S.90-19
Ul
.
SIMON FRASER UNIVERSITY
MEMORANDUM.
To: ?
Senate ?
From:
L. Salter
Chair, SCAP
Subject:
Department of Mathematics and ?
Date:
November 16, 1989
Statistics - Curriculum Revisions
Reference: SCAP 89-68
Action undertaken by the Senate Committee on Academic Planning/Senate Graduate
Studies Committee gives rise to the following motion:
"That Senate approve and recommend approval to the Board of Governors
as set forth in S. 90-19
?
the following
New courses
?
MATH 852 - 4 ?
Numerical Solutions of Partial Differential
Equations
MATH 853 - 4 ?
Numerical Methods in Continuous
?
Optimization
Renumbering of existing
MATH 852-4 to
?
MATH 855 - 4
?
Selected Topics in Numerical Analysis"
.10
.
?
SIMON FRASER UNIVERSITY
MEMORANDUM
DEPARTMENT OF MATHEMATICS AND STATISTICS
Ti:.:
Dr. P. Percival, Chairman
?
From: Dr. A. Lachlan
Faculty Of S
' :jence ?
: ?
Chairman, Graduate
Graduate Program i::ttee
?
: ?
Program Committee
Math & Stats Dept.
Re: New Course Proposals
?
: Date: June 28, 1989
- Numerical Analysis
In recent years we have been admittin
g
more graduate
students whose main interest lies in Numerical Analysis. It
should also be noted that our c':.urses in Numerical Analysis
have proved popular amon g
st students whose main interest
40
?
lies in Statistics or some other branch of Mathematics. A
year ago the Department was fortunate to receive a new
appointment in Numerical Analysis (filled by Dr. Trumruer).
As a result
Of
increased activity c.ur existing designated
courses in this area (Math 850, 851) have proved inadequate
to the needs of our students. The result has been that we
have had to mount courses under the special topics number
Math 852 more often than we would like.
In corder that our students' transcripts should reflect
more precisely what they have studied we are proposing that
two of the topics which we have offered under the selected
topics number: Numerical Solution of Partial Differential
Equations and Numerical Methods in Continuous Optimization,
be listed under regular course numbers 852-4, 853-4.
At the same time we wish to renumber the selected
topics :curse from 852 to 855.
Accordingly, I am sending with this menu:. New Graduate
Course Proposal Forms for:
Math 852-4 (Numerical Solution of Partial Differential
Equations)
• ? Math 853-4 (Numerical Methods in Continuous
Optimization)
Math 855-4 (Selected Topics in Numerical Analysis)
In conclusion, I would like to add that the question of
the actual numbers used for these courses is not crucial.
We have indicated the numbering we prefer. However, if
necessary, we are prepared to leave 852 unchanged and to
number the two new courses 853 and
854
0
.
2
EXISTING CALENDAR ENTRY
.
MATH 8504
?
Numerical Linear Algebra
Direct methodsfor numerical solution of linear systems of equations are
considered with emphasis on various applications such as statistical com-
puting.
MATH 8514
Numerical Solution of Ordinary Differential
Equations
Study of the practical numerical methods for solving initial and boundary value
problems for ordinary differential equations.
MATH 852-4
?
Selected Topics In Numerical Analysis
Study of a specialized area of numerical analysis such as partial differential
equations, continuous optimization, or approximation theory.
PROPOSED NEW CALENDAR ENTRY
MATH 850-4
Numeriral Linear Algebra
Direct and itcrativc methods for
the
numerical solution of linear systems, factorization techniques, linear
least squares problems, cigcnvaluc problems. Techniques for parallel architectures.
MATH 851-4
Numerical Solution of Ordinary
Differential Equations
Study of the practical numerical methods for solving initial and boundary valuc problems for ordinary
differciltial equations.
MATH 852-4 Numerical Solution of Partial
Differential Equations
Analysis and application of numerical methods for solving partial diffcrcnLial equations. Finite
difference methods, spectral methods, inultigrid methods.
MATH 853-4 Numerical Methods
in Continuous Optimization
Numerical solution of systems of nonlinear equations, and unconstrained optimization problems.
Newton's method, Quasi-Newton methods, secant methods, and conjugate gradient algorithms.
MATH
8554
Selected Topics in Numerical Analysis
Study of a specialized area of numerical analysis such as computational fluid dynamics, approximation
. theory, integral equations, integral transforms, computational cornplcx analysis, special functions,
numerical quadrature and multiple integrals, constrained optimization, uinitc element methods, sparse
matrix techniques, or parallel algorithms in scientific computing.
SUION FRASER LJN1VETT?
New
Crndunte
Cou
rs
e
Proposal rorm
?
S
CAI.EN
OAR I
NyoRMATlO:
Mathematics. f Statistics
?
.
?
