Math 2090N Winter 2003 Course Information
Announcements:
Unofficial grades are now available. They are posted by last 5
digits of student number. To view, click here.
The exam list for the exam is available. Click for pdf version.
(Mar 31) Quiz 4 papers will be returned tomorrow in class. Here is
some information to help you assess your relative performance.
Quiz scores:
0.0 0.5 2.0 2.5 3.0 3.5 4.0 4.0 4.0 5.0 6.0
6.0 6.5 7.0 7.5 8.0 8.0 8.0 8.0 8.5 8.5 8.5
8.5 9.0 9.0 9.0 9.0 9.5 9.5 9.5 9.5 9.5 9.5
9.5 10.0 10.0 10.5 10.5 11.0 11.0 11.5 12.0 12.0 12.0
12.0 12.5 13.0 13.5 13.5 14.5 14.5 15.0 15.5 15.5 16.0
16.0 16.0 16.5 17.5 19.0 19.5 20.0 20.0
Descriptive statistics:
N MEAN MEDIAN TRMEAN STDEV SEMEAN
63 10.167 9.500 10.149 4.731 0.596
MIN MAX Q1 Q3
0.000 20.000 8.000 13.500
Graphical representation:
.
:
. ::: : : .
.. ... .: . :.. .::: :::: .:.. : :. ::. . . .:
+---------+---------+---------+---------+---------+-------
0.0 4.0 8.0 12.0 16.0 20.0
(Mar 22) Review for Quiz 4 should include problems 1 - 15 from
the Chapter 14 list. One quiz question will involve Mathematical Induction.
(Mar 17) Quiz 3 papers will be returned tomorrow in class. Here is
some information to help you assess your relative performance.
Quiz 3 grades in ascending order:
0.0 1.0 2.0 2.0 2.0 2.0 3.0 3.0 4.0 4.0 4.0
4.0 4.0 5.0 6.0 6.0 6.0 6.0 6.0 6.0 7.0 7.0
7.0 7.0 7.0 7.5 8.0 8.0 8.0 8.0 8.0 8.0 8.5
8.5 8.5 9.0 9.0 9.0 9.0 9.0 9.0 9.5 10.0 10.5
10.5 11.0 11.0 11.5 11.5 12.0 12.0 12.0 12.5 12.5 12.5
13.0 13.0 13.0 13.0 13.0 13.0 13.5 14.0 14.5 15.0 15.0
15.0 15.0 15.0 17.0 17.5 19.0 19.0
Descriptive statistics for grades:
N MEAN MEDIAN TRMEAN STDEV SEMEAN
73 9.212 9.000 9.154 4.428 0.518
MIN MAX Q1 Q3
0.000 19.000 6.000 12.750
Graphical representation of grades:
. : . : : : .
: : : : :. : . .: :
. . : : : . : :. :: :. .:: :: :: ... : .. :
+---------+---------+---------+---------+---------+-------
0.0 3.5 7.0 10.5 14.0 17.5
(Mar 3) Thursday's quiz will cover the introductory material from
Chaper 14. You should understand
how to do problems 1, 3, 4, 5, 6 from the Chapter 14 list. Note that
there is a simpler solution to problem 1 using 14 RP (Extended).
(Mar 2) A proof of an extension of 14 RP is available in
(postscript) and in (pdf).
(Feb 24) The midterms will be returned tomorrow in class. Here is
some information to help you assess your relative performance.
Midterm grades in ascending order.
10 14 16 17 21 22 23 24 26 27 28 29 30
31 34 35 35 36 37 37 38 40 41 42 43 43
44 44 44 44 49 51 51 52 52 54 55 56 56
57 57 57 58 58 58 59 60 60 60 61 61 62
62 63 63 64 64 65 65 66 66 66 67 67 68
69 70 70 71 71 72 73 74 74 75 75 77 77
77 78 78 79 79 80 80 82 82 83 88 89 90
95
Statistical summary of grades.
N MEAN MEDIAN TRMEAN STDEV SEMEAN
92 56.01 59.50 56.46 19.93 2.08
MIN MAX Q1 Q3
10.00 95.00 41.25 71.00
Graphical representation of grades.
