MAT 368E  Mathematical Modeling
Course Objectives
1. To teach fundamental concepts and approaches of the mathematical modelling.
2. By considering some problems of the engineering, industry and life, to teach investigate and solve as a mathematical problem.
3. To teach interpretation of model results and how to make improvements in the model.
Course Description
Principles, scale and dimension analysis. Mechanical vibration; linear oscillator and nonlinear pendulum. Populations models; discrete onespecies models, predatoryprey models. LotkaVolterra equations. Traffic flow models; traffic flow, density and conservation laws, velocitydensity relationship and density waves. Mathematical epidemiology; KermackMcKendrick SIR epidemic model, the SIR model with demography. The air quality modelling; advection equation, advection diffusion equation, the solutions and the stability analysis. Mathematical modelling of tumor growth.


Course Coordinator
Ersin Özuğurlu
Course Language
English


