You probably don't need exact titles and dates in a non-exam scenario.
Look at lots of work (and I mean lots).
The art history tests in my old college were point based so even if you couldn't identify "Ophelia, 1852, Millais" you'd get points for "Chick in a pond, !800s? Looks British, maybe the Pre-Raph mob, 'Rossetti and pals?"
It's this mental catalogue of visual info that lets you guess where work is from, which school it belongs to etc. Train your visual perceptions to be able to look at stuff and say "Ooh, looks a bit like Raphael, probably from..." or "it's a flamboyant Sargent style portrait but not one I know, it's maybe Boldini or Zorn" "It's a typical Pre-Raph subject but more naturalistic and painterly, maybe a Waterhouse..?"
How? The only advice I have is to look at loads of pictures. (Good news, that's fun. You can sit around with a six pack and a stack of library books and learn this stuff ) You need to abandon the idea of memorising individual pieces and pick up the visual and stylistic cues that tell you where and when that's likely from. Look at enough images and eventually a little voice appears whispering "Oooh, looks a bit like a..whatever"
It's a daunting subject (probably nobody on Earth knows all of it..) but start in chunks.
1- Course essentials
2- Your interests
3- Anything and everything.
The main thing is that you need to read a lot and look at a lot of images.