S.91-8

SIMON FRASER UNIVERSITY

MEMORANDUM

• TO: Senate ?

FROM: ?

J. Munro

Chair, Senate

Cttee on Academic

Planning

SUBJECT: Graduate Curriculum Revisions -

?

DATE: ?

November 20, 1990

Faculty of Science

Action undertaken by the Senate Committee on Academic Planning and the Senate

Graduate Studies Committee, gives rise to the following motion:

MOTION: "that Senate approve and recommend approval to the

Board of Governors, as set forth in S.91-8 graduate

curriculum revisions in the Faculty of Science as follows:

i) S.91-8a ?

Department of Biological Sciences

ii)

S.91-8b

?

Department of Mathematics & Statistics"

.

---

S.91-8a

Department of Biological Sciences

Summary of Graduate Curriculum Revisions

SGSC Reference: Mtg. of April 9, 1990 and Mtg. of November 26, 1990

SCAP Reference: SCAP 90-67, SCAP 90-68

1.

New courses - BISC 880-3, BISC 881-3, BISC 883-3, BISC 884-3, BISC 885-3,

BISC 886-3, BISC 887-3, BISC 889-3

2.

Deletion of BISC 802-3, BISC 840-3, BISC 853-3, BISO 854-3

.

.

0

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SiMON FRASER UNIVERSITY

?

MEMORANDUM

•To ....... Dr. C.H.W. Jone............................

?

From

.....

.

D ?

B.A...ci

own,

Chairman

Dean

?

Science

?

Dept. of Biological Sciences

Subject ......

NEW GRADUATE

?

.

?

Date ...... Octobe..?L99.

Our Department has proposed 8 new graduate courses in specific areas of

Biological Sciences. These courses have been proposed due to Departmental

initiatives over the last few months and in response to our latest External

Review that stated there should be a greater variety of courses available to

graduate students. These courses are labelled as Special Topics to allow -

flexibility. In succeeding semesters it will be possible to change the course

content depending on the faculty member(s) giving the course and depending on

what is more topical at the time.

In addition to these new courses the Department of Biological Sciences

also wishes to retain its three graduate courses BISC 859, 869 and 879. The

Biological Sciences Department is large and diversified. Many faculty are

seconded to other positions (e.g. Killani Research Fellowship, University

Research Fellowships, Indonesian Project) Thus, many limited-term and

sessional appointments are made. Also, there are many Postdoctoral Fellows,

Visiting Faculty and Adjunct Professors. In order for our graduate students

to have access to the areas of expertise for these many visitors, the

Department offers specialized graduate courses on an irregular basis. The

present Special Topics courses (BISC 859, 869 and 879) serve this function

extremely well and we therefore wish to retain them.

/.

?

. ?

.-

?

.

?

.

BAM/mc

.

.

/

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I

New Graduate course rroposai. torm

CALENDAR INFORMATION:

Department:

?

Riological

Sciences ?

Course Number: ?

880-3 ?

S

Title: ?

Pccia1 'topics

in Behavioural

Ecolo

Description:

A consideration oP advanced special topj

;

cs in the field of behavioural

ecology

Credit Hours:

Vector:

3-0-0

?

Prerequisite(s) if any:

-

ENROLLMENT AND SCHEDULING:

Estimated Enrollment: 10-15

When will the

course first be offered:?

}tow often will the course be offered:as circumstances warrant (hut no more than once

?

per year)

JUSTIFICATION:

((uIr;c

wool d he

useful. in two generril eircumstnnces

I()

liv

out. a

new course, prior to adding it to the re

g

ular

curriculnm•

I )

?

a

1 low taco 1 ty , sahbal;i cal

visitors, or

faculty

from other

institution ,

t-r

I ?

I a I ty coui';es on a

one-time

only

basis

RESOURCES:

Which Faculty member will normally teach the course:Dill/Harestad/Roitberg/Verbeek/

Winston! Ydenberg and visitors

What are the budgetary implications of mounting the course:

None

Are there sufficient Library resources (append details):

several

addition,-;I

journals

are required (see attached memo to Sharon Thomas)

Appended: a) Outline of the Course

b)

An indication of the competence of the Faculty member to give the course.

c)

Library resources

Approved: Departmental Graduate Studies

Coittee:_a

_Date:O r

C\g

Faculty Graduate Studies Committee: ?

(/'-Q

Date:

9e,4,4—'c'

12

Faculty:

?

Date:

\\

Senate Graduate Studies

?

Date:1

---

S1M FRASER UNIVERSI'

MEMORANDUM

SHARON THOMAS,

HEAD

?

L.M. DILL, DIRECTOR

0

To

?

From

?

1AVoUiA

?

ot;ôc

LIBRARY ?

GROUP, BIOSCIENCES

Subjec

t

....

?

............................................

D

.1 ?

Date........

!X.

?

. ?

..........................

The Behavioural Ecology Research Group (B.E.R.G.) was formed in February,

1989, under the terms of Policy AC-35, with the following objectives:

1.

To pursue basic research in the field of behavioural ecology;

2.

To maintain and further develop an internationally recognized training

center for students in behavioural ecology, and related areas of

inquiry;

- ------- ----3I

1

0-provide a -service to-government-,industry and o the r—organ-i-ztions so

that basic and applied problems in behavioural ecology can be tackled

through collaborative research.

The group consists of 8 faculty members from BioSciences, Archaeology ,and

Psychology, along with an active group of post-doctoral fellows and graduate

students.

We have found our ability to meet our objectives somewhat limited by the

unavailability in the SFU Library of several journals central to our discipline.

.

?

?

The discipline is new, and so are many of its journals; presumably, they have not

been added to the collection owing to the financial restraints of recent years.

A survey of BERG faculty has identified the following journals which should

be added to the collection. Brochures describing some of them are attached

(marked by *)

- American Journal of Primatology

- Behavior Processes

- Biotropica

- Ethology, Ecology and Evolution

?

*

-

Ethology and Sociobiology

- Functional Ecology

?

*

- International Journal of Primatology

- J. Evolutionary Biology

?

*

- J. Field Ornithology

- J. Insect Behavior

- Trends in Ecology and Evolution

?

*

We

hope that the current financial situation will allow upgrading of the

f.ihrary; collection in our research area, and thank you for your attention to

this joint request. Please let me know if you need any further information.

0 ?

LMD/mc

?

3

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I

New Graduate

Course

Proposal

Form

CALENDAR

INFORMATION:

?

fl

Department: ?

RIOLOCICAL SCIENCES

?

Course Number: 881-3

Title ?

SPECIAL TOPICS IN CELL AND MOLECULAR BIOLOGY

Description:

A student participation seminar course focusing on recent literature

on

selected topics in

cellular,

developmental, and

molecular biology

flit(1

gene

I. I

CS.

Credit Hours:

?

3Vector: ?

3-0-0Prerequisite(s) if any: Permission

of instructor.

ENROLLMENT AND SCHEDULING:

Estimated Enrollment:

?

12 ?

When will the course first be offered: 19903

How

often will the course be offered: Each semester, according to demand.

JUSTIFICATION:

T1W 0

011T'^;e

will provide

students

with

,

a structured,

in-depth

analytical approach

to I

lie I

iteriLiu'e on

selected topics.

The

capacity to present information and

to

ieitira]

ly

evaluate

experiments will be emphasized as part of the development

student's prot'essional competence.

RESOURCES:

Which Faculty member will normally teach the course: VariousmembersoftheIMBB

What are the budgetary implications of

mounting

the

course: fotocoPiesof

20-30

per week will. be

provided

to each student.

Are

there

sufficient Library resources (append details):

y

es.TMRB _

journaT_

room _will

iseil

f

•

(it' most assigned articles.

Appended: a) Outline of the Course

b)

An indication of the competence of the Faculty member to give the course.

c)

Library resources

Approved: Departmental Graduate Studies Committee:__

/__

Faculty Graduate Studies Coumiittèe: ?

?.t-)i

j7-_Q, Date:

jtio

Faculty: ?

___

___

_C.i,4.

3

X'-b'D

Date:

i\

D

c\

Senate Graduate Studies ?

Date:

7'2-,/4 ?

CL

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Course Outline

Cell and Molecular Biology

The format and content of the course will depend on the

selected topics and the instructors responsible fdr the

course. In general, the course will require graduate

students to prepare a written summary and lecture on their

assigned topic. Each student will read assigned papers

before each lecture, and will be expected to participate in

discussions of the lecture material. Additional work (such

as a term paper or research grant proposal) may be assigned

as appropriate. During some semesters, the course will

consider a specific topic in depth, while during others it

will provide an overview of a number of areas of research

front activity.

.

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New Graduate Course Proposal Form

CALENDAR ThFORMATIc:

Department:

?

B.IOLOGICAI.SCIENCES

?

Course Number:

?

883-3

Title: ?

;F'I:c.lAL TOPICS IN ENVIRONMENTAL TOXICOLOGY

Der,criptic y

n: S pe r ia] t o

pics

course

with emphasis on recent developments in

(riv i ronment;al to) .icology.

Credit Hours:

?

_3

Vector:

3-0-0

Prerequisite(s) if any:None

ENROLLMENT AND SCHEDULING:

Estimated Enrollment:

?

10

When will the

course first

be offered: ?

1991

How often will the course be

offered:

Once every two years or

more frequently with

deli I.

?

£le1l1;1ll(l

JUSTIFICATION:

A! .heugh ?

cveNL1

?

advanced level courses in the

environmental toxicoldgy program

Id ?

he ?

tu;ed

?

as graduate program (M. Sc. ?

and Ph.D. )

?

course requirements, ?

there

110 ?

("rivir(millental ?

lox icology ?

graduate ?

course

per se in the

Department. ?

The

l)eed

course will meet the demand of the graduate students in this area.

RESOURCES:

Which Faculty member will normally teach the

course:

Environmental toxicology faculty,

v I I t irug pror

?

essors, nd

a

local experts outside of SVU.

What are the budgetary implications of mounting the course:

Minor travel costs for

en tn

ide experts

Are there sufficient Library resources (append details):

?

Yes

Appended: a) Outline of the Course

b)

An indication

of the competence of the

Faculty member

to give

the course.

c)

Library resources

.

Date:

Date:

-10

?

S

c;r4-

Date: \\ c

?

,-_--._

?

Date:

2T)Aeni

Approved: Departmental Graduate Studies Committee:

Faculty Graduate Studies Committee:

Faculty:

Senate Graduate Studies Committee

---

()URSE UIJJLLNE

. ?

883-3- SIIC[Al. TOPICS IN ENVIRONMENTAL TOXICOLOGY

I'iiv I ronhIlt9If

a

I tox icl.ogy is a rapidly changing, multidisciplinary science.

The

()

h

,

J4•rt.

ive or the course is to keep graduate students abreast of the most

and I niievati y

e approaches and discoveries in this area. Topics such

wa; te 1ispoiai industrial

toxic

waste abatement, health risk

• ;;5Sf!leIlI., environmental

legislation, biochemical toxicology, wildlife

t.oxico()gy, t:nxicoknetcs, inhalation toxicology, etc., could be included

in the ('nii;c

the

COIlT;'

will

he

co-ordinated by a faculty member. It will follow a

lecture/seminar rormnat. Lectures and seminars will he presented by a group

or experts and scientists. Presentation of seminars by students is also

euiuOti ra&al

9

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t-'.-

F. A

Faculty:

Senate Graduate Studies Committee:

New Graduate course rroposai rorm

CALENDAR INFORMATION:

Department:

Biologi

ca

l

Sciences ?

Course

Number:884-3

Title:

SI1C1AI. TOPICS

IN

PIST

ECOLOGY

AND

MANAGEMENT

I

Description:

A specific topic

in the field

of pest

ecology

and management, not

otherwise covered in depth in Yegularly scheduled courses.

Credit Hours: 3

?

Vector:

3-0-0 ?

Prerequisite(s) if any:_____

ENROLLMENTANDSCHEDULING:

Estimated Enrollment:

5- 20

When will the course first be offered: 1990-3

How often will the course be offered:

Asrequiredbystudentdemand.

JIJSTTFTCATION:

[he cotirse will cover new and specialized topics that cannot be offered

by

faculty

no a re

g

ular basis.

P

.

Dt11T)P.

Which Faculty member will normally teach the. course:Faculty and Adjunct _Professorc _in

Centre for Pest Management.

