\( \def\bbN{{\mathbb N}} \def\bbQ{{\mathbb Q}} \def\bbR{{\mathbb R}} \def\bbZ{{\mathbb Z}} \def\calA{{\mathcal A}} \def\calD{{\mathcal D}} \def\calT{{\mathcal T}} \) © | Dror Bar-Natan: Classes: 2022-23: Fast Computations in Knot Theory:

Homework Assignment 3

Reflect on and consolidate what you have learned in this class. "Reflect" means that you should spend some time thinking about the class and what you have learned in it. Such time need not be organized: it doesn't have to be a time when you are seated in front of a desk; it may well be the time you are spending on the train or waiting for the train. "Consolidate" means that if while reflecting you realize that there is something that you wish you understood but you understand it only half way, then you should go back and make an effort to understand the other half.

Both "reflection" and "consolidation" need not be at the level of the whole course; that may be too much. Yet there must be something: you may pick something, anything, that you cared about during class and spend some time reflecting and consolidating just it.

Submit s short report on what you have done. A couple of paragraphs, or maybe a couple of pages, describing something new that you have learned, and what you have done to make sure that something of that knowledge will remain with you a year from now. It is better if your report is typewritten, yet handwritten is also acceptable.

Myself, I do these things quite a lot. Often I attend a lecture or a series of lectures about some big topic and at the end not much remains in my memory from the big topic itself, yet some memory of some subtopic stays with me and later may play a role in my mathematical life. My knowledge now is not the sum of the thousands of lectures that I have attended, but the sum of those shorter moments within some of these lectures that I have reflected upon and consolidated.

Due date. This assignment is due on Monday July 10 at 11:59pm. Submission is on Google Classroom.