MOTION: ?
"That Senate approve, and recommend approval to the
Board of Governors, the following new courses as set
forth in S..75-183:
MATH 243-3 - Discrete Mathematics
MATH 408-3 - Discrete Optimization
MATH 450-8 - Job Practicum in Computational Mathematics."
r
Action taken by the Senate Committee on Undergraduate Studies
at its meeting of November 4, 1975 gives rise to the following motion:
MOTION
That Senate approve the following new courses: MATH 243-3 -
Discrete Mathematics; MATH 408-3 - Discrete Optimization; MATH 450-8 - Job
Practicum in Computational Mathematics.
Note: ?
Following discussion of the objectives specified for a
computational mathematics option, attention in SCUS turned
to MATH 450-8 - Job Practicum. Members expressed particular
concern that Job Practicums could affect students' eligibility
for financial aid, could provide unfair competition for Union
members, and could result in exploitation of students.
• ?
Experience with students in job practica related to the
Computing Science Program has indicated that arrangements
could be made which included reasonable payment. On the other
hand, insistence on payment might well limit placement oppor-
tunities. Department representatives indicated that the first
priority in selecting placements would be the learning needs
of the student, that the proposal anticipated students spending
three days per week on the job practicum while carrying the
balance of a normal course load and that participants would almost
certainly enhance their prospects for part-time jobs and/or
career placement. It was noted that four faculty members had
indicated interest in involvement and that approximately twelve
students were also interested. Furthermore, the proposal is
supported by Manpower representatives on campus. Department
representatives estimated that there would not likely be more
than four or five placements per semester. There was consensus
in SCUS that arrangements for the job practicum should not pre-
clude payment for services.
SCUS was subsequently informed that staffing requirements had
been inadvertently deleted from course proposal forms and that
additional staff would be required in the near future if a
Computational Mathematics Option is approved. It was noted
that approval of the three new courses on their academic merits
by SCUS and Senate implies no commitment to subsequent additional
staffing.
Daniel R. Birch
SIMON FRASER UNIVERSITY
?
MEMORANDUM
From. ?
S.
Aronoff
S.
Dean of Science
October 29, 1975
Date...................................................................................................................
The Faculty of Science, at its meeting of October 28, 1975, approved
the attached proposal for a Computational Mathematics Option, including
proposals for three new courses in Mathematics; 243, 408 and 450.
The supporting documentation is forwarded herewith for consideration
by SCUS.
e 1
.-
?
End.
.
1
SiMON FRASER UNIVERSITY
MEMORANDUM
To....
.... ....
.....
.Dr. D. Ryeburn, Chairman
Faculty of Science
..................Under.grad.ate, .cu.ri.c.u,um....CQmmit.te.e....
SubjeciT
......
MATHEMATIC S.
24
.
3,. .408 and, 450.............
PROPOSED COURSES: COMPUTATIONAL
From ?
Dr. .N. R. Reilly,, .chairma................
M at hemati
c s
Deptment
?
.
Date........
September., 22.,. 19.75
?
....
We propose to offer three new courses, Mathematics 243-3 (Discrete
Mathematics), Mathematics 408-3 (Discrete Optimization), and Mathematics 450-8
(Job Practicuxn). These courses are to be a part of a computational
Mathematics option, details of which are to be forthcoming in a few days.
[1
NR/sh
.-
2
Appendix B3
SENATE COMMITTEE ON UNDERGRADUATE STUDIES
COURSE PROPOSAL FORM
0— Calendar Information
?
Department:MATHEMATICS
Abbreviation Code: MATH Course Number:243-3 Credit Hours:3
?
Vector:3-1-0?
Title of Course: DISCRETE MATHEMATICS
Calendar Description of Course: Trees, graphs, enumeration, error-correcting codes,
paths and cycle in graphs, SDR's (Systems of Distinct Representatives), coloring?
?
algorithms, crit;ical paths.
?
Applications, discussion ocomputer representation
and aLQorithm efficiency.?
Nature ot Course Lecture/tutorial
Prerequisites (or special instructions): Any 100 level mathematics or computing
science course (except Math 100 or Math 190).
What course (courses), if any, is being dropped from the calendar if this course is
approved:
None
2. Scheduling
How frequently will the course be offered? Twice yearly
Semester in which the course will first be offered?