: : .
. : : :: : :. : . .:
. ... .:..:.: .::..:: .: :::::::::.:.::::::. .: .
-----+---------+---------+---------+---------+---------+-
16 32 48 64 80 96
(Feb 12) The Mathematical Induction question on tomorrow's
midterm will be on the same level as the examples done in
Tuesday's lecture.
(Feb 10) I have booked an additional room for the midterm on Thursday.
If your family name starts with A - G go to FAC 312 (directions below)
If your family name starts with H - Z go to the classroom, Curtis C.
YOU MUST GO TO THE INDICATED ROOM.
FAC is the Fine Arts Centre which is across from the Student
Union. Enter at the Burton Auditorium. You will see a lounge
area on the right. Once you enter the lounge area you will be facing the Art Gallery. Take the stairs to the right of the gallery entrance to the 3rd floor. Once on the 3rd floor take the doors to the right. Room 312 is near the end of the hall on your right.
(Feb 5) I will return the quizzes in class tomorrow. Here is some
information which will help you assess your relative
performance.
Quiz 2 grades:
0 0 0 0 0 1 1 2 2 2 3 3 3
3 3 3 4 4 4 5 5 5 5 5 6 6
6 6 7 7 7 7 7 7 7 8 8 8 8
8 8 8 9 9 9 9 9 10 10 10 10 10
10 10 11 11 11 11 11 11 11 11 11 11 12
12 12 13 13 13 13 13 13 14 14 14 14 15
15 15 15 15 15 15 15 16 16 16 17 18 18
19 20 20 20 20
Descriptive statistics for Quiz 2 grades:
N MEAN MEDIAN TRMEAN STDEV SEMEAN
96 9.448 10.000 9.395 5.249 0.536
MIN MAX Q1 Q3
0.000 20.000 5.250 13.000
Graphical representation of grades:
:
. . . : :
. : . : : . : : : :
: . : . : : : : : : : . : : : . :
: : : : : : : : : : : : : : : : : . : . :
+---------+---------+---------+---------+---------+-------C2
0.0 4.0 8.0 12.0 16.0 20.0
(Jan 26) I have been asked to provide some study guidance for
Thursday's quiz. You should be able to use everything on the
Chapter 11 list other than (11.12) and (11.23). You should understand
how to
do problems 1, 2, 3, 4, 5, 10a, 11 from the Chapter 11 exercise list.
(Jan 19) Quiz performance was extremely poor. The grading scheme for
the course has been changed so that the quiz grade is calculated
using the best 3 of the 4 quiz grades. The first
problem required a syntactic proof. Please review the posted
solutions.
Proofs based on |- 5>0 =
true received only part credit.
Quiz grades in ascending order
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0
1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.5 2.0 2.0 2.0
2.0 2.0 2.0 2.0 2.0 2.5 3.0 3.0 3.0 3.0 3.0
3.0 3.0 3.0 4.0 4.0 4.0 4.0 4.0 4.0 4.5 4.5
4.5 4.5 4.5 5.0 5.0 5.0 5.0 5.0 5.0 5.5 6.0
6.0 6.0 6.0 6.0 6.0 6.0 6.5 6.5 7.0 7.0 7.0
7.0 7.0 7.0 7.0 8.0 8.0 8.0 8.0 8.5 9.0 9.0
10.0 10.0 10.0 10.0 10.0 10.0 10.0 10.0 10.0 10.5 11.0
11.0 11.0 11.0 11.0 11.0 12.0 12.0 12.0 12.0 12.0 12.0
12.5 13.0 13.0 13.0 13.5 15.0 18.0 19.0 20.0
Descriptive statistics
N MEAN MEDIAN TRMEAN STDEV SEMEAN
108 6.222 5.750 5.985 4.578 0.440
MIN MAX Q1 Q3
0.000 20.000 2.125 10.000
Graphical representation of grades
: .
: : : : . . :
: : : : :.: : : : : :
: : : : ::: : : : : : : .
