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Course Information

Course Name
Turkish Matematiksel modelleme
English Mathematical Modeling
Course Code
MAT 368E Credit Lecture
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
Required Facilities
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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