Here is the definition of a full-time student in IRS Publication 970:
Full-time student. You are a full-time student for 2018 if during any part of any 5 calendar months during the year you were enrolled as a full-time student at an eligible educational institution (defined earlier), or took a full-time, on-farm training course given by such an institution or by a state, county, or local government agency.
If you paid tuition or received a scholarship from the college, you should get a Form 1098-T. On that Form 1098-T the Box 8 (at least a half-time student) will be checked if the college considered you a full-time student.
You can claim your education expenses. Take note that per IRS Publication 970 you are only required to be "enrolled". There is no actual physical attendance requirement, and there is no requirement for you to actually pass a course.
Understand that you are required to be enrolled as a full time student for any one semester that started during the tax year. The IRS does not define "full time student". Per IRS Publication 970, "The standard for what is half of the normal full-time workload is determined by each eligible educational institution." Therefore each school determines what they consider to be a full time student.