I have just gotten into college, and will be studying mathematics from next semester. (this course)
Unfortunately I did not study mathematics for the last 2-3 years of high-school mathematics.
What should I study for the next 50 days in preparation for the course?
On
Buy "TTC", now known as The Great Courses.
Check out Khan Academy.
http://nptel.iitm.ac.in/video.php?subjectId=106106094 - this is a little bit based on programming
https://www.youtube.com/user/coursehack/videos?flow=grid&view=1 - this has discrete math 1 & 2
And yes use schaum's outlines. They are really good.
And buy the solution manual for the text you might use to help you practice.
The "Schaum's Outline Series" volume on "Discrete Mathematics" is pretty good and seems to match the course description you linked to. It was written with this sort of purpose in mind. It has lots of problems, with solutions. It's also cheap.