Objective of the course is to provide knowledge to the students of:
- Probability Theory
- Solutions of Differential Equations Transform Techniques
- Special functions & their applications in the areas with Defence
- Know the methods for solving differential equations, generating functions
- Basic concepts of:
- Fourier Transform
- Laplace Transforms
- Solve problems with periodic functions, step functions, impulse functions and convolution.
- Demonstrate MATLAB programming for engineering problems
- Utilization of mathematical methods for solving problems having relevance to Defence applications
- Elements of Probability and Statistics, components of operations research, Linear Algebra
- Ordinary Differential equations, Numerical methods for ODE and P.D.E. Generating functions, recurrence relations
- Transform Techniques, Fourier series, Fourier Transform, Laplas Transform
- Special functions:
- Power series method
- Frobenious method
- Legendre equation
- Legendre polynomials
- Bessel equation
- Bessel functions of first kind
- Orthogonal property
- Elements of Ramsey theory, theorems of Burnside and Polya, and balanced incomplete block designs
- Application areas with defence relevance range from mathematics to computer science and operations research, applications in probability, game theory, network design, coding theory, and experimental design.
