SiMON FRASER UNIVERSITY
.
?
MEMORANDUM
To
?
Mr. H. Evans, Secretary
of Senate
Course Proposals - Mathematics
Subiect ........................................ . ..........
......... ..
........ ...
..................
B. L. Funt
From.—
.........................................................................................
Dean of Science
m
Noveber 19, 1970
Date...........................................................................
Our File F-8-4
The attached new course proposals from the Department
of Mathematics were passed by Faculty at its meeting
on November 19, 1970.
I enclose them for submission to the December
meeting of Senate.
:la
?
—B. L. Funt
S
.
SiMON FRASER UNIVERSITY
MEMORANDUM
To ........... D.r ...... B. ..... L,.....Funt ...... Chairman ........
................. ... .... ... .......
Undergraduate Studies Committee
Faculty...of
?
Science..........................................................
Subject-NEW ... APPLIED., MATHEMAT.I.0 S .. COURSE-PROPOSAL
From....
Dr. D. L. . Sharma
Mathematics Department
Date.
.November..9,.
1970
?
...............
.
I wish to point out that the attached proposals for new courses
in applied mathematics do not constitute an increase in course offerings.
The existing upper level applied mathematics courses, Mathematics 467 and
468 are offered in alternate semesters. The Department intends to offer
these new courses, together with the existing courses, on a rotating basis
at the rate of one per semester.
.
0
S
NEW COURSE PROPOSALS -- MATHEMATICS
Mathematics 469-4 (Fluid Dynamics), 470-4 (Variational
Calculus) and 471-4 (Special Relativity) have been considered
by the Undergraduate Curriculum Committee and are recommended
to Faculty for approval. These courses represent additional
selections to round out the choice of program available for
the student in applied mathematics.
In addition, two directed study courses, 493-4 and
494-4, have been considered and approved. And two special
topics courses, 495-4 and 496-4, entitled Selected Topics in
Mathematics, have similarly received consideration and approval.
The contents and composition of the last four courses will vary
depending upon the interest of the student and the sequential
offerings in the Department of Mathematics.
S
la
?
B. L. Funt
Passed by the Faculty of Science
s
November 19 3
1970
.
ç
•
• ?
FACULTY OF SC[LNCE
NE'? COURSE PROPOSAL
I
CALEThAR I NIOflI . \T
I O
Department:
?
Mathematics ?
•
?
Course Numbcr:469-4Title: Fluid
Sub-title or
Description:
?
. ?
Dynamics
Kinematics, ?
sources ?
and ?
sinks ?
vorticity.
?
Navier--Stokes
equations
?
of ?
motion. ?
Viscous ?
flows, ?
dynamical ?
similarity,
Reynolds ?
number. ?
Boundary ?
layer ?
theory.
Credit Hours: 4
?
Vector Description:
?
4--l-0
Pre--rqusi tc(s) :
?
Mathematics ?
261-3. ?
Mathematics
?
411-4 or Physics ?
382-4
should ?
precede ?
or ?
be ?
taken ?
concurrently.
II
ENROUNT AN1) SCIIERUL1 NC
EstiJtat(:d ?
L!uolT:ent: ?
10
- ?
-•
Semester Offered
?
( c.
i . ?
Yearly, ?
ever
y
Spring; ?
twice yearly, ?
Ia] 1
?
and
Sprinc)
Once ?
every
?
twoyears ? -
Whoil ?
course ?
:i.J ifirst be offered:
•
Spring ?
197.3
•
?
1
•
iI
JUSTI F1 CAT ION ?
.
A.
?
1,hat
is
the Oct-ailed description of the coUrse inc)udiu
?
differentiation
from I
ower ]
evc:l courses • ?
from similar courses
?
in the same department
•
and ?
fror:
?
courses ?
in other departments ?
in ?
the lJnivcrs it)'?
The ?
course
?
will ?
include ?
the ?
topics-listed
?
in
?
calendar ?
information
(abov) .
?
None ?
of
?
these
?
topics ?
are ?
taught: ?
in ?
any
?
other
?
course ?
in
•
this ?
department ?
or ?
in ?
other
?
departments
?
in ?
the
?
University.
•
. ?
111aI. ?
is ?
the range of topics ?
that may be dealt with
?
in the ?
course?-
•
.: ?
•-
?
••
/T7 O/T
• ?
C. how does this course fit the goals of the department?
With the addition of this course, the students in Applied
Mathematics will have more-choice in the selection of upper
level courses.
