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Programme of Study
B. Tech. /B.S. Innovation with Mathematics and IT
The University of Delhi, offers an unique programme of study that shall enable the
student to pursue her goals and career objectives from a choice of several highly
relevant and modern disciplines. These choices and goals shall be accessed
through pathways that are based on mathematics and IT and will allow students to
recognize the fact that disciplines are connected and need each other. The student
shall also be able to recognize the importance and centrality of mathematics and the
advantages of using IT as a vehicle for connecting mathematics with other
disciplines and for building simulation based interactive models. In addition to having
built up deep knowledge in mathematics and computer science, the student shall
have the freedom to acquire expertise at a deep level in one of the following:
genetics and molecular biology or management and economics or electronics,
The mode of learning shall be a healthy and productive blend of the formal and the
inquiry based; of the ‘hands on’ approach with the blackboard form of teaching.
Learning shall happen to a large extent through mentored interventions of the
student-singly and in groups-in a fashion that encourages creativity and relies on
innovations which meet the needs and responses of the learning environment at
hand and which blends theory with real world situations
The student-upon graduation-shall have imbibed innovation based creativity and will
have matured in her thinking; she will have enhanced her communication and
leadership abilities and will have understood the deep and abiding connections
between knowledge and its uses; between understanding the needs of society and
the relevance of knowledge and the importance of societal obligations.

Course Structure

Semester I 
S. No. 
I.1 
I.2 
I.3 

Interactive Learning Modules
Seeing the world through calculus: First Steps
The Science and Art of Logic and Programming
Language and Communication: Computational
Linguistics 
I.4 
Information organization and the art of problem solving
Engineering Kitchen: Innovation Lab
Activity Module::  
 
Creative Writing equally distributed over the first
 
four semesters
 

Credits 
7 
7 
7 
7 
 
 
4 
32 

Semester II 
S. No.  Interactive Learning Modules
II.1 
Modeling continuous change through ordinary
differential equations and complex analysis
II.2 
Reflecting thought processes via object oriented
programming  
II.3 
Linearity in Nature: Engineering through Linear Algebra
II.4 
The art of communication
Engineering Kitchen: Innovation Lab
Activity Module::  
 
Summer Internship
 
 




1

Credits 
7 
7
7 
4 
 
 
7 
32 

Semester III 
S. No.  Interactive Learning Modules
III.1  Modeling change in the world around us : partial
differential equations with MatLab
III.2  Constructing Computers: deconstructing digital
architecture  
III.3  Impact of Technology: Philosophical Implications
III.4  Option Pool 3-1: (Pick one)
III.4.1  Physics of Motion 
III.4.2  Understanding ‘New Biology’: convergence and
experimentation 
III.4.3  Understanding Economic Behaviour: The micro level
Engineering Kitchen: Innovation Lab
Activity Module:  
 
Project Work 
 
 

Credits 
7 
7 
4 
 
7 
7 
7 
 
 
7 
32 

Semester IV 
S. No.  Interactive Learning Modules
IV.1  Does Nature play dice?: The amazing world of
probability and statistics
IV.2  Communication in Digital Networks
IV.3  Data Modeling and Design
IV.4  Option Pool 4-1: (Pick one)
IV.4.1  Logic and Functions through Digital Electronics
IV.4.2  Exploring the Organization of Cells
IV.4.3  Understanding Economic Behaviour: The macro level
Engineering Kitchen: Innovation Lab
Activity Module::  
 
Summer Internship : projects drawn from the
 
world around us
 



2

Credits 
7 
7 
7 
 
4 
4 
4 
 
 
7 
32 

Semester V 
S. No.  Interactive Learning Modules
V.1  Discretizing and understanding real life situations
through a mathematical lens
V.2  Digital Signal Processing
V.3  Option Pool 5-1: (Pick one)
V.3.1 
Heat and Thermodynamics
V.3.2 
Language of Cellular Communication &
Interactions 
V.3.3 
Environmental Management
V.4  Option Pool 5-2: (Pick one)
V.4.1 
Design your system: The digital way
V.4.2 
Design & Flow of Information in living systems
V.4.3 
Management Principles
Engineering Kitchen: Innovation Lab
Activity Module::  
 
Project in Industry, Society and Villages
 
 

Credits 
7 
7 
 
4 
4 
4 
 
7 
7 
7 
 
 
7 
32 

Semester VI 
S. No.  Interactive Learning Modules
VI.1  Algorithms for Continuous Mathematics: Numerical
methods 
VI.2  Addressing real world complexities: Logic systems
VI.3  Option Pool 6-1: (Pick one)
Control Systems
 
Methods for studying Biological Informational
 
Molecules 
eBusiness: Organization & Strategy
 
VI.4  Option Pool 6-2: (Pick one)
VI.4.1 
Engineering at Molecular Scale: Devices and
Nanotechnology
VI.4.2 
Computational Methods for Structure & function
Prediction in Biology
VI.4.3 
Innovation Management
Engineering Kitchen: Innovation Lab
Activity Module::  
 
Industrial mini project
 
 

7 
 
4 
4 
4 
 
7 
7 
7 
 
 
7 
32 

Semester VII 



Credits 
7 

3

S. No.  Interactive Learning Modules
VII.1  Understanding Signals: The mathematical and
computational way  
VII.2  Digital Security: Compression and Encryption
VII.3  Option Pool 7-1: (Pick one)
Circuit Analysis and Synthesis
 
Biological Networks and Oscillations (Molecular,
 
Cellular, and Neuronal Networks)
Theory in Practice: The art of project
 
management 
VII.4  Option Pool 7-2: (Pick one)
VII.4.1 
Robotics: Design, Construct and Operate
eYantra with IIT Bombay
VII.4.2 
Systems Biology and Synthetic Biology
VII.4.3 
Operations and Technology Management
Engineering Kitchen: Innovation Lab
Activity Module::  
 
Industrial mini project, Simulation of real time
 
cases 
 

Credits 
7 
7 
 
4 
4 
4 
 
7 
7 
7 
 
7 
32

Semester VIII 
S. No.  Interactive Learning Modules
VIII.1  Fluidity in nature: computational interpretations
VIII.2  Creativity in Digital World: Graphics and Multimedia
 
 
Engineering Kitchen: Innovation Lab
Activity Module::  
 
Industrial major project
 
 

Total credits in eight semesters are 256
The papers with 7 credits are of 3 (theory) + 4 (lab)
The papers with 4 credits are with no separate labs.




4

Credits 
7 
7 
 
 
 
18 
32 

After successful completion of a minimum of 256 credits, candidates will be awarded
B.Tech. degree with specialization of specific area are of VII and VIII Semester
courses, or dissertation
Commencement of course:
15th September 2011 for the academic year 2011-2012 and as per University
calendar from the academic year 2012 onwards.

Duration – 4 years
8 semesters teaching and Project work.

Teaching Faculty
Faculty from within University and experts from other Universities, industry, science
and technology viz., IIT, NPL, SSPL and other institutes.

Eligibility
The candidate must have 60% aggregate in one language and three electives.

Selection Process
Through an Aptitude Test of two hours duration

Course Fee
Rs. 5,000 per semester and other university fees, as applicable from time to time.
Evaluation
Students will be evaluated at the end of each semester according to the enclosed
examination scheme.

Number of Seats: 40

Reservation As per University norms




5

EXAMINATION SCHEME AND PASS PERCENTAGE

Promotion and Pass Percentage/Internal Assessment will be as per
University existing rules of an under graduate degree

GENERAL
Programme Committee
There will be a Programme committee to be appointed by the Governing Body.

(I)

ATTENDANCE

Attendance in all classes is compulsory.

If the attendance of any student is

considered to be unsatisfactory (below 67% in any subject, he would not be
permitted to appear in the examination of that particular subject. A student with poor
attendance record (less than 67%) may be asked to repeat, the subject. However,
condonation upto 25% on medical ground may be given.

(II)

TEACHING/ ADMINISTRATIVE ASSISTANSHIP

The students will be allowed to have upto a maximum of 20 hours a month paid
teaching/ administrative assistantship. Apart from this they will be permitted to take
up summer/ vacation jobs.
Each paper may be taught by more than one teacher. the programme committee
will appoint convener for (I) each paper, (ii) summer training (iii) Project, who may be
a member of the Institute or some other University Department/ College.
EVALUATION AND REVIEW COMMITTEE (ERC)
There will be an ERC for each Semester. The Chairman, Programme Committee




6

will be the Chairman of the Committee and all CONVENERS concerned for the
semester will be its members.
FUNCTIONS OF THE ERC
a)

To get prepared test papers for the end semester examination and to get
them evaluated. Any part of the work may be entrusted to some other
member

to

be

appointed

by

the

Programme

Committee

on

the

recommendation of the Programme Co-ordinator.

b)

After each internal assessment, each student would be provided the
evaluated answer book and the record of marks obtained from internal
assessment for a paper shall be sent to the Controller of Examination, by the
Convener of the paper.

c)

To consider such individual representations of students about internal
evaluation which have not been possible to reconcile between the student
and the concerned teacher and take the remedial action if needed. The case
will be scrutinized by the ERC and the decision of the ERC shall be final.

d)

The candidate may apply for revaluation of any theory paper of end Semester
Examination within seven days from the date of declaration of result to the
Program Coordinator. The case will be examined by ERC with one outside
expert to be appointed by the Program Coordinator, and the decision of the
ERC shall be final.

e)

To review and moderate end-of-term results of each class with a view to
maintain uniformity of standard and after finalisation, to submit the same to
the Controller of Examinations for declaration of results.




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f)

To lay guidelines for teaching a subject.

g)

To hold meeting/meetings at the end of the semester of all teachers
associated with teaching to review the attainment of the level of instruction in
the subject areas by sharing information amongst members in what-so-ever
manner deemed fit and to recommend ways and means to be adopted for
attainment

of

the

desired

level.

These

recommendations

shall

be

implemented from the subsequent semester.
vi)

The mode of evaluation shall be as follows:
for each theory course
There will be continuous Assessment scheme based class test, presentations
of students, seminars, assignments etc.
For a practical course 60% weightage will be given for evaluation during the

semester and 40% at the end of semester examination/viva-vice.
The duration of end semester theory and practical examination shall be three hours.
EVALUATION OF SUMMER TRAINING/ Small Projects
A candidate/group of candidate will be assigned to a teacher/responsible
person in industry, organisation by the Convener of practical training programme. On
completion of major project, the students will submit brief written report to the
convener. The report will be examined by a board of examiners (one board for 10
students), consisting of :
I)

Convener of Training Programme

ii)

One expert to be appointed by the Chairman, GB on the recommendation of
the Chairman, ERC.

iii)




Teacher/individual with whom the students is attached.

8

The evaluation will be on written report and viva.

EVALUATION OF PROJECT REPORT
The project convener will assign student/group of students to a teacher/responsible
person from industry/organisation for their project. At the end of Project period,
students will be required to submit a written Project report to the convener.
The Project report will be examined by the board of examiners (one board for 10 or
less candidates). The board will consist of:


Project Convener



One expert to be appointed by the Chairman, GB on the recommendation of the
Chairman, ERC.



Project Supervisor

EVALUATION OF DISSERTATON
The dissertation should normally be submitted within the span period of VIII
semester. However, ERC may grant extension, not exceeding the maximum duration
of the semester but not more than six months at a time. The dissertation will be
examined by the supervisor and two experts appointed by the Vice-chancellor on the
recommendation of the ERC. If the examiners approve the dissertation, a viva-voce
examination will be held and grade point awarded taking into consideration both
dissertation and viva.

