Math 103 -- Topics in Analysis

Text: W. Rudin: Real & Complex Analysis.
Meets TTh 2:00-4:00
Choate House Seminar Room

While the content of Math 103 will depend on the interests and backgrounds of those enrolling, I hope to give a course which will help students prepare for the analysis certification examination. At present, I'm planning to start with abstract measure theory loosely following chapters 1, 2, 6, and 8 of the text. We will finish with a sophisticated review of the theory of functions of a single complex variable loosely following chapters 10, 11, 12, and 14 in the text.

Familiarity with the Lesbegue integral on the real line would be very helpful, but is not required for Math 103 (although it is an essential part of the certification syllabus). However, prospective students should have had undergraduate courses in both abstract analysis (e.g., Math 63), and in complex analysis (e.g., Math 43). The pace will be fast with the students expected to fill in considerable detail on their own. The goal is to help prepare graduate students to take (and to pass) the certification exam at or near the end of the winter term.

Dana P. Williams
201 Choate House