Fall 2003, Math 63, Course announcement

Real analysis, Math 63, Fall 2003

Meeting time: MWF 10:00 - 11:05, x-hour Th 12:00-12:50, 103 Bradley.
Instructor: Dorin Dumitrascu
Office: 103 Choate house
Office phone: (64)6-2293
e-mail address: dorin.dumitrascu@dartmouth.edu
Office hours: MWF: 3:45 - 4:45 PM, or by appointment.

Prerequisites: Math 22 and 24. Also a good understanding of the ideas and methods of calculus, plus some exposure to abstract arguments and proofs.

Web page address for the class:

Text-book: Real Analysis with Real Applications, Kenneth R. Davidson & Allan P. Donsig, publisher Prentice Hall, 2002, ISBN 0-13-041647-9.
Suggested reading: Principles of Mathematical Anlysis, Walter Rudin, 3rd edition, publisher McGraw-Hill, Inc.

Brief organizational description: The way the class will be conducted may be new for most of you. The lecturing time is cut in half and the remaining time is devoted to `guided discovery' of the material. In other words, in small groups, you will investigate relevant examples, details, proofs etc. The emphasis will be on the student participation and interaction, on discovery and appreciation of the subject, and on rigorous writing/formulation of the arguments.

Grading policy:

40%, homework (assigned daily);
30%, 10% each, three midterm exams (October 8, in-class; October 29, 6-8 PM; November 12, in-class);
20%, comprehensive final exam (December 9, 8:00-11:00 AM);
10% class participation.

Homework: It will be posted on:

x-hour: It will be held every week.

Pieces of advice:
(1) Work hard from the very beginning. Do not let the material accumulate without working through it.

(2) Do not hesitate to ask me questions (during the class and after class). Come to the office hours.

(3) Read the honor principle of Dartmouth College. Working in small groups you will discuss among yourselves the ideas of the course, but the homework and the exams should reflect your own understanding of the subject.

I wish you an enjoyable and fruitful semester!