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# GATE Textile Engineering and Fibre Science (TF) Syllabus 2023

Organisation : Graduate Aptitude Test In Engineering GATE
Exam Name : GATE Textile Engineering and Fibre Science (TF) Exam
Announcement : GATE Textile Engineering and Fibre Science (TF) Syllabus 2023
Website : https://gate.iitk.ac.in

## GATE Textile Engineering and Fibre Science (TF) Syllabus

In each of the following subjects the topics have been divided into two categories – Core Topics and Special Topics. The corresponding sections of the question paper will contain 90% of their questions on Core Topics and the remaining 10% on Special Topics.

Related / Similar Syllabus : GATE Statistics (ST) Syllabus 2023 ## Textile Engineering and Fibre Science (TF) Syllabus

ENGINEERING MATHEMATICS
Linear Algebra:
Matrices and Determinants; Systems of linear equations; Eigenvalues and Eigenvectors.

Calculus:
Limit, continuity and differentiability; Successive differentiation; Partial differentiation; Maxima and minima; Errors and approximations; Definite and improper integrals; Sequences and series; Test for convergence; Power series; Taylor series.

Differential Equations:
First order linear and non-linear differential equations; Higher order linear differential equations with constant coefficients; Euler-Cauchy equation; Partial differential equations; Wave and heat equations; Laplace’s equation.

Probability and Statistics:
Random variables; Poisson, binomial and normal distributions; Mean, mode, median, standard deviation; Confidence interval; Test of hypothesis; Correlation analysis; Regression analysis; Analysis of variance; Control charts.

Numerical Methods:
Numerical solutions of linear and non-linear algebraic equations; Numerical integration by trapezoidal and Simpson’s rules; Single-step and multi-step numerical methods for differential equations

TEXTILE ENGINEERING AND FIBRE SCIENCE
Section 1: Textile Fibres
** Classification of textile fibres; Essential requirements of fibre forming polymers; Gross and fine structures of natural fibres like cotton, wool, silk; Introduction to bast fibres; Properties and uses of natural and man-made fibres including carbon, aramid and ultra-high molecular weight polyethylene 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; Polymerization of nylon-6, nylon-66, poly (ethylene terephthalate), polyacrylonitrile and polypropylene; Melt spinning processes for PET, polyamide and polypropylene; Preparation of spinning dope; Principles of wet spinning, dry spinning, dry-jet-wet spinning and gel spinning; Spinning of acrylic, viscose and other regenerated cellulosic fibres such as polynosic and lyocell; Post spinning operations such as drawing, heat setting, tow-to-top conversion; Spin finish composition and applications; Different texturing methods.

** Methods of investigating fibre structure such as density, x-ray diffraction, birefringence, optical and electron microscopy such as SEM and TEM, I.R. spectroscopy, thermal methods such as DSC, DMA, TMA and TGA; Structure and morphology of man-made fibres; Mechanical properties of fibres; Moisture sorption of fibres; Fibre structure-property correlation. 