This course is an introduction to mathematical modeling. Topics include: power laws (modeling of branching vascular networks), recurrence relations (modeling of annual plants), conservation laws and boundary value problems (modeling of heat diffusion), an introduction to the theory of waves (modeling of traffic at a red light).
Students are expected to learn how to identify a problem, construct or select appropriate models, figure out what data needs to be collected, test the validity of a model, calculate solutions and implement and criticize the model.
Lectures: MTWRF -- 10.30 am - 12.45 pm, Bryan 328
To be handed in at the Monday lecture meeting. Do all problems assigned. These will be graded and returned to you the next week. Please be sure that your work is legible.
No late homework will be accepted. You may work cooperatively on assignments provided
You will be required to write a program to solve certain homework problems.The program must be handed in as part of the assignment, together with the output of the program, in the format indicated in the assignment, and an interpretation of the results whenever necessary. All programs should be written in Matlab.
The final project counts 60%, homework counts 20% and the remaining 20% is apportioned among quizzes and class participation.
An incomplete will be given only in those rare circumstances where a student has completed all but a small portion of the course with a grade C or better and a severe, unexpected event prevents him/her from completing the course. In particular, if you get behind in the course you cannot ``bail out" by taking an incomplete.
You are responsible for the material covered in class, whether you attend or not. You are also responsible for the announcements made during class; these may include changes in the syllabus.