Honors | Honors Course in Analysis II
S414 | 3130 | Hoff

This course covers elementary metric space topology and its
application to the study of functions of a single variable, especially
continuity, differentiability, and Reimann integrability. The emphasis
will be on the construction of a completely systematic and rigorous
theory, rather than on exploring the more computational aspects, as
occur in elementary calculus courses. One of the most important goals
of this course is to get students to discover and write clear, correct
proofs. This is the essence of creative mathematics! Students will get
a great deal of practice formulating and writing their solutions to
theoretical problems, and this writing will be evaluated and graded
carefully. These problems will count for a substantial portion of the
course grade. There will be three noncumulative exams; the purpose of
these is to insure that students review and synthesize the material,
rather than to test their ability to think creatively under pressure.
For this reason, evening exams will be given, and ample time will be
allowed. The most important prerequisites for S413 are a demonstrated
success in third-year mathematics courses, especially S312 and S303,
and a talent for thinking creatively and rigorously in abstract
contexts. Interested students should contact the instructor or the
undergraduate advisor for further information. The professors research
interests include applied mathematics, fluid mechanics, and numerical
mathematics. He was recently awarded an IU distinguished teaching