D.
How does this course effect degree requirements?
No effect on degree requirements
E.
What are the calendar changes necessary to reflect the addition of
this course?
New entry
F.
What course, if any, is being clroped from the calendar if this
course is approved?
None
G.
What is the nature of student demand for this course?
Some students in Applied Mathematics have expressed the
desire to be exposed to more fields where Mathematics is
applied to solve problems relating to natural science.
H.
Other reasons for introducing the course.
IV ?
BUDGETARY AND
-
SPACE FACTORS
A. Which faculty will be available to teach this course?
Dr. R. Lardner, Dr. D.L. Sharma, Dr. E.M. Shoemaker
Page
C
B.
What are the special
SCC
and/or equipment requirements for this
course?
None
C.
Any Other budgetary implications of mounting this course:
Nil
APPROVAL -
?
Faculty Undergraduate Curriculum Committee:
?
\Z
\O
Faculty:
4) C)
. ?
Senate:
0
..
I
II
IU
1I
1
•
?
PAFRS
FACIJLTY OF SCfliNCE
-
?
NF C0USE PROPOS..\L
CALENDAR 1N!:0R.\TION
Departnicnt: Mathematics
?
Course
Numher:470_4
Title:
Variational
Sub-title or
Description: -
?
Calculus
Pr6cedures of Euler, Lagrange: and Hamilton.
?
Extremum problems,
stationary values of integrals.
?
Canonical equations of motion,
phase space, Lagrangiaii and Poisson brackets.
Credit Hours: 4
?
Vector Description: 4-1-0
Pre- rc'qu is Itt(s):
Mathematics 261-3 or Physics 203-2. Mathematics 411-4 or Physics 382-4
must precede or be taken concurrently.
1O!.EN'i ANU SC IFDULI NC
Estimated Enrolment: ?
10
Sc;tcstcr Offered (e.g. Year)
y,
every S1rin.; twice year] y, Fe 1 and
• ? . ?
•
?
Sprinc):
Once every two years
1.hen course .'i.l I first be
offered:
Spring .1972 ? .
JUSTI }:)CAL10\
A.
lThat is the detailed description of the course including differentiation
from lower
level
courses, from sii13r courses in the same department
and
from courses
in other departments in the University?
This course w111 include the topics listed in calendar information
(above).
B. 1
1
hat is the range of topics that may be dealt \:ith in
- the course?
.•. ?
.•
? .
rage
L
C. how does this course fit the goals of the department?
With the addition of this course, the students in Applied
Mathematics will have more choice in the selection of
upper level courses.
D '
. [low does this course effect degree requirements?
No effect on degree requirements.
E. What arc the calendar changes necessary to reflect the addition of
this course?
New entry
. ?
F. What course,. if any, is being dropped from the calendar if this
course is approved?
None
C. What is the nature of student demand for this course?
Some students in Applied Mathematics have expressed the
desire to be exposed to more fields where Mathematics is
applied to solve problems relating to natural science.
H. Other reasons for introducing the course.
IV ?
BUDGETARY AND SPACE FACTORS
A. Which faculty will be available to teach this course?
Dr. G.A.C. Graham, Dr. D. Shadman, Dr. M. Singh
.
vage .
I. ?
INIT
OA
T
. ?
B. What are the special space and/or equipment requirements for this
course?
None
C. Any Other budgetary implications of mounting this course:
None
APPROVAL - ?
Faculty
Undergraduate Curriculum Committee:
V70
q-7o
Senate:
S
..
. 0
ir
FACULTY OF SCIENCE
NEW COURSE PROPOSAL
CALENDAR INFORL\TlON
Department: Mathematics
?
Course Number:471-4 Title: Special
-
?
Relativity
Sub-title or Dcscript]on: ?
.
Space-time continuum, separation between events, Lorentz
transformation. Mechanics of discrete system and of continuum,
Electromagnetic field in vacuo.
Credit Hours: 4
?
Vector Description: (4-1-0)
Pro-requisite(s): Mathematics 261-3 or Physics 203-2. ?
Mathematics
411-4must precede or be taken concurrently.
or Physics 382-4
ENROLNT AND SCHEDULING
Estimated Euro lni'nt : 10
Semester Offered (e.g. Yearly, ever
y
Spring; twice yearly, Fa] 1 and
Sprinc)
Once every two years
when course will first be offered:
Fall 1972
JUSTIFICATION
A.
