I was reading FIPS197 for a class (found here: http://csrc.nist.gov/publications/fips/fips197/fips-197.pdf ) trying to find some sort of specific relation between CBC and AES. I guess my problem is that I don't really know what to look for. I take it that CBC is a component of AES?
CBC is just one of the modes of operation that can be applied to a general block cipher, i.e. it is not tied specifically to AES. For die diverse modes of operation for block encryption see: http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation