Course 221 - General Topology and Real Analysis

Lecture Notes in the Academic Year 2007-08

Available here are lecture notes for the first semester of course 221, in 2007-08.

See also the list of material that is non-examinable in the annual and supplemental examination, 2008

Assignments in the Academic Year 2007-08

Students are required to complete the following assignments:-

• Assignment 1 [PDF]
• Assignment 2 [PDF]

Lecture Notes in the Academic Year 2006-07

The lecture notes for course 221, as it was taught at Trinity College, Dublin, in the academic year 2006-2007, are available here.

• Section 1: Sets, functions and countability [PDF];
• Section 2: Metric spaces; [PDF];
• Section 3: Complete metric spaces, normed vector spaces, and Banach spaces; [PDF];
• Section 4: Topological spaces; [PDF];
• Section 5: Compact spaces; [PDF].
• Section 6: The extended real number system; [PDF].
• Section 7: Measure spaces; [PDF].
• Section 8: The Lebesgue integral; [PDF].
• Section 9: Signed measures and the Radon-Nikodym Theorem; [PDF].

The author, Dr. David Wilkins, <dwilkins@maths.tcd.ie> would very much appreciate being notified of any errors (typographical or others) that you may find in these notes.

Assignments in the Academic Year 2006-07

Students are required to complete the following assignments:-

• Assignment 1 [PDF]
• Assignment 2 [PDF]

Lecture notes for undergraduate courses