SEMESTER I
MA 101
Mathematics I (3
1 0 8)
Pre-requisites: Nil
Calculus: Review of the prerequisites such as
limits of sequences and functions. Continuity, uniform continuity and
differentiability. Rolle’s theorem, mean value theorems and Taylor ’s theorem. Infinite series of real and
complex numbers. Cauchy Criterion, tests for convergence. Riemann integral and
the fundamental theorem of integral calculus. Application to length, area,
volume, surface area of revolution.
Linear Algebra: Vector spaces (over the field
of real and complex numbers). Matrices and determinants, linear
transformations. Systems of linear equations and their solutions. Rank of a
matrix. Inverse of a matrix. Bilinear and quadratic forms. Eigenvalues and
eigenvectors. Similarity transformations. Diagonalisation of Hermitian
matrices.
Ordinary Differential Equations: First order
ordinary differential equations, exactness and integrating factors. Variation
of parameters. Picard’s iteration. Ordinary linear differential equations of n-th
order, solutions of homogeneous and non-homogeneous equations. Operator method.
Method of undetermined coefficients and variation of parameters.
Text/References:
1.
G.
B. Thomas and R. L. Finney, Calculus and Analytic Geometry, 6th
Ed, Narosa, 1985.
2.
T.
M. Apostol, Calculus, Volume I, 2nd Ed, Wiley, 1967.
3.
K.
Hoffman and R. Kunze, Linear Algebra, Prentice Hall, 1996
4.
T.
M. Apostol, Calculus, Volume II, 2nd Ed, Wiley, 1969.
5.
S.
L. Ross, Differential Equations, 3rd Ed, John Wiley, 1984.
6.
E.
A. Coddington, An Introduction to Ordinary Differential Equations,
Prentice Hall, 1995.
7.
E.
Kreyszig, Advanced Engineering Mathematics, 5th/8th
Ed, Wiley Eastern/John Wiley, 1983/1999.
CH 101 Chemistry
(3
1 0 8)
Pre-requisites: Nil
Structure and Bonding: Origin of quantum
theory. Postulates of quantum mechanics. Schrodinger wave equation: operators
and observable, superposition theorem and expectation values, solutions for
particle in a box, harmonic oscillator, rigid rotator, hydrogen atom. Selection
rules of microwave and vibrational spectroscopy. Spectroscopic term symbol.
Molecular orbital: LCAO-MO, Huckle theory of conjugated systems. Rotational,
vibrational and electronic spectroscopy.
Chemical thermodynamics: The zeroth and first
law. Work, heat, energy and enthalpies. The relation between Cv and
Cp. Second law: entropy, free energy (the Helmholtz and Gibbs) and
chemical potential. Third law: Chemical equilibrium. Chemical kinetics: The
rate of reaction, elementary reaction and chain reaction.
Surface: The properties of liquid surface,
surfactants, colloidal systems, solid surfaces, physisorption, and
chemisorption.
The periodic table of elements, shapes of
inorganic compounds, chemistry of materials.
Coordination compounds: ligand, nomenclature,
isomerism, stereochemistry, valence bond, crystal field and molecular orbital
theories.
Bioinorganic chemistry and organometallic
chemistry.
Stereo and regio-chyemistry of organic
compounds, conformers.
Pericyclc reactions, organic photochemistry.
Bioorganic chemistry:amino
acids, peptides, proteins, enzymes, carbohydrates, nucleic acids and lipids.
Macromolecules(polymers).
Modern techniques in structural elucidation
of compounds (UV – Vis , IR, NMR)
Solid phase synthesis and combinatorial
chemistry.
Green chemical processes.
Text:
1.
P.
W. Atkins, Physical Chemistry, ELBS, 5th Ed, 1994.
2.
C.
N. Banwell and E. M. McCash, Fundamentals of Molecular Spectroscopy, 4th
Ed, Tata McGraw_Hill, 1962.
3.
F.
