| Discipline | Syllabus |
| सामान्य हिन्दी (व्याख्याता / कर्मशाला अधीक्षक पद हेतु) | अनेकार्थक शब्द
उपसर्ग एवं प्रत्यय
अशुद्धि-शोधन-वर्तनी-शुद्धि, वाक्य-शुद्धि
तत्सम तद्भव शब्द
शब्द-युग्म, अर्थबोध (शब्दार्थ)
मुहावरे एवं लोकोक्तियाँ
सन्धि, समास
विरामचिह्न
हिन्दी-वर्णविचार-स्वर एवं व्यंजन
पर्यायवाची शब्द
विलोम शब्द
अनेक शब्दों के लिए एक शब्द/वाक्यांश के लिए एक शब्द
कारकचिह्न
हिन्दी-व्याकरण-संज्ञा, सर्वनाम, विशेषण, क्रिया, अव्यय, लिंग, वचन। |
| General Studies | Indian Constitution.
Current events of National and International significance.
History of India.
Geography of India.
Indian Polity and Constitution.
Current events of National and International significance.
History of India: Emphasis should be on general understanding of political, economic and social aspects of Indian History.
Geography of India: Candidates will be expected to have knowledge of the Physical and Human aspects of the Geography of India in general terms.
Indian Polity and Constitution: Candidates are expected to have a basic knowledge and preliminary understanding about Indian Political system |
Mechanical Engineering / Workshop Superintendent | Paper–I Engineering Mechanics (forces, friction, trusses, bending, motion)
Theory of Machines (gears, cams, governors, vibrations, balancing)
Strength of Materials (stress, strain, torsion, bending, columns)
Machine Design (shafts, gears, bearings, joints, fatigue)
Engineering Materials (metals, alloys, heat treatment, testing)
Manufacturing Processes (casting, forming, machining, CNC, jigs & fixtures)
Industrial Engineering (production planning, inventory, CPM/PERT)
Mechatronics & Robotics (PLC, sensors, actuators, robotics basics) Paper–II Thermodynamics (laws, cycles, gases, combustion)
Fluid Mechanics (fluid properties, flow, pipes, shock waves)
Heat Transfer (conduction, convection, radiation, heat exchangers)
Energy Conversion (IC engines, turbines, boilers, renewable energy)
Refrigeration & Air Conditioning (HVAC systems, psychrometry) |
Electrical Engineering | Paper–I Electrical Circuits & Networks
Electromagnetic Field Theory
Basic Electronics
Electrical Measurements
Electrical Machines
Power Systems
Control Systems Paper–II Analog & Digital Electronics
Signals and Systems
Induction & Special Machines
Power System Protection
Power Electronics & Drives
Electrical Materials |
Civil Engineering | Paper–I Engineering Mechanics & Strength of Materials
Structural Analysis
Steel Structures
RCC & Masonry Design
Building Materials & Construction
Construction Management
Geotechnical & Foundation Engineering Paper–II Fluid Mechanics & Open Channel Flow
Hydrology & Water Resources Engineering
Transportation Engineering (Roads, Railways, Airports)
Environmental Engineering
Surveying & Remote Sensing |
Electronic Engineering | Paper–I Electronic Devices & Analog Circuits
Digital Electronics
Network Theory & Machines
Control Systems
Instrumentation
Computer Organization & Embedded Systems Paper–II Electromagnetics
Analog & Digital Communication
Digital Signal Processing
Communication Networks
Random Signals & Information Theory
Microwave, Satellite & Optical Communication |
Chemical Engineering | Paper I Fluid & Particle Dynamics: Fluid properties, laminar/turbulent flow, pumps, compressors, mixing, grinding, filtration, fluidization, solid transport
Mass Transfer: Diffusion, distillation, absorption, extraction, drying, crystallization, adsorption
Heat Transfer: Conduction, convection, radiation, heat exchangers, boiling, evaporation, solar heaters
Advanced Separation Processes: Ion exchange, reverse osmosis, ultrafiltration, supercritical extraction
Process Equipment Design: Storage & pressure vessels, material selection, cost considerations
Process Control & Instrumentation: Measurement instruments, control systems, controllers, stability analysis Paper II Material & Energy Balance: Gas laws, combustion, recycle, energy calculations
Thermodynamics: Laws, phase equilibrium, reaction equilibrium, refrigeration cycles
Chemical Reaction Engineering: Reactor design, kinetics, catalytic reactions
Chemical Technology: Petroleum, polymers, fertilizers, cement, glass, paints, paper
Environmental Pollution Control: Air, water pollution, waste management, safety, laws
Process Economics: Costing, profit analysis, plant layout, PERT & CPM |
Computer Science | Paper I Computer Organization & Architecture
Data Structures & Algorithms
Discrete Mathematics & Logic
Database Management Systems (SQL, NoSQL)
Design & Analysis of Algorithms
Computer Networks (OSI, TCP/IP)
Programming Languages (C, C++, Java)
Software Project Management
Cyber Security & Cyber Laws Paper II Operating Systems & Linux
Computer Graphics
Artificial Intelligence & Machine Learning
Compiler Design
Software Engineering & Testing
Distributed Systems
Web Technologies (Java, JSP, Servlets)
Image Processing
Soft Computing & High-Performance Computing |
Paint Technology | Paper I Surface coatings & raw materials
Material & energy balance
Fluid flow & process control
Inorganic & organic pigments
Natural & synthetic resins
Polymer & pigment technology Paper II Heat & mass transfer
