School of  Mathematics and Allied Sciences

Programmes offered
M. Sc. (Mathematics)
M. Sc. (Computer Science)
M. Sc. Tech (Industrial Mathematics with Computer Application )  
M. Phil in Maths
Ph.D

Profile of the Department

Department Computer Lab

     Department Computer Lab

The School of Mathematics and Allied Sciences (SOMAAS) established in 1978, is an internationally recognized centre of Biomathematics and a well known centre for imparting higher education in the fields of mathematics, computer science and Information technology. With the growth of allied sub disciplines like mathematical modelling, mathematical ecology, mathematical epidemiology, numerical methods etc., the School has developed a multidisciplinary research group with the support of major research projects sponsored by UGC,DST & MPCST and also with collaborative research endeavour.

Looking to the needs of the society and trends of industries, a course  in Computer Application was started in 1988. which later was replaced by an advanced course  M. Sc. (Computer Science). The School was among the first few centres to start such course in Madhya Pradesh. Therefore it received a good response and the most of the pass outs from previous batches are absorbed in prestigious institutions like DRDO, IBM, HCL in India and in different software companies of abroad. In an attempt to cope up with modern developments of twenty first century a new course entitled M.Sc. Tech. (Industrial Mathematics with Computer Application) was started in 2005 which has been sponsored by UGC under the innovative programmes. This course will provide the opportunity to the students to get aquainted with  industrial and environmental problems. This will generate employment opportunities in various industries. Since last  two years the department has started Ph.D. programme in Computer Science also.

The teachers and research scholars of SOMAAS have  received  various awards and fellowships including Commonwealth Fellowship, Boyscast Fellowship for visit to foreign countries like U.K. & U.S.A.

The teachers of the department have visited foreign countries like U.S.A., U.K., Italy, Singapore, China, Panama, Turkey under various academic assignments. The prestigious Fellowship of Ramanujan Mathematical Society was conferred to one of the senior faculty members. Several best  paper presentation awards have been bagged by the students of SOMAAS at various annual conferences  of ISTAM, MPCST, Indian Sciences Congress and Vijanana Parishad of India.

The school has organized sixteen national and international conferences & symposia including three  orientation programmes and one refresher course  for teachers. The school has been visited by Scientists from various institutions over the world including countries like U.S.A., U.K. , Canada and Singapore.

Thirty five scholars have been awarded Ph.D at SOMAAS, and 10 scholars have  passed NET/SLET examinations.

      The faculty members have more than hundred research papers to their credit published in reputed journals.

The school has well furnished class rooms, AC seminar  room , computer center and other facilities too. The School also has a specialized and up-to-date library of its own housing 7000 books.

As a special feature of M.Sc.(computer Science) and M.Sc.Tech programme all the students of final semester are required to undergo training in the industries for a minimum period of four months. This is highly satisfying that our pass outs so far have been received with proper status and assignment in their respective  jobs.

Eligibility

M.Sc. Mathematics:

Available Seats: Open = 35 Payments = 15 NRI = 05

Eligibility: B.Sc. with mathematics. With 50% marks in aggregate

Mode of admission: On the basis of the Index based on the merit in qualifying examination.

Mode of Selection : Please see General Rules

Faculty :

Name

Designation

Prof. Renu Jain

Professor , Co-ordinator M.Sc.Computer Science

Prof. O. P. Mishra

Professor  & Head

Course Structure

It is a two Year's course which comprises of four semesters. The students have to undertake four papers in each semester.