What is the detailed description of the course including differentiation
from lower level courses, from similar courses in the same department
and from courses in other departments in the University?
The course will include the topics listed in calendar
information (above)
B.
What is the range of topics that
may
be dealt with in the course?'
Special Theory' of Relativity
0
C.
How does this course fit the
goals
of the department?
With the addition of this course., the students in Applied
Mathematics will have morechoice in the selection of
upper level courses.
D.
how does this course effect degree requirements?
No effect on degree requirements.
E.
What are the calendar changes necessary to reflect the addition of
this course?
New entry.
F.
What course,, if any, is being dropped from the calendar if this
course is approved?
None ?
-S
G.
What is the nature of student demand for this course?
Some students in Applied Mathematics have expressed the
desire to be exposed tomore fields where Mathematics is
applied to solve problems relating to natural science.
H.
Other reasons for introducing the course.
IV ?
BUDGETARY AND SPACE FACTORS
A. Which faculty will be available to teach this course?
4
?
Dr. A. Das, Dr. E. Pechlaner
I ?
: ?
S\LF PAP
. ?
B. What are the Special space and/or equipment rcquire;cnts for this
course? ?
S.
None
C. Any. Othcr budgetary implications of mounting this course:
None
AP1ROVA1. -
?
Faculty Undergraduate Curriculum Committee:
?
' •' ?
\
Faculty: ?
\c1
I C
-1
70
Senate: ?
*
0 ?
.
. ?
FACULTY
I 01 SC 11 ( I
NEW COURSE P0P0S\L
I ?
CAL!
OA 1NI011V1JON
?
.
?
.
?
.
• ?
Department:
?
MATHEMATICS ?
Course Number: ?
Title:
Sub- tit] e or Description:
?
4934
?
DIRECTED STUDY
Independent reading or research in topics. selected in consultation with
the supervising instructor.
Credit Hours:
?
4
?
Vector Description:
?
None
Pro-requisite(s)
This course can only be taken with the permission of the Department.
11
?
.
?
II0LIFNT AND SCll1I)U1INC
Estimated Enrolment: Eiroliment may vary from one to five students per semester.
Semester
Offered (e.g. Yearly, every Spring.; twice yearly, Tall and
The tourse will he offe
1
1 Il
there are interested students and faculty
available and willing to supervise.
':1icn course will first 1)0 offered
When requested.
III ?
JUSTJF] CAI ION
A.
What
is
the detailed description of the course including differentiation
from lower level courses, from
similar
courses in the same department
and from courses in other departments
in
the University?
This course will enable junior and senior mathematics students to work with
• ?
faculty members in areas not covered by the regular mathematics course
offerings, at a level more advanced than is possible in the first two
?
-
years. No similar courses are offered by other departments in the University.
B.
What is the range of topics that may he dealt with in the course.?
The range of topics hay inc].ude• material from pure mathematics, applied
• ?
mathematics or probability and statistics.
.•?
0 •
.
.
.
I \'
• ?
... ?
..
SENATE PR
How
dOeS
this course fit the
goals of
the department?
This course, together with the other directed study courses, the
honors essay course and the selected topics course, create
a
flexibility
in course offerings which might: not otherwise be possible.
D.
flow does this course effect degree requirements?
This course
has
no effect on degree requirements.
?
1
E.
What are the calendar chngcs necessary to reflect the addition of
this course?
The only calendar change necessary is the addition of the course to
the listing of mathematics course offerings
F.
What course, i f
any, is
being dropped from the calendar if this
course is approved?
None
C. What is the nature of student demand Tor this cOurse?
The Department
has,
received many requests from interested junior and
senior mathematics students for additional directed study courses.
11. Other reasons for introducing the course.
In view of thefact that it is not possible for a student to take a
course with a specific number more than once for credit additional directed
study course numbers are required.
.
BUDGIARY AND SPACE FACTOf,S
A. Which fcu1ty will.be
Avai
lab) e to teach this course?
Any of the faculty rwr:bers in the Mathematics Department,
The course will not be counted as part of any faculty
member's teaching load.
?
.
Page
3
Ai
?
A
S ?
-
B ?
What are the special space and/or equipment requirements for this
course? ? *
None
C. Any Other budgetary imp]. ications of mounting this course:
None
APPfOVA1. -
?
Faculty Urici
CT-
gracluatc Curriculum Committee
?
yu
?
c\7o
3
.
