Lec 19 MIT 18.085 Computational Science and Engineering I
two big themes in in in lectures that are coming uh well there's several lectures on Signal processing and in particular on wavelet developments so that's a half dozen lectures that that are sort of a unit in the course uh the other major theme is maybe the right word would be optimization how do you how do you identify and compute uh an Optimum uh of course in freshman calculus you have a function f ofx you take its derivative and set it to zero now uh we got to move up from there to functions of several variables so we got partial derivatives and I'll start with that today and then functions of functions so where the unknown that you're looking for is not just uh a point but a function a point in function space we could say so continuous variables and then and then constraints is optimization when there are uh constraints on the allowed on the admissible uh choices that that's a big subject and uh it's partly a world of its own optimization it...