CASE/OBJECT ORIENTED STUDY
The evaluation will be on the same lines as that of summer training.




9

B. Tech./B.S. in Innovation with Mathematics and IT
Each Semester will have at least two open Industry Seminars
Necessary web sites, references and notes/books will be incorporated during the
semester. The nature of the program is such that only selected details can be laid
down in advance. Some level of flexibility will be allowed on the part of the
concerned teacher in consultation with Programme Committee of the CIC.
Semester I
Interactive Learning Modules
I.1

Seeing the world through calculus: First steps

Calculus is the most powerful tool in mathematics with widespread applications. The
pedagogy of this course is “think and then do”. The course builds up on the topics,
namely limits and continuity, differentiation and integration to more advanced
applications in real life problems.
1. Continuous compounding of interest, finding the circumference of circle from
an n-polygon inscribed in it, calculating the value of pi through limits,
understanding of the ideas of limits and continuity graphically, calculating
limits at infinity, indeterminate forms, special limits involving exponential and
logarithmic functions, asymptotes.
2. Improved facility in algebraic manipulation, graphing of quadric surfaces.
3. Comparing the graphs of a function, its first derivative and its second
derivative, sketching curves, solving optimization problems, fluency in
differentiation, concavity and inflexion points, how derivatives affect the shape
of the graph.
4. Modeling average speed of traffic, temperature, population, etc., computing
future value of a continuous income flow, flow of blood through an artery,
fluency in integration, integration as a limit of a sum, volume of a frustum of a
cone, cap of a sphere, volume of earth (not as a sphere but as an oblate
spheroid).
5. Staggered start of a race, Gabriel’s horn (finite volume but infinite surface
area), parametric equations of curves, arc length and surface area.
6. Path of a projectile, Kepler’s laws of planetary motion, introduction of Vector
valued functions, differentiation and integration of vector valued functions.
7. Derivation of Newtonian formula of kinetic energy from Einstein’s special
theory of relativity, modeling of a simple pendulum, understanding the ideas of
sequences, infinite series including Taylor approximations.
8. Topographic maps, isothermal surfaces, functions of several variables, level
curves and surfaces, limits and continuity of functions of two and three real
variables, partial differentiation (two variables), partial derivative as a slope,
partial derivative as a rate.



10

Reading List
1. T. M. Apostol, Calculus, Volumes 1 and 2, Wiley Eastern, 1980.
2. Hughes-Hallett et al., Calculus - Single and Multivariable, John-Wiley and
Sons, 2003.
3. James Stewart, Calculus, Thomson, 2003.
4. G. B. Thomas and R. L. Finney, Calculus and Analytic Geometry, AddisonWesley, 1998.
http://academicearth.org/subjects/mathematics/category: 107
http://academicearth.org/subjects/mathematics/category: 109
http://www.intmath.com/applications-differentiation/applications-of-differtiationsintro.php
http://www.math.scar.utoronto.ca/calculus/redbook/
http://www.analyzemath.com/calculus.html
http://web.monroecc.edu/calcNSF/
http://www.math.dartmouth.edu/~klbooksite/

I.2

The Science and Art of Logic and Programming

This interactive learning module intends to provide capabilities and basic
understanding of the fundamentals of mathematical logic and applications of logic in
advance Information Technology. This would also lead to knowledge pertaining to
hardware verification, finite domain constraint satisfaction and concurrent systems.
The learners will be exposed to the syntax, semantics and constructs of standard
programming languages and applications in different context.
Following topics will be covered (but not limited to):
Introduction to logics and applications, Propositional logic, Orderings, multi-sets,
induction, syntax, semantics, truth tables, concepts, completeness and decidability
Transformations to normal forms, Propositional reasoning methods, First-order logic,
Resolution theorem proving: substitutions, unifiers, most general unifiers, unification
algorithm, literal and clause orderings, saturation, model construction, refutational
completeness, resolution for general case, ordering and selection refinements,
Concrete applications: resolution decision procedures, hardware verification, security
protocol verification
Reading List
1. Melvin Fitting, First-order logic and automated theorem proving,  
Springer, 1995.
2. John Kelly, Essence of logic, Pearson Education Limited, 1997.


11

3. Uwe, Schoening, Logic for Computer Scientists, Birkhauser Verlag AG, 2008.
4. Andrei Voronkov, Logic in Computer Science ( book available at
http://www.voronkov.com/lics.cgi). 

I.3 Languages and Communication: Computational Linguistics
This module intends to provide capabilities and basic understanding of
computational linguistics and applications in different scenario. Essential
components of NLP, principles of speech recognition and synthesis.

Following topics will be covered (but not limited to):
Introduction and review of NLP principles, tagging: probabilistic tagging, transformationbased learning, Parsing: chunking, shallow parsing, statistical parsing, Lexical semantics:
lexical resources and related algorithms, Document matching, free text question

answering systems, Summarisation algorithms, Spoken language systems, Speech
synthesis:
formant
based
synthesis,
N-phone
based
synthesis 
Speech recognition: acoustic features, the role of linguistic constraints.
Reading List
1. Daniel Jurafsky and J. H. Martin, Speech and language processing: an
introduction to natural language processing, computational linguistics, and
speech recognition, Pearson International, 2009.
2. Bird Stephen, Ewan Klein and Edward Loper, Natural Language Processing
with Python: analyzing text with the Natural Language Toolkit, O'Reilly, 2009.
(The book is available online at http://www.nltk.org/book)

I.4 Information Organization and the art of problem solving
This interactive learning module intends to provide capabilities and basic
understanding of algorithms, basic computing methods, complexities of algorithms
and performance of algorithms. It envisages the study of various algorithms for
different computational tasks- division of tractable tasks, linear/ polynomial-time
algorithms.



12

Following topics will be covered (but not limited to):
Basic idea of algorithms, history, algorithms and programming. Algorithms and data
structures. algorithms in programming languages. Specifications, role of correctness
and mathematics. Performance of algorithms: machine independence, counting.
Complexity. Orders of performance, worst case, average case complexity. Solution
of recurrence relations. Searching and Sorting Algorithms: sorting algorithms and
their behaviour, mergesort, quicksort, bubblesort, bucketsort, tree based algorithms.
Tables: ADT, Hash tables, Open and closed hashing, Hashing functions. Trees: 
Traversing Trees, Heaps and Priority Queues. Ordered Binary Trees, AVL trees.
Graphs: Directed Graphs, Shortest paths problem- Dijkstra's algorithm, FloydWarshall algorithm, Topological Sort, Undirected graphs, Directed Acyclic Graphs,
Kruskal's Algorithm
Reading List
1. T. H. Cormen et.al., Introduction to Algorithm, Prentice Hall (India), Delhi 2006.
2. Richard Neapolitan, Kumarss Naimipour, Foundation of Algorithms Using C++
Pseudocode, Narosa Publishing, 2005.
3. Mark Allen Weiss, Data structures and problem solving using Java, Pearson,
2008.

Innovation in the Engineering Kitchen
Activity Module:
Creative Writing spread over four semester
Rough Outlines of Course: Creativity and Communication Skills
Creativity : Some Aesthetic Art Forms (Some Texts)
Poetry
Narrative
Dramatic Writing
Performance
(II) Creative communication: Some basic points of study
Creativity and innovation
Communications skills – uses of creativity in communication
Creation of Civil space / Aesthetic Space
Idea of Civil life
Role of communication in conflict resolution
Dialogue, Discourse and Dialogism


13

Tools of creativity and Communications
Language
Kinds of Language
Body Language
Sign Language
Sound
Colour
Creative Process
Role of ideas and imagination
Memory/Dream/Fantasy
Observation
Experience
Reproductive Tools
Reflection

(III)

Cultural Studies and Communicative Skill

Concepts of creating pleasure in Cultural Space
Idea of entertainment
Anand/ Ras
Cultural Experience
In Traditional
In Modern Institutional Cultures
In Popular Culture
In Daily personal culture
In Sports

Popular Cultural Communicational Forms and Art of Appreciation
Cinema
TV
Newspaper Reading
Radio Listening
Parties
Traditional/ Religious/ Entertaining/ Festivals
Creative Communication Skills in Daily Life
Reflection of Daily experience
Diary writing
Letter writing
Blog writing
Wall writing


14

SMS writing
Social networks

Retention of the Household Experience
Neighborhood Experience
Mohalla Experience
City Experience
Village Experience
Retention of Traditional Narratives
Epics of India
Reading and Reflection
Important portion reading and Reflection from Epics
As a tool to conflict resolution
As a tool to social capital formation

Class Workshop
Poetry, Reading and dissertation by the students
Story writing and story telling in the class
Critical writing
Drama Creation and Performance
Writing one daily experience, an exchange and discussion
Writing one story about traditional culture



15

Semester II
Interactive Learning Modules
II.1

Modeling continuous change through ODE and complex analysis
Modeling is the process of translating the real life problems into the
mathematical language. In this course we develop techniques required to study
the models involving differential equations. The methodology will be to first
analyse and understand the problem, write down the governing equations,
solve them and then analyse the solution. The problems will be picked up from
engineering, ecology, medicine, etc. The techniques adopted will be:
Power series and differential equations, systems of ODEs, separation of
variables, orthogonal expansions and applications, analytic functions, contour
integrals, Laurent series and residues.

1.

Application of first order differential equation to draining a tank, harvesting of
renewable natural resource, indoor temperature oscillation, flight trajectory,
survivability with aids.

2.

System of linear differential equations applied to mechanical systems, electrical
network, drug assimilation into the blood, solution of a linear system (in nondegenerate cases) using eigen pairs.

3.

Modeling two-axle automobile, earthquake induced vibrations of a multistory
building, evaluation and application of matrix exponential (in non-degenerate
cases)

4.

Classification of planar linear systems (non-degenerate cases)

5.

Planar non-linear system applied to ecological models, wildlife conservation
preserve, mechanical systems, epidemic models, determination of stability and
classification of equilibrium of a planar nonlinear system by linearization.

6.

Graphic use of integral of a conservative planar system

7.

Acquaintance with Poincare-Bendixson Theorem

8.

Power series solution about a regular point of an analytic ordinary differential
equation

9.

Power series solution of Bessel's equation of order 0

10. Knowledge of basic properties of analytic functions of a complex variable,
including power-series expansions, Laurent expansions, and Liouville's theorem
11. Ability to use residue calculus to perform definite integrals and compute them
using MatLab.

Reading List
1. T. M. Apostol, Calculus, Volume 2, Wiley Eastern, 1980.
2. W. E. Boyce and R. DiPrima, Elementary differential equations, John Wiley, 2005.


