Honors | Honors Course in Analysis II (3 cr)
S414 | 2973 | Hoff, D


THIS IS AN AUTHORIZED CLASS
YOU MUST OBTAIN AUTHORIZATION FROM
THE MATH DEPARTMENT

2973:     9:05A-09:55A MWF   SE 010
S414 : p - permission of mathematics department. Special
section for students of superior ability.
S414 : meets with Math M414 section

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.
Professor Hoff's research interests include applied mathematics, fluid
mechanics, and numerical mathematics. He was recently awarded an IU
distinguished teaching award.