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Detailed Syllabus SEMESTER I 15T101 CALCULUS AND ITS APPLICATIONS 3 2 0 4 DIFFERENTIAL CALCULUS: Basic concepts - Limits, continuity. Differentiation, functions of several variables, partial derivatives, total derivatives, Taylor‟s formula for functions of two variables. (8+5) INTEGRAL CALCULUS: Double integrals - double integrals over rectangles, double integrals as volumes, Fubini‟s theorem (concept and statement only), double integrals in polar form, changing the order of integration. (6+4) ORDINARY DIFFERENTIAL EQUATIONS OF FIRST ORDER: Basic concepts, separable differential equations, exact differential equations, integrating factors, linear differential equations, Bernoulli equation, modeling- mixing problems, decay and growth problems, Newton‟s law of cooling. (9+6) LINEAR DIFFERENTIAL EQUATIONS OF SECOND ORDER: Homogeneous linear equations of second order, linearity principle, initial value problem, general solution, second order homogeneous equations with constant coefficients, Euler – Cauchy equation, solution by variation of parameters. (6+4) VECTOR CALCULUS: Gradient of a scalar field, directional derivative, divergence of a vector field, curl of a vector field. Integration in vector field – Line integrals, work, circulation and flux, path independence, conservative fields, surface integrals. Green‟s, Gauss divergence and Stoke‟s theorems (concepts and statements only), evaluation of line, surface and volume integrals. (16+11) Total L: 45+T: 30=75 TEXT BOOKS: 1. Thomas G. B. and Finney R. L., “Calculus and Analytic Geometry”, Pearson Education, New Delhi, 2012. 2. Erwin Kreyszig, “Advanced Engineering Mathematics”, Wiley India Pvt Ltd, New Delhi, 2012. REFERENCES: 1. Wylie C. R. and Barrett L. C., “Advanced Engineering Mathematics”, Tata McGraw-Hill, New Delhi, 2013. 2. Peter V.O Neil, “Advanced Engineering Mathematics”, Cengage, New Delhi, 2010. 15H102/15T102 PHYSICS 3 0 0 3 MECHANICAL PROPERTIES: Review of vector quantities. Newton's third law and Free Body diagrams. Rigid body dynamics: Centre of mass. Moment of inertia. Torque, angular momentum and angular acceleration. Work power and energy. Conservation of momentum. Friction and wear-Static and dynamic friction, limiting friction, Rolling friction. Coefficient of static friction, coefficient of dynamic friction. Lubrication and lubricants. Surface wear due to friction. Role of friction in textiles. Surface treatments for reducing friction. Surface treatments for increasing friction. (9) PROPERTIES OF LIQUIDS AND FLUIDS: Surface tension: molecular forces-intermolecular range. Excess pressure, capillarity.Viscosity -viscous force-coefficient of viscosity. Equation of continuity. Adhesion, cohesion, wettability. Fluid Motion- Newtonian and non newtonian fluids - Kinematics of Moving Fluids: Poiseuille‟s Equation for flow of a Liquid through a capillary tube. Properties of absorbent textiles for industrial applications (9) GEOMETRICAL OPTICS: Image formation using lenses and mirrors. Spherical and chromatic aberration. Methods of reducing aberrations. Aspherical components, aperture control, multiple elements. Adaptive optics. Definition of depth of field. Optical instruments for imaging and inspection of textiles and fibres. Factors affecting magnification and image quality (8) PHYSICAL OPTICS: Principle of Interferometry. Interferometric techniques for measurement of small thicknesses. Applications to measurement of fibre thickness and uniformity. Polarised light - appearance of transparent materials in polarised light- fibre colour due to birefringence. Polarised light microscopes for inspection of textiles and fibres. Use of Bertrand lens and conoscopy. Spectral distribution: emission, transmission reflection and absorption spectra. Textile colour, colour changing fabrics. (10) THERMAL PHYSICS: Review of thermal properties: Specific heat capacity, thermal capacity and coefficient of linear thermal expansion. Methods of measurement of thermal expansion. Differential equation of one-dimensional heat flow. Searle's apparatus and Lee's disc apparatus for determination of thermal conductivity. Thermal Insulation. Convection and radiation. Heat dissipation. Properties of woven and non-woven textiles for thermal functions. (9) Total L: 45 TEXT BOOKS: 1. Richard Wolfson, “Essential university Physics” Vols 1 and 2, Pearson Education, Singapore, 2011. 2. Gaur R. K. and Gupta S. L., “Engineering Physics”, Dhanpat Rai and Sons, India, 2013. REFERENCES: 1. Halliday D., Resnick R. and Walker J., “Fundamentals of Physics”, Wiley Publications, 2008. 2. Arthur Beiser, “Applied Physics”, Tata McGraw-Hill Publishing Co. Ltd, India, 2007. 3. Hitendra K. Malik and Ajay Kumar Singh, “Engineering Physics”, Tata McGraw-Hill Publishing Co. Ltd, India, 2010. 