I taught Analysis I (Math 3150) in Fall 2016 at UConn. Interestingly, I never took analysis as an undergraduate (I jumped straight into measure theory instead since it sounded more interesting). So I learned quite a lot teaching this course! We used the textbook “Understanding Analysis” by Stephen Abbot. I highly recommend this book. I would also highly recommend complementing this with “How to Think About Analysis” by Lara Alcock. In addition, I wrote supplementary notes to complement the course textbook. Click here for these notes. Warning: They should go through some editing process.