Coating analysis & testing
Paint formulation & manufacturing
Surface preparation & application
Printing inks technology
Industrial, automotive & eco-friendly coatings
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Plastic Mould Technology | Paper I Polymer science basics
Polymer chemistry & thermodynamics
Plastic materials & processing
Polymerization engineering
Mould & die manufacturing
Plastic packaging technology Paper II Additives & compounding
Polymer composites
Polymer characterization techniques
Plastic waste management
Polymer rheology
Applications of polymers |
Textile Technology | Paper I Natural & high-performance fibres
Yarn manufacturing (cotton, wool, silk)
Fabric manufacturing (weaving & knitting)
Textile chemical processing & dyeing
Fibre & yarn testing
Technical textiles Paper II Synthetic & regenerated fibres
Advanced spinning systems
Woven, knitted & non-woven fabrics
Fabric design & textile printing
Finishing processes
Fabric testing & quality evaluation |
Footwear Technology | Paper I UNIT I – Introduction to Leather Technology Proteins & Skin Composition: Fibrous/non-fibrous proteins, keratin, collagen (primary structure, enzyme effects), reticulin, elastin
Pretanning Processes: Soaking, liming, deliming, bating, degreasing, pickling/depickling
Tanning: Vegetable tannins (classification, mechanism), synthetic tannins, chrome tanning (complexes, mechanism), aluminum, zirconium, iron, titanium, sodium silicate, polyphosphates
Leather Chemistry: Color chemistry, dyes, color matching, oils/fats, leather finishes, pigments, binders, lacquers, wax emulsions, silicone emulsions
Tannery Machinery & Effluent: Machinery used, effluent treatment, disposal
Foot Anatomy & Footwear: Anatomy of human foot, footwear making, classification of leather goods UNIT II – Testing & Quality Control Chemical Analysis: Limed/pickled pelt, vegetable/chrome/aluminum/zirconium/formaldehyde/combo tanned leathers
Physical Testing: Sampling, static/dynamic non-destructive testing, color fastness
Standards & Quality Control: Yield, defects, color/finish control, chemical & physical characteristics
Footwear Analysis: Leather product evaluation UNIT III – Leather Products Technology Classification & Material Selection: Leather grading, property requirements, accessories
Cutting & Assembly: Hand/machine cutting, pattern interlocking, skiving, splitting, folding, sewing
Machinery for Leather Goods: Sewing machines, clicking, embossing
Sports Goods & Saddlery: Football, cricket ball, gloves, reins, bridles, saddles, harness
Management: Project feasibility, costing, TQM, market trends UNIT IV – Materials for Footwear Leather: Upper material (natural/man-made), types, properties
Fabric: Upper lining, backer, taping, socking, toe puff, elastic usage
Rubber: Soling material, crepe, molded, vulcanization, polymers
Fibreboard: Insoles, stiffeners, toe puff, paperboard
Synthetic Materials: PVC, PU, TPR, EVA, Filon
Wood & Metal: Heels, shanks, platforms, characteristics
Adhesives: Starch glue, latex, chloroprene, polyurethane, setting time, bonding strength
Grinderies & Fasteners: Eyelets, rivets, nails, shanks, threads, needles
Finishing Materials: Creams, waxes, polishes, glazing materials, binders, resins, plasticizers UNIT V – Fundamentals of Footwear Technology & Design Footwear materials & components, shoe history, styles, fashion trends
Cutting, pre-closing & closing, skiving, edge treatments, ornamentation, reinforcements
Prelasting & lasting, sole attaching, adhesives, heat activation, pressing, quality control
Shoe construction methods: Cemented, Veldschoen, Goodyear welted, Stitch down, Injection molded
Foot anatomy, common foot diseases, international sizing, last design Paper II UNIT I – Site Selection & Machinery Site Selection: Power, transport, market, labor, raw material availability
Footwear Machinery: Pattern making, presses, splitting, skiving, sewing, punching, lasting, sole attaching, finishing machines, spray booths
Maintenance: Preventive, routine, breakdown; lubrication; safety; repair estimation UNIT II – Concept of Footwear Technology Footwear industry overview, historical & modern trends
Upper clicking: Marking, cutting (hand & press), fabric systems (wrap, welt, bias)
Shoe construction: Goodyear welted, cemented, stitched, injection molded, strobel
Bottom preparation: Cutting knives, insole prep, toe puffs, tampering, leather unit soles
Stamping & marking, material estimation, cost calculation UNIT III – Upper Closing & Finishing Upper closing: Pair checking, identification, punching, skiving
Edge treatments: Raw, burnished, folded, bound, gimped, slipbeaded
Ornamentation: Fancy seams, braiding, embroidered lacing
Reinforcements: Taping, backing, stay stitching
Seams & stitches: Plain, lapped, lock, chain, zigzag; threads selection
Finishing operations: Cleaning, trimming, eyeleting, quality checking; operations for different shoe types UNIT IV – Lasting, Making & Finishing Lasting: Awl preparation, stitches, draft principles, welt attaching
Modern constructions: Direct molded, injection molded, cemented shoes
Adhesives & machines for cemented shoes
