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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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;