16

3. C.H. Edwards and D.E. Penny, Differential equations and boundary value
problems: Computing and modeling, Pearson education (Singapore), Pte. Ltd.,
2005.
4. E. Kreyszig, Advanced engineering mathematics, John Wiley, 1999.
http://www.sosmath.com/diffeq/diffeq.html
http://serc.carleton.edu/sencer/ode_real_world/index.html
http://www.diptem.unige.it/patrone/differential_equations_intro.pdf

II.2 Reflecting thought processes via Object oriented programming
This interactive learning module intends to provide capabilities and basic
understanding of programming. It will emphasise on the principles of design and
programming using the objects. Java platform will be used to provide hands on study
the ‘Object-Oriented’ model. It will also envisage on testing programmes for
correctness using bottom-up approach, evaluation of designs- non-functional
characteristics, maintainability and readability.
Following topics will be covered (but not limited to):
Sequential execution and programming types, variable and expressions, execution
flow control, separate methods, separate classes, Object statics, Objects, class,
Instance, Ensemble, encapsulation, Object relationship, Inheritance, Multiple
Inheritance, Polymorphism, Object Dynamism, Messages, Object Inter-Relationship,
Class Relationship, Foundation Class, Object Oriented Analysis, and Object
Oriented Design, Object oriented design, Introduction to graphical user interfaces
using SWING, Arrays, Files and Exceptions,
Reading List
1. Grady Booch, R. A. Maksimchuk, M. W. Engel and B. J. Young, ObjectOriented Analysis and Design with Applications, Addison-Wesley
Professional, 2007.
2. John Latham, Java: just in time, College Publications, 2010.
3. M. A. Weisfeld, Object-Oriented Thought Process, Addison Wesley, 2009.

II.3

Linearity in Nature: Engineering through Linear Algebra

Calculus is mostly about the annihilator (the derivative) and its Creator (the integral).
But several applications of mathematics are discrete rather than continuous. This is
the century of data.


17

An introduction to linear algebra, mainly in R^n but concluding with an introduction to
abstract vector spaces.
The principal topics are vectors, systems of linear equations, matrices, eigenvalues
and eigenvectors and orthogonality. The important notions of linear independence,
span and bases are introduced.
This course is preparation for the practical using of ideas around vectors, matrices
and linearity and also lays the groundwork for a more abstract, pure-mathematical
treatment of vector spaces.
Students will also learn how to use Maple for some simple matrix operations. acility
in practical calculation with vectors and matrices in arbitrary dimensions
- Geometrical understanding of vectors and vector operations in 2 and 3 dimensions
- Thorough understanding of systems of linear equations and solution methods.
- Understanding of and facility in calculation with eigenvalues and eigenvectors.
- Understanding of orthogonality and projection in arbitrary dimensions.
- Acquaintance with the idea of abstract vector spaces.
- Ability to do matrix calculations with Maple.
This syllabus is for guidance purposes only :
- Complex Numbers
- Vectors and geometry
- Systems of linear equations, echelon form, Gaussian elimination, intro to span and
linear independence.
- Matrices, multiplication, transpose, inverses, linear maps. Intro to subspaces and
bases. Rank.
- Eigenvalues and eigenvectors. Determinants
- Orthogonality, Gram-Schmidt, orthogonal diagonalisation.
- Introduction to abstract vector spaces and subspaces.
- Selected applications (taught in sequence where appropriate)
Reading List
1. D. C. Lay, Linear Algebra and its Applications, Addison Wesley, 2005.
2. David Poole, Linear Algebra, A Modern Introduction, Brooks Cole, 2011.

II.4

The art of Communication

Communication as sharing; context of communication; the speaker/writer and the
listener/reader; medium of communication; barriers to communication; accuracy,
brevity, clarity and appropriateness in communication.
Writing:
Selecting material for expository, descriptive, and argumentative pieces;
business letters; formal report; summarizing and abstracting; expressing ideas
within a restricted word limit; paragraph division, introduction and the
conclusion; listing reference material; use of charts, graphs and tables;


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punctuation and spelling; semantics of connectives, modifiers and modals,
variety in sentences and paragraphs.

Reading Comprehension:
Reading at various speeds (slow, fast, very fast), reading different kinds of
texts for different purposes (e.g., for relaxation, for information, for discussion
at a later stage, etc.); reading between the lines.
Speaking:
Achieving desired clarity and fluency; manipulating paralinguistic features of
speaking (voice quality, pitch, tone, etc.); pausing for effectiveness while
speaking, task-oriented, interpersonal, informal and semiformal speaking;
making a short classroom presentation.
Group Discussion:
Use of persuasive strategies including some rhetorical devices for
emphasizing (for instance; being polite and firm; handling questions and
taking in criticism of self; turn-taking strategies and effective intervention; use
of body language).
Listening Comprehension:
Achieving ability to comprehend material delivered at relatively fast speed;
comprehending spoken material in Standard Indian English, British English
and American English, intelligent listening in situations such as an interview in
which one is a candidate.

Innovation in the Engineering Kitchen
Activity Module:
Summer Internship



19

Semester III
Interactive Learning Modules
III.1

Modeling change in the world around us : Partial Differential Equations
with MatLab

“Partial differential equations are the basis of all physical theorems. In the theory of
sound in gases, liquids and solids, in the investigation of elaticity, in optics,
everywhere partial differential equation formulate basic laws of nature which can be
checked against experiments.”
Georg Friedrich Bernhard Riemann
Understanding the basics of partial differential equations is important due to its wide
applications in various spheres of not only physics and engineering but also in
economics and medicines. The objective of this course is to equip the students with
basic concepts of partial differential equations and various methods of their solution.
The course will also expose the students to various applications of the partial
differential equations.

1.

Familiarities with different type of first order linear and non-linear PDEs arising
in transport equation, conservation laws, spread of epidemic cholera, Cauchy
problem for first order PDE, method of characteristics, Monge’s cone.

2.

Knowledge about classical methods for simple PDE model problems.

3.

Second order PDE arising in wave equations, conduction of heat, gravitational
potential, telegraph equation, dispersion of contaminants, classification of
second order PDE and their solution.

4.

Boundary value problem: Dirichlet and Neumann.

5.

Lagrange- Green’s
considerations.

6.

Mean value property and maximum principle (weak and strong) for Laplace
equation, Poisson’s formula.

7.

Modeling of the following problems using MATLAB:

identity,

existence

and

uniqueness

by

energy

Solution of Cauchy problem for first order PDE and plotting the characteristics,
solution of wave equation and the heat equation with various boundary and initial
conditions.
Reading list:
1.

E. DiBenedetto, Partial Differential Equations, Birkhauser, Boston, 1995.

2.

Fritz John, Partial Differential Equations, Narosa Publ. Co., New Delhi, 1979.



20

3.

Tyn Myint-U and Lokenath Debnath, Linear Partial Differential Equation for
Scientists and Engineers, Springer, Indian reprint, 2006.

4.

Ioannis P Stavroulakis and Stepan A Tersian, Partial Differential Equations:
An Introduction with Mathematica and MAPLE, World Scientific, 2004.

III.2 Constructing Computers: Deconstructing Digital Architecture
This interactive learning module intends to provide capabilities and basic
understanding of computer architecture. It will also envisage the principles of
operating system and design and implementation techniques. The concepts of
algorithms and data structures will form the basis. The hardware and software
interface will be examined.
Following topics will be covered (but not limited to):
Processors, simple ARM programs, binary representations, fetch-execute cycle,
registers, ARM code for imperative constructs: Basic data types and expressions,
data structures, control structures, functions, input/output, interrupts. Bus based
architecture, IBM PC ISA, EISA, PCI, VME bus, Peripheral Devices, Device Drivers,
IDE driver for HDD, communication in inter parallel ports Kernel and Device Drivers,
Power PC Architecture, Evolution of computers, Information representation,
Instruction formats, Instruction types, ALU Design Instruction sequencing and
Interpretation, Hardwired control, virtual memory, Parallel processing, pipeline
processing, Multiprocessing, IBM PC architecture overview, RISC Architecture,
Hardware overview of peripheral devices e.g. Key Board, Display monitor, Printers
Storage Devices, etc.
System software: Operating Systems, Assemblers, Compilers, Libraries, Loaders,
Interpreters, JVM
Reading List
1. Alan Clements, Principles of computer hardware, Oxford University Press,
2006.
2. Steve Furber, ARM System-on-Chip Architecture, Addison Wesley, 2000.
3. William Hohl, ARM Assembly Language: fundamentals and techniques, CRC
Press, 2009.
4. D. A. Patterson and J. L. Hennessy, Computer organization and design: the
hardware/software interface, Elsevier, 2009.

III.3

Impact of Technology: Philosophical Implications

(There is no fixed syllabus for this unit)


21

This unit will engage social ethics in response to its impact on the developing
technologies of global societies. We will explore the idea that traditional concepts of
ethics insist that people in social relationships be treated as ends, in and of
themselves, and never as means to the ends of others. Since all technologies evolve
from our social relationships, no technology is value-free. Because of the valueladen nature of technological developments, new technologies are characteristically
defined as both socially-determinative and socially derived.

Reading List
1. Walter Benjamin, The Work of Art in the Age of Mechanical Reproduction,
http://www.student.math.uwaterloo.ca/~cs492/Benjamin.html

III.4

Physics of Motion / Understanding the ‘New Biology’: Convergence and
Experimentation/ Understanding Economic Behaviour: The micro level

III.4.1 Physics of Motion
Translational motion, Newton’s laws, Reference frames, Galilean transformations,
Special theory of relativity, time dilation, length contraction, Twin paradox, Red shift,
Blue shift
Rotational motion, motion of a motor cyclist on the wall of a well, conservation of
angular momentum, shape of galaxies, moment of inertia.
Falling of an apple, Newton’s law of Gravitation, the secret of elliptical orbits.
The sound of music and waves, simple harmonic motion and Lissajous figures,
Deadbeat and damped harmonic motion. Forced oscillations and resonance
The physics of fluids, fluids at rest and the pressure experienced by a diver.
Buoyancy and the Archemedes’s principle,
Fluids in motion, conservation of energy and Bernoulli’s theorem.
Non-ideal fluids in motion, viscosity and Poisuelle’s equation

Reading List:
1. Charles Kittel, Walter Knight, Malvin Ruderman, Carl Helmholz, Burton Moyer,
Mechanics (in SI Units): Berkeley physics course, Vol.1, Tata McGraw-Hill,
2007.
2. Daniel Kleppner, R. J. Kolenkow, An introduction to mechanics, McGrawHill,1973.



22

3. D. S. Mathur, Mechanics, S. Chand & Company Limited, 2000.
4. F. W. Sears, M. W. Zemansky and H D Young, University Physics, Narosa
Publishing House,1982
5. K. R. Symon, Mechanics, Addison Wesley, 1971.

III.4.2 Understanding the ‘New Biology’: Convergence and Experimentation
Biology in the 21st Century: The new biology is a biology in the post genomic era,
which involves intersection of biology, mathematics, engineering, physics and
chemistry. The simple principles of Biological systems should immediately be
processed in solving the needs of human kinds. Trends of collaboration between
industry and academia for development of areas such as, biotechnology, biomedical
engineering, pharmaceutical industry, and agro-biotechnology are emerging.
Different systems and disciplines in biology are convergent, and therefore, teaching
of New Biology should follow an interdisciplinary and convergent approach.
An overview of design of living systems. Diversity of living world. Understanding
diversity at molecular and organisimc levels. Use of mathematics to bring predictive
approach in biology.
Concept of Evolution: Have living system being created or have been evolved from
set of random events and processes, Discussions on essential concepts of evolution,
variations and natural selection, relationship and phylogenetics.
Jon R. Lorsch and David G Nichols (2011). Organizing Graduate Life Sciences
Education around Nodes and Connections. Cell, 146, 506-509.
Innovation in Engineering Kitchen
Reading List:
1.
2.
3.
4.
5.

R. F. Boyer, Modern Experimental Biochemistry, Pearson, 2008.N.A.
Campbell and J. B. Reece, Biology, Pearson Benjamin Cummings, San
Francisco, 2008.
J.M. Clark, R.M. Switzer and L.F. Garrity, Experimental Biochemistry, W.
Freeman, 1999.
P.H. Raven et al, Biology, Tata McGrawHill Publications, New Delhi, 2006.
K. Wilson and J. Walker, Principles and Techniques of Biochemistry and
Molecular Biology, Cambridge University Press, 2005.

