Mom guilt

Does anyone else have terrible mom guilt when you go to work? I had my daughter in June so I had 2.5 months with her every day. I went back to school when she was 11 weeks. I would've taken the time off but I'm in grad school and the program that I'm in, we don't have any say in our schedule. It's only a small group of people accepted each year so they give our schedule. I'm at school Monday-Friday and it's getting harder and harder to leave her. Thankfully my mom watches her so at least she's with family. But I'm so worried that I'm going to miss all of her milestones, like rolling over, crawling, first steps. I miss her so much. I don't want her to think that I abandoned her. I just feel SO guilty. I'm doing this for her so that I can have a good career and give her a great life. But I just can't help but feel terrible. On the weekends my husband and I spend a lot of time with her, but I miss being with her all day everyday :( can anyone else relate?