Finishing: Leather dressing, heel attaching, edge trimming, buffing, inking, lacing
Packing: Individual, transit, export; defect rectification UNIT V – Computer-Aided Design (CAD) Foot anatomy, comfort, common abnormalities, sizing systems
CAD for footwear: Designing, pattern making, grading, allowances
Materials selection: Leather/non-leather components
Cutting, skiving, stitching, closing, finishing operations
Software applications: Input/output, CPU, storage, operating system
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Textile Chemistry | Paper I
1. Fibres Classification: Natural fibres (cotton, jute, linen, wool, silk), properties, production
Identification methods, molecular weight, orientation & crystallinity, Tg & Tm 2. Yarn & Fabric Manufacture Ginning, mixing, carding, drafts, web quality
Draw frame, comber, ring frame, drafting, twisting, winding
Warping, sizing, handloom vs power loom, shuttle vs shuttleless looms 3. Testing Fibre properties: Moisture, length, fineness, tensile, maturity
Yarn properties: Count, strength, tenacity, unevenness, hairiness 4. Preparatory Processes Impurities, singeing, scouring, decatizing, desizing
Bleaching: NaOCl, CaOCl₂, H₂O₂, NaClO₂; batch, semi-continuous, continuous
Mercerization: Physical/chemical changes, efficiency determination 5. Technology of Dyeing Dye classification, theory of dyeing, batch/semi-continuous/continuous
Cellulosic fibres: Direct, reactive, vat, sulphur dyes
Protein fibres: Acid dyes, metal complex dyes, mordanting
Synthetic fibres: Polyester (carrier/HTHP/thermosol), acrylic (basic dye), nylon
Dyeing machinery: Jet, beam, soft flow, infra-red, jigger, continuous ranges
Rectification of dyeing faults, leveling & swelling agents 6. Chemicals & Quality Testing Quantitative chemical analysis, bleaching agent estimation, color fastness (wash, light, rubbing, hot press, perspiration)
Evaluation of wet treatments, chemical auxiliaries, fresh water & effluent analysis, viscosity measurement Paper II 1. Fibres Regenerated & synthetic fibres, polymerization, spinning (melt, dry, wet, dry-jet wet)
High-performance fibres: Manufacture, properties, applications 2. Fabric Testing GSM, thickness, cover, air/moisture permeability, wetting/wicking
Tensile, tear, bursting, abrasion, pilling resistance 3. Dyes & Colour Chemistry Dye classification by chemical constitution: Azo, anthraquinone, acid, vat, reactive, sulphur, metal complex
Chromophores, synthesis of dye intermediates, pigment dyes, optical brighteners 4. Theory of Dyeing & Colour Measurement Diffusion, kinetics, thermodynamics, heat of dyeing, fibre structure effects
Color measurement: Beer-Lambert law, Kubelka-Munk equation, computer-aided color matching 5. Printing Technology Methods: Block, roller, screen, rotary, digital (inkjet), sublimation, foam, tie-dye, batik, transfer
Paste preparation, thickeners, wetting & dispersing agents
Printing on cotton, wool, silk, synthetics, blends
Faults, prevention, print fixation 6. Finishing Technology Mechanical, chemical, thermal finishes
Cotton, wool, silk, linen finishing
Heat setting, anti-crease, wash-n-wear, flame retardant, soil release, water repellency, antimicrobial, nano-finishes
Machines: Mangles, stenters, calenders, decatisers, embossing, sueding, compaction
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Leather Technology | Paper I Unit I – Microscopy and Bacteriology Histology of hides & skins: Cells, tissues, fibers, muscles, glands, epidermis, dermis; differences between buffalo, cow, goat, sheep, reptiles.
Microscopy: Compound microscope (mechanical & optical parts), defects and corrections, preparation of microscopical slides, photomicrography.
Fiber structure & assessment: Orientation, changes during curing, soaking, liming, tanning; optimal fiber conditioning.
Bacteriology: Structure of bacteria, nutrition, metabolism, sterilization, identification, bacterial effects on hides/skins (curing, soaking, liming, bating), disinfectants.
Mycology & Entomology: Fungi in leather processing; parasites & insects affecting hides; prevention.
Leather Biotechnology: DNA/RNA chemistry, enzymes, restriction enzymes, applications in leather. Unit II – Skin Composition, Protein & Pre-Tanning Chemical composition: Fibrous/non-fibrous proteins, lipids, carbohydrates, vitamins, minerals.
Collagen: Primary structure, amino acids, triple helix, aggregation, thermal transitions, denaturation/renaturation, effects of enzymes, reactive groups.
Other skin proteins: Keratin, elastin, reticulin.
Pre-tanning processes: Flaying, curing, soaking, liming, deliming, bating, degreasing, pickling, depickling. Unit III – Inorganic & Organic Tanning Theory of group elements: Chromium, aluminum, zirconium, iron, titanium salts.
Chrome tanning: Complexes, hydrolysis, olation/oxolation, polymerization, masking, mechanisms, parameters.
Vegetable tanning: Mechanism, factors affecting tanning.
Other tanning: Aluminium, zirconium, neutralization, combination tanning, synthetic and aldehyde tanning. Unit IV – Post-Tanning & Finishing Dyeing: Color theory, dye classification, blending, fastness, auxiliaries.