Laboratory Exercises and experimental skill development in Biology
The laboratory exercises, which are divided in to FIVE lab-modules spread
over semester IV to VI, aim to equip a student (the learner) with essentials
skills of understanding the basic principles of experimentations in biology.
These experiments will also train and bring a student to a level where he/she
can conduct a project work in different advance biological research


23

laboratories. Further, students trained with following essential techniques can
readily take a project from real life world, such as understanding the
biodiversity, principles of diseases and drug design & development, problems
related to changing environment (natural or pollution), bioengineering and
biotechnology etc.

III.4.3 Understanding Economic Behaviour: The micro level
Exploring the subject matter of Economics
The Economic Problem: Scarcity and Choice; the question of What to Produce, How
to Produce and How to Distribute Output; Science of Economics; The Basic
Competitive Model; Prices, Property Rights and Profits: Incentives and Information,
Rationing; Opportunity Sets; Economic Systems; Reading and Working with Graphs.
Supply and Demand: How markets work, Markets and Welfare
Markets and Competition; Determinants of individual demand/supply,
Demand/Supply schedule and demand/supply curve, Market versus individual
demand/supply, Shifts in the demand/supply curve, Demand and Supply together,
How Prices allocate resources. Elasticity and its application; Controls on Prices;
Taxes and the Costs of Taxation; Consumer, Producers and the Efficiency of the
Markets.
The Households
The consumption decisions --budget constraints, consumption and income/price
changes, demand for all other goods and price changes, Description of preferences
[Representing preferences with indifference curves. Properties of Indifference
curves] Consumers’ optimum choice, income and substitution effects. The
investment decision --investment alternatives for a household, Desirable attributes of
investments Labor Supply and Savings decision --Choice between leisure and
consumption, labour force participation, tax policy and labour supply, Human capital
and education, Budget constraints and Savings, Savings and interest rate, Other
factors affecting savings.
The Firm and Perfect Market Structure
Financing, controlling and managing firms --The firm's legal form, Corporate
Finance, why corporations care about financial structure, takeover and the market for
managers, making decisions, centralization and decentralization, the boundaries of
the firm. Behaviour of profit maximizing firms and the production process, Short run
costs and output decisions, costs and output in the long run.
Imperfect Market Structure
Monopoly and antitrust policy, government policies towards competition. Imperfect
information in the product market--The information problem, The market for lemons
and adverse selection, the incentive problem, the search problem, advertising, the
importance of imperfect information, government and information.



24

Input Markets
Labour and Land Markets--Basic concepts [derived demand, productivity of an input,
marginal product of labour, marginal revenue product]; demand for labour; input
demand curves; shifts in input demand curves; elasticity of demand in input markets;
competitive labour markets; labour markets and public policy; Land markets and
pure rent.
Exploring International Economics
The International Economy--Trade surpluses and deficits, the economic basis for
trade--absolute advantage versus comparative advantage, terms of trade, exchange
rates; Sources of comparative advantage --Heckscher-Ohlin Theorem and other
explanations. Trade Barriers--tariffs, subsidies and quotas; free trade or protection-case for free trade, case for protection.
Reading List:
1

K. E. Case and R. C. Fair, Principles of Economics, Pearson Education
Asia Low Price Edition, 2002.

2.

N. G. Mankiw, Principles of Economics, Thomson, 2002.

3.

J.E. Stiglitz, and C.E. Walsh, Principles of Economics, W.W. Norton &
Company, New York, 2002.

4.

R. Stone and G. Stone, National Income and Expenditure, Bowes and Bowes
London, 1962.

Innovation in the Engineering Kitchen
Activity Module:
Project Work

Semester IV
Interactive Learning Modules
IV.1

Does Nature play dice?: The Amazing world of Probability and Statistics

Uncertainty prevails in decision making, testing compatibility of samples and
everywhere in day to day life. This unit will concentrate on the following:
Sampling distributions, hypothesis testing, interval estimation, likelihood, analysis of
categorical data, joint, marginal and conditional distributions, ANOVA and regression
The computer program R will be introduced through a two-hour, practical near the
beginning of the course. Its use will be supported with examples in lectures and
tutorials with supplementary material on the course website.
Knowledge of common statistical procedures, and their implementation in a
statistical package. Understanding of randomness and, in particular, sampling
distributions. Ability to conduct simple inferential procedures and to exercise


25

diagnostic and interpretative skills. Ability to interpret likelihood analyses. Facility
with bivariate, marginal and conditional distributions. Ability to fit, criticise and predIT
from simple linear regression and one-way classification models.
Ability to interpret test statistics and significance probabilities. Facility with the R
statistical package for methods of inference developed in the course.
1.

B. Bowker and G.J. Liberman, Engineering Statistics, Asia, 1972.

2.

R.V. Hogg and E.A. Tanis, Probability and Statistical Inference, Macmilan,
1983.

3.

N.L. Johnson and F.C. Xeen Leone, Statistics and Experimental Design in
Engineering and the Physical Sciences, Vol. I and II, Wiley Interscience, 1977.

http://www.intuitor.com/statistics/
http://wiki.stat.ucla.edu/socr/index.php/Probability_and_statistics_EBook
http://www.ebook3000.com/A-Modern-Introduction-to-Probability-andStatistics_20862.html
IV.2 Communication in Digital Network
This interactive learning module intends to provide capabilities and basic
understanding of digital communication systems and networks. It will emphasise on
the concepts of networking and its real time applications. The study will also involve
hands on exposer to the communication protocol, protocol architecture,
internetworking, Communication standards, Quality of Service.
Following topics will be covered (but not limited to):
Network elements, network structures, protocols, service models, encapsulation,
sharing, performance measures, Review of Data Communication principles, Multi
access protocols and data link protocols. Network topology design, network layer
switching, routing, congestion and flow control, internetworking, Transport layer error
recovery, TCP/IP protocols, Application Layer services and protocols, Network
security and management. Security: AAA, confidentiality, integrity, non-repudiation,
basic concepts of encryption/decryption, digital certificates, firewalls, UTMs.

Reading List
1. Kurose James and Keith Ross, Computer networking: a top-down approach,
Pearson Education, 2009.
2. L. L. Peterson and B. S. Davie, Computer networks: a systems approach,
Morgan Kaufmann, 2007.
3. A. S. Tanenbaum, Computer Networks, Prentice Hall, 2010.



26

IV.3 Data Modeling and Design
This interactive learning module intends to provide capabilities and basic
understanding of data, file management and databases. It will emphasise on the
fundamental of database, database management system (DBMS), database models,
DBMS components, schemas, abstraction and mappings, database servers and
distributed systems.
Following topics will be covered (but not limited to):
Introduction to Database concepts, Goals of DBMS, including data independence
consistency, Data security and Integrity. DBMS models: Hierarchical, Network and
Relational, Relational algebra, Relational calculus, Query languages. Relational
database design, Functional and Multi valued dependencies & normal forms.
Database query optimization, Data abstraction and Modeling, ER Model, Relational
Model, Hierarchical Model, Normalization, Query Processing, Crash Recovery,
Concurrency Control, Distributed database, Object Oriented database, Data Mining,
Multimedia Database, Digital Libraries. Database Design, integrity, performance,
security, Entity Relationship model, object-oriented design, UML, relational model,
normalisation, relational algebra, SQL, the Oracle/MySql DBMS, SQL, PL/SQL,
triggers, indexes and performance.
Reading List
1. Garcia-Molina Hector, J. D. Ullman, and Jennifer Widom, Database systems:
the complete book, Pearson, 2009.
2. David Jordan and Craig Russell, Java data objects, O'Reilly, 2003.
3. Piattini Mario and Oscar Diaz, Advanced database technology and design,
Artech House, 2000.
4. Stonebraker Michael and Paul Brown with Dorothy Moore, Object-relational
DBMS: tracking the next great wave, Morgan-Kaufmann, 1999.
5. Ozsu M. Tamer, and Patrick Valduriez, Principles of distributed database
systems, Prentice-Hall, 1999.

IV.4

Logic and Functions through Digital Electronics/ Exploring the
Organization of Cells/ Understanding Economic Behaviour : The macro
level

IV.4.1 Logic and Functions through Digital Electronics
This interactive learning module intends to provide capabilities and basic
understanding of implementation of logic and functions through digital electronics. It
will emphasise the concepts of logic gates, registers, memories. It will also provide
underlying basis of computer architecture and organization.


27

Following topics will be covered (but not limited to):
Operation of Transistor as a switch, Flip Flop of various types, Master-Slave, JK & D
Type Flip Flops, Gates, half adder, Full adder, Number system, Code Converters,
Error detection and correction Counters, A/D and D/A converters, Registers, Buffers,
Multipliers, Memories, Introduction to MSI, LSI, VLSI. Organization of a Computer,
I/O, ALU, CPU, control Unit, Registers and Flags, Memory Systems, Assembly
Language Programming with reference to a particular Microprocessor, Introduction
to various Bus systems, Introduction to IBM Architecture.
Reading List:
1. T. L. Floyd, Digital Fundamentals, Prentice Hall, 2008.
2. William Kleitz, Digital Electronics: A Practical Approach, Prentice Hall, 2007.
3. R.L. Tokheim, Digital Electronics: Principles & Applications, McGraw-Hill,
2008.

IV.4.2 Exploring the organization of cells
Single cell Biology: Chemical Foundation for Cells, Carbon Compounds in Cells,
Molecular Symmetry and Chirality.
Properties of water, Acids, Bases and Buffers. First and Second law of
thermodynamics; Free energy as an indicator of spontaneity; Chemical Equilibria.
Energetic at the cellular level- Ground Rules of Metabolism, How Cells Acquire
Energy, How Cells release stored energy.
Amino Acids of Proteins; Optical Activity. Primary Structure Determination; ThreeDimensional Structures of Proteins: Secondary Structure; Fibrous Proteins; Globular
Proteins; Quaternary Structure. Polysaccharides; Glyco-proteins. Lipids and
Membranes; Mechanisms of enzyme action; Substrate Specificity; Coenzymes;
Regulation of Enzymatic Activity: enzyme kinetics, inhibition; effects of pH. Catalytic
mechanisms.
Understanding the plasma membrane; mechanism of diffusion, facilitated diffusion,
active transport with suitable examples; movement of water; Donnan equilibrium; ion
movements and cell function, molecular mechanism of the secretory pathways.
Cellular shape, motility and energetics- cytoskeletal elements in cell shape and
motility: structure and dynamics; role in cell locomotion, extracellular matrix; cell- cell
and cell-matrix adhesion.
Life cycle of a cell - cell cycle and its regulation; checkpoints in the mammalian cell
cycle; regulation of cell proliferation, and cell death (apoptosis)
Lab Module- 1
1.
2.



Understand Principles of measurement in biological experimentation –
Accuracy, Precision, Reproducibility and Specificity
To learn imaging technologies in biological systems (a) use of different
kinds of microscopes, and (b) principles of fixation and staining.
28

3.
4.
5.
6.
7.

