It depends. The ultimate resource would be directly from the IRS itself.
Please see IRS Publication 970 Tax Benefits for Education starting on page 65 for Employer-Provided Education Assistance. It would appear that the only amount eligible for you to claim for an education credit, presuming the books were required and presuming you have already completed the first four years of post-secondary education, would be 20% of eligible costs: (($5,001+633)-($5,250))*20% for the Lifetime Learning Credit (see page 22 of the link above)
Lifetime Learning Credit, page 25, states Related expenses. Student activity fees and expenses
for course-related books, supplies, and equipment are included in qualified education expenses only if the fees
and expenses must be paid to the institution for enrollment or attendance.
[Edited 4/14/2020 | 9:15 AM PST]
@Azad