Leather auxiliaries: Fat liquors, pigments, binders, lacquers.
Finishing: Nitrocellulose lacquers, wax, silicone emulsions, waterproofing. Unit V – Leather Processing Processing by skin type: Goat, sheep, exotics (reptile, fur), hair-on tanning.
Product types: Suede, uppers, chamois, printed, embossed, bag, sole, harness, sports goods, gloves.
Upgrading techniques: Retanning, embossing, printing, coating, burnishable & oil pull-up leathers. Paper II Unit I – Analysis of Water & Chemicals Water: Hardness (temporary/permanent), chloride, sulphate, iron.
Chemicals & auxiliaries: Lime, sodium sulphide, aluminium salts, oils/fats, pickles, tanning agents.
Beam house liquor analysis: Soak, lime, pickle liquors. Unit II – Physical, Chemical & Instrument Analysis Chemical analysis: Limed/pickled pelts, various tanned leathers.
Physical testing: Strength, colorfastness, sampling.
Standards & quality control: Yield, defect rectification.
Instrumental methods: Potentiometry, conductometry, spectrophotometry, chromatography, electrophoresis. Unit III – Tannery Pollution & Treatment Effluents & pollution: Types, characteristics, COD/BOD, heavy metals.
Treatment: Primary (screening, equalization), secondary (lagoon, aeration), biotechnological methods.
Effluent disposal & reuse, solid waste management. Unit IV – Leather Trade Engineering Mechanisms & machines: Crank-slide, lever, balancing, vibration, hydraulic/pneumatic systems.
Automation & control: PLCs, safety, drying, mechanization, building maintenance. Unit V – Leather Product Technology & CAD Products: Leather goods & garments, footwear.
Processes: Cutting, skiving, folding, sewing.
Footwear design: Foot anatomy, last measurement, grading.
CAD applications: Software for design, pattern making, material selection.
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Instrumentation and Control | Paper I Basic Circuit Analysis Kirchoff’s laws, mesh/nodal analysis, Thevenin/Norton, three-phase circuits, transient response.
Electronic Devices & Circuits
Diodes, BJTs, FETs, MOSFETs, amplifiers, oscillators, digital logic circuits, flip-flops.
Digital Signal Processing
Signal classification, systems, analog/digital filters, DFT, FIR/IIR realization.
Instrumentation Engineering
Functional elements, calibration, static/dynamic characteristics.
Transducers & Sensors
Resistive, inductive, capacitive transducers; LVDT, strain gauges, temperature, piezoelectric, MEMS, nano sensors.
Industrial & Analytical Instruments
Pressure, flow, temperature, level, pH, conductivity, spectrophotometry, chromatography, NMR, mass spectroscopy.
Microprocessor & Microcontroller
8085/8086, 8051 architecture, programming, peripheral interfacing, A/D-D/A interfacing, applications in closed-loop control. Paper II Control Systems Open/closed loop, modeling, transfer functions, servomotors, block diagrams, root locus, P/PI/PID control, frequency response, stability criteria, state-variable analysis.
Power Electronics
SCR, TRIAC, MOSFET, IGBT, converters, choppers, inverters, SMPS.
Electrical Machines & Drives
DC/AC machines, transformers, induction/synchronous motors, servomotors, drives.
Process Control Instrumentation
Control loops, actuators, controllers, discrete-state systems, tuning methods (Ziegler-Nichols, process reaction curve).
Logic & Distributed Systems
PLC architecture, programming, SCADA, DCS, operator interfaces, communication. |
Physics | Paper I 1. Mathematical Physics Dimensional analysis, vector algebra, tensor concept
Linear ODEs (1st & 2nd order), Special functions: Legendre, Hermite, Bessel, Laguerre
Fourier series, Fourier & Laplace transforms
PDEs: Laplace, wave, heat (2D & 3D)
Probability theory: Random variables, binomial, Poisson, normal distributions, central limit theorem 2. Classical Mechanics & Properties of Matter Newton’s laws, motion of particles & rigid bodies
Center of mass, energy/momentum conservation, central force, Kepler’s laws
Lagrangian, Hamiltonian, canonical transformations, Poisson brackets
Relativity: Galilean & Lorentz transformations, length contraction, time dilation, mass-energy equivalence
Elasticity: Young’s modulus, torsion, bending
Fluid mechanics: Ideal & viscous fluids, surface tension, capillarity 3. Thermodynamics & Statistical Physics Laws of thermodynamics, Carnot cycle, heat engines, refrigerators
Thermodynamic potentials, Maxwell relations
Transport phenomena, Kinetic theory, Blackbody radiation, Planck, Wien, Stefan laws
Statistical ensembles, Maxwell-Boltzmann, Bose-Einstein, Fermi-Dirac distributions
Phase transitions (1st & 2nd order), entropy, Gibbs paradox 4. Optics & Acoustics Geometrical optics: Lenses, eyepieces, defects of vision, telescope, microscope
Interference, diffraction, gratings, resolving power, coherence
Polarization: Malus’ law, Nicol prism, optical rotation, polarimeters
