NIT Calicut B.Tech Syllabus

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Mathematics-I
NIT Calicut B.Tech first year syllabus
Module I: Preliminary Calculus & Infinite Series (9L + 3T)
Preliminary Calculus : Partial differentiation, Total differential and total derivative,
Exact differentials, Chain rule, Change of variables, Minima and Maxima of functions of two or
more variables.
Infinite Series : Notion of convergence and divergence of infinite series, Ratio test, Comparison
test, Raabe’s test, Root test, Series of positive and negative terms, Idea of absolute convergence,
Taylor’s and Maclaurin’s series.
Module II: Differential Equations (13L + 4T)
First order ordinary differential equations: Methods of solution, Existence and uniqueness of
solution, Orthogonal Trajectories, Applications of first order differential equations.
Linear second order equations: Homogeneous linear equations with constant coefficients,
fundamental system of solutions, Existence and uniqueness conditions, Wronskian, Non
homogeneous equations, Methods of Solutions, Applications.
Module III: Fourier Analysis (10 L+ 3T)
Periodic functions : Fourier series, Functions of arbitrary period, Even and odd functions, Half
Range Expansions, Harmonic analysis, Complex Fourier Series, Fourier Integrals, Fourier
Cosine and Sine Transforms, Fourier Transforms.
Module IV: Laplace Transforms (11L + 3T)
Gamma functions and Beta functions, Definition and Properties. Laplace Transforms, Inverse
Laplace Transforms, shifting Theorem, Transforms of derivatives and integrals, Solution of
differential Equations, Differentiation and Integration of Transforms, Convolution, Unit step
function, Second shifting Theorem, Laplace Transform of Periodic functions.
Text Book:
Kreyszig E, ‘Advanced Engineering Mathematics’ 8th Edition, John Wiley & Sons New York,
(1999)
Reference Books:
1. Piskunov, ‘Differential and Integral Calculus, MIR Publishers, Moscow (1974).
2. Wylie C. R. & Barret L. C ‘Advanced Engineering Mathematics’ 6th Edition, Mc
Graw Hill, New York, (1995).
3. Thomas G. B. ‘Calculus and Analytic Geometry’ Addison Wesley, London (1998).
MA1002 - MATHEMATICS II
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Module I (11 L + 3T)
Linear Algebra I: Systems of Linear Equations, Gauss’ elimination, Rank of a matrix,
Linear independence, Solutions of linear systems: existence, uniqueness, general form.
Vector spaces, Subspaces, Basis and Dimension, Inner product spaces, Gram-Schmidt
orthogonalization, Linear Transformations.
Module II (11 L+ 3T)
Linear Algebra II: Eigen values and Eigen vectors of a matrix, Some applications of Eigen
value problems, Cayley-Hamilton Theorem, Quadratic forms, Complex matrices, Similarity of
matrices, Basis of Eigen vectors – Diagonalization.
Module III (10L+3T)
Vector Calculus I: Vector and Scalar functions and fields, Derivatives, Curves, Tangents,
Arc length, Curvature, Gradient of a Scalar Field, Directional derivative, Divergence of a vector
field, Curl of a Vector field.
Module IV (11 L+4T)
Vector Calculus II: Line Integrals, Line Integrals independent of path, Double integrals,
Surface integrals, Triple Integrals, Verification and simple applications of Green’s Theorem,
Gauss’ Divergence Theorem and Stoke’s Theorem.
Text Book:
Kreyzig E, Advanced Engineering Mathematics, 8th Edn, John Wiley & Sons, New York
(1999).
Reference Books:
1. Wylie C. R & Barrret L. C, Advanced Engineering Mathematics, 6th Edn, Mc Graw
Hill, New York (1995).
