It has been a few weeks since you posed this request and I hope you have learned a lot so far.
Just wanted to second the Jeff Jepson suggestion. In fact learn everything in that book and you will have a great start.
Another suggestion,
either request one or download a copy of the Sherrill Tree Catalog, there are a ton of great helpful diagrams and information mixed in with the products or "tools of the trade" that you will probably be using.
Two schools of thought on learning knots.
Some would say learn the ones you use and stick with them and don't bother remembering the others. That has merit and you will be very proficient but it can also lead to complacency because you will soon be tying all these knots without thinking about it. Muscle memory is great until the brain is no longer working along side. Ever put the milk in the cupboard, or the cereal in the fridge?
The other thought is to learn many and once in a while change what you use. Of course with respect to the given application. It keeps you thinking and that is a good thing if your life is at risk.
Example with the fiction hitches. If you only know one or two, what happens if something changes that day, maybe a different rope combination, the friction hitch you used yesterday may not work as well as another today and if you only know one, you will be limited.
Depending on your level now, I will give you a few of my brain aides in remembering the friction hitches. I realize these will not make much sense if you don't know them yet but it helped me.
Blake's Hitch, probably the first you should learn.
The Valdôtain tresse is very unique and easy to visually remember, looks complicated but is not.
The Distel is just like a Schwabish but a little backwards.
The Michoac
àn is just like a Blake's Hitch but only one tuck.
The Knut is like the Distel but rather than wrapping down counter clockwise you wrap up counter clockwise and then tuck the tail in the bottom loop.
This may or may not mean anything to you now, but the point is,
don't limit yourself. Once you start to learn a few, by association, you will learn and remember more. I would say with just the information you can get from a 15.00 book and a catalog, your boss will be very pleased and keep you around. I'm sure he would be pleased that all he has to do is teach you how to
apply the knowledge you have rather than starting from nothing.
I'm no expert, very much a newbie and lack in the application part of this, but just though this might be helpful.
Good luck with the new job, that is always exciting.