Lecture 12; Math 636

**LEFTOVERS**

Project
Talks?

Submission
Formats

**THREADS**

There
are two new ones.

ÒYou will all have to choose one
of the presented projects to join for the last five weeks of the course.Ó

Could
continue in Bender É

Or
choose areas (like Catastrophy theory, game theory, theory of _______) to read
and report about.

Or
find models in research articles and report on those?

**NEW**

Catastrophe theory

Systems whose state x is characterized by the minimum of a function f(x,u), where u is the control.

(x and u are n and m-tuples, respectively).

min
(x^{4} + ux^{3} +vx) – the cusp (fold) catastrophe

A visual example:

Some More Calculus

The Edgeworth Box