The curriculum will consist of some parts of the following book:
G. K. Pedersen, Analysis Now, 1989. Springer. ISBN: 978-0-387-96788-2. Corrected 2nd printing. Link to Springer's homepage for this book.
In addition, some lecture notes will be made available in the teaching schedule, as well as solutions to the exercise sets given during the semester.
The final curriculum is available here.