the image areas by ink.Fountain solution
Constituents, use of each constituent, PH and conductivity,Printing ink
Differences between liquid ink and paste ink, Raw materials of ink colourant (pigment and dyestuff), solvent, plasticiser, resin, oil, drier and additives (wax antioxidant, surfactant), ink strength, ink drying - penetration, oxidation quickset, evaporation, radiation polymerisation (UN and electron beam), IR radiation; rheology of paste inks in terms of viscosity, thixotropy, visco-elasticity, tack, length and flow. Different types of inks - quick set, heat set, moisture set inks, sheet red web fed inks, water-based inks. Characteristics of letterpress, offset, gravure, flexographic and screen inks.Paper
Paper manufacture - sulphate process of chemical pulp preparation, bleaching, beating, internal and external sizing, coating. Paper characteristics paper grain, dimensional strength, paper acidify runnability & printability Requirements of letterpress, lithographic, gravure, flexographic and screen-printing papersAdhesives
Characteristics of class-1, 2 & 3 adhesives, adhesives
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