[MUSIC] >> Welcome to the last section of the last chapter of the last part of the two part course on approximation algorithms. So, let's do a recap. Imagine you want to do research on approximation algorithms. What kind of mathematical training should you have? Based on the topics touched in this course, two areas come to mind. Clearly, it is very helpful to know polyhedral optimization and to know probability theory. So, these are areas where advanced courses can only help become better researchers. More specifically, what techniques have been used to develop the approximation algorithm seen in this course? We've seen primal-dual techniques for approximation algorithms, semi-definite programming, rounding by random projections, and finally, iterated rounding. All this in part two of the course on approximation algorithms. What are these good for? In general, they're good for all combinatorial optimization problems, particularly on networks, and also for scheduling and packing problems. These are the type of problems that we have seen in this course. More specifically, in part two of the course on approximation algorithms, we have studied Steiner forest, facility location, maximum cut, and degree-bounded spanning tree problems. So, that's a recap of the problems, of the techniques specific to this part two of this course, or specific to approximation algorithms in general. What people have been involved in this MOOC on approximation algorithms? Besides myself, there were Vincent Cohen-Addad, Frederik Mallmann-Trenn, and Victor Verdugo, the teaching assistants. As well as Jovanny Parvedy and Nordine Meziane. If you are watching this video, then it means that you have watched the entire set of all the chapters of both parts of the course on approximation algorithms. Congratulations! You have now become an expert in the design and analysis of approximation algorithms. And as a reward, you now get to meet the entire team of people who helped put this course together. Today, fortunately, Frederick is here. Frederick, would you like to say the final word? >> Yes. Thank you. I hope you enjoyed the course a lot. We certainly enjoyed it. We learned a lot. And it was a pleasure to have this course, to organize it and all these things. Don't hesitate to give us feedback on how to improve the course for future times. And thank you, again. >> And let us not forget the technical staff. The people who filmed all the videos, who edited them, who mounted them, who put them together and got them ready, prepared them so that we could upload them on the Coursera website. I'm talking about Jovany Parveti and Noddin Lizzian. Thanks to them. [FOREIGN] >> [FOREIGN]