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Course Detail

Course Name Advanced Engineering Mathematics
Course Code 25DT603
Program M.Tech. in Defence Technology
Semester 1
Credits 4
Campus Coimbatore

Syllabus

Course Content
Unit Contents Contact Hrs.
1. Introduction to Probability and Statistics. Basic Probability theory, statistical distributions, binomial, Poisson, exponential and normal distributions. 10
2. Introduction to Linear Algebra: Vector space, subspace, row, column and null spaces. Inner product, orthogonality. Gram-Schmidt process and least square approximation. 10
3. Differential Equations: Ordinary Differential equations (second order), Numerical methods for ODE. PDE, Fourier series, Fourier transform and one-dimensional heat and wave equations. 10
4. Special functions: Power series method, Frobenious method, Legendre equation, Legendre polynomials, Bessel equation, Bessel functions of first kind, Orthogonal property. 8
5. Introduction to graph theory: Graphs, degree, types of graphs, and introduction to Ramsey theory. 7
6. Application areas with defence relevance range from mathematics to computer science. 5
Total 50

Objectives and Outcomes

Course Objectives

The main objective of the course is to provide knowledge to the students of probability theory, algebra, solutions of Differential equations, Transform techniques, special functions & their applications in the areas with defence relevance.

Course Outcomes

At the end of the course the student should be able to

  • Know the methods for solving differential equations, generating functions.
  • Understand basic concepts of Fourier Transform, Laplace Transforms and solve problems with periodic functions, step functions, impulse functions and convolution.
  • Demonstrate MATLAB programming for engineering problems.
  • Understand the utilization of mathematical methods for solving problems having relevance to defence applications.

Text Books / References

References / Suggested Books:

  1. Erwin Kreyszig, Advanced Engineering Mathematics, 10th Edition, Wiley-India Pvt. Ltd., 2011.
  2. Kenneth H. Rosen, “Discrete Mathematics and its Applications”, Tata McGraw- Hill Publishing Company Limited, New Delhi, Sixth Edition, 2007.
  3. Michael Greenberg, Advanced Engineering Mathematics, 2nd Edition, Pearson, 2011
  4. Engineering Mathematics, Srimanta Pal and Subodh C Bhunia, Oxford university press, 2015.
  5. Advanced Engineering Mathematics, Wylie and Barrett, 6th Edition, McGraw Hall India, 2015.

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