What are the budgetary implications of mounting the course: None -

Are there sufficient Library resources (append details):Yes

Appended: a) Outline of the Course

b)

An indication of the competence of the Faculty

member to

give

the course.

c)

Library resources

Approved: Departmental

Departmental Graduate Studies Committee:

Faculty Graduate Studies Committee:

'L)

iate: aorcp

Date:__________

Date:

ate:

---

9 ?

884-3. -

SPECIAL TOPICS IN PEST ECOLOGY AND MANAGEMENT

Course objectives:

The objective of the course is to provide graduate students with an in-depth

analysis of a topic in pest ecology and management. The course content will

change from year to year to reflect student interests and topical research.

Course format:

This course will follow a lecture/seminar format. In general, the course will

require graduate students to prepare a written summary and to give a seminar on

their assigned topic. Each student will read assigned papers before each lecture,

and will be expected to participate in discussions of the lecture material._

?

-

or research grant proposal) may be

assigned as appropriate. During some semesters, the course will consider a

specific topic in depth, while during others it will provide an overview of a number

of areas of research front activity.

Student evaluation:

Seminar and essay.

C

0

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CALENDAR INFORMATION:

.

Department

:Ui

fl

i(-) g

i

Cal

Sciences

Course Number:

885-3

New iracivate (;oUrse rroposai rorm

Title: ?

I al Topics

in Animal Physiology

Description:

fipecinl topics in

comparative vertebrate

and invertebrate functional

IfleChan I

IfltS

and adaptations

Credit Hours:

?

:

Vector: 3-0-0

?

Prerequisite(s)

U

ay Undergrad.

course in animal

pflysio1ugy.

ENROLLMENT AND SCHEDULING:

5-10

Estimated Enrollment: ______

When will, the course first be offered: 1990-3

How often will the course be offered:Once per year

JUSTIFICATION:

l.ary' inereases .1 n physiologically oriented graduate students.

V.ry 't'w physiological

courses, all of' witch are specialized.

P Tfl! I P

Which Faculty member will

normally teach the course:Team taught: Dr. Belton, Dr. Burr,

l)i'.

lank

I()IICT',

l)r.

l'Lurell , Dr. }Iaunerland , Dr. McKeown, Dr. Nair.

What are the budgetary

implications of mounting the course:

Faculty

time and space.

i liv i te(l speakers

Are there sufficient Library resources (append details): Yes - current SFU held journals

ii Lt

I' I I tii'n ny ?

.1

(lIl

Appended: a) Outline of the Course

b)

An

indication of the competence of the Faculty member to give the course.

c)

Library resources

Approved: Departmental Graduate Studies

Conmittee:"/'7/7171V"-17/4Date:_

oc

c'J

O

Faculty Graduate Studies Committee:

?

j&'i2

Date:

Faculty: ?

C)Cc14

•'r-"I"

Date:

Senate Graduate Studies Cou!mittee:

c ?

(T25.._-_.-..

Date:____________

.

I-

---

Ct )1 JISE 01 II! I

3-}'ICJAI. TOPIC S IN ANIMAL PHYSIOLOGY

r5( ?

()

I

?

I.

I '

hri ?

a part. i mi ar group or students to an understanding of the functional

itiIianistu and adaptations in animals. The course content will change from

v:ir to

year as there will he an attempt to emphasize the interests of the

enrolled in the course at any one particular tithe. Nevertheless,

11,111

ran I.

?

1

rrin!t

and the independent reading by the students, an effort

wil l

he

liladf. ,

tl(.)

give the students an appreciation for general physiological

in tie I p1 ma and the.i

r

scope and position in many contemporary physiological

1 rs

Iii is

((>ttm;,

w I I I ml 1 ow a 1 em trire/seitli nar rormat .

?

A number of faculty will

I rival 'ei w I Lii Liii a course per otf'eririg and will introduce the topics for

hat part i mit] an te nin w I i;h lectures

_i.n_thei.r_Ci,.el.d_ojexper_tjseThe_lat.ter_ --

ha I r or the retinae will involve the enrolled students presenting seminars on

: ml

hr or

related topics to the lectures. The students will also have to

wn i to art essay on the i.r seminar topics.

ttideritevaluation:

;em I nar and essay.

.

U

//

---

New Graduate Course Proposal Form

CALENDAR INFORMATION:

Department:

?

UI()I,OGICAI. SCIENCES

?

Course Number:-886-3

Title:

?

t'E ?

TOPTCS IN MARINE AND AQUATIC BIOLOGY

Description: Special topics course emphasising recent developments in the area of

aqua I c and

marine biology

Credit Hours: ?

3

?

Vector: 3-0-0

?

Prerequisite(s) If any: None

ENROLLMENT AND SCHEDULING:

Estimated Enrollment:

5-10

?

When will the course first be offered: 1991-1

How often will the course be offered: Once a year

JUSTIFICATION:

a1 c I (•nren has a

large and expaj'icling group of faculty involved in aquatic

and

?

inc rnt,aich. Their

graduate students require a continuing graduate course in

acea

Which Faculty member will normally teach the course: Faculty in marine and aquatic biology

What are the budgetary implications of mounting the course: Minor book purchases to keep

a aent with I :i,t;(2

rat tire.

?

Invited speakers.

Are there sufficient Library resources (append details): Current reference. material and

1 ?

F'fl

r\' lonrisadequate.

Textbooks seem adequate at this time.

Appended: a) Outline of the Course

b)

An indication of the competence 'of the Faculty member to give the course.

c)

Library resources

Approved: Departmental Graduate Studies Committee:&

?

Date:O

Faculty Graduate Studies Committee:

_

reJL

Date:___________

Faculty: ?

. ?

Bate: ?

0 J

Senate Graduate Studies Committee:

?

Date:

-I-)

---

.

COURS! OUTLINE

886-3 - sti:cint,

TOPICS IN MARINE AND AQUATIC BIOLOGY

This

Cotii;t'

will provide the student with

?

in-depth analyses of contemporary

I Lcratiu

?

in specific research areas of marine and aquatic biology. The

t"cif'ic

topics for a given semester will reflect the broad interests of

i:u.tt.l t:y in marine and aquatic biology.

The

spe in I topics course will follow a lecture/seminar format. Faculty

;titd irtv I Ltd speakers will introduce selected topics with lectures at the

;tnrt;

oh the

course.

Students will present a series of seminars on related

topics mid

wiu

perform independent literature research and submit an essay.

.

.

13

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CALENDAR INFORMATION:

is

Department:

BIOLOGICAL SCIENCES

Course Number:

887-3

New Graduate Course Proposal Form

Title: ?

SPECIAL TOPICS IN PLANT BIOLOGY

Description:

Advanced treatment of selected topics or specialized areas in plant

biology. The special topics which will he discussed will vary from

semester to semester.

Credit Hours:

?

3

?

Vector:

-

Prerequisite(s) if any: None

ENROLLMENTANDSCHEDULING:

Estimated Enrollment:

5- 1

5When will the course first be offered:

1991-1

Row often will the course be offered:

Two

out of three semesters or as required.

JUSTIFICATION:

There are limited ways in the currentcalendar

.

for Biological Sciences to offer

graduate level courses on contemporary issues and specialized areas -in plant

biology. This course will enable the plant biologists to offer a range of

special topics from year to year to meet challenging interests in plant biology.

RESOURCES: ?

S ?

-

Which Faculty member will normally teach the course:

Any/all planf

biologists

What are the budgetary implications of mounting the course: None

Are there sufficient Library resources (append details):

?

Yes

Appended: a) Outline of the Course

b)

An Indication of the competence of the Faculty member to give the course.

c) Library resources

Approved: Departmental Graduate Studies Committee:

?

M*6"

a

t e :

Q 0

P)\o

.

9

Faculty Graduate Studies Committee:____

?

r)L

.P,t4ate:

13'

1D

t-

Faculty:

?

:

Dete:

\\

Senate Graduate Studies Committee:

?

Date :

?

,

/

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COURSE OUTLINE

This course will develop and investigate specialized areas

in plant biology of current significance. Instruction may

consist of lectures, seminars and discussion, or

laboratory/field projects which are appropriate to the

particular course theme. Emphasis in the course will help

students gain knowledge and expertise which will recognize

their individual scholarly objectives.

.

.

/3,

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New Graduate Course Proposal Form

CALENDAR ThFORMATI(:

Department:

B101,0GICAL, SCIENCES

?

Course Number:

?

889-3

Title: ?

I)! lHCTED [1EAL)INC

Description: Intended to cover the same ground as a normal graduate course, it may be

given

Lo uiw or two

students

where

the lecture/seminar procedure is

inappropriate.

Credit Hours:

?

3

?

Vector: 3-0-0

?

Prerequisite(s) if any:_____

Prior approval

of

the Department

Graduate Studies Committee is required.

ENROLLMENT AND SCHEDULING:

Estimated Enrollment:1-3

When will the course first be offered:1990

How often will the course be offered:

?

When required

JUSTIFICATION:

A ?

is

iit-;e

required tn meet deficiencieh in the haekronnd

or

the special needs

of

I ?

I

?

!':

?

t ?

i

PT?fl!TTU'?.

Which Faculty member will normally teach the course: Any

What are the

budgetary implications

of mounting the

course: Negligible, some

pin

t OP Oy I

rig may

10

needed.

Are there sufficient Library resources (append details): yes -

the

courso tJnnid not h

p

?

ni ?

lI(!I

I ly o

r-

I ?

rry

had material.

Appended: a) Outline of the Course

b)

An

indication of the competence of the

Faculty

member to give the course.

c)

Library resources

Approved: Departmental Graduate Studies Committee

AT

M&A-Date:pO

Faculty Graduate Studies Committee:

?

Date:

?

3c7ot'3Z7

Faculty: ?

k'-L, Date:

\\

C )i

' '\ V

Senate Graduate Studies

: ?

Committee

(a—..... ?

Date:

.

.

.

---

• ?

()tJRSE OIJTt .1 NE

889-3 - n.i tu:e'IEj)_READING

I)(.SC will maintain standards for directed reading courses.

Ihgiil.ar meetings would normally he required between instructor and students

1-0

iet

tip

the reading assignments and monitor progress

All least two essays or term papers would he required for evaluation and

copies would he retained by the Department.

FM

.

/7

---

SiMON FRASER UNIVERSITY

?

.

MEMORANDUM

Dr. Percival, Chairman, Faculty ?

From.. Dr. M.J. Smith, Chairman,

Subject.

.9. ?

. ..............................

?

Date. ?

...............................

The Department at

thle

29 November 1990 meeting agreed to drop the

following 800-level courses from the graduate calendar:

BISC 802 - Genetics

DISC 8

1

10 - Analyses of Insect Pest Situation

DISC 853 - Plant Disease Vectors

BISC 854 - Plant Pathosystems

Dr.

Graduate Studies Committee

MJS:adj

"ci

---

S-91-8b

S.,

Department of Mathematics and Statistics

Summary of Graduate Curriculum Revisions

SGSC Reference: Mtg. of November 26, 1990

SCAP Reference: SCAP 90-69

1.

Revision to the Ph.D. Requirements

2.

Inclusion of a separate entry for Statistics in the graduate Calendar

3.

Change of course number -

MATH 850

?

renumbered

?

MATH 920

5

MATH 851

?

renumbered

?

MATH 921

MATH 852

?

renumbered

?

MATH 922

MATH 853

?

renumbered

?

MATH 923

MATH 855

?

renumbered ?

MATH 929

MATH 885

?

renumbered ?

MATH 960

MATH 886

?

renumbered ?

MATH 961

MATH 887

?

renumbered

?

MATH 964

MATH 888

?

renumbered

?

MATH 965

4.

Change of course number and title -

MATH 842

?

renumbered MATH 910 Ordinary Differential Equations

MATH 845

?

renumbered MATH 912 Partial Differential Equations

MATH 881

?

renumbered MATH 948 Continuum Mechanics

MATH 889

?

renumbered MATH 990 Selected Topics in Applied Mathematics

MATH 890

?

renumbered MATH 945 Plasticity

5.

Deletion of MATH 838-4, MATH 843-4, MATH 846-4, MATH 882-4, MATH 883-

4, MATH 884-4, MATH 891-4, MATH 892-4, MATH 893-4

6.

