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 one-species models, predatory-prey models. Lotka-Volterra equations. Traffic flow models; traffic flow, density and conservation laws, velocity-density relationship and density waves. Mathematical epidemiology; Kermack-McKendrick 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
Pre-requisite(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 Real-World 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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