A. Cotton and G. Wilkinson, Advanced Inorganic Chemistry, 3rd
Ed, Wiley Eastern Ltd, New Delhi, 1972 (reprint in 1998).
4.
D.
J. Shriver, P. W. Atkins and C. H. Langford, Inorganic Chemistry, ELBS,
2nd Ed, 1994.
5.
S.
H. Pine, Organic Chemistry, McGraw_Hill, 5th Ed, 1987
References:
1.
I.
A. Levine, Physical Chemistry, McGraw_Hill, 4th Ed, 1995.
2.
I.
A. Levine, Quantum Chemistry, EE ED.Prentice Hall.
3.
G.
M. Barrow, Introduction to Molecular Spectroscopy, International Ed,
McGraw_Hill, 5th edition, 1962.
4.
J.
E. Huheey, E. A. Keiter and R. L. Keiter, Inorganic Chemistry: Principle,
structure and reactivity, 4th Ed, Harper Collins, 1993.
5.
L.
G. Wade Jr., Organic Chemistry, 1987.
CH 110 Chemistry
Lab
(0 0 3 3 )
Estimation of metal ion: Determination of
total hardness of water by EDTA titration.
Experiments based on chromatography: Identification
of a mixture containing two organic compounds by TLC.
Experiments based on pH metry.: Determination
of dissociation constant of weak acids by
pH meter.
Experiments based on conductivity
measurement: Determination of amount of HCl by conductometric titration with
NaOH.
Synthesis and characterization of inorganic
complexes: e. g. Mn(acac)3, Fe(acac)3, cis-bis(glycinato)copper(II)
monohydrate and their characterization by m. p. IR etc.
Synthesis and characterization of organic
compounds: e.g. p-nitroacetanilide, aspirin.
Kinetics: Acid catalysed hydrolysis of
methylacetate.
Verification of Bees-Lamberts law and
determination of amount of iron present in a supplied solution.
Experiments based on electrogravimetry and
electroplating.
Experiments based on magnetometry.
In addition to these there
will be a lecture on environmental awareness and on errors in data analysis.
ME 110 Workshop
– I
(0 0 3 3)
Introduction to wood working, hand tools and
machines; Introduction to fitting shop tools, equipment and operations;
Introduction to sheet metal work; Introduction to pattern making; Introduction
to molding and foundry practice; Simple exercises in wood working, pattern
making, fitting, sheet metal work and molding.
Text:
1.
Hajra
choudhury, Elements of Workshop Technology, Vol I, Asia Publishing
House, 1986.
2.
H
Gerling, All About Machine Tools, New Age International, 1995.
3.
W
A J Chapman, Workshop Technology, Oxford
IBH, 1975.
EC 101 Electrical
Sciences (3
1 0 8)
Pre-requisites: Nil
Circuit Analysis
Techniques: Circuit elements, Simple RL and RC Circuits, Ohm’s law, Kirchoff’s
law, Nodal Analysis, Mesh Analysis, Linearity and Superposition, Source
Transformations, Thevnin’s and Norton’s Theorems, Sinusoidal Forcing Function,
Complex Forcing Function, Phasor Relationship for R, L and C, Impedance and
Admittance, Phasor Diagrams, Response as a Function of w.
Diodes and Transistors: Semiconductor Diode,
Zener Diodes, Rectifier Circuits, Wave Shaping Circuits, Bipolar Junction
Transistors, Field –Effect Transistors, Transistors Biasing, Transistor Small
Signal Analysis, Transistor Amplifiers.
Operational Amplifiers: Op-amp Equivalent
Circuit, Practical Op-amp Circuits, DC Offset, Constant Gain Multiplier,
Voltage Summing, Voltage Buffer, Controlled Sources, Instrumentation Circuits,
Active Filters and Oscillators.
Logic Gates and Combinational Circuits: Number Systems and Codes, Logic Gates,
Boolean Theorems, De Morgan’s Theorems, Sum-of-Product Form, Algebric
Simplification, Karnaugh Map Method, Parity Generator and Checker, Inhibit
Circuits.
