Depth of Field is the term. Depth of Focus probably meant to refer to hyperfocal distance, so forget about that for now. The link given by russellsnr is an excellent explanation of DOF.
Try This at home: Find something among your household goods like a colorful bottle of shampoo, or a can of soup.
Set it on a long table. About 2' behind it, prop up a book with a large printed title on it. Put your camera on a tripod or set it up on some books so it will be stable as you shoot. Set your lens to a focal setting of 60mm or 70mm. Then get the object you have chosen in clear focus (the camera will be about 5' in front of it).
Now without moving anything take a series of photos at different apertures. Start at f/22, then f/16, f/11, f/8, f/5.6, and f/4.
Get the images onto your computer screen. Take note of the book title. At f/22 you should be able to read it very clearly.
A lot is in focus so the Depth of field is DEEP. At f/4 the shampoo or soup can should be in focus, but not the book title. Not much is in focus so you have a SHALLOW depth of field.
Try this, too, to get an idea about lenses. Look at the shampoo bottle through a toilet paper tube. Notice how much is included around the edges of the circle. Now from the same distance, look at the same object through a longer tube like a paper towel tube. Notice how much less is seen around the edges that what was there when you looked through the shorter tube. So, as you zoom in on a subject with your camera the same will happen to the edges. Move in even closer and you will see more of a change. (I like taking close-up photos of flowers standing only a few feet away, but using a zoom lens.)
Do not worry about circle of confusion. It changes with every camera. Learn about hyperfocal distance next and you will find that calculators can factor in the circle of confusion. You will learn that DOF is not just important in close-up photography, but in landscapes where the distant subjects are at infinity. You will learn to focus at the hyperfocal distance to get subjects both close and far distant in focus.
I would recommend for you, since you are interested in details, the latest edition of Complete Digital Photography by Ben Long.