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.