Sequential Circuits and Arithmetic Circuits:
NAND and NOR Gate Latches, S-C Flip-Flop, J-K Flip-Flop, D-Flip-Flop, Data
Storage, Serial Data Transfer, Frequency Division and Counting, Binary
Addition, 2’s Complement Systems, Full Adder, BCD Adder.
Transformers and AC Machines: Ideal
Transformer, Circuit Model of Transformer, Determination of Parameters of
Circuit Model of Transformer, Voltage Regulation, Efficiency, Three Phase
Induction Motor, Three Phase Synchronous Generator, Induced Voltage,
Electromagnetic Torque, Equivalent Circuit of Three phase Induction Motor,
Torque Speed Characteristics.
Fractional _kW Motors and DC Machines: Single
Phase Induction Motors, Characteristics and typical Applications, Stepper
Motors, Construction Features, Methods of Operations, DC Generator and DC Motor
Analysis, Methods of Excitation, Speed Torque Characteristics and Speed Control
of Dc Machines.
Electrical Engineering Systems: Transmission
and Distribution Power Systems, Open loop and Closed-loop Control Systems,
Satellite Control Systems, Communication Systems, Amplitude Modulation and
Demodulation, Speech Analysis and Synthesis Systems.
Text:
1.
W.
H. Hayt and J. E. Kemmerly, Engineering Circuit Analysis, McGraw-Hill, 1993.
2.
R.
J. Smith and R. C. Dorf, Circuits, Devices and Systems, John Wiley &
Sons, 1992.
3.
R.
L. Boylestad and L. Nashelsky, Electronic Devices and Circuit Theory,
PHI, 6th Ed, 2001.
4.
R.
J. Tocci, Digital Systems, PHI, 6th Ed, 2001.
5.
V.
Del Toro, Electrical Engineering Fundamentals, PHI, 1994.
ME 111 Engineering
Drawing (2
0 4 7)
Pre-requisites: Nil
Lettering and Dimensioning: Introduction to various
terms; instruments IS 9609 provisions, lettering practice, vertical and
inclined lettering and numerals of type A and type B. Elements of dimensioning
and systems of dimensioning; shape identification dimensioning.
Geometric Constructions and Engineering
Curves: Division of lines, curves, angles and other simple construction
elements. Conic sections –parabola, ellipse and hyperbola. Spiral, involute and
helix. Cycloidal curves.
Orthographic projections: First and Third
Angle Projections; Projection of straight lines; lines inclined to both HP and
VP.
Auxiliary Planes: Auxiliary inclined and
vertical planes, shortest distance between two lines.
Projection of Plane Surfaces: Projections of
planes in simple and complex positions.
Projection of Solids: Classification of
solid. Projections in simple and complex positions of the axis of the solid.
Combination of solids.
Sections of Solids: Sectional views and true
shape of the section.
Intersection of Surfaces: Edge view and
section plane method. Intersections of plane edge and round surface solids.
Development of Surfaces: Methods of
developments, development of various solids, transition pieces, spheres.
Isometric Projection: Axonometric
Projections, Isometric projections of simple and combination of solids.
Oblique Projections: Cabinet and Cavalier
projections.
Perspective Projection: Orthographic
representation of a perspective setup, vanishing point and visual ray method.
Three point perspective.
Computer Aided Drawing: Essential features of
computer aided drafting. Introduction to AutoCAD. Drawing solids and their
projections from previous exercises in AutoCAD.
Text:
1.
K.
R. Gopalakriswhna, Engineering Drawings, Subhas Stores, Bangalore , 2001.
References:
1.
N.
D. Bhatt and V. M. Panchal, Engineering Drawing, Charotar book stall,
Anand, 2001
2.
N.
Sidheswar, P. Kanniah and V. V. S. Sastry, Machine Drawing, Tata-McGraw
Hill, New Delhi ,
1980
3.
