Including a resume in your first email is a matter of personal preference. The professor you are contacting may not have time to read it, so definitely do not rely on it as the only source of the important information described above in Question [C2]. Attaching it to the e-mail as an attachment and inviting your professor to read in the e-mail can’t hurt though. That being said, You should have a resume prepared and you should bring it to the interview. Having a paper copy of your resume is always a good practice when going to an interview.