Course

PROFESSIONAL ELECTIVES UNDER SCIENCE STREAM

Mathematics

09 (a) Roots finding methods:

Roots of Transcendental and Polynomial Equations: Bisection method, Iteration methods based on first degree equation, Rate of convergence, system of nonlinear equations.

09 (b) Interpolations:

Interpolation and Approximation: Lagrange, Newton’s Divided Difference, Newton’s Forward and Backward interpolations.

07 (b) Multivariable optimization (2 Credits)

Optimality criteria – unidirectional search – direct search methods – gradient based methods. Lagrangian and Kuhn- Tucker conditions.

Text Books / References

TEXTBOOK:

1. Edwin P. Chong, Stanislaw H. Zak, “An introduction to Optimization”, 2nd edition, Wiley, 2013.
2. K. Jain, S.R.K. Iyengar and R.K. Jain, Numerical methods for scientific and Engineering computation, New Age International Publishers, 2007, 5th edition.

REFERENCES:

1. Kalyanmoy Deb, “Optimization for Engineering Design: Algorithms and Examples, Prentice Hall,
2. S. Rao, “Optimization Theory and Applications”, Second Edition, New Age International (P) Limited Publishers, 1995.

Evaluation Pattern

*CA – Can be Quizzes, Assignment, Projects, and Reports.