?
Fall 1976
Which of your present faculty would be available to make the proposed offering
possible: Dr. Alspach, Dr. Brown, Dr. Berggren
W
Objectives of the Course ?
To introduce basic discZ'e structures, at a level for
students in many' disciplines. To introduce discrete modelling, applications
and computational aspects.
4.
Budgetary and Space Requirements (for information only)
What additional resources will be required in the following areas:
Faculty
Staff
Library
Audio Visual
?
NONE
Space
Equipment
5.
Approval
Date:
?
Department Chairman '
?
DeazV
?
Chairman, SCUS
Ct1S 71-34h:- (When completing this form, for instructions see Memorandum SCUS 73-34a.
Attach course
outline)
3
DISCRETE MATHEMATICS
•
?
Math 243-3
Objectives
1.
To teach how to formulate and analyze discrete models.
2.
To introduce some combinatorial techniques.
3.
To illustrate the use of cornbinatorics in discrete optimization.
4.
To present applications to other fields, such as computing
science, economics, probability, scheduling, etc. Some
algebraic structures and their applications (cf. V)
Syllabus
I.
Sets, relations, trees, graphs (and their computer representation).
Some algebraic structures and their applications (cf. V) ?
2 weeks
II.
The questions of existence and enumeration. Combinations, permutations,
partitions. The Inclusion - Exclusion principle. Recursion and
generating functions. Latin squares, finite geometries, error-
correcting codes. ?
3-1/2 weeks
III.
The Königsberg bridge problem. Eulerian trails and Hamiltonian
cycles.
algorithms,
The
scheduling
Marriage problem
and the
and
four-color
Hall's theorem.
problem.
Coloring
Assignment
?
2 weeks
• ?
problems, and efficiency of computer algorithms.
IV.
Networks and the transportation problem. Critical paths.
Multiprocessing systems. Examples from linear programming
?
4-1/2 weeks
and game theory. Computational aspects of the preceding.
V.
Additional Optional Material
Sernigroups, groups, fields, Boolean algebras and their relation
to finite state machines, formal languages, coding theory, and
switching theory.
Polya counting theory.
Game theory and decision making.
Linear programming.
Random walks.
Textbooks
R. R. Korfhage: Discrete Computational Structures, (AP)
F. P. Preparata & R.
T.
Yèh: Introduction to Discrete Structures, (AW)
G. Berman & K. Fryer: Introduction to Combinatorics (AP)
0-
4
Appendix B3
SENATE COMMITTEE ON UNDERGRADUATE STUDIES
COURSE PROPOSAL FORM
• Calendar Information
?
Department: MATHEMATICS
Abbreviation Code: MATH Course Number:408-3 Credit Hours:3
?
Vector:3-1-0
Title of Course: DISCRETE OPTIMIZATION
Calendar Description of Course: Modeling techniques, integer programming, network
flows, dynamic programming, and combinatorial max-min relations. Computational
aspect of the preceding.
Nature of Course
?
Lecture/Tutorial
Prerequisites (or special instructions): Math 308-3
What course (courses), if any, is being dropped from the calendar if this course is
approved:
None
2. Scheduling
How frequently will the course be offered? Yearly
Semester in which the course will first be offered? Spring 1977
Which of your present faculty would be available to make the proposed offering
possible: ?
Dr. Alspach, Dr. Brown
W
.
Objectives of the Course
?
To study
?
some modeling techniques for practical
problems in operations research and engineering. To
study
?
standard
discrete methods of optimization.
4.
Budgetary and Space Requirements (for information only)
What additional resources will be required in the following areas:
Faculty
Staff None
Library None
Audio Visual None
Space ?
None
Equipment ?
None
5.
Approval
Date:
2Z
Department Chairman
?
Dean/
?
Chairman, SCUS
CUS
73-34b:- (When completing this form, for
instructions see
Memorandum SCUS 73-34a.
Attach course outline). ?
5
DISCRETE OPTIMIZATION
. ?
Math 408-3
Objectives
1.
To introduce some modeling techniques for practical problems
in operations research and engineering.
2.
Tq introduce standard discrete methods of optimization.
Syllabus
I.
