Math 403: Classical Analysis I
Spring 2002
Instructor: Ben Davis
Email: bdavis@math.psu.edu
Web: http://www.math.psu.edu/bdavis/
Office: McAllister 322
Office Phone: 863-2036
Office Hours: M,W 9-10, Tu 10-11, or by appointment.
Text: W. Rudin, Principles of Mathematical Analysis, 3rd ed,
McGraw-Hill, c1976. This book is on reserve in the mathematics library on the ground floor of the McAllister Building.
Homework: There will be a weekly homework assignment due in class on Wednesdays.
Exams: There will be a midterm and a final exam.
Grades: Your grade is based on homework and exams. Homework is worth 70%, the midterm is worth 15%, and the final is worth 15%.
Missing or Late Work: Late homework may be accepted due to unavoidable circumstances, and only at my discretion. Missing homework will receive a score of zero. The lowest homework score will be dropped from the calculation of your course grade. Missing the midterm will result in a weight of 30% being given to the final for the purposes of computing the course grade. Missing the final will be dealt with at my discretion. No make-up exams will be given.
Academic Integrity: All Penn State Policies regarding ethics and honorable behavior apply to this course.
Real analysis is the study of convergence properties of sequences and continuous functions on metric spaces. The subject grew from efforts to provide a rigorous foundation for calculus. In this course, we will learn how to demonstrate properties of functions using approximation techniques. I will try to deliver clear lectures and be enthusiastic and approachable. For your part, do your best to stay on top of things, and don't hesitate to come visit me in office hours. In my experience, students can learn more in office hours than in any other part of the course.
Homework and Announcements
Here is a review for the final exam.
Due Wednesday 23 April Assignment 12.
This assignment is optional extra credit.
Due Wednesday 23 April Assignment 11.
Final on Wednesday 7 May
in 103 McAllister from 6:50pm - 8:45pm.
This will be a closed book, closed notes test, with a concentration on the material we have covered since the midterm.
Due Wednesday 16 April Assignment 10.
Due Wednesday 9 April Assignment 9.
Due Wednesday 2 April Assignment 8.
Due Wednesday 26 March Assignment 7.
Midterm solution .
Due Wednesday 5 March Assignment 6.
Midterm on Thursday 6 March
in 109 Osmond from 6:30pm - 8:25pm.
This will be a closed book, closed notes test covering the material through that of the homework due on Wednesday 5 March.
Special office hour to be held Friday 21 Feb from 10-11 am.
Due Wednesday 19 Feb Assignment 5.
Due Wednesday 12 Feb Assignment 4.
The class of Friday 7 Feb is cancelled.
Due Wednesday 5 Feb Assignment 3.
Due Wednesday 29 Jan Assignment 2.
Due Wednesday 22 Jan Assignment 1.
The class of Friday 17 Jan is cancelled.