Preparation solutions for experimentations – preparation of Normal, molar and
standard solutions, phosphate buffers, serial dilutions
Developing liquid handling skills - Use of pipettes and micropipettes
Learning sterile handling techniques – sterilization, media and cultures
(exploring the world of microbes)
Animal tissue culture – Primary cells and transformed cells
Basics of Plant tissue culture

Reading List:
1. N.A. Campbell and J. B. Reece, Biology, Pearson Benjamin Cummings, San
Francisco, 2008.
2. G.M. Cooper and R.E. Hausman, The Cell: A Molecular Approach, ASM
Press & Sunderland, Washington, D.C., Sinauer Associates, MA., 2009.
3. G. Karp, Cell and Molecular Biology: Concepts and Experiments. John Wiley
& Sons. Inc., 2010.
4. P.H. Raven et al., Biology, Tata McGrawHill Publications, New Delhi, 2006.

IV.4.3 Understanding Economic Behaviour : The macro level
The roots of macroeconomics, macroeconomic concerns, the role of government in
the macroeconomy, the components of the macroeconomy, the methodology of
macroeconomics.
Introduction to National Income Accounting
Concepts of GDP and national income, approaches to calculating GDP, GDP and
personal income, Nominal and real GDP, Limitations of the GDP concept, GDP and
the black economy.
The Classical System: The Full-Employment Model
Macroeconomic Equilibrium, the labour market, the product market, the capital
market; extending the full employment model
The Simple Keynesian Model
Aggregate expenditure and equilibrium output--aggregate output and aggregate
income, equilibrium aggregate output; Government participation in the economy;
Fiscal policy at work-The Multiplier effect.
Money in the Modern Economy Characteristics of a monetary economy; The
demand for money; The supply of money and overall liquidity position; credit
creation.


29

Inflation
The causes of inflation, level of prices and the value of money, The Fisher effect,
The cost of inflation.
Exploring the Macroeconomics of an Open Economy
Balance of Payments--The current and capital account; Determining equilibrium
output in an open economy; Open economy with flexible exchange rates--Markets
for foreign exchange, Factors affecting exchange rates, effects of exchange rates on
the economy.

Reading List:
1. K. E. Case and R. C. Fair, Principles of Economics, Pearson Education Asia Low
Price Edition, 2002.
2. N. G. Mankiw, Principles of Economics, Thomson, 2002.
3. J.E. Stiglitz and C.E. Walsh, Principles of Economics, W.W. Norton & Company,
New York, 2002.
4. R. Stone and G. Stone, National Income and Expenditure, Bowes and Bowes
London, 1962.
Innovation in the Engineering Kitchen
Essential Modules
Summer Internship – Project Drawn from the world around us

Semester V
Interactive Learning Modules
V.1

Discretizing and understanding real life situation through Mathematical
lens

In modern world, most jobs will involve interaction with computers. The computing
and embedded systems technologies break additional barriers, even the day to day
life and common activities will involve interacting with a computing device.
Rough structure will be as follows:
Graphs (bipartite, Euler, Hamiltonian, Planar), Euler's V-E+F=2 Theorem,
subdivisions, Kuratowski's Theorem, matching, Hall's Marriage Theorem,
assignment problems, counting sets, subsets, multisets, inclusion/exclusion,
applications, Stirling numbers of second kind, Bell numbers, designs, Fisher's
inequality, Steiner triple systems, error-correcting codes, minimum distance, binary
linear codes, Hamming codes, sphere-packing and sphere-covering bound.



30

1. Ability to solve "counting" problems
2. Understanding of elements of Graph Theory
3. Ability to apply counting techniques and Graph Theory to problems in Engineering
and Informatics

Reading List:
1. Ralph Grimaldi, Discrete and Combinatorial Mathematics, International Edition,
2003.
2. Bernard Kolman, Robert Busby, Sharon Ross, Discrete Mathematical
Structures, International Edition, 2008.
3. K. H. Rosen, Discrete Mathematics and Its Applications, McGraw-Hill, 2008.

V.2 Digital Signal Processing
This interactive learning module intends to provide capabilities and basic
understanding of signals and systems. It will emphasise on time and frequency
domain analysis of signal communication. It will also provide the interface to
understand real time analogue and digital communication and applications e.g.
speech analysis, voice signals, encoding and decoding etc.
Following topics will be covered (but not limited to):
Recursive and non-recursive difference equations. Signal flow-graphs and their
implementation, impulse-response for discrete time systems, finite impulse response
(FIR), infinite impulse response (IIR) type digital filters, stability and causality, timedomain convolution, discrete time Fourier transform (DTFT), Gain and phase
responses, analysis of digital filters – hands on using MATLAB/Mathematica. Design
of FIR digital filters, IIR type digital filters and the z-transform, System function, ztransform of impulse response, poles and zeros, gain response of digital filter, sound
recordings. Sampling theorem, aliasing, quantisation, design of digital systems for
speech processing, music and multimedia.

Reading List
1. S.W. Smith, 'Scientist and Engineer's Guide to Digital Signal Processing' is
available complete at: http://www.dspguide.com/
2. S. W. Smith, Digital signal processing: a practical guide for engineers and
scientists, Newnes, 2003.



31

V.3

Heat and Thermodynamics/Language of Cellular Communication &
Interactions/Environmental Management

V.3.1 Heat and Thermodynamics
Thermodynamics
Thermodynamic equilibrium and quasi-static processes. Zeroth law and concept of
temperature. Work and heat energy. State functions. First law of thermodynamics.
Internal energy. Enthalpy. Second law of thermodynamics. Reversible and
irreversible Changes. Conversion between heat and work. Heat engines. Ideal
processes. Carnot Cycle. Carnot Engine. Refrigerator. Carnot Theorem. Absolute
thermodynamic temperature scale.
Entropy
Definition. Principle of increase of entropy. Change in entropy. Entropy of a state.
Clausius theorem. Clausius inequality. Second law of thermodynamics in terms of
Entropy. Entropy of a perfect gas. Impossibility of attainability of absolute zero. Third
law of thermodynamics. T-S Diagrams.
Thermodynamic Potentials
Extensive and Intensive variables. Thermodynamic Potentials U, H, F and G : Their
Definitions, Properties and Applications. Maxwell’s Thermodynamic Relations. T-ds
equations.
Ideal and Real Gases
Kinetic theory. Maxwell-Boltzmann law of distribution of velocities. Mean, RMS and
Most probable speeds. Degrees of freedom. Law of equipartition of energy
(qualitative). Specific heats. Real gases and deviation from ideal gas. Equation of
state. Law of corresponding states. Gas mixtures. Dalton’s law. Diffusion. Brownian
Motion.

Reading List:
1. S. Garg, R. Bansal and C. Ghosh, Thermal Physics, Tata McGra-Hill, 1993.
2. Meghnad Saha and B. N. Srivastava, A Treatise on Heat: Including Kinetic
Theory of Gases, Thermodynamics and Recent Advances in Statistical
Thermodynamics, Indian Press, 1958.
3. F. W. Sears and G. L. Salinger, Thermodynamics, Kinetic Theory and
Statistical Thermodynamics, Narosa, 1986.
4. M. W. Zemansky and Richard Dittman, Heat and Thermodynamics: An
Intermediate Textbook, McGraw-Hill, 1981.



32

V.3.2. Language of Cellular Communication & Interactions
Why do cells have compartments? Division of labor (detailed studies on the
structure and functions of Nucleus, Mitochondria, Golgi apparatus,
Chloroplasts), Interaction between cellular organelles, Protein trafficking and
transport Harnessing energy by plants- process and mechanism of
photosynthesis, Mitochondria and cellular energetic.
How cells communicate to each other? Chemical nature and types of signals,
Receptors and adaptor molecules, amplification of signals, Intracellular
receptors Cell-surface receptors.
Second messengers to transmit signals. Intracellular signal transduction
pathway; signaling networks (Feedback and cross-talks) Cell-surface proteins
mediate cell-cell interactions. Intercellular adhesion, tight junctions.Anchoring
junctions. Communicating junctions.
Communications in microbes: Two component systems.

Reading List:
1. W.M. Becker, L.J. Kleinsmith, J. Hardin and G. P. Bertoni, The World of
the Cell, Pearson Benjamin Cummings Publishing, San Francisco,
2009.
2. G.M. Cooper and R.E. Hausman, The Cell: A Molecular Approach.
ASM Press & Sunderland, Washington, D.C.; Sinauer Associates, MA,
2009.
3. G. Karp, Cell and Molecular Biology: Concepts and Experiments, John
Wiley & Sons. Inc., 2010.
Lab Module-2
1.
2.
3.
4.



Understanding the design of cells through studies of different types of
cells (through temporary mounts & staining and through permanent
slides)
The principles and the way cell multiply - Studies of mitosis in onion
root-tip, and study of polyploidy in Onion root tip by colchicine
treatment
Preparations of temporary mount of grasshopper testis and study the
different stages of Meiosis.
Experimentation on cells in culture (i) Growth curve of bacterial in
culture (ii) effects of mitogens on primary cells in culture (iii) study the
process of Apoptosis using animal cell cultures
Understanding the principles of FACS.

33

V.3.3 Environmental Management
Provides an understanding of how to identify and evaluate the environmental
impacts of an organisation or product/service. It explains how the environmental
impacts of an organisation can be managed within the context of an environmental
management system. It also explains the practical application of environmental
auditing and environmental management systems, and it examines the range of
available environmental management tools and techniques. It also considers ways in
which corporate environmental management may respond to the challenge of
sustainable development requirements. It demonstrates the types of information
required for assessing the impacts of a proposal on specific environmental
parameters. It provides a basis for the practical application of environmental
assessment skills, It reviews economic theories of pollution and management of
natural resources, and how these can inform environmental policy. The impact of
macroeconomic policies on the environment and the role of international
environmental agreements on transboundary issues are examined. concepts, and
tools associated with water management. The module covers determinants of
availability and scarcity, assessment and management from basin to user,
economics and governance, the management and sustainability of irrigated
agriculture, fisheries and aquaculture, and environmental, social and political
dimensions of air, land and water use.

Reading List:
1. Chris Barrow, Environmental Management: Principles and
(Routledge Environmental Management Series), Routledge, 2003.

Practice

2. John Brady, Alison Ebbage and Ruth Lunn, Environmental Management in
Organizations: The IEMA Handbook, Earthscan, Washington, DC., 2011.
3. Paul Hyde and Paul Reeve, Essentials of Environmental Management, IOSH
Services Ltd. (U. K.), 2004.

V.4

Design your system: The Digital Way / Design & Flow of Information in
living Systems / Management Principles

V.4.1 Design your system: The Digital Way
This i learning module intends to provide capabilities and basic understanding design
of modern computer systems. It will emphasise the design options and
implementation techniques for the design of modern CMOS based digital systems.

Following topics will be covered (but not limited to):



34

CMOS circuits: Basic gates, complex gates, programmable logic array (PLA),
transmission gates, multiplexers and Universal Logic Modules. Dynamic logic,
fabrication: Photolithography, CMOS processing, yielding, wafer testing, packaging.
Transistor sizing and the inverter delay, RC delay model - rise and fall propagation
delay. Circuit simulation using SPICE, Implementation options: design choices, semicustom gate array, semi-custom standard cell, full-custom, comparison of design
styles. Programmable vs. full- and semi-custom implementation, design of digital
system using programmable logic devices. Sequential system design- Data path,
Finite State Machine (FSM). Sequential design using the ASM chart, link path
extraction, looping. RISC processor example (STUMP). State assignment, minimum
state locus, one-hot state encoding. State tables and forming logic, CMOS layout
design, CMOS circuit design, programmable logic and sequential design.
Reading List
1. C. H. Roth, Digital Systems Design Using VHDL, PWS, Study Guide, 1998.
2. N .E. Weste and David Harris, CMOS VLSI design: a circuits and systems
perspective, Pearson Education Limited, 1993.

