Mathematical Modelling (6931)
This course starts on September 9, 2024
| Class location: Ross 110, Gauss Lab Class meetings: Every Monday and Wednesday Lecture times: 13:00 - 14:30 | Office hours: Mondays 14:30 - 15:00 (or by appointment) Office location: Ross S619 Academic semester: Fall 2024 |
Course Outline
- Quick review (differential equations; linear algebra, units and scaling)
- Principles of modeling (concepts, design and structure, compartmentalization, single and interacting, and applications)
- Dynamical systems (continuous and discrete models; stability analysis, bifurcations, simulation methods, and phase and space illustrations)
- Deterministic and stochastic models (probability, Monte-Carlo methods, Markov Chain processes)
- Case studies (population models of growth, interacting species, epidemics, pathogen-host interactions, evolution; traffic model, and other physical and biological models)
- Computational experiments (simulating stochastic and deterministic methods using Matlab or other languages)
Textbook
Mathematical Modelling, A Graduate Textbook: https://www.wiley.com/en-us/Mathematical+Modelling%3A+A+Graduate+Textbook-p-9781119483946
Prerequisites
- Differential Equations
- Linear Algebra
Evaluation Criteria
- Midterm test: 35%
- Individual project: 15%
- Project presentation: 10%
- Final Exam: 40%
- Note: There will be no plussage
- Note: If a student is not able to write the mid-term for a documented reason, then final exam will worth 65%
- Note: Due date for individual projects and class presentations will be announced at a later date. No extension to due dates will be applied
Important Dates
- Midterm test: October 21, 2024
- Delivery of the individual projects: On the day of presentation (will be announced later)
- Final exam: will be announced later