2. Hoffman K & Kunze R, Linear Algebra, Prentice Hall of India, New Delhi (1971).
PH1001 PHYSICS
Module 1 – Theory of Relativity (6 hours)
Frames of reference, Galilean Relativity, Michelson-Morley experiment, postulates of Special
Theory of Relativity, Lorentz transformations, simultaneity, length contraction, time dilation,
velocity addition, Doppler effect for light, relativistic mass and dynamics, mass energy relations,
massless particles, Description of General Theory of Relativity.
Module 2 - Quantum Mechanics (10 hours)
Dual nature of matter, properties of matter waves, wave packets, uncertainty principle,
formulation of Schrödinger equation, physical meaning of wave function, expectation values,
time-independent Schrödinger equation, quantization of energy – bound states, application of
time-independent Schrödinger equation to free particle, infinite well, finite well, barrier
potential, tunneling, Simple Harmonic Oscillator, two-dimensional square box, the scanning
tunneling microscope.
Module 3 – Statistical Physics (12 hours)
Temperature, microstates of a system, equal probability hypothesis, Boltzman factor and
distribution, ideal gas, equipartition of energy, Maxwell speed distribution, average speed, RMS
speed, applications – Lasers and Masers, Quantum distributions – many particle systems, wave
functions, indistinguishable particles, Bosons and Fermions, Bose-Einstein and Fermi-Dirac
distribution, Bose-Einstein condensation, Specific heat of a solid, free electron gas and other
applications.
Module 4 – Applications to Solids (14 hours)
Band theory of solids, conductors, semi-conductors and insulators, metals – Drude model and
conductivity, electron wave functions in crystal lattices, E-k diagrams, band gaps, effective
mass, semiconductors, Fermi energy, doping of semiconductor, conductivity and mobility of
electrons, Hall effect, Fundamentals of mesoscopic physics and nano technology: size effects,
interference effect, quantum confinement and Coulomb blockade. Quantum wells, wires, dots,
nanotubes, semiconductor nano materials, Magnetism: dipole moments, paramagnetism, Curie’s
law, magnetization and hysterisis, Ferromagnetism and Anti-Ferromagnetism.
Text Books
1. Modern Physics for Scientists and Engineers, J. R. Taylor, C.D. Zafiratos and M. A. Dubson,
2nd Ed., Pearson (2007)
2. Concepts of Modern Physics Arthur Beiser, 6th Ed., Tata Mc Graw –Hill Publication (2009)
References
1. Quantum Physics of atoms, Molecules, Solids, Nuclei and Particle, Robert Eisberg and
Robert Resnick, 2nd Ed., John Wiley(2006)
2. Solid state Devices, B. G. Streetman, 5th Ed., Pearson (2006)
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CY1001: Chemistry
Pre-requisites: Nil
Module 1: Chemical Bonding (8 hours)
Quantum mechanical methods in chemical bonding: molecular orbital theory, symmetry of
molecular orbitals, MOs for homonuclear diatomic molecules, application of MO theory to
heteronuclear diatomics, valence bond theory, hybridization, hybridization involving d orbitals,
conjugated molecules, Huckel molecular orbital theory of conjugated systems, metallic bonding,
band theory .
Module2: Spectroscopy (14 hours)
General features of spectroscopy, interaction of radiation with matter, theory and application of
rotational, vibrational, Raman, electronic, mass, NMR, fluorescence and photoelectron
spectroscopy.
Module 3: Transition Metal Chemistry (12 hours)
Bonding in transition metal complexes: coordination compounds, crystal field theory, octahedral,
tetrahedral and square planar complexes, crystal field stabilization energies, Jahn-Teller theorem,
spectral and magnetic properties.
Bio-Inorganic chemistry: Trace elements in biology, heme and non-heme oxygen carriers,
haemoglobin and myoglobin-cooperativity; Bohr effect, Hill coefficient, oxy and deoxy
haemoglobin, reversible binding of oxygen.
