physical science and modern technology. Besides the modeling, we shall introduce various mathematical

techniques in solving the problems in the models, for instance, the linearization method for nonlinear

differential equations.

I shall use my own lecture notes and there are reference books as follows:

(1)Avner Friedman , Chui-Yen Kao: Mathematical medeling of biological process,Sp[ringer (2014)

(2) Christiane Rousseau, Yvan Saint-Aubin: Mathematics and Technology, Springer (2008).

The syllables are follows:

(i)Continuous models: Single species growth, Logistic equation; multiple species interactions: predator-prey

model, competition models.

(ii) Discrete map: discretized logistic map, age structure model.

(iii) Chemical reactions and enzyme kinetics

(iv) Infectious disease and epidemics.

(v) Mathematics and technology: mathematical models of GPS, search engine, Robotic motion.

Grading Policy:

(1) Homework 20%

(2)Mid-term 40%

(3)Final Exam. 40%