I was in a similar situation. I changed both major and university halfway through my educational career. During the change I had a one year gap where I was "finding myself" and working full time.
If it is the first job that you are applying to after school, I would put in all of that information. Otherwise people generally only care about the university that you graduated from and your most recent experience (last 5-7 years or last 2-4 jobs worked). As you gain more experience and work for a few years you can phase that information out.
As anecdotal evidence of this I had one hiring manager ask whether I had graduated from the first university during the interview. When he learned I had not he drew a big X over the first university on my resume. I stopped including it after that and have had no issues.