Matrices and Determinants, Systems of linear equations,
Eigen values and eigen vectors.
Limit, continuity and differentiability; Partial
Derivatives; Maxima and minima; Sequences and series; Test
for convergence; Fourier series.
Gradient; Divergence and Curl; Line; surface and volume
integrals; Stokes, Gauss and Green’s theorems.
Linear and non-linear first order ODEs; Higher order linear
ODEs with constant coefficients; Cauchy’s and Euler’s
equations; Laplace transforms; PDEs – Laplace, heat and wave
Probability and Statistics:
Mean, median, mode and standard deviation; Random variables;
Poisson, normal and binomial distributions; Correlation and
Solutions of linear and non-linear algebraic equations;
integration of trapezoidal and Simpson’s rule; single and
multi-step methods for differential equations.
Textile Engineering and Fibre Science:
Classification of textile fibres; Essential requirements of
fibre forming polymers; Gross and fine structure of natural
fibres like cotton, wool and silk. Introduction to important
bast fibres; properties and uses of natural and man-made
fibres; physical and chemical methods of fibre and blend
identification and blend analysis. Molecular architecture,
amorphous and crystalline phases, glass transition,
plasticization, crystallization, melting, factors affecting
Tg and Tm; Process of viscose and acetate preparation.
Polymerization of nylon-6, nylon-66, poly (ethylene
terephthalate), polyacrylonitrile and polypropylene; Melt
Spinning processes, characteristic features of PET,
polyamide and polypropylene spinning; wet and dry spinning
of viscose and acrylic fibres; post spinning operations such
as drawing, heat setting, tow-to-top conversion and
different texturing methods. Methods of investigating fibre
structure e.g., Density, X-ray diffraction, birefringence,
optical and electron microscopy, I.R. absorption, thermal
methods (DSC, DMA/TMA, TGA); structure and morphology of
man-made fibres, mechanical properties of fibres, moisture
sorption in fibres; fibre structure and property
Yarn manufacture and yarn structure & properties:
Principles of opening, cleaning and mixing/blending of
fibrous materials, working principle of modern opening and
cleaning equipments; the technology of carding, carding of
cotton and synthetic fibres; Drafting operation, roller and
apron drafting principle, causes of mass irregularity
introduced by drafting; roller arrangements in drafting
systems; principles of cotton combing, combing cycle,
mechanism and function, combing efficiency, lap preparation;
recent developments in comber; Roving production, mechanism
of bobbin building, roving twist; Principle of ring
spinning, forces acting on yarn and traveler; ring &
traveler designs; mechanism of cop formation, causes of end
breakages; working principle of ring doubler and two for one
twister, single and folded yarn twist, properties of double
yarns, production of core spun yarn, compact spinning,
principle of non conventional methods of yarn production
such as rotor spinning, air jet spinning, wrap spinning,
twist less spinning and friction spinning. Yarn contraction,
yarn diameter, specific volume & packing coefficient; twist
strength relationship in spun yarns; fibre configuration and
orientation in yarn; cause of fibre migration and its
estimation, irregularity index, properties of ring, rotor
and air-jet yarns.
Fabric manufacture and Fabric Structure:
Principles of cheese and cone winding processes and machines;
random and precision winding; package faults and their
remedies; yarn clearers and tensioners; different systems of
yarn splicing; features of modern cone winding machines;
different types of warping creels; features of modern beam
and sectional warping machines;
different sizing systems, sizing of spun and filament yarns,
modern sizing machines; principles of pirn winding processes
and machines; primary and secondary motions of loom, effect
of their settings and timings on fabric formation, fabric
appearance and weaving performance; dobby and jacquard
shedding; mechanics of weft insertion with shuttle; warp and
weft stop motions, warp protection, weft replenishment;
functional principles of weft insertion systems of
shuttle-less weaving machines, principles of multiphase and
circular looms. Principles of weft and warp knitting; basic
weft and warp knitted structures. Classification, production
and areas of application of nonwoven fabrics. Basic woven
fabric constructions and their derivatives; crepe, cord,
terry, gauze, leno and double cloth constructions. Peirce’s
equations for fabric geometry; elastica model of plain woven
fabrics; thickness, cover and maximum set of woven fabrics.
Sampling techniques, sample size and sampling errors.
Measurement of fiber length, fineness, crimp, strength and
reflectance; measurement of cotton fiber maturity and trash
content; HVI and AFIS for fibre testing. Measurement of yarn
count, twist and hairiness; tensile testing of fibers, yarns
and fabrics; evenness testing of slivers, rovings and yarns;
testing equipment for measurement test methods of fabric
properties like thickness, compressibility, air
permeability, drape, crease recovery, tear strength,
bursting strength and abrasion resistance. FAST and Kawabata
instruments and systems for objective fabric evaluation.
Statistical data analysis of experimental results.
Correlation analysis, significance tests and analysis of
variance; frequency distributions and control charts.
Chemistry and practice of preparatory processes for cotton,
wool and silk. Mercerization of cotton. Preparatory
processes for nylon, polyester and acrylic and
Classification of dyes. Dyeing of cotton, wool, silk,
polyester, nylon and acrylic with appropriate dye classes.
Dyeing polyester/cotton and polyester/wool blends. Batch
wise and continuous dyeing machines. Dyeing of cotton
knitted fabrics and machines used. Dye fibre interaction.
Introduction to thermodynamics and kinetics of dyeing.
Methods for determination of wash, light and rubbing
fastness. Evaluation of fastness properties with the help of
Styles of printing. Printing thickeners including synthetic
thickeners. Printing auxiliaries. Printing of cotton with
reactive dyes. Printing of wool, silk, nylon with acid and
metal complex dyes. Printing of polyester with disperse
dyes. Methods of dye fixation after printing. Resist and
discharge printing of cotton, silk and polyester. Printing
of polyester/cotton blends with disperse/reactive
combination. Transfer printing of polyester. Developments in
Mechanical finishing of cotton. Stiff. Soft, wrinkle
resistant, water repellent, flame retardant and enzyme
(bio-polishing) finishing of cotton. Milling, decatizing and
shrink resistant finishing of wool. Antistat finishing of
synthetic fibre fabrics. Heat setting of polyester.
Minimum application techniques.
Environment pollution during chemical processing of
textiles. Treatment of textile effluents.