Instructor: Sergei Chmutov
Classes: Monday, Wednesday 1:00-2:50 at Clapp 401
Textbook: Laboratories in Mathematical Experimentation. A bridge to higher mathematics by G.Cobb etc. Springer, 1997.
Projects: There will be five projects projects due
Sep.29, Oct.13, Nov.1, Nov.22, Dec.15 correspondently.
The last project will serve as a final examination. Its subject will be
under a student choice. The subjects of the first four are following:
--- Iterations of Linear Functions (Chapter 1)
--- Cyclic Difference Sets (Chapter 2)
--- The Coloring of Graphs (Chapter 5)
--- Polyhedra (Chapter 7)
A student can choose his own subject for a project if she does not like
the suggested one. Projects will be doing in groups of two - three
students.
Reports: A report should be 4-6 pages long, typed preferebly in
TeX. It sould reflect the following:
--- presentation of the problem;
--- your experimental strategy and/or design;
--- results of your experimentation;
--- analysis of data;
--- mathematical analysis of conjectures.
Grading: Each of the first four projects gives 50pt. The last
project gives 100pt.
Most important parameters under evaluation are:
--- presentation of the problem;
--- presentation of the data;
--- choise of questions to investigate;
--- analysis of the data and justification of conjectures;
--- mathematical analysis of conjectures.