Skimmed through the pages and it starts with a brief introduction to Yakumo sensei and the temple, how his master was involved with the 9th lab in the development of magic and how the temple is another facility to research, with a facade of a big temple and state of the art construction inside.
How Kazama introduced Tatsuya to him and then we see Tatsuya training.
There is a kind of POV from Minami and how the girls work to get ready in the mornings. Later we see Tatsuya making Minami serves tea to him and Miyuki (because if someone remembers, Miyuki had the task of serving him).
There is a meeting with Fumiya and Ayako to talk about the new mission of hunting Zhou down, and Miyuki knows here that Maya has asked him that. She didn't know before.
Then a bit of talk about the traditionalists and the Kudou, and as how it could end in another battle as the last year in Yokohama.
Tatsuya is ready for the battle, and don't really know why Maya asked him a favor instead of order him to do it, but if that time comes he entrust Miyuki to Minami. She says that it's fine, he can leave Miyuki to her.
There is another fact; Tatsuya is not going to participate with a thesis this year because the research started pretty late, and has not been completed. He is using what he saw with Lina and the basics of FAE. How the multiprocess in magic works and how the change in reality acts as well as the effect when an spell is suddenly stopped and the lag between the casting and the reality alteration.
That's the gist of it, I really don't want to read it completely until I get my own copy, but it seems we are going to see a lot of Yakumo and Minami in this arc (2 volumes given the title).