New Courses - MATH 900-4, MATH 901-4, MATH 902-4, MATH 905-4, MATH

930-4, MATH 934-4, MATH 935-4, MATH 939-4, MATH 940-4, MATH 950-4

7.

Change of title - MATH 833-4

. ?

8.

Revisions to the Applied and Computational Mathematics Program including

the introduction of a project option at the Masters Level.

---

V5c 5-90

C

?

• TITT\.

SIMON F R A S E R UNIVERSITY

?

MEMORANDUM?

DEPARTMENT OF MATHEMATICS AND STATISTICS

To: ?

Dr. Paul Percival

Chairman, Faculty of

Science Graduate

Program Committee

Re:

GRADUATE PROGRAM?

REVISIONS

From: Dr. A.H. Lachlan

Chairman, Graduate

Program Committee

Math & Stats Dept.

Date: August 24, 1990

I am hereby seeking approval for a number of changes to

•

?

the graduate program of the Department of Mathematics and

Statistics. In summary the changes proposed are:

(I)

Revision of the regulations for the Ph.D., in

particular, those concerning the General Examination.

(II)

Inclusion of a separate entry for Statistics in

the graduate calendar.

(III)

Revision and renumbering of those graduate

courses which have been grouped together under the heading

"Applied and Computational Mathematics".

(IV)

Substitution of: Math 833-4 Analysis: Selected

Topics for Math 833-4 Real Analysis: Selected Topics.

(V)

Identification of graduate programs in Applied and

Computational Mathematics and separate entry for Applied and

Computational Mathematics in the graduate calendar.

Details of the proposed changes are included in five

separate sections below.

1'

---

.

2

GUIDE TO REST OF THE DOCUMENT

Page (s)

I.

Ph.D. regulations

II.

Graduate calendar entry

III.

Course revision and new

IV.

Course substitution

V.

Graduate calendar entry

and Computational Math

3

for Statistics ?

5

courses ?

9

13

for Applied

?

14 ?

inatics

Appendix A.

?

New course proposal forms.

Appendix B. Graduate calendar entry for Department

of Mathematics and Statistics

.

9

---

0-

I. Changes to the Ph.D. Requirements.

It is proposed that the first two paragraphs under the

heading Ph.D. Program on page 271 of the Calendar, namely

A candidtte for the Ph.D. degree will generally be required to obtain at least

28 hours ci credit for course work beyond courses taken for the Bachelor's

degree. Of these 28 hours, at least 16 are to be in graduate courses or graduate

seminars and the remaining 12 may be chosen from graduate courses or

graduate seminars or 400 level undergraduate courses. Students who hold an

M.Sc. In Mathematics or Statistics are deemed to have earned 12 of the 16

graduate hours and 8 of the 12 undergraduate or graduate hours required. The

course work in all cases will involve study in at least four different areas of

- -

?

Mathematics,.at.least one.ottheseareas.being in.Analysis(Applied,Compiex -

or Real). Applied Analysis is understood to include Differential and Integral

Equations and Methods of Applied Mathematics.

Candidates for the Ph.D. degree will normally be required to pass a general

examination. At the option of the Candidate's Committee, this shall consist of

either written papers in four areas

of

study, or written papers in three areas

of

study, and graduate course work in an approved fourth area in which a grade

of B or higher is obtained. In either case, one of the written exam areas must

be in Analysis (Applied, Complex or Real). A candidate ordinarily will not be

allowed to take the general examination more than twice. Students will be

. ?

Interviewed and. advised regarding appropriate courses, and examination

curricula. Course programs and examination prorams require departmental

approval.

be replaced by:

A cat-ni idat.c Iui: the Ph .1). dc;rcc

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I

---

Rationale.

(i)

The requirement that each candidate study Applied,

Complex, or Real Analysis is being dropped. The growing

strength of subdisciplines for which the requirement seems

inappropriate has made it a nuisance in recent years.

(ii)

The fourth area requirement in the General Examination

has been dropped since it could be satisfied by course work

and has had negligible impact.

(iii)

The format of the General Examination is being

changed to allow oral examinations instead of written ones.

This will allow us greater flexibility.

9

.

.

'I

---

.

5

II. Statistics entry in the Graduate Calendar.

It is proposed that the following entry be placed in

the graduate calendar to give more emphasis to the graduate

program in Statistics.

Statistics Program*

Location: ?

10512 Shrum Science Centre

Telephone: 291-3331

Chair: ?

A.R. Freedman, A.B. (Calif.),

Ph.D. (Oregon State)

The program in Statistics is one of the graduate programs

offered by the Department of Mathematics and Statistics.

FACULTY AND AREAS OF RESEARCH

Discrete and lifetime data, extra-Poisson

variation.

Biometrics, generalized linear modelling,

theory of inference.

Goodness-of-fit testing, inference on

stochastic processes, large sample theory.

Biometrics, estimating the sizes of

animal populations.

Goodness-of-fit testing and

directional data.

Statistical computing, theory of inference.

Foundations of Bayesian inference.

Cross sectional sampling, statistical

consulting.

r

?

C. Dean

D. Eaves

R. Lockhart

R. Routledge

N. Stephens

T. Swartz

C. Villegas

K. L. Weldon

Adjunct Professor

J.

Cook ?

Applications to the forest industry.

*The formation of an Institute for Statistics and

Probability has been proposed. Should the Institute be

created appropriate changes would be made to the calendar

entry which would then appear under the Institute.

.

---

6

Admission

For admission requirements, refer to the Graduate

General Regulations.

Applicants are normally required to submit scores in

the aptitude section of the Graduate Record Examinations of

the Educational Testing Service. Applicants whose first

language is not English will normally be asked to submit

TOEFL results.

Applicants with degrees in areas other than statistics

are encouraged to apply provided they have some formal

training in statistical theory and practice.

Degree Requirements for M.Sc. and Ph.D.

M.Sc. Program

The program is intended to give students instruction in

a wide range of statistical techniques and also to provide

experience in the practical application of statistics. The

program should be of interest to students who wish to

acquire statistical expertise in preparation for a career in

either theoretical or applied statistics.

Students in the program will be required:

- To complete at least 28 semester hours of credit for

course work in Statistics and related fields beyond

courses taken for the Bachelor's degree. Of these 28

hours, at least 20 are to be in graduate courses or

graduate seminars, and the remaining 8 may be chosen

from graduate or graduate seminars or 400 level

undergraduate courses. Normally these courses will

include STAT 801-4 (Mathematical Statistics) and at

least four of STAT 802-4 (Multivariate Analysis), STAT

803-4 (Data Analysis), STAT 804-4 (Time Series

Analysis), STAT 805-4 (Nonparametric Statistics and

Discrete Data Analysis), and MATH 871-4 (Applied

Probability Models).

- To complete satisfactorily STAT 811-0 (Statistical

Consulting I) and STAT 812-0 (Statistical Consulting

II)

- To submit and defend successfully a project (as

outlined in the Graduate General Regulations) based on

some problem of statistical analysis. This problem will

ordinarily arise out of the statistical consulting

service.

Students with backgrounds in other disciplines, or with

an inadequate background in statistics, may be required to

---

take certain undergraduate courses in the department in

addition to the above requirements.

Ph.D. Program

A candidate for the Ph.D. degree will generally be

required to obtain at least 28 hours of credit for course

work beyond courses taken for the Bachelor's degree. Of

these 28 hours, at least 16 are to be in graduate courses or

graduate seminars and the remaining 12 may be chosen from

graduate courses or graduate seminars or 400 level

undergraduate courses. Students who hold an M.Sc. in

Statistics are deemed to have earned 12 of the 16 graduate

hours and 8 of the 12 undergraduate or graduate hours

-----requ-i-red-.--The—cou-rse—work--i-n—a-1-1--cases—w-j-l-1--j-nvo-l-ve--study

in at least 4 different areas of Statistics and Probability.

Candidates for the Ph.D. degree will normally be

required to pass a General Examination. The General

Examination will consist of examinations in three areas.

The areas selected for a particular candidate are subject to

approval by the Supervisory Committee and the Graduate

Studies Committee. In a given area the examinations may be

written or oral at the option of the Graduate Studies

. ?

Committee. A candidate ordinarily will not be allowed to

take the General Examination more than twice. Students will

be interviewed and advised regarding appropriate courses and

examination curricula.

Students who have completed a Master's degree will

normally be required to attempt the general examination

within one year of their initial registration in the Ph.D.

program.

A candidate for the Ph.D. may be required by his/her

Supervisory Committee to acquire proficiency in reading

statistical papers in either French, German or Russian.

Students will be required to submit and successfully

defend a thesis which will embody a significant contribution

to statistical knowledge.

For further information and regulations refer to the

Graduate General Regulations section.

iFA

1d

---

7a.

Graduate Courses

STAT ?

602-3

?

Generalized Linear and Non-linear Modelling

A methods -oriented unified approach to a broad

array

of nonlinear regression

modelling methods including classical regression, logistic regression, probil

analysis, dilution assay, frequency count analysis, ordinal-typo responses, and

survival data. A project will be assirujd related to Students' field of Study.

Prerequisite: STAT 302 or 330 or permission of instructor. Open only to

graduate students in departments other than Mathematics and Statistics.

STAT ?

650-5 ?

QuantItative Analysis In Rosourco Management and

Field Biology

The use of statistical techniques and mathematical models In resource man-

agement with special emphasis on

e

xperimentation, survey techniques, and

statistical model construction. (5-0-0)

Prerequisite: A course in parametric and

non-pararno fr/c statistics. This course may not be used (or flu-i satisfaction of

degree requirements in the Department of Mathematics and Statistics.

STAT ?

601-4 ?

Mathematical Statistics

Advanced mathematical statistics. A survey of basic concepts

in

point es-

lit-notion, interval estimation and hypothesis testing. F'rincipins of inference.

Students with credit (orMA TI1075-4 a iaynot take S TA TOO 1-4 (or fur thor credit.

STAT ?

802-4 ?

Multivariate Analysis

An advanced course in Muitivariato Analysis. Factor analysis, discriminant

analysis, principal componnnts, canonical correlations. Muitiv;uiato regression

and analysis of variance. Students with credit for MA TI 1076-4 may not take

STAT8Q2 .

4 for fur Ili or credit.

STAT ?

803-4 ?

Data Analysis

A problem-based course emphasizing the exploratory aspects of statistical

analysis with emphasis on modern computor-orientod methods.

Prerequisites:

MA TI-I 472 or equivalent or permission of the instructor.

STAT ?

804-4

?

Time Series Analysis

An introduction to time series models and their analysis. Both time-domain and

f

equivalent

r

equency-domain

or permission

techniques

of the Instructor.

will be studied.

Preroquisitos: MATH 472 or

STAT 805-4

Non-Parametric Statltics and Discrete Data Analysis

Order statistics, rank statistics, procedures based on the empirical distribution

function. Asymptotic efficiencies. Goodness-of-fit. Contingency tables, log-

linear models. Further topics.

Prow quisltos: MATH 372 and 473 or equivalent

or porn iisslon of the instructor.

STAT ?

811-0

?

Sta

tistical Consulting l

Students will participate in the department statistical consulting service under

the direction of faculty members. This course will be graded on a satisfactory/

unsatisfactory basis.

Open to M.Sc. and Ph. D. studonts In Statistics.

STAT ?

812-0

?

Statistical Consulting II

Students will participate in the cieparlmont statistical consulting service under

the direction of faculty mnombor. This course is graded on a satisfactory/

unsalinfncto

i

y bni.

Open to M.Sc. and

Ph.D.

students In Statistics.

STAT

?

890-4 ?

tatisLIc.: Seløct.d Topics

See also Math 800-899 listed under Department of Mathematics

and Statistics on page xx and Math 900-990 listed under

Applied and Computational Mathematics Program on page xx.

---

S

8

Rationale:

In recent years the Statistics group within

the Department of Mathematics and Statistics has grown and

there has been a sharp increase in the number of graduate

students working in Statistics. In many universities there

are separate Departments of Statistics. The separate

calendar entry is merited by the acknowledged status of

Statistics as a separate discipline.

It should be noted that there is no question here of a

new program being introduced. The calendar description

corresponds exactly to what has been going on for a number

of years as part of the graduate program of the Department

of Mathematics and Statistics.

fl,

.

9

---

.

9

111. Revision of graduate course offerings in applied

mathematics and numerical analysis.

