Introduction
It is well known that most of the technological processes in industry are
described effectively by using mathematical frame work. This frame work
is then subsequently used to analyse and comprehend advantages and disadvantages
in adopting efficient and novel methodologies in these processes, resulting
into the introduction of Mathematical Technology.
This Technology deals with multitude of mathematical and Statistical Techniques
applied in various fields of engineering and technological sciences. In
view of recent advances in computing and hardware capabilities, these techniques
have also acquried a new dimension in their implementation with respect
to reliability and robustness.The awareness and ability to use this Technology
is perceived to be essential for modern day academicians and technocrats.
Historical
Perspectives
With a mission to close the gap between theory and its applications,
the IMG activity started in 1991. Initial discussions with various Industries
and Research & Organisations in and around Mumbai helped the group
to organise a workshop on Industrial Mathematics at the MS University,
Baroda in 1993 during July 6 to 9. The main objective of this workshop
was to provide an insight into some important mathematical and statistical
techniques used in industrial applications covering the four
modules: Systems Analysis, Optimization Techniques, Finite Element
Methods and Industrial Statistics.
The modules were presented in a computer -aided-instructional environment
and each topic in the module started with a case study, the language which
personnel from industry can understand, then mathematical techniques
were introduced with examples. Finally, the case study was revisited
with tutorial as well as hands-on-experience with computers.
Because of its overwhelming success, the pattern of presentation was
subsequently followed by the other workshops organised by this group
from time to time. With a view to systematically study the problems
pertaining to Industrial Mathematics, IMG has initiated the taking
projects.
Objectives
The Industrial Mathematics
Group (IMG) at I.I.T Bombay aims to provide necessary inputs for Mathematical
Technology in terms of
-
Research and Development
Projects
-
Consultancy Projects
-
In-House and In-Campus
Workshops
-
Curriculum Development
Activities
-
Skill Development Activities
Essentialy, these objectives
entail forging long term partnership betweeen the academia and industry
by
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PROVIDING viable
Mathematical framework to analyse and comprehend efficient methodologies
in Technological processes
-
DESIGNING appropriate
mathematical and statistical software for industrial problems supplemented
with Courseware and Teachware.
-
ESTABLISHING
computer aided instructional environment equipped with a software library
developed in-house.
-
TRAINING of
scientists and engineers in the realm of industrial Mathematics for technical
competence and human resource development.
-
DEVELOPING a
Network of Indunstrial Mathematics for collaborating with local industrial
units on a continuing basis.
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CREATING FTP
site for public domain numerical software packages to function as a mirror
site of similar centres in the World.
Instruments
of Operation
-
Computer Aided Instructional
Lab
-
Study Groups
-
Industry-University
Meet
-
Software Development
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Resource Center Networking
-
Quality Improvement
Programe (QIP)
-
Continuing Education
Programe (CEP)
Workplan
-
Setting up of Computer
Aided Instructional (CAI) Lab
-
Indentification of
Resource Persons from diferent Academic Institutions
-
Industry-University
Meet for exposition of Industrial Problems
-
Mathematical Modelling
and Analysis of Various Case Studies
-
Software Development
for sample problems
-
Initiation of Resource
Persons to Industrial Problems
-
Porting Mathematical
Softwares in CAI Lab
-
Training Programme
through QIP, CEP
-
Final Phase of Solution
Software
-
Compilation of library
subroutines ( source code of various routines, drivers for various packages.
GUI for scientific softwares )for CAI Lab
-
Generation of new set
of industrial problems by resource persons
-
Integration of case
studies, mathematical software and computational tools for the development
of new course material
-
New Teaching Strategy
Realization
of Objectives
-
Division of Research
Activity into four major groups:
1. Computational Mathematics
2. Operational Research
3. Computer Aided Geometry
4. Applied Statistics
These groups are
presently engaged in doing literture survey in the respective areas focussed
towards problems outlined in the project proposal
-
Through study of mathematical
packages like Mathematica, Matlab, SAS, LSODE etc and upgradation of in
house developed software OPTIMIZE
-
Indentification of
Resource Persons -regionwise