24 15T/H103 CHEMISTRY 3 0 0 3 CHEMICAL BONDING: Types of chemical bonds – bond polarity, dipole moments and partial ionic character of covalent bonds. Molecular orbital treatment of simple diatomic molecules. Metallic bonding – free electron theory and band theory. Hydrogen bonding – types and their consequences. van der Waals forces – origin and significance. (9) KINETICS AND SURFACE CHEMISTRY: Integrated rate laws - temperature dependence of reaction rate, kinetics of enzyme catalysis – Michaelis-Menton equation. Adsorption - Freundlich and Langmuir isotherms. Surface active agents - types, orientation of surfactants on solid and liquid interfaces, adsorbed mono layers. Applications of adsorption – detergency, water repellency, wetting - contact angle, foaming, emulsifications, deemulsification, defoamers and water conservation. (9) WATER CHEMISTRY: Water quality parameters- determination of hardness (EDTA method), alkalinity, TDS, BOD, COD, chloride, sulphate, iron (by colorimetry). Boiler troubles and remedies – internal conditioning. Water treatment methods – zeolite, demineralization, electrodialysis and reverse osmosis. Solution chemistry: Solubility product, common ion effect- influence on ionization of weak electrolytes and pH of solutions. (9) LUBRICANTS : Mechanism of lubrication, properties of lubricating oil - viscosity, viscosity index, flash and fire points, oiliness, cloud and pour points, aniline point, Steam Emulsion Number, oxidation stability. Additives for lubricants. Greases – types and uses. Solid lubricants. Synthetic lubricants-. Fluolubes, silicone lubricants. Lubricating emulsions, cutting fluids. (9) OILS, FATS, SOAPS AND DYES: Oil and fats - chemical constitution, general chemical characteristics – drying, rancidification, hydrolysis, hydrogenation, hydrogenolysis. Chemical analysis – acid, saponification, iodine, RM values – determination and their significance. Soaps- types and preparation. Detergents. Dyes -Theory of colour and constitution – chromophore and auxochromes, Nomenclature of dyes - commercial naming, colour index. Classification of dyes based on application – direct dyes, mordant dyes, ingrain dyes, vat dyes, disperse dyes, reactive dyes and sulphur dyes. (9) Total L: 45 TEXT BOOKS: 1. Atkins P., “The Elements of Physical Chemistry”, Oxford University Press, New Delhi, 2009 2. Jain P. C. and Monica Jain., “Engineering Chemistry”, Dhanpat Rai Publishing Company, New Delhi, 2013. REFERENCES: 1. Shaw D. J., “Introduction to Colloids and Surface Chemistry “, Butterworth - Heinemann Ltd., Jordan, 1998. 2. Shashi Chawla, “A Text book of Engineering Chemistry”, Dhanpat Rai & Co, New Delhi, 2005. 3. Puri B. R. Sharma L. R. and Pathania M. S., “Principles of Physical Chemistry”, Vishal Publishing & Co., New Delhi, 2010. 15T104 ENGLISH LANGUAGE PROFICIENCY 2 2 0 3 LEARNING LANGUAGE THROUGH STANDARD LITERARY AND GENERAL TEXTS: Integrated Tasks focusing on Language Skills – Training based on Text based Vocabulary, tone, register and Syntax features. (12) GRAMMAR IN CONTEXT: Word Order – Subject Verb Concord – Style features – Tenses, Conditionals, Prepositions, Active and Passive Voice, Modals and Transformation of Sentences. (14) GUIDELINES FOR WRITTEN COMMUNICATION: Principles of Clear Writing - Paragraph Writing – Essay Writing – Emphasis Techniques – Summarizing and Paraphrasing – Analytical Writing – Letter Writing. (4) WRITING PRACTICE (8) FOCUS ON SPOKEN ENGLISH: Task – based activities with graded levels of difficulty and with focus on language functions Level 1: Self – expression – Greetings in Conversation, Hobbies, Special interests, Daily routine. Level 2: General Awareness – Expression of Concepts, Opinions, Social Issues, Description of a process / picture/chart, news presentation / review. Level 3: Advanced Skills – Making Short Speeches and Participating in Role Plays. (14) LISTENING ACTIVITY: Task- based Activities using Language Lab. (8) Total L: 30+T: 30 =60 TEXTBOOK: 1. Monograph prepared by the Faculty, Department of English, 2015. REFERENCES: 1. Simon Haines, Mark Nettle and Martin Hewings, “Advanced Grammar in Use”, Cambridge University Press, New Delhi, 2008. 2. Jill Singleton, “Writers at Work: The Paragraph”, Cambridge University Press, New York, 2012. 3. Anne Laws, “Writing Skills”, Orient Black Swan, Hyderbad, 2011. 4. Sinha D.K., “Specimens of English Prose”, Orient Black Swan, Hyderabad, 2012. 25 15T105 PROBLEM SOLVING AND C PROGRAMMING 2 2 0 3 INTRODUCTION TO PROBLEM SOLVING: Program development - Analyzing and Defining the Problem - Algorithm - Flow Chart. (2+2) PROGRAMMING LANGUAGES: Definition - Types of programming language – Modular Programming - Program Development Environment. (2+2) C: The C character set - Identifiers and keywords - Data types – Constants - Variables
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