Lecturer: Weizhu Bao

Office: S14 #04-20;

Office Hours: Friday 10:00-11:30am or by appointment at S14 #04-20.

Phone: 6516-2765(o); E-mail: bao@math.nus.edu.sg

Course Web: http://www.math.nus.edu.sg/~bao/cz5103/cz5103.html

Lecture time/venue: Friday 2:00-5:00pm at S13 #05-07.

Textbook:

• A.C. Fowler: Mathematical Models in the Applied Sciences (1997). Publisher: Cambridge University Press. ISBN: 0-521-46140-5.
• T. Svobodny: Mathematical Modeling for Industry and Engineering (1998). Publisher: Prentice Hall. ISBN: 0-13-260894-4.
• M. M. Meerschaert: Mathematical Modeling (1999). Publisher: Academic Press. ISBN: 0-12-487652-8.

Reference Book :

Course Outline: The module covers introduction of mathematical models in science, applied science, engineering, industry and social science; analytical and numerical methods to study mathematical models; and applications. Mathematical models including discrete models, continuous models, optimization models, probability models, stochastic models etc. will be touched. Analytical methods on nondimensionalization, asymptotics, perturbation methods, etc.; and numerical methods for solving ordinary differential equations (ODEs), finite difference method for partial differential equations (PDEs) and Monte Carlo simulation will be introduced for studying mathematical models. Furthermore, mathematical software, e.g. Matlab, Mathematica or Maple, DXML will be briefed. Detail Outline

Grading: The course grade will be calculated as follows: Final exam: 50%; Projects and Homework assignments: 50%.

Schedule of tests:

• Final exam: Monday, 27 Nov 2006, 5:00--7:00pm at LT25 .

Homework and Lab Assignments: click here for assignments

This course outline is available on web site: http://www.math.nus.edu.sg/~bao/cz5103/cz5103.html