Innovation in the Engineering Kitchen

V.4.2 Design & Flow of Information in living Systems
Properties of informational molecules, chemical nature and discoveries
(historical perspective and experimental evidences), Genetic material and its
evolution- structure and function relationships, evolution of genetic material,
genes and genomes.
Structure of nucleic acids- structure of nucleic acids, folding motifs,
conformation flexibilities, super-coiling of DNA, packaging of DNA in the
nucleus, structure of chromatin.
Flow of information, Process of Replication and its energetic, Replication
machinery, problems of accuracy in information transfer, Errors during
replication and proofreading, DNA damage and repair.
Transcription unit, transcription machinery, RNA polymerases, promoters and
regulatory sequences, activators and repressors of transcription, mechanism
of transcription initiation, processing of primary transcript. transcriptional
control of gene expression- positive and negative regulations, Regulation of
gene expression (Lac-operon, trp-operon and lambda genetic switch)
Translational machinery and translational control -energetics of amino acid
polymerization, tRNAs and their modifications, aminoacyl tRNA synthetases,
accuracy during aminoacylation of tRNA, regulation of initiation of translation
in eukaryotes, elongation and its control, inhibitors of translations
Reading List:


35

1. Benjamin Lewin, Genes IX, Jones and Bartlett Publishers, Boston, USA,
2008.
2. Watson et al., Molecular Biology of the Gene, Pearson Education, Delhi,
India A, 2004.

Lab Module-3
1.
2.

3.
4.

Understanding the chemical composition of cells – Biochemical
fractionation
Basic principles of quantification of biomolecules – Spectrophotometry
and
Spectrofluorimetry (Estimations of some biomolecules, such as protein,
DNA, Glucose etc.)
Familiarization with techniques for separation of cells and
biomolecules (a) Centrifugation, and (b) Chromatography,
electrophoresis (PAGE and Agarose)
Functional characterization of biomolecules - To perform
biochemical assay of an enzyme under optimal conditions. To study
the effect of pH/temperature/heavy metals on the activity of enzymes
(any one factor).

V.4.3 Management Principles
The module aims to equip students with a basic knowledge of management which
can be used as a foundation for personal development. The course also aims to be
an introduction to future courses in management, following topics would be covered
but not limited to:
1) Define management and explain how management differs according to level and
whether a manager is a line manager or an enabling role.
2) Briefly describe and contrast four models of management; rational goal, scientific,
human relations, open systems.
3) Describe and attain some elementary level of skills in the main management
processes: planning, organizing, staffing, deciding, controlling and budgeting.
4) Outline the notion of a management function and be able to name, briefly describe
and appreciate the role of the four main management functions: marketing,
production (including quality and other technical services), finance and personnel.
5) Discuss and identify the implications of wider management issues such as
managing technology, managing diversity, globalization and ethics.
Reading List:
1. Robert Kreitner, Principles of Management, International Edition, 2009.



36

2. S. P. Robbins, D. A. Decenzo and Mary Coulter, Fundamentals of
Management, Prentice Hall, 2010.

Activity Module:
Project in Industry Society and village

Semester VI
Interactive Learning Modules
VI.1

Algorithms for Continuous Mathematics: Numerical Methods

Interpolation by polynomials, divided di erences, error of the interpo- lating
polynomial, piecewise linear and cubic spline interpolation. Numerical integration,
composite rules, error formulae. Solution of a system of linear equations,
implementation of Gaussian elimination and Gauss-seidel metho ds, partial pivoting,
row echelon form, LU factorization Cholesky’s metho d, ill-conditioning, norms.
solution of a nonlinear equation, bisection and secant metho ds. Newton’s metho d,
rate of convergence, solution of a system of nonlin- ear equations, numerical solution
of ordinary di erential equations, Eu- ler and Runge-Kutta metho ds, multi-step
metho ds, predITor-corrector metho ds, order of convergence, finite di erence
metho ds, numerical solutions of elliptic, parabolic, and hyperbolic partial di erential
equa- tions. Eigenvalue problem, power metho d, QR metho d, Gershgorin’s theorem. Exposure to software packages like IMSL subroutines, MATLAB.

Reading list:
1. S. D. Conte and Carl de Boor, Elementary Numerical Analysis- An Algorithmic
Approach, McGraw-Hill, 1980.
2. C. E. Froberg, Introduction to Numerical Analysis, Addison-Wesley, 1981.
3. E. Kreyszig, Advanced engineering mathematics, John Wiley, 1999.

VI.2

Addressing real world complexities: Logic systems

This interactive unit intends to provide capabilities and basic understanding of
concepts and tools for development of intelligent systems. It would emphasise the
technologies using the examples of neural networks, genetic algorithms, fuzzy
systems, cloud intelligence, artificial life. This area also refers to Computational
Intelligence.



37

Following Topics will be covered but not limited to:
Single-Layer and Multi Layer Feed forward Neural Networks, Feedback Neural
Networks, Associative Memories, Learning Vector Quantizer (LVQ), Self-Organizing
Feature Maps, Radial Basis Function Neural Networks, Support Vector Machines,
Genetic Algorithms, Harmony Search, Fuzzy Sets and Fuzzy Logic, Fuzzy Neural
Networks, Swarm Intelligence and Ant Colony Optimization, the Power and
Computational Complexity of Computational Intelligence Models.

Reading List:
1. A.P. Engelbrecht, Computational Intelligence: An Introduction, Wiley, NY,
2007.
2. M. Hassoun, Fundamentals of Artificial Neural Networks, MIT Press, 1995,
(available on line).
3. T. Hastie, R. Tibshirani and Friedman, J., The Elements of Statistical Learning,
Springer, 2009. (can be downloaded for free. )
4. S. Haykin, Neural Networks - A Comprehensive Foundation, Macmillan
College Publishing Company, New York, 1999.
5. S. Massey, Machine Learning: An Algorithmic Perspective, CRC Press, 2009.
6. P. Rojas, Neural Networks A Systematic Introduction, Springer, 1996 (can be
downloaded for free).

VI.3

Control Systems / Methods for studying Biological Informational
Molecules/ Corporate Financial and Strategy

VI.3.1 Control Systems
This interactive learning module intends to provide capabilities and basic
understanding of functionality and control of a system or a device. It will emphasise
on the conceptual know how of the behavioral aspects and mechanism of different
machines, equipment or a system, their manageability, efficiency and performance
as per controlled parameters.

Following topics will be covered (but not limited to):
Introduction to Control Systems, Laplace Transforms, Modeling of Op-amps and
Electric Motors, State Space Representation, Transfer Functions and Block Diagram
Algebra, Rise Time, Settle Time, Overshoot, Root Locus technique, Stability, Bode
Plots, Design via Frequency Response, Discrete-Time Control, Difference Equations
and the Z-transform, Discrete-Time Controller Design.



38

Reading List
1. R. Dorf and R. Bishop, Modern Control Systems, Prentice Hall, 2010.
2. W. Messner and D. Tilbury, Controls Tutorials for MATLAB and Simulink,
Addison-Wesley, 1998.
3. K. Ogata, Discrete-Time Control Systems, Prentice Hall, 1995.
4. G. Strang, Linear Algebra, Wellesley Cambridge Press, USA, 2003.

VI.3.2 Methods for studying Biological Informational Molecules
Enzymes used in DNA technology (Enzymes used in DNA technology, Other
nucleases, Polymerases, Ligase, kinases and phosphatases)
Cloning vectors (Plasmids, Phages, Cosmids, Artificial chromosomes, Shuttle
vectors, Expression vectors
Construction of genomic and cDNA libraries
Screening and characterization of clones (Preparation of probes, Principles of
hybridizations and hybridization based techniques (colony, plaque, Southern,
Northern and in situ hybridizations), Expression based screening, Interaction based
screening: yeast two-hybrid system.
Principles of DNA sequencing, automated sequencing methods; synthesis of oligonucleotides, primer design; micro-arrays
Gene transfer techniques: Electroporation and microinjection, Transfection of cells:
Principles and methods, Germ line transformation in Drosophila and transgenic mice:
Strategies and methods
Mutagenesis (Site directed mutagenesis, Transposon mutagenesis, Construction of
knock-out mutants)
Applications of Recombinant DNA Technology: Crop and live-stock improvement,
Gene therapy: somatic and germ line gene therapy, DNA drugs and vaccines
Bio safety and ethical considerations
Reading List:
1. S. B. Primrose and R. M. Twyman, Principles of Gene Manipulation and
Genomics, Blackwell Publishing, West Sussex, UK, 2006.
2. Sambrook et al., Molecular Cloning, CSHL, 2001.
3. J. D. Watson, A. A. Caudy, R. M. Myers, and J. Witkowski, Recombinant DNA:
Genes and Genomics – a short course, W. H. Freeman and Company, New York,
USA, 2006.



39

Lab Module-4
Understanding the basics of informational molecule and engineering the
DNA
1.
2.
3.
4.
5.
6.
7.

8.

Isolations of genomic DNA from bacteria and mouse/rat liver.
Studies on denaturation of DNA and determination of Tm and
calculation of G:C content.
Studies on regulation of lac-operon (Positive and negative regulation),
and generation and selection of constitutive mutants of lac-operon.
To perform Ames test in Salmonella/ E. coli. To study mutagenicity
Plasmid DNA (a prototype vector) isolation: minipreps, and restriction
enzyme digestion of plasmid DNA – a prototype of study restriction
maps
Generation of recombinant DNA by vector and insert ligation.
Preparation of competent cells for transformation, and transformation
of E. coli with standard plasmids, selection of transformants and
recombinants (antibiotic selection and selection based on insertional
inactivation)
To perform basic experiments related to Polymerase Chain Reaction
(PCR).

VI.3.3 eBusiness: Organization & Strategy
This course unit studies how to employ Internet-based IT/IS to do business. It aims
to provide participants with opportunities to learn the theory and practice of IT/IS in
the business context. It examines the emerging IT and new business models. It will
also discuss e-commerce and e-business issues.
Objectives
On completion of this unit successful students will be able to:
• Explain critically the role of IS in business organisations, and the relationship
between
information
systems
and
business
strategy
• Understand the concept and components of business models, and analyse the
impacts of IT and Internet on business opportunities in developing and transitional
economies.
• Discuss the environmental constraints on executing a business model, the
characteristics of current IT innovation and new business models
• Develop a set of theory-based tools and conceptual maps for uncovering the
relation between Internet-based information systems and the adoption of novel
business models.
Course Content
• Strategic understanding of IT/IS in business, especially the contextual issues
affecting
the
role
of
IT/IS
in
business
• Emerging IT-enabled business models: Internet portal, mobile technologies, etc


40

• The Internet, e-commerce and e- business; context, strategies and management
issues.
Reading List:
1. Allan Afuah, C. L. Tucci, Internet Business Models and Strategies: Text and
Cases, McGraw-Hill., 2003.
2. T. J. Allen and M. S. Morton, Information Technology and the Corporation of the
1990s: Research Studies. New York: Oxford University Press, 1994.
3. Tawfik Jelassi and Albrecht Enders, Strategies for e-Business: Creating Value
through Electronic and Mobile Commerce, Prentice Hall, 2005.

