In this course, we shall introduce undergraduate students the methods of modeling in biological science, 
<br>physical science and modern technology. Besides the modeling, we shall introduce various mathematical 
<br>techniques in solving the problems in the models, for instance, the linearization method for nonlinear 
<br>differential equations.
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<br>I shall use my own lecture notes and there are reference books as follows:
<br>(1)Avner Friedman , Chui-Yen Kao: Mathematical medeling of biological process,Sp[ringer (2014)
<br>(2) Christiane Rousseau, Yvan Saint-Aubin: Mathematics and Technology, Springer (2008).
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<br>The syllables are follows:
<br>(i)Continuous models: Single species growth, Logistic equation; multiple species interactions: predator-prey 
<br>model, competition models.
<br>(ii) Discrete map: discretized logistic map, age structure model.
<br>(iii) Chemical reactions and enzyme kinetics
<br>(iv) Infectious disease and epidemics.
<br>(v) Mathematics and technology: mathematical models of GPS, search engine, Robotic motion.
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<br>Grading Policy:
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<br>(1) Homework 20%
<br>(2)Mid-term 40%
<br>(3)Final Exam. 40%
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