Wang Hao. Mathematical Modeling I - preliminary

Bookboon, 2012. — 106 p. — ISBN: 978-87-403-0248-6.Mathematical modeling is the most effective bridge connecting mathematics and many disciplines such as physics, biology, computer science, engineering, and social sciences. A mathematical model, which is a mathematical description of a real system, can potentially help to explain a system, to uncover the underlying mechanisms via hypotheses and data fitting, to examine the effects of different components, and to make predictions.Mathematical Modeling I – preliminary is designed for undergraduate students. Two other followup books, Mathematical Modeling II – advanced and Mathematical Modeling III – case studies in biology, will be published. II and III will be designed for both graduate students and undergraduate students. All the three books are independent and useful for study and application of mathematical modeling in any discipline.Discrete-time models
Continuous-time models
Sensitivity analysis
Systems of difference equations (discrete)
Systems of differential equations (continuous)
Bifurcation analysis
MatLAB programming
Data fitting.