T.
E. French, C. J. Vireck and R. J. Foster, Graphic Science and Design, 4th
Ed, McGraw Hill, New York, 1984
4.
W.
J. Luzadder and J. M. Duff, Fundamentals of Engineering Drawing,
Prentice-Hall India , New Delhi , 1995
5.
K.
Venugopal, Engineering Drawing and Graphics, 2nd Ed, New Age
International, 19994.
PH101 Physics
I
(2 1 0 6)
Pre-requisites: Nil
Classical Mechanics: Position, velocity and
acceleration vectors in plane polar coordinate. Newton ’s laws of motion. Fundamental forces.
Contact forces. System of Particles. Conservation of momentum. Work-energy
theorem. Line integral of a vector field. Conservative forces. Gradient of a
scalar field. Potential energy and equilibrium. Conservation of energy. Angular
momentum. Rotation about fixed axis. Torque. Motion involving translation and
rotation. Vector nature of angular velocity and angular momentum. The
Gyroscope. Pseudo forces. Rotating frame. Centrifugal and Coriolis forces.
Foucault pendulum.
Special Theory of Relativity: Result of
Michelson-Morley Experiment. Postulates of STR. Galilean transformation.
Lorentz transformation. Simultaneity. Length contraction. Time dilation.
Relativistic addition of velocities.
Quantum Mechanics: Failure of classical
concepts. De Broglie’s hypothesis. Davison and Germer’s experiment.
Uncertainity Principle, Wave packets. Phase and Group velocities. Schrodinger
equation.
Probabilities and Normalization. Expectation
values. Eigenvalues and eigenfunctions. Applicationa in one dimension: Particle
in a box, Finite Potential well, Steps and Barriers, Harmonic oscillator.
Texts:
1.
D.
Kleppner and R. J. Kolenkow, An Introduction to Mechanics, Tata
McGraw-Hill, New Delhi ,
2000.
2.
K.
Krane, Modern Physics, John Wiley, Singapore , 1998.
References:
1. R. P. Feynman, R. B. Leighton and M.
Sands, The Feynman Lecture in Physics, Vol I, Norosa Publishing House,
New Delhi, 1998.
2. J. M. Knudsen and P. G. Hjorth,
Elements of Newtonian Mechanics, Springer, 1995.
3.
R.
Resnick, Introduction to Special Relativity, John Wiley, Singapore ,
2000.
4.
A.
Beiser, Concepts of Modern Physics, Tata McGraw-Hill, New Delhi , 1995
SEMESTER II
MA 102
Mathematics II (3
1 0 8)
Pre-requisites: Nil
Calculus: Review of vectors. Vector functions
of one variable and their derivatives, Functions of several variables, Partial
derivatives, Chain rule, Gradient and directional derivative. Tangent planes
and normals. Maxima, minima, saddle points, Lagrange multipliers, Exact
differentials. Repeated and multiple integrals with application to volume,
surface area, moments of inertia. Change of variables. Vector Fields, surface
integrals, line integrals. Green’s, Gauss and Stoke’s theorem and their
applications.
Ordinary Differential Equations: Systems of
ordinary differential equations, Phase plane, Critical point, Stability. Power
series, Radius of convergence. Power series methods for solutions of ordinary
differential equations. Legendre equation and Legendre polynomials, Bessal
equation and Bessel functions of first and second kind.
Numerical Analysis: Newton ’s method for approximate solution,
Polynomial interpolation, Interpolation by spline functions, Approximate
integration, III-conditioning of linear systems, Method of Gauss and least
squares, Gerschgorin’s theorem, Finding eigenvalues by iteration.
Texts/References:
1.
T.
M. Apostol, Calculus, Volume II, 2nd Ed, Wiley, 1969.
2.
G.
B. Thomas and R. L. Finney, Calculus and Analytic Geometry, 6th
Ed, Narosa, 1985.
3.
K.
