The Department of Applied Mathematics came into existence with the inception of Institute of Armament Studies in 1953 as Faculty of Applied Mathematics. The faculty constituted of three departments: (1) Applied Mathematics (2) Ballistics (3) Statistics. In 1991 the three departments merged into one and named it as Department of Applied Mathematics. The department is offering two MTech programmes in Data Science and Modelling & Simulation and one MSc programme in Data Science.

 The faculty of Department of Applied Mathematics has been actively involved in the research in different fields of applied mathematics such as Numerical Solution to PDEs, Optimization, Statistics, Probability, Neural Network, Fuzzy Logic and Genetic Algorithm, Parallel Computing, Cryptography and Machine Learning, Deep Learning, Medical Imaging, Digital Image processing, ballistics, flight dynamics, hydro-dynamics, hydro-ballistics, etc.

The Department of Applied Mathematics has dedicated classrooms for all programmes equipped with state-of-the-art teaching facilities and seating arrangement. All faculty in the department are doctorates from prestigious institutes from India and abroad with expertise in the area of Modelling & Simulation, Computer Vision, Heat and Mass transfer, Fluid Dynamics, Numerical Analysis, Machine Learning, Statistical Analysis, Data Analytics, Deep Learning, Finite Element Methods, Fictious Domain Methods, Domain Decomposition Methods, Finite Difference Methods, Federated Learning, Responsible AI, Continuial Learning, High Performance Computing, Distributed Learning, Digital Image & Signal Processing, Medical Imaging, Computational Instrumentation, Prognostics and Health Management, etc.

The Department has four dedicated labs for computing and research work with high end workstations and equipped with MATLAB, python and R languages for performing alalytics and implementing and training deep learning models. The department of Applied Mathematics has organized conferences in the related areas as well as conduct capsule courses/workshops for students, scholars, tri-services officers, scientists, etc in the area of Mathematical and Data Sciences.

The Modelling & Simulation programme is a flagship course of DIAT which is more than four decades old. The department has a strong alumni group of reserachers, serving scientists, armed forces officers, and academicians who help the board of studies to enrich the curriculum to the industry and defence requirements of the country.

The faculty of Department of Applied Mathematics strives for excellence in contributing to the defence forces by solving problems in mathematical domians by taking up various research projects in the area of numerical analysis, fluid dynamics, machine learning, maritime navigation and mapping, surveillance, heat and mass transfer.