Syllabus/achievement requirements

The primary literature for this course is the book "A Course in Real Analysis" by John N. McDonald and Neil A. Weiss, Second edition, Academic Press, ISBN 978-0-12-387774-1. Hereafter and in the timeplan I will use the abbreviation [MW] to refer to this book.

As supplementary reading material I recommend the new book "Topics in Real and Functional Analysis" by Gerald Teschl. You can get a copy of the book at the author's webpage.  Hereafter and in the timeplan I will use the abbreviation [T] to refer to this book.

We will cover material in the following sections, though not necessarily in this order, from [MW]: section 6.2, sections 7.1 to 7.3, sections 9.1 to 9.4, section 12.1, sections 13.4 to 13.6, sections 14.1 to 14.3, sections 15.3 and 15.5.

Updated 23 November 2017: from [MW] we covered section 6.2, parts of sections 7.1 and 7.3 (as made precise in the lecture plan), sections 9.1 to 9.3, section 12.1, sections 13.4 to 13.6, sections 14.1 and 14.2. All this is relevant for the exam. We also covered section 15.1 (up to Proposition 15.2), section 15.3 (Theorem 15.8 only in the case of the space of smooth functions vanishing at infinity, and Theorem 15.9(a), see handwritten lecture notes), and finally sections 6.3 and 6.4 (up to Theorem 6.7, see lecture notes), but this part will not be required for the exam.