Lecture 12; Math 636



            Project Talks?

            Submission Formats



            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?



            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