Department of Instrumentation and Control

IE 5101   Advanced Mathematics

Numerical Methods to ordinary differential equations: 

Numerical solutions to ordinary differential equations of first & second order with initial & boundary conditions, Picard’s method, Taylor series methods, Euler’s method & modified Euler’s method, Plilne’s method & Runge Kutta methods.

Numerical Solutions to partial differential equations:

Finite difference equivalence to partial derivatives, elliptic, parabolic & hyperbolic equations, applications to one dimensional & two dimensional equations, Schmidt’s & Cronk Nicholson’s method.

Linear Programming Problems:

Introduction & formations of the problems, graphical method, simplex method, duality concept in LPP & solution of the dual.

Statistical Quality Control:

Introduction, control charts of all types, ISO 9000 series & their importance, OC curves, advantages & limitations of SQL in industries.

Random Variables & theoretical distributions:

Discrete & continuous frequency distributions, Stochastic process, Marovian chain, simulation techniques.

Reliability Theory:

Theory of reliability, maintainability, availability, failure distribution, MTTF, MTBF, Hazard rate, Bath tub curve, state dependent systems, series & parallel connection, redundancy of systems.

Reference Books

1. Numerical methods by S. S. Sastry, (Pearson Education)
2. Statistical methods by S. P. Gupta.
3. Reliability & Maintainability Engg. By Charles E. Ebeling, (Pearson Education Mc- Graw Hill)
4. Operations Research by S. D. Sharma, Kedar Nath Ram Nath Company,Meerut.