SYLLABUS FOR MECHANICAL ENGINEERING
SEMESTER – III
Mathematics III
(PDE, Probability & Statistics)
Module 1: (14 lectures)
Definition of Partial Differential Equations, First order partial differential equations, solutions of
first order linear PDEs; Solution to homogenous and non-homogenous linear partial differential
equations of second order by complimentary function and particular integral method. Second-order
linear equations and their classification, Initial and boundary conditions, D'Alembert's solution of
the wave equation; Duhamel's principle for one dimensional wave equation. Heat diffusion and
vibration problems, Separation of variables method to simple problems in Cartesian coordinates. The
Laplacian in plane, cylindrical and spherical polar coordinates, solutions with Bessel functions and
Legendre functions. One dimensional diffusion equation and its solution by separation of variables.
Module 2: (12 lectures)
Probability spaces, conditional probability, independence; Discrete random variables, Independent
random variables, the multinomial distribution, Poisson approximation to the binomial distribution,
infinite sequences of Bernoulli trials, sums of independent random variables; Expectation of
Discrete Random Variables, Moments, Variance of a sum, Correlation coefficient, Chebyshev's
Inequality. Continuous random variables and their properties, distribution functions and densities,
normal, exponential and gamma densities. Bivariate distributions and their properties, distribution
of sums and quotients, conditional densities, Bayes' rule.
Module 3: (12 lectures)
Basic Statistics, Measures of Central tendency: Moments, skewness and Kurtosis - Probability
distributions: Binomial, Poisson and Normal - evaluation of statistical parameters for these three
distributions, Correlation and regression – Rank correlation. Curve fitting by the method of least
squares- fitting of straight lines, second degree parabolas and more general curves. Test of
significance: Large sample test for single proportion, difference of proportions, Tests for single
mean, difference of means, and difference of standard deviations. Test for ratio of variances - Chisquare
Biology
Module 1: Introduction (2 lectures)
Purpose:To convey that Biology is as important a scientific discipline as Mathematics, Physics and
Chemistry
Bring out the fundamental differences between science and engineering by drawing a comparison
between eye and camera, Bird flying and aircraft. Mention the most exciting aspect of biology as an
independentscientific discipline. Why we need to study biology?Discuss how biological observations of 18th
Century that lead to major discoveries. Examples from Brownian motion and the origin of
thermodynamics by referring to the original observation of Robert Brown and Julius Mayor. These examples will highlight the fundamental importance of observations in any scientificinquiry.
Module 2: Classification (3 lectures)
Purpose: To convey that classification per seis not what biology is all about. The underlying criterion,
such as morphological, biochemical or ecological be highlighted.
Hierarchy of life forms at phenomenological level. A common thread weaves this hierarchy
Classification. Discuss classification based on (a) cellularity- Unicellular or multicellular (b)
ultrastructure- prokaryotes or eucaryotes. (c) energy and Carbon utilisation -Autotrophs,
heterotrophs, lithotropes (d) Ammonia excretion – aminotelic, uricoteliec, ureotelic (e) Habitataacquaticorterrestrial(e)Moleculartaxonomy-threemajor kingdomsoflife.Agivenorganismcan come
under different category based on classification. Model organisms for the study of biology come from different groups. E.coli,S.cerevisiae,D.Melanogaster,C.elegance,A.Thaliana,M.musculus
Module 3: Genetics (4 lectures)
Purpose: To convey that “Genetics is to biology what Newton’s laws are to Physical Sciences”
Mendel’s laws, Concept of segregation and independent assortment. Concept of allele. Gene
mapping,Gene interaction, Epistasis.Meiosis andMitosis be taught as apartof genetics. Emphasisto be give
not to the mechanics of cell division nor the phases but how genetic material passes from parent to
offspring. Concepts of recessiveness and dominance. Concept of mapping of phenotype to genes. Discuss
aboutthesingle genedisordersinhumans.Discusstheconceptof complementation using humangenetics.