?
Senate:
.
0
SCNAT PA.5
FACULTY
Qj:
SCIENCE.
NEW COUIS N P POPOSAI
CAl,NN!):\P ) NFO!\T] ON
I)cpartmcnt: ?
NATTIEMATICS ?
Course Number:
?
Title:
Sub -til ic or Description: ?
4944 ?
DIRECTED STUDY
Independent: reading or research in topics. selected in consultation with
the supervising instructor.
Credit hours :
?
4
?
Vector Description: ?
None
Pro--requisite(s):
This course can only be taken with the permission of the Department.?
?
II
?
EN!OLIL.N] AND SCIINDUITNC
hstiniatcd
Enrolment:
Eiroilment may vary from one to five students per semester.
Semester Offered (c. g. Yearly, every Spring; twice yearly, Fal). and
The course will be Off ?
there are interested students and faculty
available and. willing to supervise.
hcn course %-:i)] first he offered:
When requested.
• ?
111 ?
3IJS'II
1:1
CATION
'
*A. 1\hat is the detailed description of the course including differentiation
from lower level courses, from si.nilr courses in the saute department
and from
courses
in other departments in the University?
This course will enable junior and senior mathematics students to work with
faculty members in areas not covered by the regular mathematics course
offerings, at a level more advanced than is possible in the first two
years. No similar Courses are offered: by other departments in thQ University.
B
. 1
1
hat is the range of topics that may be dealt with in
the
course?
The range of topics my include material from pure mathematics, applied
mathematics or probability and statistics.
•
0
t.j
?
rr
C. )!o': does this courc fit the goals
of'
the department?'
This course, toget:her with the other directed study courses, the
honors essay courseand the selected topics course, create a flexibility
in course offerings which might not otherwise be possible.
I). How does this course effect degree requirements?
This course has no effect on" degree requirements.
E.
What are the calendar chnges necessary to reflect the addition of
this course?
The only calendar change necessary is the, addition of the course to
the listing of mathematics course offerings.
F.
What course, i
f
any, is being dropped from the calendar if this
.
?
None course is approved?
G.
What is the nature of student demand for this course?
The Department has, received many requests from interested junior and
senior mathematics students for additional, directed study courses.
IV
0
H. 'Other reasons for introducing the course.
In view of the fact that it is not possible for a student to take a
course with a specific number more than once for credit additional directed
stud y
course numbers are required.
EU1)CFTARY AND SPACE FAC'I'Ok
A. Which faculty will. be
available to teach this course?
Any of
the
faculty members in the Mathematics Department.
The course will not be counted as part ofany faculty member's
teaching load.
• S ?
• ?
Iagc 3
YE'
B.
What arc the special space and/or equipment rcqui.rc;cnts for this
W
?
COUrSe?
None
C.
Any Other huclgci:ary impi i cations of mounting this course:
None ?
S
APPROVAL - Faculty Und erradun te
curriculum
Conuni t tee: ?
070
Faculty: ?
\c1 ?
c
rro
?
S
Senate:
?
••
?
S
55 S
-
?
IE
FACULTY OF SC.1FNCF.
NEV COURSE MOFOSAL
CALEN!)\R I. NFOL?
. U\T ION
Department: MATHEMATICS
?
Course Number:
?
Title:
Sub-title
01
DCSCriI)tiOn: ?
SELECTED TOPICS IN
The topics included in this course will vary from
?
MATHEMATICS
semester to semestei depending on thculty availability
?
-.
and student interest.
Crcdi.t Hours:
Four
?
Vector Dcscript ion: (4-1-0)
• ?
Pro- rcquisi. tc
(s)
• ?
This course can only be taken with the permission of the Department.
?
ii
?
FNhOLMFNT AND SC! I.t)UliNG
Estimated Enrolment:
5
to 10 students.
Semester Offered (e.g. Yearly, every Spring; twice yearly, Fall and
S1r
Yearly. ?
. ?
i.ng):
v:heii course ii] I first be offered:
Fall 1971 or. Spring 1972
?
III ?
JUSTIFICATiON
A. Vhat is the detailed description of the course including differentiation
from ipwer level courses, from similar courses in the same department
and from courses in other departments in the University?
This course will be like a standard upper level mathematics course
and the prerequisites will be set according to the subject matter
covered. The course will be open only to junior and senior mathematics
students, and will not include material from existing courses in
the Mathematics Department or any other depatment in the University.
