MTB > dotplot c1 . . : . . . . . . :. -------+---------+---------+---------+---------+---------C1 14.0 17.5 21.0 24.5 28.0 31.5 MTB > describe c1 N MEAN MEDIAN TRMEAN STDEV SEMEAN C1 13 21.74 23.50 21.82 7.13 1.98 MIN MAX Q1 Q3 C1 13.00 29.60 14.00 29.50

- Proof of a result involving absolute values.
- Proof of a result on least upper bounds whose proof will involve the Archimedian property.
- Proof that the limit of a sequence has a particular value. It is
an exercise on
**3.2.3**. - Four sequences are given. You are asked to determine whether or not each converges and if it does converge for the value of its limit.

Page 34: 3, 5, 6b, 8d, 13bd, 15 .

**Lecturer:** Eli Brettler

**Office:** South 508 Ross

**Telephone:** 736-5250 Extension 66321

**E-mail:**
brettler@mathstat.yorku.ca

**WWW:** http://www.math.yorku.ca/Who/Faculty/Brettler/

**Normal Office hours:** MW 12:00 noon - 1:00 p.m. and by appointment

**Lectures:** MWF 10:30 - 11:20 a.m. in WC 118

**Tutorials:** W 12:30 - 1:20 p.m. in N 501 Ross.

**Text:** Bartle and Sherbert, **Introduction to
Real Analysis** (Third Edition).

**Syllabus:** The course will cover material from
Chapters 1, 2, 3, 4, 5 of the text.

**Homework:**

These homework problems will be collected for grading. Groupwork is permitted and (in most cases) encouraged.EXCEPT WHERE OTHERWISE INDICATED, group assignments may be handed in. Assignments are submitted by placing them in theAssignment Boxto be found next to the elevators,North Ross 5th Floor. My normal practice is to collect the papers then post solutions. Late assignments are not accepted.

- Assignment 1 due Sept. 21 at Noon: Available in (html)
, (postscript) and
(pdf).

Solutions will be available in (postscript) and (pdf)once the papers have been collected. - Assignment 2 Oct. 10 at Noon: Available in (html)
, (postscript) and
(pdf).

Solutions will be available in (postscript) and (pdf) once the papers have been collected. - Assignment 3 due Nov. 2 at Noon: Available in (html)
, (postscript) and
(pdf).

Solutions will be available in (postscript) and (pdf) once the papers have been collected. - Assignment 4 now due Nov. 16 at Noon: Available in (html)
, (postscript) and
(pdf).

Solutions will be available in (postscript) and (pdf) once the papers have been collected. - Assignment 5 at Noon: Available in (html)
, (postscript) and
(pdf).

Solutions will be available in (postscript) and (pdf) once the papers have been collected.

Graded Assignments | various dates (see above) | 15% |

Class Tests | October 19, November 23 | 30% |

Final Exam | Examination Period | 55% |

**Alternate Grading Scheme:** Assignments 15%, Class Tests
55%, Final Exam 30%.

The scheme which gives the higher grade will be
used in each case.

**Note:** There will be no makeups for missed tests. If
you miss a test and provide a certificate indicating clearly that you
were unable to write the test for reasons beyond your personal
control, the weight of the test will be transferred to the final
exam. Otherwise, the mark for the missed test will be 0.

The last date to drop the course without academic penalty is November 9. It is extremely important to realistically assess your course performance prior to this date.

**Tests**

**Resources:**

Eli Brettler Last modified: Sun Dec 30 13:24:43 EST 2001