Module 4: Biomolecules (4 lectures)
Purpose:Toconveythatall formsof lifehas thesamebuildingblocksandyet themanifestationsare
as diverse as one can imagine
Molecules of life .In this context discuss monomeric unitsand polymeric structures. Discuss about sugars,
starch and cellulose. Amino acids and proteins.Nucleotides and DNA/RNA.Two carbon units and lipids.
Module 5: Enzymes (4 lectures)
Purpose: To convey that without catalysis life would not have existed on earth.
Enzymology: How tomonitor enzyme catalysed reactions.How does an enzyme catalyze reactions? Enzyme
classification. Mechanism of enzyme action. Discuss at least two examples. Enzyme kinetics and kinetic
parameters.Why should we know these parameters to understand biology?RNAcatalysis.
Module 6: Information Transfer (4 lectures)
Purpose: The molecular basis of coding and decoding genetic information is universal
Molecular basis of information transfer. DNA as a genetic material. Hierarchy of DNA structure- from single
stranded to double helix to nucleosomes. Concept of genetic code. Universality and degeneracy of genetic
code.Define gene intermsof complementation and recombination.
Module 7: Macromolecular analysis (5 lectures)
Purpose: How to analyse biological processes at the reductionist level
Proteins- structure and function. Hierarch in protein structure. Primary secondary, tertiary and
quaternarystructure.Proteinsasenzymes,transporters,receptorsandstructuralelements.
Module 8: Metabolism (4 lectures)
Purpose:Thefundamental principles of energy transactions are the same in physical and biological
world.
Thermodynamics as applied to biological systems. Exothermic and endothermic versus endergonic and
exergoinc reactions. Concept of Keqand its relation to standard free energy. Spontaneity. ATP as an energy
currency.This should include the breakdown of glucose to CO2+H2O(GlycolysisandKrebs cycle) and synthesis
of glucose from CO2and H2O (Photosynthesis). Energy yielding and energy consuming reactions.
Concept of Energy charge
Module 9: Microbiology (3 lectures)
Concept of single celled organisms. Concept of species and strains. Identification and classification of
microorganisms. Microscopy. Ecological aspects of single celled organisms. Sterilization and media
compositions. Growthkinetics.
Basic Electronic Engineering
Module 1: (10 lectures)
Semiconductor Devices and Applications: Introduction to P-N Junction Diode and V-I characteristics, Half wave
and Full-wave rectifiers, capacitorfilter. Zener diode and its characteristics, Zener diode as voltage regulator.
Regulated powersupply IC based on 78XX and 79XX series, Introduction to BJT, its input-output and transfer
characteristics,BJTasasinglestageCEamplifier,frequencyresponseand bandwidth.
Module 2: (8 lectures)
Operational amplifier and its applications: Introduction to operational amplifiers, Op-amp input modes
and parameters, Op-amp in open loop configuration, op-amp with negative feedback,study of practical opamp IC 741, inverting and non-inverting amplifier applications: summing and difference amplifier, unity
gain buffer, comparator, integrator and differentiator.
Module 3: (6 lectures)
Timing Circuits and Oscillators: RC-timing circuits, IC 555 and its applications as table and mono-stable multivibrators, positive feedback, Barkhausen's criteria for oscillation, R-C phase shift and Wein bridge
oscillator.
Module 4: (10 lectures)
Digital Electronics Fundamentals: Difference between analog and digitalsignals, Boolean algebra, Basic and
UniversalGates, Symbols, Truthtables, logic expressions, Logic simplificationusingKmap, Logic ICs, half and
full adder/subtractor, multiplexers, de-multiplexers, flip-flops,shift registers, counters, Block diagram
ofmicroprocessor/microcontroller andtheir applications.
Module 5: (8 lectures)
Electronic Communication Systems: The elements of communication system, IEEE frequency spectrum,
Transmissionmedia:wired andwireless, need ofmodulation,AMand FMmodulation schemes,Mobile
communicationsystems:cellularconceptandblockdiagramofGSMsystem.