•
?
. what is the range of topics that may he dealt with in the course?
The range of topics will include material from pure mathematics,
applied mathenthtics, or probability and statistics.
0
.11 ?
.
I', ?
S
?
PAPERS
.C. flow does this course fit the goals of the department?
.
?
In view of the fact that the Department does not bave enough
faculty to set-up a program which would include courses other
than the basic 6 ore program couscs, these selected topics courses
will allow the Department to offer those courses which do not
fit into the basic program but which are a necessary part of
the basic knowledge of a mathematics student.
D. flow does this course effect degree requirements?
This course has no effect on degree requirements.
E.
What are the calendar changes necessary to reflect the addition of
this course?
New entry.
F.
What course, if any, is being dropped from the calendar if this
course is approved?
None
G.
What is the nature of student demand for this course?
The Department has received several requests for courses not
included in present course offerings.
H.
Other reasons for introducing the course.
The Department is requesting approval for two selected topics
course numbers as it is not possible for a student to receive credit
for a course with a specific number more than once.
IV ?
BUDGETARY AND SPACE FACTORS
A. Which faculty will he available to teach this course?
Any-of the Faculty Members in the Department.
.
Page 3
SENAIE PAS
B.
What are the special space and/or equipment requirements for this
course?
NONE
C.
Any Other budgetary implications of mounting this course:
NONE
APPROVAL - ?
Faculty Undergraduate Curriculum Committee:
Faculty: ?
C1 j
tq-1c)
Senate:
S
.
?
FACULTY OF SC1 LNC1
NEI? ?
1'iOi'OSAL
I
CA1,FN
,
DAR ?
ON
Depart ment:
MATHEMATICS ?
Course Number:
496-4
Sub-t it Ic or I)escription
The topics included in this course will vary from
semester to semester depending on thcuity availability
land student interest.
Tit 10:
SELECTED TOPICS IN
MATHEMATICS
Credit flours : ?
Four ?
Vector Description: (4-1-0)
Pro--requisite(s) : ?
.
?
.
?
.
?
.
• ?
This course can only be taken with the permission of the Department.
II ?
E?ROLENT AN!) SChEDUlING
lIstijia ted Enrolment: 5 to 10 students.
Semester
Offered (c. g. Yearly, every Spring; twice yearly, Pall and
Yearly.
?
Spri.no)
when course will. first he offered:
Fail 1971 or. Spring 1972
III ?
JUSTI1:1(;AT1ON
:
A. Vhat is
the detailed description of the course including differentiation
from io':cr level couses,
from sinilar
courses in the same department
and from courses in other dcpartncn ts in the University?
This course will be
like
a standard upper level mathematics course
and the prerequisites will be set according to the subject matter
covered. The coUrse will be open only to junior and senior mathematics
students, and will not includp material from existing courses in
the Mathematics.Department or any other department in the University.
B. Whit is the range
of
topics that may he dealt with in the course?
•
?
?
The range of topics will include material from pure mathematics,
applied mathematics, or probability and statistics.
•
?
.'i•
?
.•.
C.
How does this course fit the goals of the department?
. ?
In view of the fact that the Department does not have enough
faculty to set-up a program which would include courses other
than the basic core program couiises, these selected topics courses
will allow the Department to offer those courses which do not
fit into the basic program but which are a necessary part of
the basic knowledge of a mathematics student.
D.
How does this course effect degree requirements?
This course has no effect on degree requirements.
E.
What are the calendar changes necessary to reflect the addition of
this course?
New entry.
F.
What course, if any, is being drooped from the calendar if this
course is approved?
None
C. What is the nature of student demand for this course?.
The Department has received several requests for courses not
included in present course offerings.
1-1. Other reasons for introducing the course.
The Department is requesting approval for two selected topics
course numbers as it is not possible for a student to receive credit
for a course with a specific number more than once.
IV ?
BUDGETARY AND SPACE FACTORS
A. Which faculty will be available to teach this course?
Any of the Faculty Members in the Department.
L
Ct
.1.
?
5'4AT
?
p
•
??
B 11hat are the special space and/or equipment requirements for this ?
course?
•
?
NONE
C. Any Other budgetary implications of mounting this course:
NONE
APPROVAL -
?
Faculty Undergraduate Curriculum Committee:
?
.
\
t
\7
Faculty: y¼JJ
?
q
Senate: ?
-
?
•
L
