In this course, students will learn how to formulate and analyze mathematical models. The mathematical tools to be handled include dimensional analysis, optimization, numerical simulation, elementary probability and stochastic processes, as well as elementary differential equations. The fields of application include biology, economics, and other areas of science. The necessary mathematical and scientific background will be developed as needed. Students will learn how to simulate models using MATLAB.
Students will learn how to formulate, analyze and simulate mathematical models.
- R. Illner et al. Mathematical Modelling: A Case Studies Approach. AMS, 2005.
- E. Bender. Introduction to Mathematical Modelling. Dover, 2000.
- D. Higham, N.Higham. Matlab Guide. SIAM, 2005.
- P. Brockwell, R. Davis. Introduction to Time Series and Forecasting, Springer, 2010.
- D. Higham. “Modeling and Simulating Chemical Reactions”. In: SIAM Review, 347-368, 2008.