#1
11th July 2015, 08:20 AM
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IITKGP First Year Syllabus
I have got admission in B.TECH first year at Indian Institute of Technology Kharagpur . Will you please provide the B.TECH first year syllabus for an idea ?
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#2
11th July 2015, 02:14 PM
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Re: IITKGP First Year Syllabus
The Indian Institute of Technology Kharagpur was established in the year 1951. It is located at Kharagpur, West Bengal, India . It offers four year duration B.TECH course . Semester –I Mathematics - I Physics / Chemistry English for Comm. Electrical Technology / Prog. and Data Structures Electrical Technology /Prog. & Data Struct. Lab. Intro. Manufacturing Proc. /Engg. Drawing & Graphics Physics / Chemistry Lab EAA-I Semester –II Mathematics – II Chemistry / Physics Prog. & Data Struct. / Electrical Technology Mechanics Prog. & Data Struct. / Electrical Tech. Lab Engg Drawing & Graphics/ Intro. to Manufacturing Proc. Chemistry / Physics Lab EAA-II Indian Institute of Technology Kharagpur B.TECH first year syllabus Syllabus for I year subjects and Basic Electronics (3rd semester course) MA 10001 Mathematics-I (3-1- 0 4) Differential Calculus: Rolle's theorem, Cauchy's mean value theorem (Lagrange's mean value theorem as a special case), Taylor's and Maclaurin's theorems with remainders, indeterminate forms, concavity and convexity of a curve, points of inflexion, asymptotes and curvature. Limit, continuity and differentiability of functions of several variables, partial derivatives and their geometrical interpretation, differentials, derivatives of composite and implicit functions, derivatives of higher order and their commutativity, Euler's theorem on homogeneous functions, harmonic functions, Taylor's expansion of functions of several variables, maxima and minima of functions of several variables - Lagrange's method of multipliers. Ordinary Differential Equations: First order differential equations - exact, linear and Bernoulli's form, second order differential equations with constant coefficients, method of variation of parameters, general linear differential equations with constant coefficients, Euler's equations, system of differential equations. Complex Variables: Limit, continuity, differentiability and analyticity of functions, Cauchy-Riemann equations, line integrals in complex plane, Cauchy-Goursat theorem, independence of path, existence of indefinite integral, Cauchy's integral formula, derivatives of analytic functions, Power series, Taylor's series, Laurent's series, Zeros and singularities, Residue theorem, evaluation of real integrals. Integral Calculus: Fundamental theorem of integral calculus, mean value theorems, evaluation of definite integrals - reduction formulae. Text Books Recommended: 1. Differential and Integral Calculus Vol.I and Vol. II by N. Piskunov 2. Differential Calculus by Shanti Narayan 3. Integral Calculus by Shanti Narayan 4. Advanced Engineering Mathematics by E. Kreyszig MA 10002 Mathematics-II (3-1-0 4) Linear Algebra: Algebra of matrices. Vector spaces - linear dependence of vectors, basis, linear transformations, rank and inverse of a matrix, solution of algebraic equations - consistency conditions, Hermitian, skew Hermitian and unitary matrices, bilinear forms, eigenvalues and eigenvectors. Integral Calculus: Convergence of improper integrals, tests of convergence, Beta and Gamma functions - elementary properties. Differentiation under integral sign, differentiation of integrals with variable limits - Leibnitz rule. Rectification, double and triple integrals, computations of area, surfaces and volumes, change of variables in double integrals - Jacobians of transformations, integrals dependent on parameters - applications. Vector Calculus: Scalar and vector fields, level surfaces, directional derivative, Gradient, Curl, Divergence, Laplacian, line and surface integrals, theorems of Green, Gauss and Stokes, line integrals independent of path. Numerical Analysis: Finite differences, Newton's forward and backward interpolation formulae, central difference interpolation formulae. Trapezoidal and Simpson's 1/3rd rules for numerical integration. Solution of polynomial and transcendental equations - bisection, Newton-Raphson and regula falsi methods. Numerical solution of system of linear equations – Gauss, Gauss-Jordan elimination and Gauss-Seidel iteration methods. Text Books Recommended: 1. Differential and Integral Calculus Vol.I and Vol. II by N. Piskunov 2. Advanced Engineering Mathematics by E. Kreyszig 3. Integral Calculus by Shanti Narayan ME10001 Mechanics (3 - 1 - 0 : 4 Credits) Force systems : Moment of a force about a point and about an axis; couple moment; reduction of a force system to a force and a couple. Equilibrium : Free body diagram; equations of equilibrium; problems in two and three dimensions; plane frames and trusses. Friction : Laws of Coulomb friction., problems involving large and small contact surfaces; square threaded screws; belt friction; rolling resistance. Kinematics and Kinetics of particles : Particle dynamics in rectangular coordinates cylindrical coordinates and in terms of path variables; central force motion. Properties of areas : Moments of inertia and product of inertia of areas, polar moment of inertia, principal axes and principal moments of inertia. Concept of stress and strain : Normal stress, shear stress, state of stress at a point, ultimate strength, allowable stress, factor of safety; normal strain, shear strain, Hooke’s law, Poisson’s ratio, generalized Hooke’s law; analysis of axially loaded members. Torsion : Torsion of cylindrical bars, torsional stress, modulus of rigidity and deformation. Flexural loading : Shear and moment in beams; load, shear and moment relationship; shear and moment diagrams; flexure formula; shear stress in beams; differential equation of the elastic curve, deflection of beams. Transformation of stress and strain : Transformation of stress and strain, principal stresses, principal strains, Mohr’s circle for stress and strain. Combined loading : Axial and torsional; axial and bending; axial, torsional and bending. Column : Buckling of slender columns, Euler bucking load for different end conditions. Books: Vector Mechanics for Engineers, F.P. Beer and E.R. Johnston, Tata McGraw-Hill (7th Edition) Reference books ; Engineering Mechanics, Irving H. Shames, Prentice Hall of India Engineering Mechanics, J.L. Meriam and L.G. Kraige, John Wiley and Sons Books : Mechanics of deformable bodies, E.P. Popov Reference books: Mechanics of materials, F.P. Beer and E.R. Johnston Mechanics of materials, Timoshenko and Gere Introduction to solid mechanics, Irving H. Shames Strength of materials, William A Nash Elements of strength of materials, Timoshenko and Young ME19001 Introduction to Manufacturing Processes (1-0-3 : 3 Credit) Theory Component : Basic concepts and principles of manufacturing Pre-forming processes: Casting, forging, rolling, drawing, extrusion, press tool work, plastic moulding and powder metallurgy. Joining processes: Welding, brazing and crimping Semi-finishing and finishing processes : Machining (Turning, shaping, drilling, Milling and grinding). Non-traditional processes: Abrasive jet machining, Ultrasonic machining, Electrodischarge machining, Electro-chemical machining and laser beam machining. Product Quality: Possible defects and their detection, assessment and remedy. Laboratory Component : Suggested Assignments Machining : 1. Introducing to various machine tools and demonstration on machining 2. Making a steel pin as per drawing by machining in centre lathe 3. External screw thread by single point chasing in lathe 4. Making a cast iron Vee block by shaping 5. Making a regular polygon prism (MS) by milling 6. Making a gauge as per drawing 7. Study of machining in machining in machining centre (CNC) and Electrodischarge machining (EDM) Foundry Practice 8. Orientation, demonstration and practice on metal casting 9. Practicing sand moulding using split and uneven parting line pattern 10. Practice on CO2 moulding and machine moulding 11. Mechanised sand preparation and melting practice Welding Practice 12. Practice on Oxy-acetylene gas welding and manual metal arc welding (running bead) 13. Practice on oxy-acetylene gas cutting and arc welding for butt welding 14. Introduction and demonstration on submerged arc welding and plasma spray coating Metal Forming 15. Demonstration of deep drawing process Books: Principles of Manufacturing Materials and Process, J S Campbell, Tata McGraw Hill Processes and Materials of Manufacture, Roy A Lindberg, Printice Hall of India Pvt. Ltd. Manufacturing Engineering and Technology, S Kalpakjian, Addison Wesley Publishing Company Materials and Processes in Manufacturing, E P DeGarmo, J T Black, R A Kohser, Prentice Hall of India Pvt. Ltd. Physics 3 - 1 - 0 : 4 Credits Overview of vibrations with emphasis on damped and forced oscillations, resonance, coupled oscillations, normal modes. Wave motion: longitudinal and transverse waves, wave equation, plane waves, phase velocity, superposition of waves, wave packets and group velocity, two and three dimensional waves, polarization. Electromagnetic waves: Maxwell’s equations, wave equation, plane electromagnetic waves, energy-momentum, Poynting’s theorem, electromagnetic boundary conditions, reflection and refraction, interference, Young’s experiment, interferometers, diffraction, Fraunhofer diffraction (single slit), dispersion, radiation. Wave mechanics: Failure of classical physics, qualitative review of relevant experiments, de Broglie waves, uncertainty principle, wave function and Schrodinger equation, probability interpretation, particle on a chain, potential barrier and quantum tunneling, potential well, qualitative summary of simple harmonic oscillator and Hydrogen atom. Occupation probability and examples. References 1. Optics by Hecht 2. Feyman Lectures in Physics, Volume I 3. Lecture Notes in Physics by Saraswat and Sastry Physics Lab 0 - 0 - 3 : 2 Credits Oscillations and Waves 1. Compound pendulum 2. Torsional pendulum 3. Forced oscillation 4. Coupled oscillations 5. Phase velocity of rope waves 6. Ultrasonic Interferometer Wave Optics 7. Newton’s rings 8. Single slit Fraunhofer diffraction 9. Double/Multiple slit Fraunhofer diffraction 10. Diffraction grating 11. Polarimetry Quantum Physics 12. Franck Hertz experiment 13. Measurement of Planck’s constant Demonstration Experiments 14. Fresnel biprism 15. Michelson Interferometer 16. Fabry-Perot Interferometer Reference Physics Laboratory Workbook for 1st Year UG Students Contact Details : Indian Institute of Technology Kharagpur Kharagpur, West Bengal 721302 03222 255 221 For detailed syllabus , here is the attachment; |
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