(i)

The courses numbered 850, 851, 852, 853, 855, 885,

886, 887, 888 are to be renumbered with the same title to

920, 921, 922, 923, 929, 960, 961, 964, 965 respectively.

(ii)

The courses 842, 845, 881, 889, 890 are to be

renumbered and retitled according to:

Math 842-4

Math 845-4

Math 881-4

Math 889-4

Math 890-4

become

Math 910-4

Math 912-4

Math 948-4

Math 990-4

Math 945-4

Ordinary Differential Equations I

Partial Differential Equations I

Continuum Mechanics I

Applied Mathematics: Selected Topics

Plasticity I

Ordinary Differential Equations

Partial Differential Equations

Continuum Mechanics

Selected Topics in Applied Mathematics

Plasticity

(iii) The courses

Math 838-4 Complex Analysis: Selected Topics

Math 843-4 Ordinary Differential Equations II

Math 846-4 Partial Differential Equations II

Math 882-4 Continuum Mechanics II

Math 883-4 Elasticity I

Math 884-4 Elasticity II

Math 891-4 Plasticity II

Math 892-4 Elasticity: Selected Topics

Math 893-4 General Relativity: Selected Topics

are to be deleted and the following new courses are to be

introduced:

Math 900-4 Advanced Mathematical Methods I

Math 901-4 Advanced Mathematical Methods II

Math 902-4 Applied Complex Analysis

Math 905-4 Applied Functional Analysis

Math 930-4 Fluid Dynamics

Math 934-4 Selected Topics in Fluid Dynamics

Math 935-4 Mechanics of Solids

Math 939-4 Selected Topics in Mechanics of Solids

Math 940-4 Mathematical Elasticity

Math 950-4 Tensor Analysis on Differentiable Manifolds

---

.

The calendar descriptions for the new courses and

suggested texts are as follows:

Math 900-4 Advanced Mathematical Methods I

Hubert spaces. Calculus of variations. Sturm-Liouville

problems and special functions. Green's functions in one

dimension. Integral equations. Prerequisite: Math 314-3

or equivalent. Math 419-3 is recommended.

(Based on Chapters 1-6 of Mathematical Methods in Physics &

Engineering by J.W. Dettman (McGraw-Hill).]

Math 901-4 Advanced Mathematical Methods II

Eirst order part ia1_differential_equations.__. ------------

Characteristics. Eigenfunction expansions and integral

transforms. Discontinuities and singularities; weak

solutions. Green's functions. Variational methods.

Prerequisite: Math 314-3 or equivalent. Math 418-3 is

recommended.

[Based on Chapters 2-8 of Partial Differential Equations of

Applied Mathematics by E. Zauderer (Wiley) (Excluding

Sections 4.7, 5.7, 8.5).]

Math 902-4 Applied Complex Analysis

Review of complex power series and contour integration.

Conformal mapping, Schwartz-Christoffel transformation.

Special functions. Asymptotic expansions. Integral

transforms. Prerequisite: Math 322-3 or equivalent.

[Based on Chapters 1-7 of Functions of a Complex Variable:

theory and technique by Carrier, Krook & Pearson.]

Math 905-4 Applied Functional Analysis

Infinite dimensional vector spaces, convergence, generalized

Fourier series. Operator theory; the Fredholin alternative.

Application to integral equations and Sturm-Liouville

systems. Spectral theory. Prerequisite: Math 900-4 or

permission of the instructor.

[Based on Chapters 4-7 of Greens functions and boundary-

value problems by Stakgold.]

Math 930-4 Fluid Dynamics

Basic equations and theorems of fluid mechanics.

Incompressible flow. Compressible flow. Effects of

viscosity. Prerequisite: Math 361-3 or equivalent. Math

462-3 is recommended.

. ?

[Based on Chapters 1-7 of Fluid Mechanics by C.S. Yih, West

River Press (1988).]

10

/1

---

11.

Math 934-4 Selected Topics in Fluid Dynamics

Study of a specialized area of fluid dynamics such as

hydrodynamic stability, multiphase flow, non-Newtonian

fluids, computational fluid dynamics, boundary-layer theory,

magnetic fluids and plasmas, bio-and geo- fluid mechanics,

gas dynamics. Prerequisite: Math 930-4 or permission of

the instructor.

Math 935-4 Mechanics of Solids

Analysis of stress and strain. Conservation laws. Elastic

and plastic material behaviour. Two- and three-dimensional

elasticity. Variational principles. Wave propagation.

Prerequisite: Math 361-3 or equivalent. Math 468-3 is

recommended. Students with credit for Math 883-4 may not

take Math 935-4 for further credit.

[Based on Chapters 1-11 of Solid Mechanics by Y.C. Fung,

Prentice-Hall.)

Math 939-4 Selected Topics in the Mechanics of Solids

Study of a specialized area of the mechanics of solids such

as composite materials, micromechanics, fracture, plate and

shell theory, creep, computational solid mechanics, wave

propagation, contact mechanics. Prerequisite: Math 935-4

or permission of the instructor.

Math 940-4 Mathematical Elasticity

Analysis of deformation and motion. Balance laws, stress

and field equations. Cauchy and Green elastic materials.

Boundary-value problems. Incremental elastic deformations.

Elastic properties of solid materials. Prerequisite: Math

935-4 or permission of the instructor.

[Based on Chapters 1-7 of Non-Linear Elastic Deformations by

R.W. Ogden.)

Math 950-4 Tensor Analysis on a Differentiable Manifold

A first graduate course dealing with the following topics:

Tensor Algebra, tensor fields on differentiable manifolds,

differential forms, invariant problems in the calculus of

variation, metric field theory and Einstein's equations.

Prerequisite: Math 466-4 or permission of the instructor.

[Based on: Tensors, Differential forms & Variational

Principles by D. Lovelock & H. Rund (J. Wiley) 1975 ISBN -

0 - 471 - 54840-5.]

The new course proposal forms will be found in Appendix A.

I-)

---

12

.

Rationale.

The proposed course changes have been

prompted by the desire of faculty members working in

mechanics, numerical analysis, and related fields to offer a

more coherent program for students wishing to complete

graduate degrees with concentration in

Applied and Computational Mathematics

The subjects grouped under the heading include applied

analysis, differential equations, numerical analysis,

mechanics, fluid dynamics and mathematical physics.

The existing schedule of graduate courses was devised

before the Department had any expertise in numerical

analysis. Since the importance of numerical methods has been

-- - - - ---steadi-l-y--inc-reas-i-ng--over-the l-ast--two-decades7-rev-i-sing-our

course offerings to take account of the new context is

highly desirable.

The addition of Math 905-4 Applied Functional Analysis

is also necessary to bring our course offerings up to date.

We note that the External Review Committee which visited the

Department in 1989 was of the opinion that our course

offerings in Functional Analysis are not enough.

•

?

?

Another important element in the overall revision is

the introduction of two courses in fluid dynamics. Until

now courses in fluid dynamics have had to be offered under a

selected topics number which hardly does the subject

justice.

All the courses involved in the revision are being

given 900-numbers so that collectively the courses will be

more easily recognized.

.

13

---

13

I

.

(IV) Substitution of: Math 833-4 Analysis: Selected

Topics for Math 833-4 Real Analysis: Selected Topics.

Rationale.

As part of the revisions described in (III)

above, Math 838-4 Complex Analysis: Selected Topics has

been deleted. We would like to retain the option of

mounting a selected topics course in Complex Analysis by

changing the title of Math 833.

This change is contingent on the approval of the

changes described in III.

.

/41

---

14

(V) Graduate calendar entry for Applied and

Computational Mathematics.

It is proposed that the following entry be placed in

the graduate calendar to give an appropriate emphasis to

what the Department has to offer M.Sc. and Ph.D. students

interested in these

areas:

Applied and Computational Mathematics Program*

Location: ?

10512 Shrum Science Centre

Telephone:

?

291-3331

Chair:

?

A.R. Freedman, A.B. (Calif.),

Ph.D. (Oregon State)

The Program in Applied and Computational Mathematics is

one of the graduate programs offered by the Department of

Mathematics and Statistics.

FACULTY AND AREAS OF RESEARCH

G.N. Bojadziev

Differential equations; population dynamics,

controlled dynamics

A. Das

Variational techniques; interior solutions

in general relativity

G.A.C. Graham

Analytical and computational methods in

viscoelastic fracture and contact mechanics

R.W. Lardner

Computational fluid dynamics: oceanography,

asymptotic methods, nonlinear waves

E. Pechlaner

Relativistic continuum mechanics:

approximation methods, self-similar

spinning rods

R.D. Russell

Numerical an

?

numerical solution of

differential equations, dynamical systems

D.L.

Sharma

Boundary value problems in elasticity and

fluid dynamics

C.Y. Shen

Electromagnetic scattering; large-scale

scientific computing

E.M. Shoemaker

Environmental mathematics: glaciology.

Plasticity

M. Singh

Nonlinear fluid and solid mechanics:

magnetohydrodynamics

T. Tang

Fluid dynamics; numerical analysis

M. Trummer

Numerical analysis: differential

equations, integral equations

. ?

*The formation of an Institute for Applied and Computational

Mathematics has been proposed. Should the institute be

created appropriate changes would be made to the calendar

entry which would then appear under the Institute.

---

.

15

Admission

For admission requirements, refer to the Graduate

General Regulations.

Applicants are normally required to submit scores in

the aptitude section and an appropriate advanced section of

the Graduate Record Examinations of the Educational Testing

Service.

Applicants with backgrounds in areas other than

mathematics, for example, a Bachelor's degree or its

equivalent in Engineering or Physics may be considered

suitably prepared for these programs.

DEGREE REQUIREMENTS FOR M.SC. AND PH.D.

M.Sc.

Program

A candidate for the M.Sc. degree will normally be

required to obtain a total of 28 semester hours of credit

for course work beyond courses taken for the Bachelor's

degree. These 28 hours will consist of a core program

containing the

six

courses listed below together with a

further four hours of credit which may be at the graduate

level or at the 400 undergraduate level. The

six

core

courses are

Math 900-4 Advanced Mathematical Methods I

Math 901-4 Advanced Mathematical Methods II

Math 920-4 Numerical Linear Algebra

Math 922-4 Numerical Solution of Partial Differential

Equations

Math 930-4 Fluid Dynamics

Math 935-4 Mechanics of Solids

In addition to this course requirement the student will be

required to complete a project which will normally involve a

significant computational component and to submit and

successfully defend a report on that project. This project

is intended to be completed within about one semester.

Ph.D.

Program

A candidate for the Ph.D. degree will be required to

obtain at least a further 8 semester hours of credit for

course work in graduate level courses beyond the

requirements for the M.Sc. degree. Candidates who are

admitted to the Ph.D. program without completing an M.Sc.

degree will be required to obtain credit or transfer credit

for an amount of coursework equivalent to that obtained by

students who first complete an M.Sc. degree.

14

---

L

Candidates for the Ph.D. will normally be required to

pass a General Examination which will cover the subjects

treated in the

six

core courses listed in the M.Sc.

requirements. A candidate ordinarily will not be allowed to

take the General Examination more than twice. Students who

have completed a Master's degree will normally be required

to attempt the General Examination within one year of their

initial registration in the Ph.D. program.

A candidate for the Ph.D. degree will be required to

submit and defend a thesis based on his or her own original

work and which will embody a significant contribution to

mathematical knowledge.

Graduate Courses

Math 900-4 Advanced Mathematical Methods I

Hubert spaces. Calculus of variations. Sturm-Liouville

problems and special functions. Green's functions in one

dimension. Integral equations. Prerequisite: Math 314-3

or equivalent. Math 419-3 is recommended.

Math 901-4 Advanced Mathematical Methods II

• ?

First order partial differential equations.

Characteristics. Eigenfunction expansions and integral

transforms. Discontinuities and singularities; weak

solutions. Green's functions. Variational methods.

Prerequisite: Math 314-3 or equivalent. Math 418-3 is

recommended.

Math 902-4 Applied Complex Analysis

Review of complex power series and contour integration.

Conformal mapping, Schwartz-Christoffe]. transformation.

Special functions. Asymptotic expansions. Integral

transforms. Prerequisite: Math 322-3 or equivalent.

Students with credit for Math 836-4 may not take Math 902-4

for further credit.