Engineering Mechanics
Module1: (7 lectures)
Statics:
Force System, Moment of a force about a point and an axis; Equivalent force and moment
Module2: (6 lectures)
Equilibrium:
Free body diagram;equations of equilibrium;problems in two and three dimension; plane
frames andtrusses.
Module3: (8 lectures)
Friction:
LawsofCoulombfriction,impendingmotionproblemsinvolvinglargeandsmallcontact
surfaces;square threaded screw; principle of virtualwork and stability.
Module4: (6 lectures)
Dynamics
Kinematics and kinetics of particles dynamics in rectangular coordinates cylindrical
coordinates and in terms of path variables.
Module5: (8 lectures)Properties of
areas:
Centerofmass;Momentsofinertia;kinematicsofrigidbodies;Chasle’sTheorem, concept of fixed vector,
velocity and acceleration of particlesin different frames of references. General planemotion.
Module6: (7 lectures)
Work & Energy and impulse and Momentum methods for particles and rigid bodies: Conservation of
momentum, coefficient ofrestitution,moment of momentumequation
Thermodynamics
Module1: (5 lectures)
Fundamentals - System & Control volume; Property, State & Process; Exact & Inexact
differentials; Work-Thermodynamic definition of work; examples; Displacement work; Path
dependence of displacement work and illustrations for simple processes; electrical,
magnetic, gravitational, spring and shaft work.
Module2: (5 lectures)
Temperature, Definition of thermal equilibrium and Zeroth law; Temperature scales; Various
Thermometers- Definition of heat; examples of heat/work interaction in systems- First Law for
Cyclic & Non-cyclic processes; Concept of total energy E; Demonstration that E is a property;
Various modes of energy, Internal energy and Enthalpy.
Module3: (8 lectures)
Definition of Pure substance, Ideal Gases and ideal gas mixtures, Real gases and real gas
mixtures, Compressibility charts- Properties of two phase systems - Const. temperature and
Const. pressure heating of water; Definitions of saturated states; P-v-T surface; Use of steam
tables; Saturation tables; Superheated tables; Identification of states & determination of
properties, Mollier’s chart.
Module4: (5 lectures)
First Law for Flow Processes - Derivation of general energy equation for a control volume;
Steady state steady flow processes including throttling; Examples of steady flow devices;
Unsteady processes; examples of steady and unsteady I law applications for system and
control volume
Module5: (5 lectures)
Second law - Definitions of direct and reverse heat engines; Definitions of thermal efficiency
and COP; Kelvin-Planck and Clausius statements; Definition of reversible process; Internal and
external irreversibility; Carnot cycle; Absolute temperature scale.
Module6: (8 lectures)
Clausius inequality; Definition of entropy S ; Demonstration that entropy S is a property; Evaluation of
Entropy for solids, liquids, ideal gases and ideal gas mixtures undergoing various processes;
Determination of entropy from steam tables-Principle of increase of entropy; Illustration of
processes in T-s coordinates; Definition of Isentropic efficiency for compressors, turbines and nozzlesIrreversibility and Availability, Availability function for systems and Control volumes undergoing
different processes, Lost work. Second law analysis for a control volume. Exergy balance equation
and Exergy analysis.
Module7: (4 lectures)
Properties of dry and wet air, use of psychometric chart, processes involving heating/cooling and
humidification/dehumidification, dew point.
Machine Drawing
Module 1: (2 Lectures)
Introduction to full section, half section, revolved-section off-set section.
Module 2: (3 Lectures)
Nut Bolts, Riveted joints, Thread profiles, Screw jack.
Module3: (3 Lectures)
Bushed bearing, pedestal, bearing, foot step bearing.
Module 4: (2 Lectures)
Flanged coupling, flexible coupling, solid coupling.
Module5: (2 Lectures)
Engine parts - Stuffing box, Connecting rod, Atomizer, spark plug, etc.
Module 6: (2 Lectures)
Eccentric.
Module 7: (2 Lectures)
Cross Head.
Module 8: (2 Lectures)
Assembly of dissembled parts. disassembly of assembly parts
