HNGU M.SC. MATHEMATICS SEMESTER - 4
MSM4405 β APPLICATION OF MATHEMATICS IN ENVIRONMENTAL STUDIES
UNIT 1&2:
- Linear Equations
- matrix form
- row reduction
- row rank and column rank
- row equivalence
- row reduced echelon matrices
- various methods to find solutions of a system of linear equations
- linear inequalities
UNIT 3&4:
- Introduction to ecology and environment
- linear programming problem β introduction
- graphical solution method
- some exceptional cases
- general linear programming problem
- duality
- simplex method
- problems related to ecology and environment.
Download Reference Textbook:
1. Linear Algebra 2nd edition - K. Hoffman and R. Kunze,Prentice Hall of India Pvt, New Delhi, 2000.
2. Introduction to Matrices and Linear Transformations 3rd ed - D. T. Finkbeiner, D.B. Taraporevala, Bombay, 1990.
3. Operations Research (for Group B) β K. Swarup, P. K. Gupt and Man Mohan, Sultan Chand & Sons, New Delhi, 2000.
4. Applied Operation Research: A Survey (for Group B) β G. E. Whitehouse and B. L. Wechsler, John Wiley & Sons, 1975.
5. Ecology: The Experimental Analysis of Distribution and Abundance (2nd edition) (for Group B) β C. J. Krebs, Harper and Row Publishers, 1978.
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