VI.4

Engineering at Molecular Scale: Devices and Nanotechnology /
Computational Methods for Structure & function Prediction in Biology/
Innovation Management

VI.4.1 Engineering at Molecular Scale: Devices and Nanotechnology
This interactive learning module intends to provide capabilities and basic
understanding of the concepts and recent advancements in Nanotechnology and in
its applications. It will emphasise on its significant impact on developments in almost
all industries and all areas of society. It will also provide the technological framework
to understand core concepts and design of long lasting, cleaner, safer, and smarter
products and devices for home, communications, medicine, transportation,
agriculture etc.

Following topics will be covered (but not limited to):
Optical devices, Electronic devices, liquid crystal and magnetic devices and their
functionality. Spintronic devices (including spin valves and MRAM devices),
nanoscale semiconductor electronic devices, CMOS at sub-15nm gate length, III-V
and wide-bandgap devices, devices for quantum computing, nanoscale photonic
devices, Basic properties of liquid crystals, molecular properties of the organic
materials and their use in current production and research level electronic devices.



41

Reading List
1. A. Korkin, E. Gusev, J.K. Labanowski and S. Luryi, (Eds.), Nanotechnology
for Electronic Materials and Devices, 2007.
2. Patrick Roblin and Hans Rohdin, High-Speed Heterostructure Devices From
Device Concepts to Circuit Modeling, Cambridge University press, 2002.
3. Tapani Ryhänen, M. A. Uusitalo, Olli Ikkala, Asta Kärkkäinen,
Nanotechnologies for Future Mobile Devices, Cambridge University press,
2010.
4. Minoru Taya, Electronic Composites: Modeling, Characterization, Processing
and MEMS Applications, Cambridge University press,1970.

VI.4.2 Computational Methods for Structure & function Prediction in Biology
Definition and Scope of Computational Biology and Bioinformatics
Major Bioinformatics Introduction, biological databases, DNA sequence
databases, specialized genomic resources, web address, protein primary
sequences data bases, composite protein sequences databases secondary
data bases, composite protein pattern databases, structure classification
databases.
Biological Sequence Analysis: Introduction, why analyze DNA , gene
structure and DNA sequences, feature of DNA sequence analysis, issue
in the interpretation of EST searches, gene hunting, expression profile of
a cell, cDNA libraries, and ESTS, different approaches to EST analysis,
effect of EST data on DNA databases.
Sequence Similarity, Homology and Alignment: Pairwise sequence
Alignment, Global & Local Alignment algorithms, Basic concept of Scoring
matrices (PAM & BLOSSUM), Dynamic programming Algorithms, Dot
Plots for comparing sequences, Statistical significance of alignments score,
motifs and pattern analysis
BLAST and FASTA algorithms BLAST theory, other BLAST options, PSIBLAST and PSSM, Applications of BLAST.
Multiple sequence alignment:
Introduction to Multiple sequence
alignment and progressive alignment algorithm, MSA based software
tools ClustalW. Applications of Multiple Sequence alignment.
Phylogenetic analysis: Definition and description of phylogenetic trees
and various types of trees, A primer on Computational phylogenetic
analysis.
Predictive methods using DNA and Protein Sequences
Gene-prediction strategies, programs, Proteins-prediction strategies,
secondary structure prediction, intrinsic tendency of amino acids to form B
turns, rotamer libraries, three dimensional structure, prediction


42

comparative modeling, threading, energy bases prediction, protein
prediction program, molecular visualization.
Metabolic pathway databases (KEGG, Metacyc)
Drug Discovery and Pharmainformatics - Discovering a drug, target
identification and validation, identification the lead compounds,
optimization of lead compounds, pharmacoinformatics, chemical libraries,
search programming

Lab Module 5
 Explore comparative genomics resources and NCBI and EBI.
 Comparison of full / partial genomic sequences using following methods to
identify conserved genes and map/compare the annotations of the two
sequences: BLAST2, MegaBLAST and Discontiguous MegaBLAST,
MUMmer, PipMaker, VISTA, Artemis, Compare gene order of given genomic
sequences using the GeneOrder tool, Explore and query the comparative
genomics databases: COG, VirGen, CORG, HOBACGEN, Homophila,
XREFdb, Gramene etc.
 Explore and query SNP and SNP-related databases
 Explore and query the protein-protein interaction databases: DIP, PPI Server,
BIND, PIM, PathCalling, MINT, GRID, InterPreTS
Reading List:
1. A. D. Baxevanis and B. F. Francis Ouellette, Bioinformatics: A Practical Guide to
the Analysis of Genes and Proteins, John Wiley & Sons, 2002.
2. Des Higgins and Willie Taylor, ioinformatics: Sequence, Structure and
Databanks, Oxford University Press, 2000.
3. S. Ignacimuthu, Basic Bioinformatics, S. J. Narosa Publishing House, 2005.
4. D. C. Liebler, Introduction to Proteomics: Tools for the New Biology, New Jersey,
Humana Press. 2002.
5. D. W. Mount, Bioinformatics: Sequence and Genome Analysis, Cold Spring
Harbor Laboratory Press, New York, 2004.
6. S. Pennington, M. J. Dunn, Proteomics: From Protein Sequence to Function.
Viva books Pvt. Ltd., New Delhi, 2002.
7. D. Sankoff and J.H. Nadeau, Comparative Genomics: Empirical and Analytical
Approaches to Gene Order Dynamics, Map Alignment and the Evolution of Gene
Families, Netherlands, Kluwer Academic Publishers, 2000.



43

VI.4.3 Innovation Management
The module is a general introduction to the nature of innovation in the economy, and
covers a wide range of associated topics, which must be addressed by management
and policy makers. It comprises a set of self-contained, but related topics, which are
necessary to the understanding of the nature of innovation and entrepreneurial
decisions. A variety of perspectives is examined, including:
products (new products, standards and formats, the product life cycle, diffusion of
innovations), firms (technology strategy, intellectual property, standards, small firms)
government and policy (intellectual property rights, standards, regulation)
economic
theories
(neoclassical
and
evolutionary
theories)
markets:
how
products
and
markets
interact
over
time
technologies (how technologies develop over time: trajectories, dominant designs,..)case studies of innovation: causes, impacts and strategies (of technologies, sectors,
consumer products)
• Sectors: innovation in services sectors
Following is expected out of this module but not limited to:
1.

Understand how firms develop technologies for application to new products,
processes and services, and be able to analyse individual cases of
innovation.

2.

Understand the importance of technological innovation in the economy and be
able to analyse the impact of innovation on firms, products, and the economy.

3.

Be able to use the knowledge gained in 1 and 2 to contribute to the
application of these perspectives to particular case studies.

4.

Have developed practical skills in oral work (how to present your work to a
small group and initiate and manage discussions on the issues you raise).

5.

Have developed practical skills in identification and selective reading of
material (from electronic and published sources; and which may have been
written for purposes other than academic study or management guidance); in
extraction of appropriate information; and using it in concise report writing.

Reading List
1. Christopher Freeman and Luc Soete, The Economics of Industrial Innovation,
Pinter Publishers, 1987.
2. Paul Geroski, The Evolution of New Markets, Oxford University Press,
2003(available through the John Rylands University of Manchester Library as
an electronic book).

Activity Module:
Industrial Mini Project


44

Semester VII
Interactive Learning Modules
VII.1 Understanding Signals: The Mathematical and Computational way
When processing signals, such as audio, radio waves, light waves, seismic waves,
and even images, Fourier analysis can isolate individual components of a compound
waveform, concentrating them for easier detection and/or removal. A large family of
signal processing techniques consist of Fourier-transforming a signal, manipulating
the Fourier-transformed data in a simple way, and reversing the transformation.
Fourier analysis can be used to separate (or analyze) the telephone signal, to reveal
the two component tones and therefore which button was pressed.
Removal of unwanted frequencies from an audio recording Noise of audio recordings
to remove quiet background noise by eliminating Fourier components that do not
exceed a preset amplitude;
Image processing to remove periodic facts from interlaced video, stripe artifacts from
strip aerial photography, or wave patterns from radio frequency interference in a
digital camera;
Basic Properties of Fourier Series: Uniqueness of Fourier Series, Convolutions,
Cesaro and Abel Summability, Fejer`s theorem, Poisson Kernel and Dirichlet
problem in the unit disc. Mean square Convergence, Example of Continuous
functions with divergent Fourier series. Riemann Lebesgue lemma, Fourier Inversion
Theorem, Fourier transforms of Gaussians. Tempered Distributions Applications to
PDEs (Laplace, Heat and Wave Equations), Radial Fourier transforms and Bessel`s
functions. Hermite functions. Optional Topics: Applications to PDEs, Wavelets and
X-ray tomography. Applications to Number Theory.
The discrete Fourier transform & its applications
Derivation of DFT from DTFT. Inverse DFT. Effects of windowing and frequencydomain sampling. Non-rectangular windows. The 'fast Fourier transform' algorithm
(FFT). Use of the FFT for spectral estimation and media processing. 2-D FFT, Case
studies in MATLAB.
Reading List:
1. I. Richards and H. Youn, Theory of Distributions and Non-technical Approach,
Cambridge University Press, Cambridge, 1990.
2. E.M. Stein and R. Shakarchi, Fourier Analysis: An Introduction, Princeton
University Press, Princeton, 2003.


45

VII.2 Digital Security: Compression and Encryption
This module intends to provide capabilities and basic understanding of methods and
techniques of compression and encryption to provide a secured communication
framework. It will also provide an understanding for sending and receiving data using
key control and synchronizing compression information between the sending and
receiving stations.
Following topics will be covered (but not limited to):
Huffmann coding, Arithmetic coding, Entropy measures of performance and Quality,
Types of attacks, Steganography, Data Encryption Standard, Block Cipher Principle,
triple DES with two three keys, data encryption algorithm and key distribution. Euler’s
theorems, public key cryptography, RSA algorithm, Diffie-Hellman Key Exchange.
Elliptic curve cryptology, message authentification and Hash functions, Hash and
Mac algorithms, Digital signatures,
Digital Audio, Lossy sound compression, M-lawand A-law companding, DPCM and
ADPCM audio compression, MPEG audio standard, frequency domain coding,
format of compressed data, Loss less techniques of image compression, gray codes,
Two dimensional image transforms, JPEG, JPEG 2000, PredITive Techniques PCM
and DPCM. Video compression and MPEG industry standard.
IDS, Viruses, Worms, firewall design, antivirus techniques, digital Immune systems,
Certificate based & Biometric authentication, Secure Electronic Payment System.
Reading List
1. Behrouz Forouzan, Cryptography and Network Security, McGraw-Hill, 2008.
2. David Salomon, Data Compression, Springer Publication, 2007.
3. Khalid Sayood, Introduction to Data Compression, Morgan Kaufmann Series,
Academic press,2000.
4. William Stallings, Cryptography and Network Security, Pearson Education
Asia Publication, 2000.

VII.3 Circuit Analysis and Synthesis / Biological Networks and Oscillations
(Molecular, Cellular, and Neuronal Networks) / Theory in Practice: The
Art of Project Management
VII.3.1 Circuit Analysis & Synthesis
This interactive learning module intends to provide capabilities and basic
understanding of basic electronic and electrical circuits. The emphasis will be given
on active and passive circuit characteristics and theories.