(a) M.Sc. Mathematics:-           

1- Semester

·   Advanced Abstract Algebra

·   Analysis

·   Discrete Mathematical Structures

Any one of the following

  • Programming in C & C++(optional)

  • Mechanics (optional)

·   Practical with programming in C

 

II- Semester    

·   Complex Analysis                                                    

·   Differential Equations

·   Integral Equations and Boundary Value Problems     

Any one of the following      

  • Numerical Methods (optional)                                             

  • Fluid Mechanics (optional)

·   Practical with programming in C++

III- Semester

·   Functional Analysis

·   Topology

Any two of the following

·         Operation Research (optional)

·         Mathematical Biology (optional)

·         Advanced Numerical Methods(optional)

Practicals based on Optional papers

IV-Semester

·   Partial Differential Equations

Any three  of the following 

    Advanced Functional Analysis   ·   Wavelets

·   Mathematics of Finance & Insurance

·   Computational Biology

·   Fuzzy Sets and their Application

·   Advanced Graph Theory                              

·   Biomechanics,

·   Neural Networks,

·   Advanced   Mathematical Statistics

·   Practicals based on Numerical solution of PDE’s

M.Sc. Computer Science

Eligibility: B.Sc.with Mathematics/Statistics/Computer Science/Electronics with 50% marks in aggregate.

Available Seats: Open = 25  Payment = 10      NRI = 05

Mode of admission : Merit in entrance test.

 Mode of Selection : Please see General Rules

Course Structure

(b) M.Sc. Computer Science:-

I –Semester

·   Computer Architecture

· DiscreteMathematics with Data Structure

·   Operating System

·   Object Oriented Programming with C++

·   Practical (Based on C++)

II -Semester                                                              

·   Computer Oriented Num. & Stat.Method

·   Software Engineering

·   DBMS (Oracle-Based)

·   Computer Networks

·   Practical (Based on Oracle)

III-Semester

·   Theory of Computation

·   Techniques of Operation Research

·   Object Oriented Programming with Java

·   Optional (any one)

·         Artificial Intelligence

·         Algorithm Design

·         Modelling and Simulation

·         Visual Basic

·   Practical(Based on Java)

IV -Semester                                                 

·      Systems Programming

·      Computer Graphics

·      Optional (any one)

· Neural Network

· Parallel Processing

· Image Processing

· Internet & Web Technology

· Distributed Computing

· Windows Programming & VC++

· Data Mining and Data Warehousing

· Bio-informatics,  Project 

TOP

M.Sc.Tech(Industrial Mathematics with Computer Application):

Eligibility:              :B.Sc. with Mathematics/ Applied Mathematics/Computer Science /   Computer     Application / Information Technology /with  55% marks in aggregate. B.E. / B.Tech. in computer science/ Computer Engineering / information   Technology  with 55%  marks in aggregate.

Available seats              : 20(Two seats are reserved for teacher candidates of Gwalior region) NRI=02

Mode of admission     : On the basis of the Index based on the merit in qualifying examination.

 M. Phil

1. Profile of the Course :

      This course is designed to familiarise the students with the research methodology and environment and to develop their capacity for independent thinking and critical analysis of the problems so as to provide an interface between post graduate programmes and subsequent research assignments.

Eligibility:           M.Sc. (Mathematics / Applied Mathematics / ) with 55% marks.

Available Seats: Open-10 (Two seats are reserved for teacher candidates employed in the S.O.S.or colleges 

                        affliliated to jiwaji University,Gwalior),    NRI=02

Mode of admission:- On the basis of the Index based on the merit in qualifying examination.

Duration of the Course : Two Semester

      I- Semester                                                                               II -Semester

  1. Research Methodology in Mathematical Sciences                1.   Advanced Numerical and Statistical

2.   Optional (anyone from the following Techniques using Mathematical software (Matlab).

  • Biofluid Dynamics                                                             2.  Dissertation
  • Mathematical Ecology                                                                          
  • Bio Heat Transfer
  • Mathematical  Epidemiology,     
  • Atmospheric Pollution Modelling
  • Generalized Hypergeometric functions

Ph.D

      The school of Mathematics & Allied Sciences offers Ph.D Programme in various streams of mathematics and computer  science with an emphasis on bio-Mathematics biosystems.

Following are the thrust areas of research :

1.Mathematical study of Bio-diffusion

2.Mathematical Modelling in population Dynamics

3.Mathematical Modelling of Communicable diseases.

4.Lie theory and special functions.

5.Air Pollution modelling

6.Theoritical computer science.
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