Course
Numher:MATH 852-4
Depar teen
tL
Title ?
erica]
Solution of Partial Differential Equations
Analysis and application of numerical methods for solving partial differential
Description.
•
equations. Finite difference methods, spectral methods, multigriçl methods.
Credit hours:
?
4 ?
vector:_ ?
_rrerequiaitc(') If any:________
!NROLLIF.T.....I)
SChIF.DtILi1
t ?
15-20
gtimatcd Enrollment:
?
When will
the course fir
s
t be offered:__________________
how
often will the course be offered:
Once
ever
y
twxs
JusTTFlcATlo:....
PDE's rperhaps the central subject of numerical analysis. A course like this
is a
must for
students
in numerical
analysis, and applied mathematics, and should
also
appeal to
students
in Science
and Applied Science
RESOURCES:
Which
F
acul
t
y' member will normally
teach the
course: Ru
ell, Trummer, Lardner, visito
r
?
What are
the
bud
g
etary implications of mountin
g
the course: ?
Nil
Are there sufficient Library resources (append
d
Cfl hi B
)
.
_
Yes
Appended:. a) Outline of
the
Course ?
.
.1
b)
An indication of
the
comnetOflCc of the Faculty member to give the course.
c)
Library r
e
sources
Approved: Dcpntttnentfll Graduate Studies Comjntt'.e:
Faculty Graduate Studies Comjnit
.
t
lr
c:
^
?
I I
t
C
Faculty: _
c:4-\(•_' ..
_
A y4_
flntc
4'
Senate Graduate Studies Committee
Senate_
.
S
SIIION FRASER uNIvF"lTY
New Graduate Course
pro
p osal rorm
9
?
CAI.ENI)AR I14EORMAT1O:
Dcpirtrient:
Mathematics and Statistics
?
Course Number:MATH
853-4
Title:
Numerical Methods in Continuous Optimization
Description: Numerical solution
of
systems
of
nonlinear equations, and unconstrained
optimization problmms. Newton's method, Quasi-Newton methods, secant methods;
and conjugate
gradient algarithms,
Credit Hours:
?
4
?
- ?
Vector:_
PrerequisIte(s) If any!________
r.NIrnLL?IrNT
AND SUMMING
tatlnaLcd Enrollment:
12 ?
When will the course first be offered:__________________
b y
often will
the course
be offered:
Onceeverytwoyears
JusTlrIc,T1o::
Numericaloptimization
is
anotherextremelyimpoytant_branch_
of_scientific
computing for which we do not offer a regular course.
?
0
RESOURCES
Which Faculty member will normally teach the course:
Russell,Trumnier
What are the budgetary implications of mountin
g
the course: _Nil
Are there sufficient Library resources (annend details):Yes
Appended. a) Outline of the Course
?
,
.1
b)
An indication
of the com
p
etence of the Faculty member to sive the course.
c)
Library resources
gi
Approved Dcipnrtmentnl Graduate Studies Consaittee: ____Date:____________
-
?
Faculty Graduate Studies Committee:
?
Pt3..
__
Pure:
IL
Faculty:
?_
_
Date:
Senate Graduate Studies Committee
Q,_s
?
Dntet..1
- ?
Senates
I
SItION FRASERUNI VI:u1T?
New Graduate
Cohirsil. !!°!!i .9.!!
?
.
CALENDAR lNYORMATIo!1.
Department:
and Statistics ?
Humbert_MATH 855-4
Title:
Selected Topics in Numerical Analysis
Study of a specialized area of numerical analysis such as computational
fluid dynamics, approximation theory, integral equations and transforms, computational
comp
lex analysis
rnimerirIl qiidvntiir
.
rnctrind nptimi7'tirT
,
or
p'rallol
cniputing.
Credit Iloura:_4
?
vector:
?
If anV
r.NROLi)IINLi' SCIIEDUL12T
EstIDaLCl Enro1lmCflt)2
_
When will the course frat be offered:_________________
11ev often will
the
course be
?
_
Irregular intervals
?
-.
JusTlFIcATlo::
(Course renumbering).
?
-
?
'-S
I
I
RESOURCES:
Which Faculty member vfllnormallY teach the
cou ee:
Russell, Trummer, visitors
What
are the budgetary implicátione of mountin
g
the course:—
?
Nil
details): ?
Yes
Are there ,,uffiCtCflt Library resources (append
Appended.. n) Outline of tile
Course
.1
b) An indication of
the com
p
etence of the Faculty member to give the course.
-
?
c)
Library resources
Approved Pcpnrtmefltfll Graduate Studies
Commttt p
e
?
1
Otte
Faculty Craduate Studies Co:rjnittcC:
?
.
P i c ?
_till
tc:Jt<.Q,
Faculty ?
7r1A'Q4"--
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5
Scnntc Caduate Stüdlcn
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