Winter 2004, Math 73, Course announcement

Multi-variable analysis, Math 73, Winter 2004

Meeting time: MWF 12:30 - 1:35, x-hour Tu 1:00-1:50
Meeting place: 103 Bradley
Instructor: Dorin Dumitrascu
Office: 103 Choate house
Office phone: (64)6-2293
e-mail address:
Office hours: Tu: 3:30 - 4:30 PM, Th: 11-noon, or by appointment.

Prerequisites: Math 63.

Web page address for the class:

Text-book: James R. Munkres, Analysis on manifolds, publisher Westview Press, 1991, ISBN 0-201-31596-3.
Suggested reading: Michael Spivak, Calculus on manifolds.

Brief organizational description: 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 weekly, due Monday);
10% class participation;
20% midterm exam (TBA, beginning of February);
30% comprehensive final exam (TBA).

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!