E. Atkinson, Introduction to Numerical Analysis, 2nd Ed, John
Wiley, 1989
4.
S.
D. Conte and Carl de Boor, Elementary Numerical Analysis-An Algorithmic
Approach, 3rd Ed, McGraw-Hill ,
New York , 1980.
5.
S.
L. Ross, Differential equations, 3rd Ed, John Wiley, 1984.
6.
E.
A. Coddington, An Introduction to Ordinary Differential Equations,
Prentice Hall, 1995.
7.
E.
Kreyszig, Advanced Engineering Mathematics, 5th Ed, Wiley
Eastern/John Wiley. 1983.
8.
M.
K. Jain, S. R. K. Iyenger and R. K. Jain, Numerical Methods for Scientific
and Engineering Computation, 3rd Ed, New Age International, 1993.
ME 101 Engineering
Mechanics (3 1 0 8)
Pre-requisites: Nil
Rigid body static:
Equivalent force system. Equations of equilibrium, Free body diagram, Reaction,
Static indeterminacy and partial constraints, Two and three force systems.
Structures: 2D truss, Method of joints,
Method of section. Frame, Beam, types of loading and supports, Shear Force and
Bending Moment diagram, relation among load-shear force-bending moment.
Friction: Dry friction (static and
kinematics), wedge friction, disk friction (thrust bearing), belt friction,
square threaded screw, journal bearings (Axle friction), Wheel friction,
Rolling resistance.
Center of Gravity and Moment of Inertia:
First and second moment of area and mass, radius of gyration, parallel axis
theorem, product of inertia, rotation of axes and principal M. I., Thin plates,
M.I. by direct method (integration), composite bodies.
Virtual work and Energy method: Virtual
Displacement, principle of virtual work, mechanical efficiency, work of a
force/couple (springs etc.), Potential Energy and equilibrium, stability.
Kinematics of Particles: Rectilinear motion,
curvilinear motion rectangular, normal tangential, polar, cylindrical,
spherical (coordinates), relative and constrained motion, space curvilinear motion.
Kinetics of Particles: Force, mass and
acceleration, work and energy, impulse and momentum, impact.
Kinetics of Rigid Bodies: Translation, fixed
axis rotation, general planner motion, work-energy, power, potential energy,
impulse-momentum and associated conservation principles, euler equations of
motion and its application.
Texts/References:
1.
I.
H. Shames, Engineering Mechanics: Statics and dynamics, 4th
Ed, PHI, 2002.
2.
F.
P. Beer and E. R. Johnston, Vector Mechanics for Engineers, Vol I -
Statics, Vol II – Dynamics, 3rd Ed, Tata McGraw Hill, 2000.
3.
J.
L. Meriam and L. G. Kraige, Engineering Mechanics, Vol I – Statics, Vol
II – Dynamics, 5th Ed, John Wiley, 2002.
4.
R.
C. Hibbler, Engineering Mechanics, Vol I and II, Pearson Press, 2002.
5.
Andy
ruina and Rudra Pratap, Introduction to Statics and Dynamics
EC 102 Basic
Electronics laboratory (0
0 4
4)
Laboratory course for EC 102: Electrical
Sciences.
CS 101 Introduction
to Computing (3
0 0 6)
Pre-requisites: Nil
Introduction: What is a program? Digital
computer fundamentals; languages; OS.
Imperative programming: Types; Operations;
Expressions; Control-flow constructs; Functions and program structure; I/O
operations; Files etc.
Basic data structure: Arrays; lists,
pointers, records etc.
The C programming language will be used to
describe the algorithms. Exposure to FORTRAN, programming environments will
also be provided.
Text:
1.
Rajaraman
V., Computer Programming in C, Prentice Hall India , 1994.
Reference:
1.
Kernighan
B. and Ritchie D., The Programming Language, Prentice Hall India ,
1995.
CS 110 Computer
Laboratory (0
0 3 3)
Laboratory experiments will be set in
consonance with the material covered in CS 101. This will include assignments
in a programming language like C.
