I used this set of notes for a flipped analysis course. Intended students are advanced undergrad students which have had taken the semi-rigorous honors calculus sequence before, and who have also taken an intro-to-proofs course in mathematics. Content-wise it is a bit different from most course material one can find for students at this level, by virtue of being extremely nets-forward. The concept of nets and their convergences are introduced early and used throughout as an organizing principle to explain many analytic concepts. See the Preface in the PDF for details.
The notes are also available through AMS Open Math Notes.