Lasers: Types, pumping, medical applications, holography
Acoustics: Vibrations, wave propagation, resonance, Lissajous figures, velocity of sound Paper II 5. Electromagnetism Electrostatics: Gauss law, electric flux, potential, dielectric sphere, dipole
Magnetostatics: Ampere’s law, Biot-Savart, Lorentz force, cyclotron
Induction: Faraday’s law, Lenz law, self & mutual inductance
Maxwell equations, EM waves, Poynting vector, transmission lines, waveguides 6. Quantum Mechanics Wave-particle duality, uncertainty principle, Schrödinger equation
Eigenvalues & eigenfunctions, particle in a box, potential barriers, harmonic oscillator
Hydrogen atom, spherical harmonics, commutation relations, Pauli spin matrices 7. Atomic, Molecular, Nuclear & Particle Physics Bohr & Sommerfeld models, optical & X-ray spectra, Zeeman, Stark effects
Molecular spectra: rotational, vibrational, Raman
Nuclear physics: Radioactivity, binding energy, fission & fusion, nuclear models
Particle physics: Fundamental forces, quarks, leptons, baryons, mesons, conservation laws 8. Electronics & Condensed Matter Semiconductors, PN junction, diodes, transistors, amplifiers, oscillators
Digital electronics: Logic gates, flip-flops, counters, microprocessors
Solid-state physics: Bravais lattices, band theory, superconductivity, magnetism |
Chemistry | Paper I – Inorganic & Physical Chemistry Atomic structure: Bohr, Schrödinger, quantum numbers, periodicity, bonding (VSEPR, MO)
s-, p-, d-block elements, lanthanides, actinides
Coordination chemistry: Nomenclature, isomerism, CFT, spectra
Main group elements: Oxyacids, interhalogens, noble gas compounds
Organometallics: Structure, bonding, catalysis
Bioinorganic & supramolecular chemistry: Essential elements, hemoglobin, molecular recognition
Physical chemistry: Solids (defects, lattices), semiconductors, superconductors
Thermodynamics: 1st, 2nd, 3rd laws, Gibbs & Helmholtz functions, Carnot cycle
Chemical equilibria, surface phenomena, electrochemistry, spectroscopy (IR, NMR, UV-Vis, Raman) Paper II – Organic Chemistry Stereochemistry: Chirality, enantiomers, R/S, E/Z, conformations
Aromatic nucleophilic substitution (SN1/SN2), addition & elimination reactions
Common reactions: Aldol, Perkin, Wittig, Diels-Alder, Mannich, Michael, Stetter, etc.
Rearrangements: Pinacol, Wagner-Meerwein, Beckmann, Hofmann, Curtius, Baeyer-Villiger
Organic synthesis: Multi-step synthesis, protective groups, reagents
Spectral identification: IR, PMR, CMR, Mass spectra
Heterocycles: Pyrroles, imidazoles, pyridine, quinolone, drug applications
Pericyclic reactions, photochemistry of aromatic & carbonyl compounds
Natural products: Terpenes, alkaloids, vitamins, hormones
Biomolecules: Sugars, DNA/RNA, enzymes |
English | Paper I – Grammar Comprehension, spelling, articles, parts of speech
Tenses, voice, speech, question tags, sentence types
Transformation & synthesis of sentences
Vocabulary: Synonyms, antonyms, one-word substitution, idioms, homonyms
Infinitive, gerund, participle, prepositions, modals, comparison, figures of speech Paper II – Literature Major Authors: Chaucer, Marlowe, Bacon, Shakespeare, Milton, Pope, Dryden, Wordsworth, Shelley, Keats, Lamb, Austen, Tennyson, Arnold, Hardy, Dickens, Yeats, Eliot, Shaw, Galsworthy, Kamala Das, Nissim Ezekiel, Frost, Whitman, Faulkner
Literary Criticism: Aristotle, Dryden, Wordsworth, Coleridge, Arnold, Eliot
Literary Forms & Movements: Poetry, prose, drama, novel, essay, Romanticism, Victorian, Modernism |
Mathematics | Paper-I 1. Real Analysis Functions of Several Variables:Euclidean spaces, continuity, derivatives, chain rule, partial derivatives, higher-order derivatives, Taylor's theorem, inverse & implicit function theorems.
Measure Theory: Lebesgue outer measure, measurable sets/functions, Borel/Lebesgue measurability, integration of non-negative functions, series integration, Riemann & Lebesgue integrals, functions of bounded variation.
Lp Spaces & Inequalities:Measure spaces, integration w.r.t. a measure, Lp spaces, convex functions, Jensen's inequality, Hölder & Minkowski inequalities, completeness of Lp, convergence in measure. 2. Complex Analysis Fundamental Theorems: Cauchy-Goursat, Cauchy's integral formula, Poisson formula, Liouville, Morera, Schwarz lemma.
Series & Analytic Continuation: Taylor & Laurent series, Weierstrass factorization, Gamma & Riemann zeta functions, Mittag-Leffler theorem, Riemann mapping theorem.
Residues & Applications: Residue theorem, evaluation of integrals, canonical products, Hadamard factorization theorem, analytic continuation, Schwarz reflection, Harnack's inequality. 3. Topology Metric & Topological Spaces: Completeness, Cantor intersection theorem, dense sets, Baire category theorem, separable spaces, compactness, connectedness.
