Lecture 12; Math 636

 

LEFTOVERS

            Project Talks?

            Submission Formats

 

THREADS

            There are two new ones.

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

            Could continue in Bender

            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 (x4 + ux3 +vx) – the cusp (fold) catastrophe

 

 

A visual example:

 

 

 

Some More Calculus

            The Edgeworth Box