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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.
- MATH2010.03 (a course which is now not normally offered)
- MATH1010.03 and MATH2310.03
- MATH1010.03 and MATH2015.03
- MATH3110.03

### Instructor:

Tom Salisbury
- email: salt@yorku.ca
- Office: N625 Ross Building
- Phone: (416) 736-5250 (via Math Dept.)

(416) 736-2100 extension 33938 (via York switchboard)
- Fax: (416) 736-5757

### Lectures:

MWF 9:30-10:20 in 215 Bethune College

Atkinson students should note that Faculty of Arts calendar dates
apply to this course.
### 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:

- 20% Each of two Midterm exam (Wednesday February 2 and March 8)
- 15% Assignments (roughly weekly)
- 45% Final exam
- I will mark the midterm and finals. The TA will mark the
assignments. Restrictions on TA hours mean that only a
selection of the problems will be marked.
- No late assignments will normally be accepted, but I will
drop everybody's worst assignment mark.
- Assignments may be handed in in class
or dropped in the course mailbox (one of the brown boxes by the
north elevator of the 5th floor of Ross will soon have our course
number on it).
- All assignment and exam marks should be interpreted
as raw scores and not 'percentages'. Cutoffs will be announced for
converting midterm scores into letter grades. The distribution of
scores will be announced for both midterms.

### 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.