Math 905-4 Applied Functional Analysis

Infinite dimensional vector spaces, convergence, generalized

Fourier series. Operator theory; the Fredholm alternative.

Application to integral equations and Sturm-Liouville

systems. Spectral theory. Prerequisite: Math 900-4 or

permission of the instructor.

Math 910-4 Ordinary Differential Equations

The solutions and properties of ordinary differential

equations and systems of ordinary differential equations in

the real and complex domains. Prerequisite: Math 415-3 or

is

?

Math ?

Students with credit for Math 842-4 may not take

Math 910-4 for further credit.

16

/7

---

I

17

to

Math 912-4 Partial Differential Equations

An advanced course on partial differential equations.

Topics covered usually will include quasi-linear first order

systems and hyperbolic, parabolic and elliptic second-order

equations. Prerequisite: Math 901-4 or permission of the

instructor. Students with credit for Math 845-4 may not

take Math 912-4 for further credit.

Math 920-4 Numerical Linear Algebra

Direct and iterative methods for the numerical solution of

linear systems, factorization techniques, linear least

squares problems, eigenvalue problems. Techniques for

parallel architectures. Prerequisite: Students with credit

for Math 850-4 may not take Math 920-4 for further credit.

Math 921-4 Numerical Solution of Ordinary Differential

Equations

Study of the practical numerical methods for solving initial

and boundary value problems for ordinary differential

equations. Prerequisite: Students with credit for Math 851-4

may not take math 921-4 for further credit.

Math 922-4 Numerical Solution of Partial Differential

Equations

Analysis and application of numerical methods for solving

partial differential equations. Finite difference methods,

spectral methods, iuultigrid methods. Prerequisite: Students

with credit for Math 852-4 may not take Math 922-4 for

further credit.

Math 923-4 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. Prerequisite: Students with credit for Math

853-4 may not take Math 923-4 for further credit.

Math 929-4 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 complex

analysis, special functions, numerical quadrature and

multiple integrals, constrained optimization, finite element

methods, sparse matrix techniques, or parallel algorithms in

scientific computing.

Math 930-4 Fluid Dynamics

Basic equations and theorems of fluid mechanics.

Incompressible flow. Compressible flow. Effects of

viscosity. Prerequisite: Math 361-3 or equivalent. Math

462-3 is recommended.

if

---

18

Math 934-4 Selected Topics in Fluid Dynamics

Study of a specialized area of fluid dynamics such as

hydrodynamic stability, multiphase flow, non-Newtonian

fluids, computational fluid dynamics, boundary-layer theory,

magnetic fluids and plasmas, bio-and geo- fluid mechanics,

gas dynamics. Prerequisite: Math 930-4 or permission of the

instructor.

Math 935-4 Mechanics of Solids

Analysis of stress and strain. Conservation laws. Elastic

and plastic material behaviour. Two- and three-dimensional

elasticity. Variational principles. Wave propagation.

Prerequisite: Math 361-3 or equivalent. Math 468-4 is

recommended.Students with-cred-i-t- -f or Math -88-3-4-may- not-

take Math 935-4 for further credit.

Math 939-4 Selected Topics in Mechanics of Solids

Study of a specialized area of the mechanics of solids such

as composite materials, microinechanics, fracture, plate and

shell theory, creep, computational solid mechanics, wave

propagation, contact mechanics. Prerequisite: Math 935-4 or

permission of the instructor.

Math 940-4 Mathematical Elasticity

Analysis of deformation and motion. Balance laws, stress

and field equations. Cauchy and Green elastic materials.

Boundary-value problems. Incremental elastic deformations.

Elastic properties of solid materials. Prerequisite: Math

935-4 or permission of the instructor.

Math 945-4 Plasticity

An introduction to the mathematical theory of plasticity.

Topics normally will include yield criteria and flow rules,

torsion and bending, plane strain solutions and limit load

analysis. Prerequisite: Students with credit for Math 890-4

may not take Math 945-4 for further credit.

Math 948-4 Continuum Mechanics

General introduction to modern theories of the mechanics of

continuous media. Topics may include linear and non-linear

elasticity, viscoelasticity, Newtonian and non-Newtonian

fluids and multipolar materials. Prerequisite: Students with

credit for Math 881-4 may not take Math 948-4 for further

credit.

Math 950-4 Tensor Analysis on a Differentiable Manifold

A first graduate course dealing with the following topics:

Tensor Algebra, tensor fields on differentiable manifolds,

differential forms, invariant problems in the calculus of

variation, metric field theory and Einstein's equations.

'/9

---

'•

Math 960-4 Mathematical Foundations of Quantum Mechanics I

Historical introduction; Minkowskian space-time and Lorentz-

group; brief review of multilinear algebra; representation

of Lorentz group in tensor spaces; representation of Lorentz

group in spinor spaces; irreducible representations of

Lorentz group; relativistic wave equations. Study of Lie

group generated by elements of Lorentz group in neighborhood

of identity. Prerequisite: Students with credit for Math

885-4 may not take Math 960-4 for further credit.

Math 961-4 Mathematical Foundations of Quantum Mechanics II

Hubert space; closed linear manifolds; operators in Hubert

space; eigenvalue problems; Hubert space representation of

Lorentz group, quantized fields. Statistical

interpretation; uncertainty principle, measurement

processes. Prerequisite: Students with credit for Math 886-4

may not take Math 961-4 for further credit.

Math 964-4 General Relativity I

Historical introduction; review of tensor calculus in

pseudo-Riemannian space. The world function w(X,X

1

) and

chronometry; pseudo-Riemannian space-time; the material

continuum and Einstein's field equations. Differential and

universes

integral conservation

with spherical

laws

symmetry

and equations

and application

of motion;to

?

40

planetary systems; statical universes; stationary universes.

Prerequisite: Students with credit for Math 887-4 may not

take Math 964-4 for further credit.

Math 965-4 General Relativity II

Further studies of pseudo-Riemannian geometry; tetrad

formalism and Ricci rotation coefficients; Petrov's

classification of special Einstein spaces X

4

. Gravitional

radiations; coupled electro-gravitional universes; combined

K

lein-Gordon-Maxwell-Einstein field equations; comments on

geometrodynainics. Prerequisite: Students with credit for

Math 888-4 may not take Math 965-4 for further credit.

Math 990-4 Selected Topics in Applied Mathematics

See also MATH 800-899 listed under Department of Mathematics

and Statistics on page xx and STAT 801-890 listed under

Statistics Program on page xx.

.

---

20

I

Rationale.

The new calendar entry reflects above all

the Department's wish to give adequate exposure to what it

can offer students interested in applied mathematics and

numerical analysis. At the same time the proposed entry

reflects the intention to give more structure to the program

followed by students who select the option of Applied and

Computational Mathematics. In the M.Sc. more emphasis will

be placed on course work and less on the thesis which will

now be called a "project". Another element

which

has been

incorporated in the M.Sc. is the insistence that all

students gain some experience in the application of

numerical methods.

TheDepartnient berives that

-

thechange informatof

the M.Sc. will provide a better training for students and

will make better use of faculty.

The appropriateness of a separate graduate calendar

entry for Applied and Computational Mathematics is supported

by the existence of a corresponding entry for Applied

Mathematics in the undergraduate section of the calendar.

The inclusion of "Computational" is intended to underline

the importance attached to integrating the application of

numerical analysis with the study of other areas in applied

mathematics.

The Ph.D. program described in the new calendar entry

is virtually the same as that

which

has existed for many

years. The main difference is that the syllabus for the

General Examination will be based on the six core courses

listed in the M.Sc. requirements.

The revision of the M.Sc. regulations for students in

Applied and Computational Mathematics does not constitute

the introduction of a new program. Given the course changes

proposed in III above the changes to the M.Sc. for this

stream of students could be implemented under our present

calendar entry through the cooperation of Supervisory

Committees. However, this remark should not be interpreted

as diminishing the need for a separate calendar entry which

is essential for the healthy operation and growth of this

part of the Department's program.

9

Q1

---

5I1I0N Ii(AI;n LJNIVI'IT•(

flew Graduate C

p uri

•

Prmnnni. worm

?

,

peric/Lr

CALLII)AR JNVOR.'IATION

?

.

Department:

?

Mathematics and Statistics ?

Coi'rne Nuinlier:

Math 833-4

Title: ?

Analysis: Selected Topics

Ucacript

Credit Hours:

?

4

?

_

Vector:

?

400

?

J'scre(iuinite(e) If n,iv:

i:Nnou.u:NT

AND SCIIF.D11I.1N(:

Estimated I:iiroiiment:

?

12 ?

When wili the cnure lir

.

t

hr .

offered:

When required?

How often will Lite course be offered:

Irregular Intervals.

JusTIrIc,\Tro:J:

This isaretitlirigof Math 833-4 whose present title is "Real Analysis: Selected

Topics".Therevisedtitlewillallowittobeusedforaselectedtopicscourse

in any part of Analysis.

?

-

Rr.OuflCI:S:

Which Faculty member will normally teach Lite cournc:

Freedman, Thomson and others.

What are Lite budgetary implications of mouulLinR tile courne:

?

Nil

Are there nuffictnt Library rcnourccn (anuend

dctnlln):

Yes

Appended: a) OutlIne of Lite Course

b)

An Indlcat

kisI

or

the canine tence of the Faculty ninher to vIvr the courac.

c)

Library resources

Approved: Departmental ;rs.duate StUdIell CommLtti:e:

?

¶1I/-

L_-i

l)iILc

21±jOS/9c

Faculty Graduate tudien

Co:rjnittrc:______ _____________ftntc:_______

Faculty:

_C4*%4

'3DJ

VD

?

Date:

kk O9

-Senate Graduate Studirn

?

I)nte:

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Grnduntc

Coir,: )'rIT1on1 rorm

S

?

CA1.t4I)AR I NOR.9ATIO1

Department:

Mathematics and Statistics

Cnurne

Number:

?

Math 900-4

Title:_____________________________________________________________

Advanced Mathematical Methods I.

Description:

Hilbert spaces.

?

Calculus of variations.

?

Sturm-Liouville

problems

and special

functions. ?

Green's

functions in.one

dimension.

?

Integral

equations.

Credit Hours:

4 ?

Vector: ?

4-00

Prerequlnite(c) ?

if

nnv:_

l43

or..equivalent. Math

419-3

is recommended.

- ?

INnoLIu;N-rANI--.ccIIEnIu.-l-Nc_:------- -

Cstlmaicd Enrollment:

?

15-20

?

When will

tht

course firci.

be

Of

fered:

?

903 or 91-1

How often will

the

course be offered:

Once every two years.

^ 0

JUSTIVIC,\TIOi: Every student for an M.Sc. or Ph.D. in

Applied and Computational

Mathematics will be required to obtain credit for this course. It

should

also appeal

to students in Mathematics, Science and Applied Science. Math 900-4 is a replacement

for Math 843-4. ?

-

RESOURCES:

Slien, Singh & others.

Which Faculty member will normally teach the

course:

What

are

the

budgetary Im

p

lications of

mountin

g

the couree: ?

Nil

Are

there

nufflclvnt Library

rcaourccn (nnncnd detnile): ?

Yes

Appended:. a)

out

line of the Course

b)

An

I ud I cat I on

of

the

com p e

tence of the FacultY murnbe

r

to Ri

ve

the COII!1

e.

c)

Librory rCource9

Approved:

I)vpnrtmcntiil

crtiduate

Studies

Committee: ?

G

i' t(

L--&--1-1-..

flute:

?

I

Faculty Graduate

Studico

Corjnittvc:

?

I)atc: ?

I?

Faculty: ?

cA1A.

?

O-%9_,

?

note:

It

Od

• Senate Graduate Studies ?

1)ate:27

Senate:

---

SHION F1ASI;fl tJNIVI'IT?

New Crndunte Cn,r

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CAI.LN

I)AR J N

?

I ON :

Mathematics and Statistics

?

Math 901-4

Department:

?

Co,r,e N,mher:

Title: ?

Advanced Mathematical Methods II

Description:

First order partial differential equations. Characteristics. Eigenfunction

expansions and integral transforms. Discontinuities and singularities; weak solutions.

Green's functions. Variational methods.

Credit Hours:

?

4

?

Vector:

?

4-0-0

?

Prerequlnite(c) 11 an y :

Math 314-3

or equivalent. Math 418-3 is recommended.

i:uioit.'ii:i

ANt) scIIEnvI.JNr.:

CatlnatcJ Iirollmcnt: ?

