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Detailed Syllabus SEMESTER I 15Z101/15I101 CALCULUS AND ITS APPLICATIONS 3 2 0 4 DIFFERENTIAL CALCULUS: Basic concepts - Limits, continuity, differentiation, functions of several variables, partial derivatives. (6+4) 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, triple integrals in rectangular co-ordinates, triple integrals in spherical and cylindrical co-ordinates. (8+5) ORDINARY DIFFERENTIAL EQUATIONS OF FIRST ORDER: Basic concepts, separable differential equations, exact differential equations, integrating factors, linear differential equations, Bernoulli equation, modelling – decay and growth problems. (8+5) 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, modelling of electric circuits. (7+5) 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. 15I102 PHYSICS 3 0 0 3 OSCILLATORY MOTION: Review of simple harmonic motion- Differential equation of SHM. Velocity and acceleration. Restoring force. Vibration of a spring and mass system. Frequency response, phase response and resonance. Analogy with LCR circuits and oscillators. Energy and energy loss. Damped oscillations. Significance in control systems, vibration and vibration isolation. (9) WAVE MOTION: Definition of a plane progressive wave. Attenuation of waves. Representation of waves using complex numbers. Differential equation of a plane progressive wave. Phase velocity. Phase and phase difference. Solution of the differential equation of a plane progressive waveform of differential equation of 3-dimensional wave motion(no detailed solution). Introduction to numerical methods for solution of wave equation. Importance of spherical and plane wave fronts. (9) OPTICS: Review of image formation in lenses and mirrors. Spherical and chromatic aberration. Methods of reducing aberrations (no derivations)- aspherical components, aperture control, multiple elements. Principle of adaptive optics. Role of actuators in adaptive optics. Fresnel mirrors- principle and applications for solar energy. Tracking of Fresnel mirrors. Interference and diffraction: Principle of Fabry-Perot interferometer. Diffraction due to circular apertures. Applications. Spectral distribution: emission, transmission and absorption spectra. Examples. (9) HEAT: Review of thermal properties: Specific heat capacity, thermal capacity and coefficient of linear thermal expansion. Methods of measurement of thermal expansion. Thermal stresses in composite structures due to non-homogeneous thermal expansion. Applications -The bimetallic strip. 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 and heat sinking of electronic devices. (9) ELECTROMAGNETISM: Review of definitions of fundamental terms. Permeability. Forces due to currents. Uniform and non- uniform magnetic fields. Static and time-varying magnetic fields. Electromagnetic induction. Expression for induced emf. Electric fields definition of fundamental terms. Dielectric constant, Permittivity. Dielectric displacement. Gauss theorem. Electromagnetic waves. Propagation of electromagnetic waves through isotropic media. Maxwell's equations and interpretation of Maxwell's equations. (9) Total L: 45 TEXT BOOKS: 1. Richard Wolfson , ―Essential University Physics‖., Vols 1 and 2. Pearson Education, Singapore, 2011. 2. Gaur R K , Gupta S L, ― Engineering Physics‖, Dhanpat Rai Publications, 2013. 23 REFERENCES: 1. Halliday D, Resnick R. and Walker J, ― Fundamentals of Physics‖, Wiley Publications, 2008 2. Avadhanulu, M. N., ―Engineering Physics‖ , S. Chand & Co. 2007. 3. Purcell E. M., ―Electricity and Magnetism – Berkeley Physics Course Vol. 2,‖Tata McGraw-Hill, 2008. 4. Paul A. Tipler and Geene Mosca, ―Physics for Scientists and Engineers‖, W.H.Freeman and Company, New York, 2004. 