MSM4405: Application of Mathematics in Environmental Studies

HNGU M.SC. MATHEMATICS SEMESTER - 4 

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.

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