**Mathematical Modeling and Control Theory (Q)**

*Last offered Spring 2013*

Mathematical modeling is concerned with translating a natural phenomenon into a mathematical form. In this abstract form the underlying principles of the phenomenon can be carefully examined and real-world behavior can be interpreted in terms of mathematical shapes. The models we investigate include feedback phenomena, phase locked oscillators, multiple population dynamics, reaction-diffusion equations, shock waves, morphogenesis, and the spread of pollution, forest fires, and diseases. Often the natural phenomenon has some aspect we can control--such as how much pollution, electric charge, or chemotherapeutic agent we put into a river, circuit, or cancer patient. We will investigate how to operate such controls in order to achieve a specific goal or optimize some interpretation of performance. We will employ tools from the fields of differential equations and dynamical systems. The course is intended for students in the mathematical, physical, and chemical sciences, as well as for students who are seriously interested in the mathematical aspects of physiology, economics, geology, biology, and environmental studies.

**lecture**

*Class Format:***evaluation will be based primarily on performance of problem sets and exams**

*Requirements/Evaluation:*

*Additional Info:*

*Additional Info2:***Differential Equations (MATH 209/PHYS 210) and Real Analysis (MATH 350/351) (formerly 301/305), or permission of the instructor**

*Prerequisites:*

*Enrollment Preference:*

*Department Notes:*

*Material and Lab Fees:*

*Distribution Notes:***Division III,Quantitative and Formal Reasoning**

*Divisional Attributes:***COGS Related Courses**

*Other Attributes:***50**

*Enrollment Limit:***12**

*Expected Enrollment:***3234**

*Class Number:*CLASSES | ATTR | INSTRUCTORS | TIMES | CLASS NUMBER |
---|---|---|---|---|

MATH 433 LEC Math Modeling&Control Theory (Q) | Stewart D. Johnson |