15I103 CHEMISTRY 3 0 0 3 CHEMICAL BONDING: Types of chemical bonds - bond polarity- dipole moment – partial ionic character - consequences. Weak Interactions – Hydrogen bonding, van der Waals forces- their influence on properties of matter. Metallic bond – free electron theory, MO treatment - band theory-metals, semiconductors and insulators. Non stoichiometric semiconductors, chalgogen semiconductors. Defect structures of crystals – Schottky and Frenkel defects. (9) ELECTROCHEMISTRY: Electrode potential – standard and reference electrodes. Nernst equation. Emf series – applications. Galvanic and concentration cells. Applications of potential measurements – glass electrode - pH measurement, acid- base titration, redox titration. Conductance measurement – applications – conductometric titrations. (9) POLYMERS: Classification, degree of polymerization, molecular weight – Mn and Mw. Polymerization reactions. Glass transition temperature – factors affecting Tg - determination by DSC. Polymer processing - compounding, outline of moulding techniques- compression, injection, extrusion and blow moulding. Charge transport in conjugated polymers - doped conjugated polymers - glucose biosensor. Polymers for LED and LCD displays. (9) ADVANCED MATERIALS: Carbon nanotubes and carbon fibres, graphene and polymer nano-composites-properties and applications – morphological studies by SEM and TEM. Solid oxide materials and polymer electrolytes –energy storing applications. Polymer blends and alloys, photo and electroluminescence materials, insulating materials, photopolymers and photoresists for electronics, polymer photovoltaics. (9) WATER CHEMISTRY : Hardness - determination (EDTA method). Water softening - zeolite and demineralization processes. Desalination by electro-dialysis and reverse osmosis. Water for processing of semiconductors. Instrumental methods for water analysis- AAS, flame emission spectroscopy, ICP – MS and photocolorimetry. (9) Total L: 45 TEXT BOOKS: 1. Mary Jane Shultz, ―Engineering Chemistry‖, Cengage Learning, USA, 2009. 2. Palanna O. G., ―Engineering Chemistry‖, Tata Mc.Graw Hill Education Pvt. Ltd., New Delhi, 2009. REFERENCES: 1. Gesser H .D., ―Applied Chemistry - A Textbook for Engineers and Technologies‖, Springer, New York, 2008. 2. Gowarikar V. R., Viswanathan N.V. and Jayadev Sreedhar, ―Polymer Science‖, New Age International (P) Ltd., New Delhi, 2011. 3. Vijayamohanan K. Pillai and Meera Parthasarathy. ―Functional Materials-A Chemist‘s Perspective‖ Universities Press, India, 2012. 4. Shashi Chawla, ―A Text book of Engineering Chemistry‖, Dhanpat Rai & Co,New Delhi, 2005. 15I104 BASICS OF ELECTRICAL ENGINEERING 3 0 0 3 FUNDAMENTALS: Electrical units : Current - Voltage - Power - Energy, Electrical circuit elements : Resistor – Inductor - Capacitor, Sources of electrical energy, SI units. (6) DC CIRCUITS: Circuit laws : Ohm‘s law - Kirchoff‘s laws, Series and Parallel circuits, Maxwell‘s loop current method, Network theorems : Superposition theorem - Thevenin‘s theorem - Norton‘s theorem - Maximum power transfer theorem. (9) AC CIRCUITS: Single phase AC circuits : average and RMS values of sinusoidal waveform -RLC circuits - Phasor representation - Active, Reactive and Apparent Power - Power factor, Analysis of RLC circuits, Three phase circuits : Star and Delta connections - Phase and Line quantities - Balanced and Unbalanced systems. (9) MEASURING INSTRUMENTS: Basic concepts, Moving Coil and Moving Iron Instruments, Measurement of current, voltage, power and energy, Multimeter and Oscilloscope. (6) 24 ELECTRICAL MACHINES: DC generator : Principle of operation - Applications, DC motor : Principle of operation - Applications, Single phase and three phase induction motors : Principle of operation - Applications, Stepper motor : Principle of operation - Applications. (9) DOMESTIC WIRING: Materials and accessories, Types of cables, Types of wiring, Earthing, Protection : Fuse - Circuit breakers - Relays, IE rules and regulations. (6) Total L :45 TEXT BOOKS: 1. Edward Hughes, John Hiley and Keith Brown, ―Electrical and Electronic Technology‖, Pearson Education, New Delhi, 2012 2. Murugesh Kumar K, ―Basic Electrical Science and Technology‖, Vikas Publishing House, New Delhi, 2009 REFERENCES: 1. Allan R Hambley, ―Electrical Engineering :Principles and Applications‖, PHI Learning, New Delhi, 2009 2. Theraja B L and Theraja B K, ―Textbook of Electrical Technology‖, S.Chand and Company Ltd, New Delhi, 2010 3. Rajendra Prasad, ―Fundamentals of Electrical Engineering‖, PHI Learning, New Delhi, 2009 4.
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