The Department of Applied Mathematics came into existence with the inception of Institute of Armament Studies in 1953 as Department of Mathematics and Ballistics. The aim of the Department was to provide training in mathematical topics to various courses conducted at IAT. Since then the Department members have been actively involved in the research in different fields of applied mathematics such as ballistics, flight dynamics, hydro dynamics, hydro-ballistics, Numerical Methods and Optimization. Recently the Department has also developed expertise in the advanced Modelling and simulation techniques like Neural Network, Fuzzy Logic and Genetic Algorithm.
The Department also has an expertise in the field of Statistics, Probability and in Cryptography. The present strength of the Department is eight.
The Department is also actively engaged in handling the projects from various agencies. Following are the broad areas in which Department has completed the project proposals.

Modelling & Simulation Course

Owing to the growth of large scale industries such as Aviation, Defence Laboratories, Chemical Industries, it has become an essential factor to model and simulate a real system on a small scale using mathematical and engineering methods for its prediction purpose. This will not only helps in saving major funds of the industries but also can be used for better augmenting the design for future competitive market. In view of its importance an M.Tech. Course in Modeling & Simulation is being offered by the Department since 1989 for meeting the requirement of Defence and Scientific staff working in Government and other Public Undertaking. So far the Department has trained more than 200 officers in this field.

Eligibility:

Masters Degree in Mathematics / Statistics / Physics/ O.R. / Computer Science provided Mathematics is one of the subjects at Graduate Level/ Degree in Engineering /Technology of a recognized Institute / University.

Capacity: Maximum of 20 officers

Duration : 2 years
Syllabus:
The subjects covered during the Course are:
Mathematical Techniques, Statistical & Optimization Techniques ,Mathematical Modelling & Linear Control, Design and Analysis of Data Structures and Algorithms, C and C++ Programming, Microprocessors & Parallel Processing, Non-linear Systems & Optimal Control, Discrete Event Simulation, Advanced Modelling Technique (Neural Networks, Fuzzy Logic, Genetic Algorithms etc.), Geometric Modelling & Analysis.
The student is required to complete many Practical problems related to Modelling & Simulation.

 

Dissertation:

Students are required to work for one year on a large system modeling and simulation topic chosen for dissertation.
It is also intended to start M Phil and Ph. D programme from the Department in the areas of Mathematics, Ballistics, Statistics and Probability

Facilities:

• Simulation Softwares like Mat lab, Mathematica, and Fluent.
• Statistical Software SPSS.
• Central Computing, Internet, and Library Facilities.
Research Areas:

Following are the research areas in which the present Department are engaged with.
• Modelling and Simulation
• Neural Network
• Fuzzy logic
• Genetic Algorithm
• Ballistics
• Hydro Dynamics of Torpedoes
• Numerical Analysis
• Cryptography
• Graph Theory
• Fluid Dynamics
• Statistics and Probabilit

Sponsered Projects:

Snow and avalanche study establishment (SASE) at Manali (HQ) has recently approached the Department for undertaking a project on “Estimation of quantitative Precipitation over different climatic zones of western Himalayas” in joint collaboration with IAT. The proposal has been sanctioned and expected to complete in two years duration.

It is intended that the studies will help in forecasting for the avalanches for the troops marching onto avalanche prone areas for monitoring of border in the snow bound hilly region. The proposal involves using of Advance Modelling Techniques for the estimation of desired parameters.