Topological Properties: Neighborhoods, closed sets, limit points, closure/interior/boundary, bases & sub-bases, first/second countable spaces, Lindelöf theorem.
Separation Axioms: T0–T4, Urysohn lemma, Tietze extension theorem.
Products & Compactness: Tychonoff product topology, projections, connectedness & compactness in product spaces. 4. Rigid Dynamics Moments/product of inertia, momental ellipsoid, principal axes, D’Alembert's principle, equations of motion, compound pendulum, motion of rigid body, Euler & Hamilton equations, conservation laws. 5. Calculus of Variations Euler's equation (first & higher-order derivatives, multiple variables), variational problems (fixed/moving boundaries), sufficient conditions for extremum (Jacobian, Legendre), principle of least action. 6. Discrete Mathematics Logic & Sets: Statements, predicates, tautologies, quantifiers.
Algebraic Structures: Semigroups, monoids, lattices, Boolean algebras (switching theory, Karnaugh maps).
Graph Theory: Graphs, paths, circuits, connectivity, trees, Eulerian & Hamiltonian paths, planar graphs, Kuratowski's theorem, spanning trees. 7. Mathematical Statistics Moments, method of least squares, correlation & regression, partial/multiple correlation.
Probability axioms, independent events, Bayes theorem, discrete & continuous distributions.
Distributions: Binomial, Poisson, Normal, Chi-square, t, F, Z. Paper-II 1. Abstract Algebra Groups: Normal/subnormal series, composition series, Jordan-Hölder, Sylow theorems, solvable & nilpotent groups.
Rings & Modules: Integral domains, quotient rings, Euclidean/polynomial rings, Gaussian rings, modules, free modules, isomorphism theorems.
Field Theory & Galois Theory: Field extensions, algebraic/transcendental, separable/inseparable, normal, Galois extensions, fundamental theorem of Galois theory.
Canonical Forms: Linear transformations, Jordan form, nilpotent transformations, primary decomposition theorem. 2. Fluid Dynamics Kinematics: Lagrangian/Eulerian methods, continuity, velocity potential, vortex lines.
Equations of Motion: Euler & Lagrange, Bernoulli, impulsive action.
Special Flows: Cylinders, spheres, complex potentials, Milne-Thomson theorem, Blasius theorem, Kelvin circulation, kinetic energy of flow. 3. Functional Analysis Normed/Banach/Hilbert spaces, linear transformations, continuous functionals.
Key theorems: Hahn-Banach, Open Mapping, Closed Graph, Banach-Steinhaus, Riesz Representation, spectral theorem.
Conjugate spaces, weak/weak* topologies, self-adjoint, normal/unitary operators. 4. Integral Equations Types & Solutions: Fredholm & Volterra, separable kernels, successive approximations, resolvent kernel, eigenvalues/functions.
Transforms: Fourier, Laplace, convolution integrals.
Symmetric kernels, Hilbert-Schmidt theorem, solution of integral equations. 5. Partial Differential Equations First-order PDEs: Nonlinear equations, Cauchy’s method, Charpit & Jacobi methods.
Second-order PDEs: Canonical forms, separation of variables, Laplace, wave, diffusion, Monge method. 6. Analytical Dynamics Holonomic/non-holonomic systems, generalized coordinates, Lagrange & Hamilton equations, Poisson brackets, Hamilton-Jacobi equation, variational principles, brachistochrone, minimal surfaces. 7. Operations Research Linear programming: Simplex, Big-M, duality, sensitivity.
Transportation & assignment problems.
Game theory: Two-person zero-sum games, mixed strategies, graphical & LP solution.
Sequencing models: n jobs, m machines.
Network analysis: PERT/CPM, time estimates, project crashing. |
Architecture | Paper 1 1. Basic Design & Architectural Design Role of Architect, building process, interaction with other professionals.
Regulatory bodies: Architects Act, COA, IIA, NASA.
Design Concepts: Additive, Subtractive, Dimensional transformations.
Order in Architecture: Geometrical, Structural, Dimensional, Material, Spatial.
Human Factors: Anthropometrics, space-activity relationships, measure drawings.
Elements of Space-making: Floor, wall, door, window, column, stairs, roof, etc. 2. Building Materials Traditional materials: Mud, burnt bricks, tiles, surkhi, lime, cement, sand.
Timber: Classification, characteristics, defects, preservation.
Hardware & Accessories: Hinges, handles, locks, stoppers, closers, knockers etc.
Cement Concrete: Plain & reinforced, mix, curing, workability.
Stone: Classification, availability, application.
Finishes: Plasters, paints, lime/colour wash, distemper, acrylic, textures, polish.
Roofing: Clay tiles, stone slating, shingles, thatch.
Timber products & composites: Plywood, block board, particle board, fiberboard, laminates.
Glass & Ceramics: Types, characteristics, applications, fittings.
Adhesives: Natural (animal, casein), thermoplastic, thermosetting, rubber adhesives.
Art Materials: Murals, sculptures, furniture, pottery, fountains for indoor/outdoor. 3. Building Construction Terminology & Elements: Foundations, walls, doors, windows, roofs.
Brickwork: Bonds (English, Flemish, Rat trap), piers, arches, jaalis, corbelling.
Foundation: Spread foundations, concrete.
Timber Work: Joints, framed/ledged/braced doors.