Reference:
2.
Kernighan
B., Ritchie D., The Programming Language, Prentice Hall India ,
1995.
BT 101 Modern
Biology (3
1 0 8)
Pre-requisites: Nil
Diversity in Biological systems (Organismal
Biology).
Cell Biology and Cell Structure, biological
membranes, bioenergetics.
DNA as genetic material, Structure of DNA,
Transcription, Translation.
Genes to Proteins to Function.
Gene expression and regulation.
Protein synthesis.
Regulation of protein synthesis.
Genetics.
Recombinant DNA.
Signal transduction.
Texts:
1.
B.
Alberts, A. Johnson, J. Lewis, M. Raff, K. Roberts and P. Walter, Molecular
Biology Of the Cell, 4th Ed, Garland Science, New York, 2002.
2.
J.
M. Berg, J. L. Tymoczko and L. Stryer, Biochemistry, 5th ed,
W. H. Freeman & Co, New York, 2002.
3.
R.
Y. Stanier, J. L. Ingraham, M. L. Wheelis and P. R. Painter, General
Microbiology, 5th Ed, Macmillan Press, London, 1987.
4.
J.
Watson, N. Hopkins, J. W. Roberts, J. A. Steitz and A. M. Weiner, Molecular
Biology of the Gene, 4th Ed, Benjamin Cummings, Singapore, 1987.
5.
D. L. Nelson and M. M. Cox, Lehninger
Principles of biochemistry, Macmillan Worth, New York , 2000.
6.
C.
R. Cantor and P. R. Schimmel, Biophysical Chemistry Parts I, II and III,
W. H. Freeman & co, San Francisco, 1980.
PH 102 Physics
II (2
1 0 6)
Pre-requisites: Nil
Vector Calculus: Gradient, Divergence and
Curl. Line, Surface and Volume integrals. Gauss’s divergence theorem and
Stokes’ theorem in Cartesian, Spherical polar and cylindrical polar
coordinates. Dirac Delta function.
Electrodynamics: Coulomb’s law and
Electrostatic field, Fields of continuous charge distributions. Gauss’s law and
its applications. Electrostatic Potential. Work and Energy. Conductors,
capacitors. Laplace ’s equation. Method of
images. Dielectrics. Polarization. Bound charges. Energy in dielectrics.
Boundary conditions. Lorentz force. Biot-Savart and Ampere’s laws and their
applications. Vector Potential. Force and torque on a magnetic dipole. Magnetic
materials. Magnetization, Bound currents. Boundary conditions. Motional EMF,
Ohm’s law. Faraday’s law. Lenz’s law. Self and Mutual inductance. Energy stored
in magnetic field. Maxwell’s equations.
Optics: huygens’ principle. Young’s
experiment. Superposition of waves. Concepts of coherence sources. Interference by division of wavefront.
Fresnel’s biprism, Phase change on reflection. Lioyd’s mirror. Interference by
division of amplitude. Parallel film. Film of varying thickness. Colours of
thin films. Newton ’s
rings. The Michelson interferometer. Fraunhofer diffraction. Single slit,
double slit and N-slit patterns. The diffraction grating.
Text:
1.
D.
j. Griffiths , Introduction to Electrodynamics,
Prentice Hall, New Delhi ,
1995.
2.
F.
A. Jenkins and H. E. White, Fundamentals of Optics, McGraw-Hill, 1981.
Reference:
1.
R.
P. Feynman, R. B. Leighton and M. Sands, The Feynman Lecture in Physics,
Vol I, Norosa Publishing House, New Delhi, 1998
2.
I.
S. Grant and W. R. Philips, Electromagnetism, John Wiley, 1990.
3.
E.
Hecht, Optics, Addison-Wesley, 1987.
PH 110 Physics
Laboratory (0
0 3 3)
Experiments will be mostly based on topics
covered in PH 101 and PH 102