: : .:.: ::: .::: :.: :.: :.: . . . . .
+---------+---------+---------+---------+---------+-------C2
0.0 4.0 8.0 12.0 16.0 20.0
You can follow these links to check out the quizzes and tests from
last term's 2090
Quiz 1: September 26, 2002
Quiz 2: October 31, 2002
Midterm Test: October 17, 2002 Solutions in postscript or pdf are available.
Midterm Test: November 21, 2002 Solutions in postscript or pdf are available.
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: TR 10:00 - 11:20 CLH C
Tutors: Joy Abramson (M, T) and Tamar Grains (W, R)
Tutorials:
Monday, 12:30 - 1:30 in N501 Ross
Tuesday, 2:30 - 3:30 in N501 Ross
Wednesday, 10:30 - 11:30 in N501 Ross (tentative location)
Thursday, 1:30-2:30 in N501 Ross
Text: Gries and Schneider, A Logical Approach
to Discrete Math.
Syllabus: The core consists of Chapters 8 (review), 9 (review), 11,
12, 14.
Homework: Homework will be assigned but will not be
collected for grading. Problems will be assigned from
the text as well as from the following problem
lists.
1090 review problems in (postscript)
and (pdf). Solutions are
available in (postscript) and (pdf).
Chapter 11 problems in (postscript)
and (pdf). Solutions to
the are
available in (postscript) and (pdf).
Chapter 12 problems in (postscript)
and (pdf). Solutions to
are now
available in (postscript) and (pdf).
Chapter 14 problems in (postscript)
and (pdf). Solutions are
available in (postscript)
and (pdf).
To view and print pdf you
need the free Acrobat reader.
Evaluation:
| Quizzes | January 16, January 30, March 6, March
25 | 25% (best 3 of 4) |
| Midterm Test | February 13 | 30% |
| Final Exam | Examination Period | 45% |
Note: The quizzes will be approximately 20 minutes in
length, the
midterm 75 minutes in length, and the exam 180
minutes in length.
Note: There will be no makeups for missed tests or quizzes. If
you miss a test and provide a certificate indicating clearly that you
were unable to write the test or quiz for reasons beyond your personal
control, a grade will be assigned based on final
exam performance. Otherwise, the mark for the missed work 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.
Quiz and Midterm Solutions:
Quiz 1: January 16 Solutions for the WHITE
VERSION in postscript and pdf.
Solutions
for the BLUE VERSION in postscript and pdf.
Quiz 2: January 30
Solutions for the WHITE
VERSION in postscript and pdf.
Solutions
for the BLUE VERSION in postscript and pdf.
Midterm: February 13 Solutions in postscript and pdf are available.
Quiz 3: March 6 Solutions for the WHITE
VERSION in postscript and pdf.
Solutions
for the BLUE VERSION in postscript and pdf.
Quiz 4: March 25 Solutions for the WHITE
VERSION in postscript and pdf.
Solutions
for the BLUE VERSION in postscript and pdf.
Resources:
Professor Ganong's notes supplementing
the text's treatment of CONtextual substitution and the
extended Leibniz rules. Click for his CONtextual
substitution supplement and his Leibniz
supplement
(* x, y | R : P ) supplement in (postscript) and
(pdf).
Chapter 11 supplement in (postscript) and
(pdf).
Chapter 11 reference list (which will be used for
tests and the exam) in (html)
, (postscript)
and (pdf).
For some alternative solutions to a Problem
of Dow, see Three Variations on a Theme of Dow in (postscript) or (pdf). A fourth variation, provided in a correspondance by David Gries, is available in (pdf).
Powerset supplement in (html)
, (postscript) and
(pdf).
Chapter 14 supplement in (html)
, (postscript) and
(pdf).
An extension of 14 RP with application to #(S x T) is available in (postscript) and in (pdf).
Chapter 14 reference list (which will be used for
tests and the exam) in (html)
, (postscript)
and (pdf).
The Chapter 11, 12, 14 list for the exam can be viewed
in (postscript) or (pdf).
Elias Brettler