Decisior makin
g
and problem formulation, models and their analysis,
and computer representation, introductory examples.
?
(1
week)
II.
Review of linear programming, simplex method, duality.
?
(1 week)
III.
Integer programming, totally unimodular matrices, the transportation
problem, the traveling salesman problem, the Knapsack problem, branch
and bound methods, enumeration, and cutting plane methods.
?
(5 weeks)
IV.
Flows ir networks, max flow-min cut theorem, minimum cost flows,
shortest path algorithms, scheduling, and PERT. Algorithm
?
(3-1/2 weeks)
40--
efficiency.
V.
Combinatorial max-min relations, lattice point polyhedra, optimum
matchings, Dynamic programming, and inventory scheduling.
?
(2-1/2 weeks)
Textbook
Garfinkel & Nenthauser: Integer Programming (JW)
.-
6
Appendix B3
SENATE COMMITTEE ON UNDERGRADUATE STUDIES?
COURSE PROPOSAL FORM
Calendar Information
?
Department:
?
MATHEMATICS
Abbreviation Code:
?
Course Number: 450 ?
Credit Hours:8*
?
Vector:Not applicable
Title of Course:
?
JCB PRACTICUT4
Calendar Description of Course: Participation in work/study program with business,
industry, or government and in a weekly seminar. Open for students in the
computational mtheinatics option; application must be made in advance.
Nature of Course Practical experience/seminar
Prerequisites (or sp(cial instructions) 4hppreval
e eemputatie
'
nal m&themat4.es -
pten eefntnitte. Stunts ne!1ne11y
wi11 be i the.i flfLh
UL
-semester of
stu
cl
y-
.
What course (courses) , if any, is being dropped from the calendar if this course is
approved:
?
None
2. scheduling
How frequently will he course be offered? Available every semester
Semester in which th course will first be offered?
?
Spring 1977
Which of your present:: faculty would be available to make the proposed offering
possible: Dr. Alspaç;h, Dr. Eaves, Dr. Harrop, Dr. Russell
Objectives of the Course
?
To allow students to gain practical experience
related to their training. (See attached sheet)
4. Budgetary and Space ;equirements (for information only)
What additional resorces will be required in the following areas:
Faculty
Staff ?
)
Library ?
NONE
Audio visual
Space
Equipment
• 5. Approval
Date:
?
Z
Dcp,:irtmcnt Chairman /
?
Dear/f
?
Chairman, SCUS
(it 71-iih:- (When completing this form, for instructions see Memorandum SCUS 73-34a.
At t •tch ?
out 1 iue) .
Does not count towards the 30 or 50 credits hours of upper division
mathematics requirements.
fi
• ?
4
Or
The prerequisites for MATH
450-8
have been made more explicit and yet
will retain flexibility. They should now read:
Prerequisite: Approval of the department. Ordinarily
students will be required to have completed
at least four of the following courses:
MATH
243-3, 302-3, 305-
4
, 308-3, 316-3,
and
CMPT 201-4.
Students who have obtained credit
for two or more of CMPT
411-5,
412-5,
or
413-5
cannot subsequently obtain credit for MATH
450-8.
(Mathematics majors and honors students may not use
this course to satisfy the required number of semester
hours of upper division mathematics courses. However,
they may include the course to satisfy the total
number of required hours of upper division credit.)
Norman B. Reilly
S. .
.
LI
COMPUTATIONAL MATHEMATICS OPTION
.__.
??
We wish to include a Computational Mathematics Option within the
Mathematics Department. In addition to providing a fourth option for a
mathematics major (present options are pure, applied and statistics), the
option has some unique characteristics. Major aspects of it are described
below. The attached diagram presents a global view of the option's major
courses.
I. Objectives
1. The primary objective is to produce students who are mathematically
well versed in computational methods,, optimization, and statistics,
and who are also capable of solving practical problems in fields such
as social, behavioural and biological sciences, governxnent, business
and industry. This will be achieved in to ways.
(a)
In addition to the regular mathematics course requirements and
certain core courses within the option, the student will emphasize
two of three of the five possible modules - economics and commerce,
statistics, optimization, computational mathematics and computing
science. (See diagram). With the appropriate emphasis, a student
can easily acquire a minor in economics and commerce or computing
science.
