The whole nerd-who-kicks-ass-so-he-can-go-back-to-studying setup could have worked pretty well in a gag manga. Honestly, when I first read the description I thought this was going to be a gag manga. It's not, though. So what is it? I'm still trying to figure that out...
Most shounen action manga can be divided into two types: 1) Outright fantasy stuff that either takes place in another world entirely or has the main character travel to/be exposed to some other world and 2) Real-world fighting stuff that at least pretends to be vaguely based on actual martial arts. It's true that the latter can still get pretty unrealistic but it tends to at least be bound by certain common-sense rules about how our universe works.
At first glace SWOT seems to be the latter type, but as you read more it abandons any and all connection to reality. The students who are fighting each other (something being encouraged by the school for some super-secret and likely stupid reason that will probably be hinted at but never actually told for hundreds of chapters) all seem to have completely supernatural abilities that are never explained and nobody seems to think that it's weird. Furthermore these abilities are not the result of any kind of ancient secret martial arts training but rather are simply manifestations of their "resolve" (yes, that's what they call it). Rather than using these superhuman abilities for something interesting all of the students seem content only using them to beat each other up at school.
It's funny that the main character himself changes just as rapidly and randomly. While at first he makes a big deal about not wanting to fight he seems to abandon that principle rather quickly and becomes something of a fighting maniac. I think we're still supposed to think he's a nerd because he wears glasses or something, though.
The whole thing reads like a bad doujinshi with no sense of direction. Frankly, I am amazed this was serialized in Jump. Jump can rightfully be criticized for being too conservative and slow to adapt but I thought they at least had standards. This series doesn't seem to know what it wants to be or where it's going.
At least the art is decent.