1520

?

When

will

the course rsrt

he.

offere(l:

?

91-3

Nov often will

Lite

course be offered: ?

Once every two years.

JUSTIFIC,TI0.:

Every student for an M.Sc. or PhD. in

Applied and Computational Mathematics

will be required to obtain credit for this course. It should also appeal to students

in Mathematics, Science and Applied Science. Math 901-4 is a replacement for Math

84

brAh'I,tI?..

Which Faculty member will normally teach Lite course:

Das, Pechlaner and others.

What are Lite bud

g

etary Implications of mounting the course:

?

Nil

Are there sufficient Library resources (anncnd

details):

?

Yes

Appended:, a) Outline of Lite Course

b)

An Indication of Lite comnetence of Lite Faculty member to give the course.

c)

Libriiry resources

Approved: Dc

'

pnrtmcntiil (rnduate Studlon Committee:

?

c( W_&I),,tr:

2/o Jo

Faculty Graduate Studies corjnittr.c:__._Q.

Faculty: ?

C,1c ' c_'v

"

b'

?

flti to: __V.C.f

'\O

.Senntc

Seneto:

Graduate Studien

?

t)ntr

?

I.

/

.

---

S iiiO1 nAc I:R

flew Grntlunte Cwr .

e 1'r(u'(I?n1 morm

CAt.L40AR I 4 OR..1AT I o:i

Department: ?

Mathematics and Statistics -

?

Courric Number:

?

Math 902-4

Title:

?

Applied Complex Analysis

Description:

Review of complex power series and contour integration. Conformal mapping,

Schwartz-Christoffel transformation.

Credit IIour ?

-- ?

4

Special functions. Asymptotic expansions. Integral

--

?

transtorms.

Vector:

4-0-0

?

Prereiulni t.(c) if nsv:

Math 322-0

or equivalent.

ENROLLMENT AND SclIEnI.I.:

CatlnatcJ Enrollment:

?

12 ?

When will the course first be ourere

ti :

When required.

How often will the course be offered. ?

Irregular intervals.

JusT1rlc,T10:4: This

course will be available for elective credit to M.Sc. and

Ph.D.

students

in

Applied and Conrputational Mathematics.

It should also appeal to students in Mathematics

Science and Applied Science. Math 902-4 is a replacement for Math 838-4.

Rr.sow(cIs:

WbIcli Faculty member will normally teach the courne:

Shoemaker, Trummer and others.

What are the budgetary Implications of mountin

g

the courac:

?

Nil ?

-

Are there sufficient Library rcnourcen (annend detnila): ?

Yes

Appended:. n) Outline of the Course

b)

An Indicat lois of the com

p

etence of Lisa Focul ty member to give the courne..

c)

Library resources

Approved: h')tpnrtmentisi Gruduate Studien Committee:

?

( ?

/• ?

.&c.i)iste:

2jCi/D

Faculty Graduate Studic Cmrjnittrc:

'P ?

fl:uc: ___________

Faculty:

?

. ?

-

CkV

?

Date: \\

fl

?

Senate Graduate SLudlin ?

Date! __

2

Senate: ?

flail r:

-

?

.

---

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New 'rndinte Coirii' lr t'on I rorm

CA I.LN lIAR I

1 voIt9n •

r i

?

S

Department: ?

Mathematics and Statistics

?

Connie Niuinhuer:

Math 905-4

Title:

Applied Functional Analysis

Description:

Infinite dimensional vector spaces, convergence, generalized Fourier series.

Operator theory; the Fredhoim alternative. Application to integral equations and Sturni-

Liouville systems. Spectral theory.

Credit Hours:

?

Vector: ?

4-0-0

?

l'rcrequlni

?

Math 900-4 or?

permission of the instructor

I:uoLI.rNTANDscIIr.nIu. IN('.

Catlnat.cd lnrollment: ?

_

?

12

When will Lite cnurc flint he offered:

?

When required

How often will the course be offered:

Irregular intervals.

This course will be available for elective credit toM.Sc. and Ph.D. students

JUST1I1C,i1O.4:

in

Applied and Computational Mathematics.

It should also appeal to students

in Mathematics, Science and Applied Science. "A Review of the Department of Mathematics

and Statistics" performed in March 1989 noted the absence of a graduate level course

Functional Analysis and stated that such a central area should be offered to graduat

students. The proposed course will remedy this defect'.

Rr.50U1tCI::

WhIclo Faculty

member will normally teach Lite cournc:_

Lardner, Shen & others

What

are Lite budgetary Implications of nountlnR the courne:

?

Nil

Are there nuf[icient

Library renourcen (nnncnd details):

?

Yes

Appended:, n) Outline of Lite Cnurr.e

b)

An hid I cut Ion of Lite comne tcncn of Lite Fucul t

y

mimler to Rive the

courne.

c)

Libriiry raourceg

Approved: flepnrtmentnl Graduate tud1cn

Committee:

?

flute:

?

)L& ]O

Faculty

Graduate Studies Conjnittrc: ?

-

?

flute:

Faculty:

Graduate

?

Studiin

?

C,k\

'

Qr1)nt:

h)nte:________

t\_

?

.

Senate!

?

-

?

_•

N11 r:

---

p

51110N n(AsI:R ui i

?

iv

flt.i

rn(*intc Course 1'rti;ip

ui1 rorm

.

?

CAI.L1I)AR 1

Department:

?

Mathematics and Statistics

?

Coirnc Nimbnr:

Math 910-4

Title: ?

Ordinary Differential Equations

Description:

The solutions and properties of. ordinary differential

e

quationsandsystems of

ordinary differential equations in the real and complex domains.

Credit Iloura:

4 ?

_Vector: ?

4 -0-0

P

rereiuinite(c) If any:

Math 415-3 or

equivalent. Students with credit for Math 842-4 may not take Math 910-4 for further credil

i:uIoLLIr:T AND

SCIIEflIIL 1.NC:

Estimated Enrollment: ?

12

?

%Jiien will dir. course I Irt be offered:

?

When required.

flow often will the course be offered:

Irregular intervals.

2usnr1c;rI0:: This course will be available for elective credit to M.Sc. and Ph.D. students

in

Applied çznd Computational Mathematics.

it should also appeal to students in Mathematjc

Science and Applied Science. Math 910-4 is a renumbering and retitling of Math 842-4.

Which

Faculty

member will normally

teach the cournc:_

-.

Bojadziev, Sharma and others.

What

are the

budgetary implicatlona

of mountin g the

courac: ?

Nil

Are there ,uf(icIent Library rconrcen (anncnd

detatla):

?

Yes

Appended:. n) Outline of the Course

b) An indicativn of the comnetence of the Fnctiltv nmbcr to ejve the course.

c)

Library resources

Approved: Depnrtmentiil Graduate Studien Committee:

?

i

?

Pate:

?

i1_J(

?

/ 9 G

Faculty Graduate Studies Cor.mlttcc:

?

fl8tc:

Faculty: ?

note:

\

\

0

dv

'Sj

-Senate

Graduate StudJt'n Committee:S

?

I)nt')

Senate!

?

Pole:

---

SIflON rHA;l:R UN I 'C.S I TI

fle

w

rndunte_ Course rrtI(Iia!rorm

CAIINI)AR

I NVORNAT ION:

Department: ?

Mathematics and Statistics -

?

-. _Cn;srneNumber: Math

912-4

Title:

Partial Differential Equations

Description:

An advanced course on partial

-

differential equations. Topics covered usually

will include quasi-linear first order systems and hyperbolic, parabolic and elliptic second-

order equations.

Credit 11ouru:

4

?

_

Vector: ?

4-0-0

?

I'rereiuinite(c) 11

nnv:

Math

901-4

or

permission of the instructor. Students with credit for Math

845-4

may not take Math

912-4

for further credit.

I:URoIj.tI:NT ANI)

SCIIEflI?I.I NC'.:

EUnatcd I:nrollment: ?

12

?

When

will

the course first

be

ollereti: When required

How often

will

Lite

course be

offered:-

Irregular intervals.

JusT1rIc,r10:: This course will be available for elective credit to M.Sc. and Ph.D. students

in

Ap

p

lied-and Computational Mathematics.

It should

also

_pp

?

students in Mathematics,

Science and Applied Science. Math

912-4

is a renumbering and retitling of Math

845-4.

RF.!OURCE:

Which Faculty member will normally teach Lite cournc:.Das

1

Sharma and others.

What

are Lite budgetary implications of mountin

g

the courne: ?

Nil

--

Are

there nuIficttnt

Library

reourcen (anncnd details):

?

Yes

Appended:. n) Outline

of

Lite Cnure

b)

An indicat

ho,;

of

the

comnetcncc

of

Lite

Faculty rn;mhcr to

Rive

the course.

c)

Librury resources

Approved: Dcpnrtmc;;tnl Graduate

Studien Committee:

?

. ?

JO

g

J

Q

Faculty Graduate Studies

Cor.,nittcc: ?

S.rc1j_.Q

?

nitc:

Faculty: ?

_

4zc1r..

_Date:'

-Senate Graduate Studien Com,nittee!Q.

?

-

?

h)nte:)

Senate

Ila

---

51110N FRASER UN

I

\'E' lit

New Grndinte Ciur

.

i.

rroncini mm

n

?

CAI.LNI)AR I NVOR.'IATION

Department: ?

Mathematics and Statistics

?

Courne Ni,mlier:

Math 920-4

Title: ?

Numerical Linear Algebra

Deacriptioui:_

Direct

and iterative methods for the numerical solution of linear systems,

factorization techniques, linear least squares problems, eigenvalue problems. Techniques

for parallel architectures.

Credit Hours:

?

4_Vector: ?

4_p_0

l'rerequinitr(c) If an y :

Students with

credit for Math 850-4 may not take Math 920-4 for further credit.

AND ScIIErnti.JNG: - - -

EatImtcd

Enrollment:

15-20

?

%4)icn

w

ill thin courc first. be

ollered:

91-3 or 92-1

how often will the course be offered:

Once every two years.

JtISTlVlC;ilOA:

Every student for an M.Sc. or Ph.D. in

Applied and ConTputational. Mathematics

will be required to obtain credit for this course. It should also app

eal

to students in

• Mathematics, Science and Applied Science. Math 920-4 isarenumberirigof Math 850-4.

RESOURCES:

Rusel1, Trummer and others.

Wbicli Faculty

member will normally teach the

courne:_-.

What are the budgetary impitcationa of mountin

g

the courac: ?

Nil

Are there

nuffict *

nt Library rcnourcen

(anncnd detahiB): ?

Yes

Appended:. n) Outline (ii the (:ouree

b)

An indication of the com

p

etence of the Faculty member to g

ive the

(OUIpm.

c)

Library resources

Approved: Depnrtmciitiil(rnduate Studien

Committee: ( ?

I),sLc: ?

_____

Faculty Graduate Studico Cn:rjnitlmc: ?

IRile:

?

3

Faculty:

??

-

Dote:

yt

ci-

't3

.Scnntc Croduate Studimn Comm It

?

t

Senate:

?

I)siI r:

MEN

- ?

...

---

S1110- 1

1 fltA5;In

UN I

'cL:;

Ti

New Crndiinte Course I'r(l

p o?n1 rorm

CAI.L:UI)AR J NoR'tNr ION:

?

.

Department:

Mathematics and Statistics

?

_Courne

Ntiml'er:

921-4

Title:

Numerical Solution of Ordinary Differential Equations

Description:

Study of the practical numerical methods for solving initial and boundary value

problems for ordinary differential equations..

Credit Ilourt:

?

Vector:

?

400

?

PrerequJviite() If wiv

,

Students with

credit for Math 851-4 may not take Math 921-4 for further credit.

I:uuoI.LNr:T AND SCIIEDtII.

I N(

taticiate1 I:nrullment: ?

1520

?

When will the course fIr

•

t he offered:

flow often will the course be offered:

-

Once every tw

o

years.

JusrIrIc,vrIo::

This course will be available for elective credit to M.Sc. and Ph.D. students

in

Applied and Computational Mathematics.

it should also appeal to students in_Mathemat-cs,

Science and Applied Science. Math 921-4 is a renumbering of Math 851-4.

Which Faculty member will normally teach the courne:

Rqssell, Trummer and others.