Stone Work: Masonry types, joints.
Roofing & Terracing: Lime concrete, mud phaska, brick coba.
Temporary Constructions: Shoring, underpinning.
Doors & Partitions: Timber, flush, sliding, folding, revolving, glass partitions. 4. Architectural Drawing Technical Drawing: Lines, polygons, geometric curves, helix, conoid.
Orthographic Projections: Planes, first angle projection, projections of solids.
Development of Surfaces & Solid Geometry: Sectioning, intersections, interpenetration of solids. 5. Applied Mechanics & Structural Design Statics: Forces, equilibrium, moments, couples.
Stresses & Strains: Elasticity, Hooke’s Law, modulus of elasticity, Poisson’s ratio, shear, torsion.
Centre of Gravity & Moment of Inertia: Calculation, application.
Beams & Trusses: Shear & bending moments, stress analysis, trusses analysis.
Concrete & Columns: Mix, curing, deflection, buckling, slenderness ratio.
Design Methods: Working stress, ultimate load, limit state design.
Reinforcement Detailing: Development length, splicing, curtailment, flexure, shear. 6. Art in Architecture Elements & Principles of Design: Line, shape, color, texture, form, proportion.
Art Movements: Renaissance, Baroque, Realism, Impressionism, Fauvism, Cubism, Surrealism.
Contemporary Indian Art: Artists like M.F. Hussain, Satish Gujral, S.H. Raza.
Interior & Furniture Design: Ergonomics, material selection, finishes, modular concepts. 7. Ecology & Environment Ecological concepts: Light, temperature, humidity, topography, global warming, climate change.
Ecosystems: Structure, function, energy flow, succession.
Soil & Water: Formation, classification, conservation, water balance, pollution.
Air & Noise Pollution: Types, sources, effects, prevention.
Built Environment: Relationship between humans, nature, and buildings. 8. Surveying Basic Principles: Units, scale, sign conventions.
Chain Surveying: Instruments, ranging, offsets, obstacles.
Plane Table Surveying: Methods – Radiation, Intersection, Traversing, Resection.
Compass Surveying: Prismatic compass, bearings, declination, local attraction.
Leveling & Contouring: Profile, cross-section, errors.
Theodolite: Horizontal & vertical angles, repetition, line extension. 9. Building Services Water Supply: Sources, distribution, pipe fittings, tanks, rainwater harvesting.
Sanitation: Sewer design, drainage, traps, sanitary appliances, plumbing systems.
Electrical: Symbols, distribution, lighting, protection devices, internal wiring systems.
Illumination: Light properties, types of schemes, calculation methods, luminaries.
Air Conditioning: Principles, systems, ductwork, fans, filters, AHUs.
Lift Services: Types, design standards, operation, escalators. 10. Vernacular Architecture Concepts: Sense of place, spontaneity, variation, symbolism.
Study of Indian vernacular architecture in different climatic zones. 11. Interior & Furniture Design Design Vocabulary: Elements and principles of interior design.
History: Ancient to modern, postmodern ideologies.
Materials: Ergonomics, finishes, modular furniture, mass production. 12. Housing Needs & Demand: Types, density, zoning, settlement patterns.
Government & Schemes: PMAY, RAY, rental housing, slum rehabilitation.
Housing Categories: Condominiums, cooperative housing, rural housing. 13. Building Sociology Society & Architecture: Culture, identity, social development.
Demography: Population growth, migration.
Social Institutions & Infrastructure: Family, marriage, religion, education, health. 14. Specifications, Cost Estimation & Budgeting Specifications: NBC, ECBC standards.
Estimation: Preliminary, plinth area, cubical content, item rate.
Rate Analysis: Labor norms, material rates, BOQ preparation.
Accounting: PWD/CPWD procedures, cash, stores, stock management.
Valuation & Budgeting: Project budgeting, property valuation. 15. Professional Practice Architectural Profession: Bodies like IIA, COA; membership; Architects Act.
Engagement: Duties, liabilities, fees, competitions.
Tenders & Contracts: Types, preparation, award, contract documents.
Office Management: Business organization, taxation, accounting.
Arbitration: Indian Arbitration Act, arbitrator’s role, awards. 16. Urban Design Urban Spaces: Historical & contemporary examples (Italian piazzas, US markets).
Design Parameters: Morphology, texture, grain, human scale, complexity.
Urban Design Principles & Theories: Visual, physical, social.
Details: Lighting, green infrastructure, acoustics, street-level air quality. 17. History of Architecture Periods: Prehistoric, Ancient River Valley, Aegean, Greek & Roman Classical.
Indian Civilizations: Indus Valley, Aryan, Buddhist, Hindu (Indo-Aryan & Dravidian), Jain.
Medieval & Colonial: Early Christian, Byzantine, Romanesque, Gothic, Renaissance, Baroque, Sultanate, Mughal, Colonial. 18. Architectural Photography Photography Vocabulary: Composition, framing, silhouette.
Camera Types: SLR, DSLR, lenses, filters.
Techniques: Shutter speeds, apertures, exposure, lighting for architectural subjects. Paper-II 1. Architectural Design Structural Systems: Trabeated, Arcuated, Vector, Form-active, Tensile, etc. – understanding mechanism, efficiency, limitations, materials, and function.
