Syllabus

Course Code: DT-01-03    Course Name: Advanced Engineering Mathematics

MODULE NO / UNIT COURSE SYLLABUS CONTENTS OF MODULE NOTES
1 Elements of Probability and Statistics, components of operations research, Linear Algebra.
2 Ordinary Differential equations, Numerical methods for ODE and P.D.E. Generating functions, recurrence relations
3 Transform Techniques, Fourier series, Fourier Transform, Laplace Transform
4 Special functions: Power series method, Frobenious method, Legendre equation, Legendre polynomials, Bessel equation, Bessel functions of first kind, Orthogonal property
5 Elements of Ramsey theory, theorems of Burnside and Polya, and balanced incomplete block designs
6 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
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