Mathematical Modeling I

Course: AMT 121 2.0 Mathematical Modeling I (Compulsory)

Course content:

Introduction to mathematical modeling; Continuous time models, Population Models: Single species: exponential, logistic model, population with harvesting, two species interaction; Infectious diseases, Epidemics; Discrete time models; Other models (Mechanical and electrical vibrating systems, Chemical reactions, Newton’s Law of Cooling, Mixing Problem, etc)

Recommended Readings:

  1. Kapur, J.N. (1988). Mathematical Modeling. New Age International.
  2. Cullen, M.R & Zill, D.G. (2009). Differential Equations with. Boundary-Value Problems (7th ed). Brooks / Cole Publishing Company.
  3. Giordano,F.R., Fox,W.P., & Weir, M.D. (2003). Mathematical Modeling. Brooks / Cole Publishing Company.
  4. Boyce,W.E. & DiPrima, R.C.(2004). Elementary differential equations & Boundary Value Problems. John Wiley & Sons Incorporated.