Context: Urban context, site analysis.
Sustainability: Water harvesting, waste management, solar/wind energy. 2. Building Materials Metals (Ferrous & Non-Ferrous): Iron, steel, stainless steel, copper, brass, bronze, tin, zinc, lead, nickel.
Floor & Floor Finishes: Brick, cement concrete, stone, terrazzo, tiles, wood.
Reinforced Brickwork: Types, mixing, curing, water-cement ratio.
Additives & Admixtures: Cementitious, proprietary, coating systems.
Construction Equipment: Earth moving, concrete mixers, cranes, vibrators, compactors.
Gypsum & Asbestos Products: Boards, ceiling tiles, plaster, accessories.
Waterproofing Compounds: Neoprene, Butyl, EPDM, PVC, Polyurethane.
Plastics & Rubbers: Thermoplastics, thermosetting plastics, applications.
Steel for Industrial Construction & Roofing: Classification, first–fourth generation roofing.
Advanced Structural Concretes & Pre-stressing materials.
Speedy Construction Materials & Formwork Systems: Table/flying form, slip form, jump form, tunnel form, column/horizontal/vertical panel systems. 3. Building Construction Structural Steel Works: Riveted, bolted, welded, soldering, brazing, joint detailing.
Doors & Windows: Metal, aluminum, PVC – classification, construction.
Reinforced Brickwork: Piers, lintels, slabs.
Floor, dado, skirting: Brick, concrete, mosaic, stone, tiles, wood.
Temporary constructions: Centering, scaffolding.
RCC Works: Foundations, columns, lintels, beams, staircases.
Partitions & False Ceilings: Gypsum board, metal stud partitions, suspended ceilings.
Waterproofing works: Basements, terraces, toilets, kitchens.
Joints: Expansion, seismic.
Industrial & pre-stressed concrete construction: Portal frames, trusses, beams, slabs.
Prefabrication & precasting: Open prefab, large panel systems, offsite/on-site, precast frames.
Speedy construction: One/two-way slabs, waffle slabs, flat slabs, lift slab, box frame construction.
Modular coordination. 4. Architectural Drawing Metric Drawing: Isometric, axonometric, pictorial.
Perspective Drawing: One, two, three-point perspectives; components (cone of vision, vanishing points, etc.).
Shades & Shadows: Values, plan/elevation/3D projections. 5. Structural Design RCC Design: Slabs, continuous beams, stairs, columns, foundations, retaining walls.
Steel Design: Riveted, bolted, welded connections; tension/compression members; grillage foundations; roof trusses.
Soil Mechanics: Soil types, properties, bearing capacity, earth pressure. 6. Art Appreciation Language of art: Naturalistic, realistic, symbolic, abstract, modern.
Aesthetic theories: Western & Indian – Plato, Aristotle, Tolstoy, Shadanga, Rasa theory.
Art development: Historical and contemporary, cultural/religious influences. 7. Climatology Climate elements: Solar radiation, temperature, humidity, wind.
Climate types: Tropical, microclimate, site climate.
Human thermal comfort: Comfort zones, bio-climatic charts, thermal indices.
Solar charting, daylighting principles, ventilation, building orientation. 8. Advanced Surveying & Geomatics Total Station, Photogrammetry, GIS, Remote Sensing, GPS.
GIS: Raster & vector data, thematic mapping, DEM.
Remote sensing: Electromagnetic spectrum, sensors, image processing. 9. Building Services Fire Protection: Causes, classes, equipment, extinguishing, escape.
Electronic Security & Surveillance: Access control, CCTV, alarms, lighting.
Advanced Services: Gas installations, automated parking, mechanical ventilation, waste management, IBMS. 10. Architectural Conservation Principles, ethics, documentation, decay causes, conservation agencies (INTACH, UNESCO, ICOMOS).
Policies and charters; management of heritage sites. 11. Disaster Mitigation & Management Types of hazards, vulnerability, risk assessment.
Disaster management cycle: preparedness, response, recovery.
Disaster-resistant construction, land use planning. 12. Urban Planning City planning principles, historical and modern theories (Indus Valley, Garden City, Smart City).
Standards, traffic planning, transportation systems. 13. Building Economics Basic economics, building life-cycle, cost-benefit, project financing.
Real estate, lease, mortgages, economic performance analysis. 14. Landscape Design Elements & principles of landscape design.
Engineering: roads, paths, steps, water bodies.
Plant classification: Trees, shrubs, groundcovers, creepers. 15. Professional Practice Land laws: Acquisition, easements, urban development laws.
Mercantile law: Contract Act, Partnership Act.
Environmental law: NGT, Air/Water Acts, RERA.
Architects’ roles and responsibilities under these laws. 16. Building Construction Management Project management: Planning, scheduling, monitoring, cost optimization.
Techniques: PERT, CPM, resource allocation, quality control, temporary services. 17. Theory of Architecture Pre-modern, modern, post-modern, revivalist, vernacular architects.
Philosophical approaches, critical regionalism, materialist architecture. 18. Architectural Acoustics Sound: Propagation, frequency, pitch, loudness.
Acoustical behavior: Reflection, absorption, diffraction, transmission.
Noise control, sound insulation, sound system design.
Acoustical design principles for halls, auditoriums, conference rooms. |
