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York University

AK/AS/SC/MATH 3210.03MW, Winter 2000

PRINCIPLES OF MATHEMATICAL ANALYSIS
Course Outline


Prerequisites:

This course is a proof-based examination of the mathematics behind Calculus. Students may enter the course with any one of the following sets of prerequisites, any of which will ensure both the calculus background and the exposure to proofs required for the course.

Instructor:

Tom Salisbury

Lectures:

MWF 9:30-10:20 in 215 Bethune College
Atkinson students should note that Faculty of Arts calendar dates apply to this course.

Course Webpage

Office hours:

MF 2:30-3:30
If you need to see me outside these hours, you are welcome to drop by my office. If I am able to talk to you then, I will; if not we can arrange another time. Or you can e-mail to arrange an appointment.

Text:

Introduction to Real Analysis by Bartle and Sherbert; 2nd edition, Wiley 1992.

The first edition covers pretty much the same material, but the problems differ. The text will be on reserve in Steacie Library. The same text is used in MATH3110, and between them the two courses cover pretty well the whole book.

Problem session:

Starts the week of January 10
The problem session is scheduled for Fridays, 12:30-1:20, in N501 Ross.

TAs:

Zhang Zhaohui

Grading:

Course description:

The course has two goals. One is to study certain ideas which are important in advanced calculus, and which are basic to much of modern mathematics - ideas like Cauchy sequences, compactness, uniform continuity, uniform convergence of functions, etc. The second goal is to practise the reading and writing of mathematical proofs, and careful logical argument.