Grab yourself a self inflating sleeping mat instead of the foamy ones. You wont feel a thing under you while you sleep and they are super easy to use and roll up to the same size(some smaller) as a foam mat. They last long too, I've had mine for about ten years and use it several times a year. Also find they are more comfortable then the inflating beds and actually stay inflated the whole trip.
As for sleeping bags, I did some research when I was preparing for a winter camping trip and came across the U.S. military modular sleep system. Lets just say my friends had top of the line down sleeping bags rated for -30 and they almost got hypothermia the first night and had to go to the Algonquin store to get more layers for their sleeping bags. In the summer I just bring the thin layer and the gortex layer and its perfect. In the fall the thicker layer and gortex is good so you don't have to bring the full system with you and save space and weight that way.
I suggest getting a three man tent as a two man one will only fit your sleeping bag and your gear making it challenging to do much else much else.
As for knifes, you can't go wrong with a CKRT, Buck or Gerber. I like having a fixed blade for camping, cause it's just faster and easier to clean while camping.
If you are looking for a little hatchet, Buck has an awesome one.
I didn't see anything about flashlights but I end up using my headlamp over any other flashlight I bring cause it lets you have both your hands free for cooking or what ever. I have a Petzl headlamp that has three settings and have had no issues with it.
For a pot I use a MSR one, the lid is a strainer and it comes with bowls and cups that store right into it so it packs small.
For a stove I use something like this:
http://europebound.com/store/product/250028/MSR-Superfly-Stove/ . Packs away and fits in the palm of your hand and the canisters are small and light.
A tarp is always good cause you never know if its going to rain the whole time and you can use it for over your cooking eating area if you put it high enough.
Don't forget a roll of duct tape, it fixes everything
What course are you taking that you need all this stuff. Sounds cool.