MSM4405: Application of Mathematics in Environmental Studies

MSM4405: 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 – 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) – K. Swarup, P. K. Gupt and Man Mohan, Sultan Chand & Sons, New Delhi, 2000.

4. Applied Operation Research: A Survey (for Group B) – 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) – C. J. Krebs, Harper and Row Publishers, 1978.