What are the bud g

etary Implicatlone of mountinR the courac:

?

Nil

Are there aufficlent Library reRourcea (annend .Ietnile):

Yes

Appended:.

n)

Outline of the Course

b)

An lndlcatloii of the coninctence of the Facult

y

nimhcr to

g

ive the courne.

c)

Library resources

Approved:

I)epnrLmcntnl

(;rnduate Studies Committee:

(_e

W

Faculty Graduate Studico Cor.mittrc:

?

bie:

13

Faculty:

?

C#cr'&•'

QAIJ

,

,

(

cj-

£110

?

.

?

-Senate Graduate Studlen Committee

, ?

Date:_________

Senate:

?

Dote:

---

S1 110.'l fl:A; i:n UN I 'i:' 11?

?4CJ 'tn(liit ?

CP()rv )'roT(Inl rorm

.

CAI.L:4OAR IN FOIt'IAT ION

Department:

Mathematics and Statistics

?

Cotirne tII:

Math 922-4

Title:

Numerical Solution of Partial Differential Equations

Description:

Analysis and application of numerical methods for solving partial differential

equations. Finite difference methods, spectral methods, multigrid methods.

Credit hours:

4

-

?

Vector:

4-0-0

-

Pre.requlnitc(c) If an y

:

Students with

credit

for Math

852-4 may

not take Math 922-4 for

further credit.

Cntinatcd

I:Nnnu.w.NrANo_scIIr.rn'J.INr.:

Cnrollmcnt:_

15-20

??

- ?

When

.'Ili the

?

(Jrt

--

he offered: 90-3 or 91-1

How often will the course be offered:

Once

every two years.

JusTInc\TI0:4: Every student for an M.Sc. or Ph.D. in

Applied and Computational Mathematics

will be required to obtain credit for this course. It should also appeal to students in

Mathematics, Science and Applied Science. Math 922-4 is a renumbering of Math 852-4.

RESOURCE:

Which Faculty member will normally

teach the course:

?

Lardner, Russell and others

What are the budgetary implications of mountin

g tha course: ?

Nil

Are

there nuffictcnt

Library

rcaourcea (annend details): ?

Yes

Appended:. a) Outline of the Course

b)

An indication of the comnete.nce of the Facult

y

member

to

g

ive the curae.

c)

Libriiry resources

Approved: 1)pnrLmentii1 (;rnduate 5tudicn Committee: (

?

W. ?

flntr: _

)

C

Faculty Graduate Studies

Co:rjnittrc:

?

P. Se,e._.__ ?

_DaIc:

Faculty: ?

c\-' ?

.)v--•)

?

flntc:

Senate Graduate Studies ?

27

_

Senatai_

?

-

-

1),utr:

- ?

.

---

511I0N FRA;I;R JNI'I".I1(

Nei Crndtintc

Courn )'rt'no

q

nl mm

CAI.LUI)AR I POR.1AT I 01

?

El

Department: ?

Mathematics and Statistics

?

_Cnirnc Numlier:

Math923-4

Title:

NumericalMethodsinContinuousOptimization

Ucocription:

Numerical

_solution ofs

y

stems_of nonlinear _eguatJns _and_unconstrained

optimization problems. Newton's method, Quasi-Newton methods, secant methods,and conjugate

gradient algorithms.

Credit Ilourn:

4_

Vector:

_4_p_p

Prerequinite(c) 11 nnv:

Students with

credit for Math 853-4 may not take Math 923-4 for further credit.

I:uI(oi.iIrmciIr.nhrl.

I.NC : ?

-

CAtIn3Led I:inollmcnt:

?

12 ?

When will the course first he ollered:

IIov oftcn will the course be offered:

?

Once eyy two years.

JtIsTIrIc,T10:4:

This course will be available for elective credit to M.Sc. and Ph.D. students

in

Applied and Computational Mathematics.

it should also appeal to students in Mathematics,

Science and Applied Science. Math 923-4 is a renumbering of Math 853-4.

Drmnhtnrr'.

Which Faculty member will normally teach Lite courne:.

Russell, Trummer and others.

What are the budgetary implications of mountin

g

the courec:

?

Nil ?

--

Are there nu(fic1iit Library resources (a pp

end details):

?

Yes

Appended:. a) Outline of Lite Course

b)

An Indication of Lite com p

etence of Lite Facult

y

number to give the courac.

c)

Libritry resources

Approved: flcpnrtmcittail (r4Iduate Studies Committee: ('

?

L_t

?

t)ntr:

Faculty Graduate Studice Co:rjnittrc:

?

n:uc:

Faculty: ?

- ?

Dote: __

Senate Graduate Studies Committee:

?

1)nte!

Senate2

---

SItION FRASIR (IN I VI" I TV

flew

Crndnnte Cnur• rrot

'

onl Form

CALLII)AR

j

voi.'iArioi

Department:

Mathematics and Statistics

?

Cntirqc Number:

Math 929-4

Title:

Selected Topics in Numerical Analysis

Study of a speialized area of numerical analysis such as computational fluid

Description:

d y

namics, approximation thory. inte

g

ral euations, inte.gr1

fransfcrms,

computational complex analysis, special functions, numerical quadrature and multiple

integrals, constrained optimizatio

n,

f

inite element methods, sparse matrix techniques, or

parallel algorithms in scientific computing.

Credit Hours:

?

4

?

Vector: ?

4-0-0 ?

Prerequisite() if

niiv:

Cstlrn3Led Enrollment:

?

12

When will the course first he oIIereI:

When required

How often will Lite course he offered:

?

Irregular intervals.

This course will be available for elective credit to M.Sc. and Ph.D. students

in

Applied and Computational Mathematics,

it should alsopp

?

o.tudents in Mathematics

Science and Applied Science. Math 929-4 is a renumbering of Math 855-4.

RESOURCES:

Which Faculty member will normally teach Lite cournt:_

Russell,

Trummer and others.

What are Lite budRetary implicationa of mountin

g

Lite courne:

Nil

?

--

Are there nu[fLcient Library resources (annend dettln):

?

Yes

Appended:. n) Outline of Lite Course

b)

An IndICOL1011 of Lite comncte.nce of Lite Fncul Lv member to give the course..

c)

Library resources

Approved: I)cpnr Lmcntnl Graduate S tudien Comm I t tee:

Faculty Croduate Studice Cox.mittrc:

?

iIv:

ri

Faculty:

-Senate Lroduatc Studies ?

— ?

I)nte:

2)

Senatsi_____________

1)su I r:

3.

---

SiON I1tA5I:R ul I VI

?

I TI

New Grndunte Cnurn' Irct'(I?u1 1 mm

CAI.L41)AR I OR1ArIoI

?

S

Department: ?

Mathematics and Statistics

?

Number:

Math 930-4

Title:

Fluid

Dynamics

Description:

Basic equations and theorems of fluid mechanics. Incompressible flow.

Compressible flow. Effects of viscosity.

Credit lloure: ?

4

?

Vector: ?

400 ?

T'rerequiAite(c) 11 nnv:

Math 361-3 or

equivalent. Math 462-3 is recommended.

I:NI(o.IcNTANDscIIr.rntI.nr.:

Cntlm3Lcd I;nrollment: ?

15-20

?

IThen will the course first. he offered

?

90-3

how often will

Lite

course be offered:

?

Once every two years.

JusTlrlc,T10:1: Every student for an M.Sc. or Ph.D. in

Applied and Computational Mathematics

will be required to obtain credit for this course. It should also

app

e

al to students in

Mathematics, Sciences and Applied Science. Math 930-4 is areplaceinent for Math 8824

.. ?

RF.SOURCIS:

Which Faculty member will normally teach Lite courne:

Sinh

Tao and others.

What are Lite budgetary impltcntionn of mountin

g

the

courne: -

?

Nil

Are

there nuuficttiit Library rcnourcen (a

pp end

detnila): ?

Yes

Appended:.

n)

Outline of Lite Couree

b)

An Indication of Lite comnetence of

Lite

Fncu t

y

nwnhcr to give the courne.

c)

Library resources

Approved: flcpnrtmentiil Criiduate tudlen ComznLtte:

?

61.

Faculty Graduate Studies CmrjnitLr'c:

?

-

?

_'&,LIhitc:?

___

Faculty: ?

kçV .'

?

note:

.Scnntc Graduate Studli'n

?

I)nte: Q

Senate:

?

t)iitp

—%

.1

---

51 ION HAS ER UN I \'C". I TI

.

?

CAXNHAR i

NvoRtArioN

flew Crndinte Cour

.

Prtinonl rorm

Department:

?

Mathematics and Statistics

?

Cntirie NumIir:

Math 934-4

Title:

Selected Topics in Fluid Dynamics

Description:

Study of a specialized area of fluid dynamics such as hydrodynamic stability,

multiphase flow, non-Newtonian fluids, computational fluid dynamics, boundary-layer theory,

magnetic fluids and plasmas, bio-andgeo-fluid mechanics, gas dynamics.

Credit Hours:

? 4

?

Vector:—

4-0-0 -

?

l'rnrequinite(c) it an

y :

Math 930-4 or

permission of the instructor.

I:uKoI.L,t,:NTAND SCIIF.DIICINC.:

?

-

Est1nLci I:nrollmcnt: --

?

12 ?

When will the course first be offered:

When required

How often will Lite course be offered:

Irre

q ular

intervals.

JUSTIFICATION: This course will be available for elective credit to M.Sc. and Ph.D. students

in

Applied and Computational Mathematics.

It should also appeal to studentsinMathematics,

ScienceandAppliedScience.Math934-4isareplacementforMath 891-4.

RISOURCE!:

Which Faculty member will normally teach Lite courne:_ Singh, Tao and others.

What are Lite budgetary implications of mountin g the courac:

?

Nil

?

--

Are there nufficlent Library rc9ourcen (nnncnd details): ?

Yes

Appended:. n) Outline of the Course

b)

An Indicat iii of Lite com p etence of Lite Facult

y

member to v.ivr the ctire.

c)

Library rCuurces

Approved: Ppnrtmcut.il Graduate Studies Commtttee:

?

Ii-

?

I)utv ?

__________

Faculty Graduate Studies Cotmittce.:

?

zue:

13

.fe,i—

Faculty:

??

(k¼'(.

?

i.)r-?

Date,

\\ C)c:I-.!.k')

.Scnntc Graduate Studien

Com1nit

tee

:_r____.

Senate:

?

fbi

C:

35

'

a ?

-

?

.

---

51110.'l FItAS cit u i

?

CAIXII)AR I NVOR.'IAr ION

New Graduate

Cnure

rru''nl mr0

?

1]

Department: ?

Mathematics and Statistics

?

Course Number:

?

Math 935-4

Title: ?

Mechanics of Solids.

Description:

Analysis of stress and strain. Conservation laws. Elastic and plastic material

behaviour. Two- and three-dimensional elasticity. Variational principles. Wave propagation.

Credit hours:

4

Vector:

4-0-0

_PrerequiaRe(s) if any:

Math 361-3 or

equivalent. Math 468-4 is recommended. Students with credit for Math 883-4 may not take

Math 935-4 for further credit.

I'M ROLL'II.T AND SCIIFJ)III.1 N(.:

Cat1mtcd Enrollmcnt:_

15-20

?

When will the course flrct be offered

?

913

hew oftcn will the course be offered:

?

Once every two years.

JuSTIrIC,\TI0:4:

Every student for an M.Sc. or Ph.D.. in

Applied and Computational Mathematics

will be required to obtain credit for this course. It should also appeal to students in

Mathematics, Science and Applied Science. Math 935-4 is a replacement for Math 883-4.

RItSOURCI.S:

Which

Faculty

member will normally

teach the course:

Sharma,

Singh and others.

What

are the budgetary Implications

of mounting the

courne:

Nil

Are there suE (Ic Lvnt Library resources (anncnd details):

?

Yes

Appended:

n)

Outline of the Course

b)

An mdi cat kin of the com

p etence of the Factil Lv rwmbcr to stive the course.

c)

Library resources

Approved: Dcpnrtmettnl Graduate Studies Commit tee:

?

PoLe: ?

/7

Faculty Graduate Studies Corjnittrc: ?

Pjc___

?

Pate:

Faculty: ?

. ' Q-'4.-

?

ne:

.Senate Graduate

Studies

Committee: ?

