I'm assuming a "notable" tear is more than three inches or less. If that's the case, find out who the reputable tarp / awning / hunting tent / portable structure / Bimini top manufacturer and installer in your area is, and take it to them for repair. Please note I said "manufacturer and installer".
If it's anything like my local guys, you will be surprised at how inexpensive they are, plus the repair will be durable and decent in appearance.
It's not worth the effort, in my experience, to bother with a DIY repair of dubious durability, but if you insist, calculate materials at twice what you think it will take, because if your repair is in an area with any tension whatsoever, you will be doing it a second time.