Quiz scores: 2.0 6.0 6.0 7.5 8.0 8.0 9.0 9.5 10.0 11.0 11.0 11.0 11.0 11.5 13.0 13.0 14.0 14.0 15.0 15.0 15.5 15.5 20.0 20.0 Descriptive statistics: N MEAN MEDIAN TRMEAN STDEV SEMEAN 24 11.521 11.000 11.568 4.287 0.875 MIN MAX Q1 Q3 2.000 20.000 8.250 14.750 Graphical representation: : . : . : .. . : . : : :: : -------+---------+---------+---------+---------+--------- 3.5 7.0 10.5 14.0 17.5 21.0

Grades in order: 4.0 5.0 5.0 5.0 5.5 6.0 6.5 7.0 7.5 7.5 8.0 9.0 10.0 11.0 11.0 11.5 11.5 14.5 14.5 15.0 15.5 18.0 18.0 18.5 Descriptive statistics for grades: N MEAN MEDIAN TRMEAN STDEV SEMEAN 24 10.208 9.500 10.114 4.604 0.940 MIN MAX Q1 Q3 4.000 18.500 6.125 14.500 Graphical representation of grades: . . :. . .. : . . . :: : . . : . -+---------+---------+---------+---------+---------+----- 3.0 6.0 9.0 12.0 15.0 18.0

Grades in ascending order. 11 28 29 34 34 38 39 44 44 46 49 49 49 51 54 54 61 63 67 69 73 78 80 84 84 85 85 98 99 Descriptive statistics for grades. N MEAN MEDIAN TRMEAN STDEV SEMEAN 29 57.90 54.00 58.11 22.49 4.18 MIN MAX Q1 Q3 11.00 99.00 41.50 79.00 Graphical representation of grades. . . .. : : : . :. : .. .. . .. :: .. ---+---------+---------+---------+---------+---------+--- 16 32 48 64 80 96

Quiz scores in ascending order: 2.5 2.5 2.5 3.0 3.0 3.5 4.0 4.5 4.5 7.0 8.0 8.5 9.0 9.5 10.0 11.0 12.0 12.5 12.5 13.0 13.0 13.5 13.5 14.0 14.5 15.0 16.5 17.0 17.5 19.0 20.0 20.0 Descriptive statistics: N MEAN MEDIAN TRMEAN STDEV SEMEAN 32 10.516 11.500 10.411 5.574 0.985 MIN MAX Q1 Q3 2.500 20.000 4.500 14.375 Graphical representation of scores: . : :.. : . .. .. . . . :: :.. . . .. . : -----+---------+---------+---------+---------+---------+ 3.5 7.0 10.5 14.0 17.5 21.0

**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:** M W noon - 1:00 p.m. and by appointment.

**Lectures:** MWF 10:30 - 11:20 a.m. in Petrie Science 317

**Tutorials:** Wednesday, 9:30 - 10:30 in N501 Ross
(tentative location)

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

**Syllabus:** The course will begin with a review of
Chapters 3 and then cover material from
Chapters 4 - 9.

**Homework:**

Homework problems will be assigned but will not be collected for grading.

Quizzes | January 17, January 31, March 7, March 26 | 25% |

Midterm Test | February 14 | 30% |

Final Exam | Examination Period | 45% |

**Note:** There will be no makeups for missed quizzes or tests. If
you miss a quiz or 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 March 7. It is extremely important to realistically assess your course performance prior to this date.

Solutions in postscript and pdf will be made available.

Solutions in postscript and pdf will be made available.

Solutions in postscript and pdf are available.

Solutions in postscript and pdf are available.

Solutions in postscript and pdf are available.

This note outlines the genesis of a proof that the sum of a positive number and its reciprocal is always at least 2.

Click for (postscript) or (pdf) versions.

- Homework solutions in pdf
- Test solutions in pdf

Eli Brettler