(b)
The student will gain practical experience by spending at least
a semester with an industry, business, etc. This will occur well
.
?
before the student's last semester. Motivation, responsibility,
and practical insight gained through a work semester will be of
great value for the student's development and would in turn generate
enthusiasm and interest among othek students. Initial response
from several employers has been quite favourable.
2. A number of scattered 'courses will be unified into a viable option.
Identifying and putting structure to these areas will aid students
with these interests.
II. Advantages
1.
While there is growing need for students with this type of training, to
our knowledge no program of this kind exists in Western Canada. Similar
programs have been quite successful at Waterloo and Stanford. The
option's areas involve relevant and increasingly important topics.
2.
This option will present an opportunity for better cooperation with
economics and commerce and computing science, which would benefit
all concerned.
10—
9
-2-
III. Effects on Department
[1
1. The department can mount the option with only two new courses, a 200-
division Discrete Mathematics course and a 400-division Discrete
Optimization course plus Job Practicum. It would be desirable to
introduce a Game Theory course in the near future. At a lower priority,
as need arises it would be desirable to introduce the courses Applied
Algebra, Numerical Solution of Differential Equations, Information Theory
and Coding, and Switching Theory II. This option will produce people
with a sound background in some useful areas of mathematics and with
the versatility to step into a wide variety of positions. We expect
this option to generate new students in the department, to attract
students from other disciplines, and to have little, if any, detrimental
effect on current upper division offerings.
Immediate New Courses:
MATH 243-3 Discrete Mathematics (twice yearly)
MATH 408-3 Discrete Optimization (Yearly)
MATH 450-8 Job Practicuxn
?
( ? )
Future Courses:
0-
Priority 1: MATH 3---
MATH 4--
Priority 2: MATH 4--'
?
Priority 3: MATH 2--
?
MATH 4--'
Numerical Solution of Differential Equations
Game Theory
Information Theory and Coding
Applied Algebra
Switching Theory II
New Faculty Required: One
DESCRIPTION OF MATH 450-8 JOB PRACTICUM
Credit Hours - 8 (Not part of the 120 or 132 for honors - credit hours
for graduation)
Prerequisite - 5 or 6 semesters in the program and approval of the
Computational Mathematics committee (see below).
Obligations - The student spends 24 hours a week with a local business/
industry/government and attends a weekly seminar; the
course grade is based upon the seminar and a written
report. There is no additional commitment of the "employer"
or student but it is encouraged and expected that the
student will frequently continue to work for the employer.
Duties of Computational Mathematics Committee:
.,
1)
Select the best qualified students;
2)
Match students to jobs such that the students' areas
of interest meet the employers' special needs;
3)
Continuing supervision and evaluation of the students'
work.
Drs. B. Alspach/R. Russell
Mathematics Denartment
0U
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54
:11
SIMON FRASER UNIVERSITY
MEMORANDUM
.,-
To .................. D. Ryeburn, Chairman
Undergraduate Curriculum Committee
Faculty ••fScience
Subject ........
.
MATH
• 1450-8
(Jobi'acticum) ...................
......
Computational Mathematics Option
From
?
N.
Reilly, Chalrma•.
Mathematics Department
Date
.....Qctpber8,•197.
?
...................................... ........
The department wishes to change the credit arrangements for the
proposed MATH
1
450-8
course. Originally, the proposal was that the course
receive eight semester hours of credit, but that these eight hours not be
counted as part of the 120 or 132 hours for a major or honors degree. Now
we are persuaded that the eight hours should count as part of the 120 or
132, and as part of the
145
or 60 hours of upper division credit, but not
as part of the required 30 or 50 hours of upper division credit in Mathematics
courses. The rationale for this decision is given below.
First, the three practicum courses offered by the Computing Science
Department count for credit and are designated as
1400
division courses.
However, no more than two hours of such credit is available as part of
the
50
hours for the honors degree, and none of the credit is available
as part of the 30 hours for a major. It would be a disservice to our
students not to give them similar credit towards their degrees. Not
.
?
giving such credit would be a disadvantage for the practicum.
Second, the practicum involves a weekly seminar and a paper at the
end of the term, in addition to the practical experience the student gets.
Hence, for the department to count this course for credit is reasonable
and fair.