Module 4: Aromaticity (8 hours)
Electron delocalization, resonance and aromaticity; molecular orbital description of aromaticity
and anti-aromaticity, annulenes; ring current, NMR as a tool, diamagnetic anisotropy; aromatic
electrophilic substitutions, aromatic nucleophilic substitutions, benzyne; reaction mechanisms,
reactivity and orientation.
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Text Books:
1. J. E. Huheey, E.A. Keiter and R.L. Keiter, Inorganic Chemistry, Principles of Structure
and Reactivity, Harper Collins, New York 1997.
2. F. A. Cotton and G Wilkinson, Advanced Inorganic Chemistry, 5th Edition, Wiley
Interscience, New York, 1988.
3. J. D. Lee, Concise Inorganic Chemistry, Chapman & Hall, London, 1996.
4. W. L. Jolly, Modern Inorganic Chemistry, McGraw-Hill International, 2nd Edition, New
York, 1991.
5. R. T. Morrison and R N Boyd, Organic Chemistry, 6th Edition, Prentice Hall, New Delhi,
1999.
6. P. Bruice, Organic Chemistry, 3rd Edition, Prentice Hall, New Delhi , 2001.
7. F. Carey, Organic Chemistry, 5th Edition, McGraw Hill Publishers, Boston, 2003.
8. J. Mc Murray, Organic Chemistry, 5th Edition, Brooks/ Cole Publishing Co, Monterey,
2000.
9. C.N. Banwell and E. M. McCash, Fundamentals of Molecular Spectroscopy, McGraw-
Hill, International, UK, 1995.
10. William Kemp, Organic Spectroscopy, 3rd edition, Palgrave, New York, 2005.
11. R.M. Silverstein, F.X. Webster and D.J. Kiemle, Spectrometric Identification of Organic
Compounds, 7th edition, John-Wiley and Sons, New York, 2005.
12. D. L. Pavia, GM. Lampman, GS. Kriz and J.R Vyvyan, I, Spectroscopy, Cengage
Learning India Pvt. Ltd, New Delhi, 2007.
13. B. R.Puri, L. R. Sharma and M. S. Pathania, Principles of Physical Chemistry, Vishal
Publishing CO. Delhi, 2008.
14. P.W. Atkins, Physical Chemistry, 6th Edition, Oxford University Press, Oxford, 1998.
MS1001 PROFESSIONAL COMMUNICATION
Module 1 (11 hours)
Verbal Communication: received pronunciation; how to activate passive vocabulary;
technical/non-technical and business presentations; questioning and answer skills; soft skills for
professionals; role of body postures, movements, gestures, facial expressions, dress in effective
communication; Information/ Desk/ Front Office/ Telephone conversation; how to face an
interview/press conference; Group discussions, debates, elocution.
Module 2 (9 hours)
Reading Comprehension: skimming and scanning; factual and inferential comprehension;
prediction; guessing meaning of words from context; word reference; use and interpretation of
visuals and graphics in technical writing.
Module 3 (11 hours)
Written Communication: note making and note taking; summarizing; invitation, advertisement,
agenda, notice and memos; official and commercial letters; job application; resume and
curriculum vitae; utility, technical, project and enquiry reports; paragraph writing: General –
Specific, Problem – Solution, Process – Description, Data – Comment.
M
odule 4 (11 hours)
Short essays: description and argument; comparison and contrast; illustration; using graphics in
writing: tables and charts, diagrams and flow charts, maps and plans, graphs; how to write
research paper; skills of editing and revising; skills of referencing; what is a bibliography and
how to prepare it.
Text Books
1. Adrian Doff and Christopher Jones: Language in Use – Upper intermediate, selfstudy
workbook and classroom book. (Cambridge University Press)[2000]
2. Sarah Freeman: Written Communication (Orient Longman)[1978]
3. Mark Ibbotson: Cambridge English for Engineering (Cambridge University
Press) November 2008
4. T Balasubramanian: English Phonetics for Indian Students: A Workbook
(Macmillan publishers India) 2000
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