Turn OFF mail notifications in iOS 7.1

I would like to receive calendar & reminder notifications, but no other ones. I have turned off notifications as best I could for each of my email accounts, but still get a notification every time I get email. Started with iOS 7.1 update.

The only notifications I have turned on, as far as I can tell is calendar and reminders. These I would like to keep. What do I have to do to turn off notifications for every single email I get? I think all these notifications are killing my battery life.

Suggestions?

Thanks.

Dave