Third, we wish to discourage the practice of students being paid by
the company, business, etc. for the practicum. The principal reason for
this is that there are groups interested in accepting students from the
pr.acticum who would find it essentially impossible if pay were required
on their part. By offering credit for the practicum, the students are
being "paid" by making progress toward their degrees.
Fourth, the course should count as upper division elective credit
since extensive 200 and 300 course level preparation is required (see
below). However, it should not count towards the mathematics upper
division credit requirements because 19 upper division credits are
already required for the Computational Mathematics Option and there
are many other available upper division courses for students in this
option.
Fifth, there are political reasons for offering credit for this course.
At the meeting of the Faculty of Science Undergraduate Curriculum Committee
in which this was first discussed, there was general support and encourage-
ment for this course. But several committee members also asked why students
shouldn't receive more for this course, and in fact the opinion was expressed
that for a student to aid a company with no remuneration was perhaps unethical.
We feel that offering credit towards the degree is a reasonable answer.
12
-2-
The prerequisites for MATH 1450-8 have been made more explicit and yet
will retain flexibility. They should now read:
Prerequisite: Approval of the department. Ordinarily
students will be required to have completed
at least four of the following courses:
MATH 2143-3, 302-3,
305-
14 ,
308-3, 316-3, and
CMPT201-
1
4.
Students who have obtained credit
for two or more of CMPT 1411-5,
1
412-5, or 1413-5
cannot subsequently obtain credit for MATH 1450-8.
(Mathematics majors and honors students may not use
this course to satisfy the required number of semester
hours of upper division mathematics courses. However,
they may include the course to satisfy the total
number of required hours of upper division credit.)
Norman R. Reilly
[1
.-
13
ALR k J ? i 1 ?
I•
?
\
DEPAF1t.'LNT
o ?
'!A -I'.
Dr. Robert D. Russel,
Department of Mathematics,
Simon Fraser University,
Burnaby, B.C.
May 12, 1975.
Dear Bob,
I read through the proposal for a "Computational Mathematics
Programme" and I
find it very interesting.
Within Geography itself, I do not
see
a
great demand for
this programme
at the moment since the department is highly orientated towards non-
quantitative Geography with a few exceptions. However, for the proposed
Survey Sciences programme I could see an interesting combination, especially
for the statistical and numerical portions.
I could see a special interest for the course on "Information Theory
and Coding" which could become quite an interesting programme for theoretical
and quantitative Geographers.
I am looking forward to more information on this programme and wish
you success. Kind regards.
Sincerely yours,
T.K. Peucker
Associate
Professor of Geography?
& Computer Science.
14
U
SiMON FRASER UNIVERSITY
MEMORANDUM ?
To
......................................................................
From
?
('
.............................
.............
Subject- ?
*
.
.
7
?
Date
42
?
t4 ?
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15
•_7_.
City
of Vancouver
LI
City Engineering Department:
City Hall, 453 West 12 Avenue, Vancouver, British Columbia, Canada V5Y 1V4, (604) 873-7011
W.H. Curtis, P. Eng.
?
R.C. Boyes, P. Eng.
P.S.
Herring,
P. Eng.
S.D. Townsend, P. Eng.
City Engineer
?
Deputy City Engineer
Assistant City Engineer
Assistant City Engineer
K F Dobell P. Eng.
Water. Sanitation & Materials
Streets
Assistant City Engineer
H.D. Nicholson,P. Eng.
R.G. Gascoyne, P. Eng.
Departmental Services
Assistant City Engineer
Assistant City Engineer
& Sewers
Electrical
Traffic
Please refer
K. F. Dobeli. ?
File No. H5511
September
30, 1975.
Professor Brian Aispach,
Department of Mathematics,
Simon Fraser University,
Burnaby, B.C.
V5A 1S6
Dear Professot Aispach:
Ken Dobell has discussed with me yourproposed program
for Applied Mathematics students, involving work on real problems
with agencies outside the University. I understand you are pro-
posing that students in their third or fourth years, with reason-
able background in Computer Sciences, Statistics and Mathematics,
work, at no cost to the City, on a project of interest to us, for
a three month period, under the joint supervision of City staff
and University faculty. I believe such a program has real merit,
and would be prepared, within the Engineering Department, to take
up to 3 students a year, one at a time.
