Do they only look at the ones completed before I turn in my college application? Or will they also look at the classes that I am trying to complete and will try to complete that current and following Fall and Spring Semester?
After you turn in your application, you’ll update your application at the end of January to reflect the grades you received in the courses that were in progress when you submitted your application.
They will look at these.
Anything beyond that, no. People will be admitted before spring grades come out so those obviously won’t be looked at … but should you be accepted, you need to pass the classes you’re taking in spring with whatever type of grades they require you to get.
Also, non-transferable courses (i.e. non-college level math) will not be looked at, and will not negatively affect your application. You still need to report all coursework, though.