Course 221  General Topology and Real Analysis
Lecture Notes in the Academic Year 200708
Available here are lecture notes for the first semester of course 221, in 200708.
See also the list of material that is nonexaminable in the annual and supplemental examination, 2008
Assignments in the Academic Year 200708
Students are required to complete the following assignments:
 Assignment 1 [PDF]
 Assignment 2 [PDF]
Lecture Notes in the Academic Year 200607
The lecture notes for course 221,
as it was taught at Trinity College, Dublin, in the
academic year 20062007, 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 RadonNikodym 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 200607
Students are required to complete the following assignments:
 Assignment 1 [PDF]
 Assignment 2 [PDF]
Lecture notes for undergraduate courses
Dr. David R. Wilkins
School of Mathematics,
Trinity College,
Dublin 2, Ireland
dwilkins@maths.tcd.ie