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MAT 368E
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Course Information
Course Name
Turkish
Matematiksel modelleme
English
Mathematical Modeling
Course Code
MAT 368E
Credit
Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester
2
3
3


Course Language
English
Course Coordinator
Ersin Özuğurlu
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 Outcomes
Prerequisite(s)
Required Facilities
Other
Textbook
Mathematical Models: Mechanical vibrations, Population Dynamics and Traffic flow, R. Haberman, 1998.
Other References
) An introduction to Mathematical Epidemiology. M. Martchevan. 2015.
2) Principles of Mathematical Modeling, C. Dym, 2004.
3) Industrial Mathematics:A Course in Solving RealWorld Problems
A. Friedman & W. Littman, 1993.
4)Cancer Modelling and Simulation/Edited by Luigi Preziosi, Chapman&Hall/CRC mathematical biology and medicine series V.3, 2003
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