I look forward to hearing from you about your progress
in developing this course.
Yours
truly,
W. H.
14. Curtis,
City Engineer.
KFD/j mr
.-.
16
COLUMBIAI
• ••]
?
COLUMBIA COMPUTING SERVICES LTD.
.-'
TELEPHONE
?
1132 HAMILTON STREET
(604)611-8501
?
VANCOUVC. D.C. Vie Iii
October 15, 1975
Dr. Brian Aispach
Associate Professor
Department of Mathematics
Simon Fraser University
Burnaby 2, B.C.
Dear Brian:
We are writing to confirm our interest in the student
practicum program which the Simon Fraser Mathematics
Department is planning. As you may perhaps be aware,
this company has frequently employed Simon Fraser students
on a part-time basis, and we would be pleased to continue
this practice under a more formal arrangement sponsored by
your department.
It is probably realistic to assume we could employ one student
on a more or less continuous basis - that
is,
one in each
semester. This will, of course, be influenced by the type
of program you are planning and by the availability of
projects which are suitable for student participation.
Thank you for letting us know about this project. We
will be interested to hear how your plans develop.
Yours truly,
COLUMBIA COMPUTING SERVICES LTD.
/
)ames leNobel
,'President
J1: cm
.-
17
0--
Management Consultants
210 - 1155 West Georgia Street, Vancouver V6E 31-14. B.C.
Tel. 681-3623
CctcIer 1, 1975
Professor Brian Aispach
Department of Mathematics
Simon Fraser University
Burnaby, B.C.
Dear Professor Alspach,
I am writing with regard to your proposed work/study program for under-
graduate students in mathematics at Simon Fraser University. Our firm
is very favourably impressed with your plan, and when the program beoais
operational we would certainly be interested in supporting one of your
students if it is at all possible. We cannot be sure, of course, that
at that time we will be involved in a project in which we could effectively
make use of a student and which would be of benefit to him/her. This is
a question which cannot be answered ahead of time since in the consulting
business it is difficult to predict what projects one will be engaged in
more than six months in the future. I can say two things, however. First
of all, we are trying to expand our activity in the areas of statistics,
ccmputing, and operations research. If we are successful, we will be
able to make use of a student. Secondly, I am personally quite positive
about your proposed program, and I hope that when the timecoms, you will
give ire a call. Even if we can't use a student at that particular time,
I'm sure I will be able to suggest several firms that can.
I am glad to see that Simon Fraser University is initiating this
program. There is no question that it will be extremely beneficial to
your students. At the sane time, I am certain that the program will make a
very favourable impression on the business community and the public at
large. I look forward to hearing fran you in the future.
Yours truly,
Douglas Williams, Ph.D.
Managing Director
Rtq/d1w
0-
THE TANTON! MITCHELL GROUP
P.,sonneI resources and
management consuHsng
S'c4f
7J
.
Dr. D.R. Birch, Chairman
Senate Committee on Iindergrdduate Studies
SCUS Course Proposal Forms for
Mathematics 243-3 and 408-3
David Ryeburn, Chairman
Faculty of Science
Undorgraduate Curriculum Committee
November 6, 1975
You will recall that after the meeting of November 4, 1975 I
observed that the Budgetary and Space Requirements - Faculty
spaces on these forms had been left blank, while at the time of
the Faculty of Science meeting at which the courses had been
approved, the requirements had been noted as 1/2 appointee for
243-3 and 1/3 appointee for 408-3. There was considerable dis-
cussion of the matter at the Faculty of Science meeting, and
some disagreement as to what exactly emerged as the final posi-
tion, but the Mathematics Department is prepared to go along
with the following entry for each of the courses:
.,-
It is hoped that it will be possible to offer this
course for one year by a temporary re-allocation of
resources and by reducing the frequency of certain
offerings. However, such a sacrifice could not be
maintained and additional faculty would be
required
in subsequent years in order to mount these courses.
If we. can manage to offer the courses for one year by such re-
adjustments and the courses then prove to be as valuable and
popular as we are sure they will be, the case for allowing such
new appointments to be made will be strengthened.
DRJpel
cc S. Aronoff
N. Reilly
H. Evans
.,-
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