46

Following topics will be covered (but not limited to):
Charge, current, voltage, resistance, power energy, Circuit Modelling: sources,
circuit elements, Ohm's Law, Kirchhoff's Laws, series, parallel, voltage divider,
current divider, delta-star,conversion, mesh and loop current analysis, node voltage
analysis, maximum power transfer theorems, superposition theorem, thevenin and
Norton, graphical and analytical techniques, transient circuits: RL, RC, RLC.
Sinusoidal waveforms, phase, R.M.S average values, phasors, impedance,
Convolution in discrete time and continuous time systems, Fourier transforms,
Laplace transforms, Fourier series, the discrete Fourier transform, the z-transform.
Passive circuits: two-port networks, prototype filters; Impedance scaling, frequency
transformations, Transient response, Butterworth and Chebyshev approximations,
Active circuits: Operational amplifiers, two-terminal networks, impedance converters
and inverters, active filters, universal active filters.
Reading List
1. Ayyagari Ramakalyan, Linear circuits: analysis and synthesis, Oxford
University Press, 2005.
2. Chi Kong Tse, Linear circuit analysis, Addison-Wesley, 1998.

VII.3.2 Biological Networks and Oscillations (Molecular, Cellular, and Neuronal
Networks)
Many complex networks operate in living systems. At cellular levels, these include
metabolic pathways, signal transduction pathways, gene regulatory networks, etc.
One of the very fundamental networks that operate at higher level involving many
different types of cells is the neurological network. Incidentally, these networks do
not operate alone and they often interact to form a complex web of networks.
Interactions within (among different components) and among networks are now
being modeled using mathematics and computational tools. Such mathematically
modeled networks in living systems offer a new platform for predicting novel drug
targets & drug testing, and simulating biological systems – a systems approach.
Modeling cellular machinery through biological network comparison Roded
Sharan & Trey Ideker, NATURE BIOTECHNOLOGY VOLUME 24, 2006, 427-433.

Practical and theory will be done together.



47

VII.3.3 Theory in Practice: The Art of Project Management
Project management has evolved to plan, coordinate and control the complex and
diverse activities of modern industrial, commercial and management change and IT
projects. All projects share one common characteristic – the projection of ideas and
activities into new endeavors. The ever present element of risk and uncertainty
means that the events and tasks leading to completion can never to be foretold with
absolute accuracy. Examples abound of projects that have exceeded their costs by
enormous amounts, finishing late or even being abandoned before completion. Such
failures are far too common, seen in all kinds of projects industry, commerce and
specially the public sector.
This course is an introduction to the project management process, with special
emphasis on its life cycle, the organizations that are involved in it, and the tools used
in managing and delivering projects. The course is strongly based on the Project
Management Body of Knowledge (PMBOK). It will provide a guideline to students to
foresee or predIT as many of the dangers and problems as possible and to plan,
organize and control activities so that projects are completed successfully in spite of
all the risks. This process should start well before any resource is committed, and
must continue until all works are finished.The primary aim of the project manager is
for the result to satisfy the project sponsor or purchaser and all other principal
stakeholders, within the promised timescale and without using more money and
more resources than those that were originally set aside or budgeted.
By the conclusion of this course, you will have a practical knowledge of the:

project management development life cycle

role of the project manager within organizations and projects

difference between project management and product management

major project management knowledge areas:
o development of the project plan
o project scope management
o project time management
o project cost management
o project quality management
o project human resource management
o project communications management
o project risk management
o project procurement management
Students will also have hands-on experience with creating

project plans, which include objectives, scope, statement of work, deliverables,
and risk assessment

work breakdown structures (WBSs)

project schedules
Contents to be covered
Introduction to Project Management
Factors for project success or failure
Defining the project Task & Estimating the project costs


48

Steps in Planning the time Scale
Financial Appraisal and the business Plan
Estimating Risks, Project Authorization and Structure
Organization of Management Change and IT Projects
Work Breakdown and coding
Principles of Detailed Planning & Resource Scheduling
Computer Applications
Managing project startups, Procurement and Project costs
Managing multiple projects, programmes and closure.
Reading List:
1.
2.
3.
4.
5.
6.
7.
8.

Robert Buttrick, Project Workout: A Toolkit for Reaping the Rewards of All Your
Business Projects, Financial Times Prentice Hall, 2005.
Prasanna Chandra, Projects: Planning, Analysis, selection, Financing,
Implementation and Review, Tata McGraw Hill Publishing Company Ltd, New
Delhi, 2006.
J. Davidson Frame and Block. The Project Office: The essential Skills of Project
Management, Financial World, 2004.
H. Kerzner, Project Management: A Systems Approach to Planning Scheduling,
and Controlling, John Wiley & Sons, 2003.
Dennis Lock, Project Management, Gower Publishing Ltd., 2007.
Samuel Mantel, Jack Meredith, Scott Shafer, Margaret Sutton, and M.R.
Gopalan, Project Management: Core Text Book, Wiley India Edition, 2009.
PMI, The PMI Project Management Fact Book, PMI, 2002.
Kanda, Project management: A life cycle approach, PHI, New Delhi, 2011.

VII.4 Robotics: Design, Construct and Operate/ Systems Biology and
Synthetic Biology/ Operations and Technology Management

VII.4.1 Robotics: Design, Construct and Operate
This interactive learning unita intends to provide capabilities and basic understanding
concepts of computer controlled motion in different scenarios. It will provide an
insight of the technology that deals with the design, construction, and operation and
its application in manufacturing and automation processes.
Following topics will be covered (but not limited to):
Rule based expert systems: structure, characteristics, chaining inferences, conflict
resolution, basics of fuzzy sets and their operations, description of evolutionary and
genetic algorithms, modeling using Simulink, PID (proportional–integral–derivative)
controllers, implementation, stability and performance evaluations.
Basic concepts of robotics, links, degrees of freedom, end-effectors, position and
force/torque sensors, encoders, actuators, joint controllers, forward and inverse
kinematics, velocity mapping, Cartesian and joints space, forward kinematics of
nDOF planar robots, Inverse kinematics of 3 DOF planar robots.
Independent robot joint controllers- IInd order linear model of a robot actuator based


49

on DC motor with permanent magnet, calculation of parameters of the independent
PID joint controller, trajectory generators (ideas of cubic, quintic, cycloid and
trapezoidal), feedback control, behavior based control.

Reading List
1. R. Arkin, Behavior-Based Robotics, MIT press, 1998.
2. Howie Choset, Kevin Lynch, Seth Hutchinson, George Kantor, Wolfram Burgard,
Lydia Kavraki, and Sebastian Thrun, Principles of Robot Motion: Theory,
Algorithms, and Implementations, MIT Press, 2004.
3. J. J. Craig, Introduction to robotics, Prentice Hall, 2003.
4. F.G. Martin, Robotic Explorations: An Introduction to Engineering Through
Design,
5. S. Russell & P. Norvig, Artificial Intelligence: A Modern Approach Prentice Hall,
2010.
6. S. Thrun, W. Burgard, and D. Fox, Probabilistic Robotics, MIT Press,
Cambridge, 2005.

VII.4.2 Systems Biology and Synthetic Biology
The systems approach takes a holistic approach and attempts to bridge the
collective interaction of biomolecules with the higher order behavior of systems.
Living systems manage information at different orders of magnitude. The Biological
complexity of naturally evolved systems is far greater than that of artificial systems.
To understand this complexity at the molecular level, one needs to study the
collective contribution of weighted networks, feedback loops, reversibility of reactions,
transient networks and cooperative interaction. This demands novel ways of data
acquisition, analysis, integration and hypothesis generation. The studies on system
biology aim to build computational platforms for data integration and analysis and
find organizing principles in biology
(http://cssb.res.in/science.html)
(Some of the following website and review articles will be used to develop this
course)
Systems biology 101—what you need to know, Trey Ideker, Nature Biotechnology
22, 473 - 475 (2004) doi:10.1038/nbt0404-473
http://www.systembiologie.de/
http://www.utsouthwestern.edu/utsw/home/education/integrativebiology/
Synthetic Biology – Benner, S.A. and Sismour, A.M (2005) Nature Review
Genetics, 6: 533-543
Practical and theory will be done together.



50

VII.4.3 Operations and Technology Managements
As the world of operations has changed, so have interests and priorities within the
Unit. Historically, this module focused on manufacturing and the development of
physical products. Over the past several years, we have expanded our research,
course development, and course offerings to encompass new issues in information
technology, supply chains, and service industries.
This field is concerned with the design, management, and improvement of operating
systems and processes. As we seek to understand the challenges confronting firms
competing in today's demanding environment, the focus of our work has broadened
to include the multiple activities comprising a firm's "operating core":





the multi-function, multi-firm system that includes basic research, design,
engineering, product and process development and production of goods and
services within individual operating units;
the networks of information and material flows that tie operating units together
and the systems that support these networks;
the distribution and delivery of goods and services to customers.

Reading List:
1.R. R. Gehani, Management of Technology and Operations, John Wiley & Sons,
1998.
2.L.J. Krajewski, Operations Management: Processes and Value Chains, Pearson
Prentice Hall, 2007.
3.H. J. Thamain, Management of Technology: Managing Effectively in TechnologyIntensive Organizations, Wiley, 2005.



Activity Module:
Industrial Mini Project, Simulation of real time cases



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Semester VIII
Interactive Learning Modules
VIII.1 Fluidity in nature: computational interpretations
Basic equations of fluid dynamics and levels of approximation. Mathematical nature
of the flow equations and their boundary conditions. Grid and appropriate
transformation. Basic discretization techniques applied to model equations and
system of equations: finite difference, finite volume and finite element methods.
Analysis of numerical schemes : concept consistency, stability and convergence.
Error and stability analysis. Some applications.

Reading List:
1. D.A. Anderson, J.C. Tenehill and R.H. Pletcher, Computational Fluid
Dynamics and Heat Transfer, McGraw Hill, Hemisphere Publishing
Corporation, 1984.
2. J.D. Anderson, Computational Fluid Dynamics, gen.lib.rus.ec, 1995.
3. C. Hirsch, Numerical Computation of Internal and External Flows, John Wiley
and Sons, 1990.
VIII.2 Creativity in Digital World: Graphics and Multimedia
This interactive learning module intends to provide capabilities and understanding of
concepts of computer graphics and multimedia an area full of creativity and
exploration, which is becoming larger every day. It provides an insight right from the
basic behavior of light and goes on to describe multimedia based techniques for
audio visual representation relying on captured data.
Following topics will be covered (but not limited to):
Graphics system architecture, Rasterization algorithms, 2D and 3D Transformations,
3D surface Modeling, Viewing Transformation, Rendering Algorithms, Texture
Mapping, Color Systems, Fractals, Particle systems, Introduction to Solid Modeling,
Introduction to DUI, Current GUI Tools, Windows, X Windows, Motifs etc. Practical
implementation, Multimedia Information, Convergence of Computer, Communication
and Entertainment products, Multimedia systems Architecture. Coding and
Compression. Virtual reality technology, Video Conferencing, Multimedia Broadcast
Services, Content based retrieval for text And images, Indexing and retrieval of
Video Database, Distributed Multimedia systems, Multimedia man machine interface,
Applications of advanced image synthesis: visualization, animation, games, CAD
systems, simulation. Introduction of GPU and its architecture. Concepts of OpenGL
and its application in multimedia based systems.


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Reading List
1. E. Angel, Interactive computer graphics: a top-down approach using
OpenGL, Addison-Wesley, 2008.
2. Tomas Akenine-Moller, Eric Haines and Naty Hoffman, Real-time rendering,
A K Peters, 2008.
(http://books.google.com/books?id=V1k1V9Ra1FoC).

Activity Module:
Industrial Major Project



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