I)ntr:2)

Senatet

A

---

silioi FBASI:I( 11NI'II1V

tcw rn(I(Inte Ciure rrPfl(1?%nl mm

CAIXUI)AR 1FORATlO:

Department:

?

Mathematics and Statistics

?

Cnur.e Number:

Math 939-4

Title: ?

Selected Topics in Mechanics and Solids.

Description:

Study of a specialized area of the mechanics of solids such as composite

materials, micromechanics, fracture, plate and shall theory, creep, computational solid

mechanics, wave propagation, contact mechanics.

Credit Hour*: ?

4

?

Vector: ?

4-0-0

?

Prerequlni . c,

?

If n,,:

Math 935-4 or

permission of the instructor.

I:NnoLLw.NT ANI) SCIIJ111J.INC.:

Catimatcd Enrollment:

?

12

?

When

will

tbe course first ),r oirere

( i: ?

When required

How often will the course be offered:

?

Irregular intervals.

JusTirlc,vrlo:J: This course will be available for elective credit to M.Sc. and Ph.D. students

in

Applied and Computational Mathematics.

it should also appeal to students in Mathematics

Science and Applied Science. Math 939-4 is a replacement for Math 892-4.

?

—

RF. SOU RC(5:

Shoemaker, Lardner and others.

Which Faculty member will normally teach the courne:_.

?

--

What are the budgetary Implications of

mountin g

the courne: ?

Nil ?

—

Are there nutuic1ut Library resourcen (annend detatle):

?

Ye

Appended:.

n)

Outline of the Course

b)

An indicativn of the com

p

etence of the Faculty member to give the courie.

c)

Library resources

Approved: 1)cpnrLmcntnlG411duatcStudicnCommttt:e:

Faculty Grn(Junte Studies Corjnittrc:

Focu ity: ?

k4• "

?

.Ai')

Dote:___________

. ?

Senate Graduate StudJtn ?

-t)ntr ).-)

Senate ?

:

37

.4

?

- ?

...

?

-

•0•

---

S I LION FRAS ER UN J VI' I It

New GrndOnte Course Prt'n('lnI morm

CAI.I:NI)AR i

?

Nt ION:

?

.

Department: ?

Mathematics and Statistics

?

Cnnric Number:

Math 940-4

Title: ?

Mathematical Elasticity

Description:

Analysis of deformation and motion. Balance laws, stress and field equations.

Cauchy and Green elastic materials. Boundary-value problems. Incremental elastic

deformations. Elastic properties of solid materials.

Credit Hours:

?

Vector:

400

?

rrerequin1te(!) r n

ii v:_ 1h_935-4

or

permission

of

the instructor.

NRoI.I,Ir:NT

AND SCIIEflflJ.J N(

Ent1maici I:nroilment:

?

12

?

When will the course first

?

oIIere(I: When required

Nov often will the course be offered:

?

Irregular intervals. -

JUSTIVICI\TIO:J: This course is available for elective credit to M.Sc. and Ph.D. students in

Applied and Computational Mathematics.

it should also appeal to students in Mathematics,

Science and Applied Science. Math 940-4 is a replacement for Math 884-4.

RESOURCES:

Which Faculty member will normally teach the courne:

?

Lardner, Singh and others

What

are

the

budgetary implicntione of mountin

g

the courne: ?

Nil ? -

Are there uufficttnt

Library resource (annend

dctntln): ?

Yes

Appended:.

n)

Outline

(it the Course

b)

An

mdi cat

c'n

of the comne

tence

of the

F

g

icul

Lv

inmhcr to

g ive the courne.

c)

Librtiry resources

Approved: Dcpnrtmct:tiil (ruduate

Studien Commltte:

(7 é1L

?

*)sste:

?

)

q0

Faculty Graduate Studies

Corjnittre: ?

P.L).P..re,_,...Q ?

P:ilc: ? ____

Faculty:

?

(1A. -Q-9-

?

\.

.Senate Graduate Studli'n

?

I)nte

Scnata1 ?

not

tc:

---

SI1I0N F(A5;I:I( wI'IITy

New rndtinte Course Pro,,c1? *

ni

rem

0

?

CAI.1'lI)AR J N }OR.9AT I ON :

Department: ?

Mathematics and Statistics ?

Cn;ire Number:

Math945-4

Title:

Plasticity

Description:

An introduction to the mathematical theory

—

of plasticity. Topics no mally will

include yield criteria and flow rules, torsion and bending, plane strain solutions and

limit load analysis.

Credit

Hours:

?

_

_

Vector: ?

400

?

_Prerequ11 te(c)

it niiv:

Students with

credit for Math 890-4 may not take Math 945-4 for further credit.

_,;NI(ol.1.'ICNT ANI) SCIIEI)III.JNC.:

CatIcatcJ Enrollment:

?

12

?

When

viii the course first be

offered:

Whenrequired.

How often will the course be offered:

?

Irregular intervals.

JusT1rIc,\Tro:: This course will be available for elective credit to M.Sc. and Ph.D. students

in

Applied and Computational Mathematics.

It should also appeal to students in Mathematics

Science and Applied Science. Math 945-4 is a renumbering and retitling of Math 890-4.

RESOURCES:

Which Faculty member will

normally teacb

the course:

?

Shoemaker, Singh and others.

What are

the

budgetary implicatlona of

mountin

g

the course:

?

Nil

Are there

nuC1icRnt Library

resources (a pp end details): ?

Yes

Appended:. a) Outline of the Course

b)

An iodicaLivit of the com

p

etence of the Faculty member to give the courne..

c)

Libruiry rauurce9

Approved: Ppnrtmcntuul Grnduatc Studies Committee:

(W.

Là_

'

&_

t ' .

. flute: ____________

Faculty Graduate Studice Co:rjnittrc:

?

p.

_.

flau': ?

13

Faculty: ?

_

- _.

__hìa to: ?

C) dY

Senate Graduate Studlin

Committee

.

?

•l)nte:_______

Senate: ?

Iflute:

39

---

51 HON I1tA

:n UN I 'i ?

IT?

Plew Crndi

p nte

Cvurne

rr(uonl worm

CAI.LNI)AR JNvoR1Ar1nN:

Department: ?

Mathematics and Statistics

?

Number:

Mat ?

-

Title: ?

Continuum Mechanics

Description:

General introduction to modern theories of the mechanics of continuous media.

Topics may include linear and non-linear elasticity, viscoelasticity, Newtonian and non-

Newtonian fluids and multipolar matxia1s.

Credit Hours:

4

Vector:

4-0-0

PrereIuJAILe(s)

?

If nnv: ?

Students with

credit for Math

881-4 may

not take Math 948-4

for further

credit.

INI(OhIIINT

ANDSCIIF.OIII.1NC

EntlnalcJ I;niollrnent: ?

12 ?

When

will

the course IJrt be ollere4:

When required

H

o

w often will

Lite course

be offered:

?

Irregular intervals

JUSTlflC\TJON: This course will be available for elective credit to M.Sc. and Ph.D. students

in

.

Applied and Computational Mathematics.

It should also appeal to students in Mathematics,

Science and Applied Science. Math 948-4 is a renumbering and retitling of Math 881-4.

RESOtIflCE:

Which

Faculty

member will normally

teach the course:_

Lardner,

Singh and others

What are ?

Lite

budgetary Implications

of mountin g

the

course:

Nil

-

Are there nuIficicnt Llbrry resources

(

a

pp

end detntle):

?

Yes

Appended:. n) Outline of the Course

b)

An Indication of Lite com

p

etence of Lite Fncultv mi'rthcr to give the courne..

c)

Library resources

Approved: I)epnrtmentiil (ruduate Studies Committee:

?

flitr: _________

Faculty Crndunte Studies Co:rjnittrc: ?

_ L.

?

re-.,.._Q._

iate:

?

_____

Faculty:

?

Ckc\A'3_"

nnte:

?

0

-

Senate Graduate Studirn

CnminhtLee:

?

I)nte:_____________

Senatet

---

r

S ?

N n(AsI;R t:i

i vr

j

New Crndiintc Course

Pr

onl mm

CALL4J)AR J NOR.MATO1

Department: ?

Mathematics and Statistics

?

Cotirne

Nter:

Math 950-4

?

Title:

Tensor Analysis on a Differentiable Manifold.-

Description:

A first graduate course dealing with the followingtopics:TensorAlgebra, tensc

fields on differentiable manifolds, differential forms, invariant problems in the calculus

ofvariation,metric field theory and Einstein's equations.

Credit Hours:

?

4

?

Vector: ?

4-0-0

?

7'ierequinite(.) it niiv:

It4flOLlIT AND SCttEflhJJ.1NG:

Etinatcd Enrollment: ?

12

?

When

'.'jli the course

t1rt he

oFIereI:

When required?

flow

-

often will Lite course be offered:

Irregular intervals

JtJsrIr1c,rro:i:

This course will be available for elective credit to M.Sc. and Ph.D. students

— in

&2121icd and LoMutational Mathematics.

It should also

_a

p

peal t o

-

S

tudents in Mathematic's

Science and Applied Science. Math 950-4isa replacement for Math 893-4.

-. ?

RESOUIICI

Which Faculty member will normally teadb Lite course:

_pas. Pchlaner_and..thers.

What are Lite budgetary Implications of mountin

g

the course: ?

Nil

-

Are there

nuf(Ictint Library

rcnourcen (anncnd detnila): ?

Yes

Appended:. n) Outline (if Lite Course

b)

An Indication of Lite com

p etence of

Lite

Fnculiv

,'wmbcr to give the course.

c)

Library resources

Approved: Pepnrinieiitnl (;riidiaie Studies Committee:

?

_I)site: ?

1 ?

Faculty Crnduntc Studico corjnittrc:

Faculty:

-

Ctk14

.

_(.k'\,-On t c :

-Senate Graduate Studies

?

-__... ?

I)nte:

?

Senate:

q1

- ?

.

---

S I1ION FRASI;R UN I \'I' I Ti

New Grndunte ('.ourv rr(

'

n(n I rorm

CAI.LNnAR JNFOR.1ATION:

Department: ?

Mathematics and Statistics -

?

_Cnurnr Nutnlior

:

—

Math

960-4 ?

Title:

MathematicalFoundations of Quantum Mechanics I

Historical introduction; Minkowskian space-time and Lorentz-group; brief review

Description:

o

f_mult j i j

nearaiQebra;representation of Lorentzgroupintensorspaces;

representation of Lorentz group in spinor spaces; irreducible representations of Lorentz

group; relativistic wave equations, Stud

y

of-Lie grou_pgeneratedbyelementsofLorentz

group in neighborhood of identity.

Credit lloura:

?

4_Vtcor: ?

4-0-0 ?

_ PrereujnJte(c) 11 an

y :

Students with

credit for Math 885-4 may not take Math 960-4 for further credit.

I:NnoI.l.i:TAn,.ccII

r.ntu.i NC'.:

Cetlnated Enrollment:

?

12

?

When will the course first tie oliereti:

When required

How oftcn will the course be offered: -

?

Irregular intervals.

This course will be available for elective credit to M.Sc. and Ph.D. students

in

Applied and Computational Mathematics.

it should alsoappeal to students in Mathematics,

Science and Applied Science. Math 960-4 is a renumbering of Math 885-4.

?

Is

-. ?

RESOLIItCIS:

Which Faculty member will normally teach the course:

?

Das and others.

What are the budgetary Implications of mounting the course:

?

Nil

Are

there nu(ficivnt Library resources (anuend

detnila):

?

Yes

Appended:. a) Outline of the Course

b)

An

ltidJcativis

of the coninete.ncc of hue Faculty

member to

g

ive the courruc.

c)

Library resources

Approved:

flcpnrtmentnl Griuduate Studies CommLtt.e:

?

M ?

flute:

Faculty Graduate Studies Coxmlttrc:__________

?

Pate:_____________

Senate

Faculty:

Graduate

?

Studies

QA9-'

Pate:

_V

?

is

Senate

?

Phil r:

---

r

51110:4 I1tAIl

fl" rnslsinte Court: Vr'n1 rorm

0

?

CALLNI)AR J41oR.'IATI0:4:

Department: ?

Mathematics and Statistics

?

_Courne Ihuinlcr:

Math 961-4

Title: ?

Mathematical Foundations of Ouantum Mechanics II

DcBcrlptloIl:

Hubert space; closed linear manifolds; operators in Hubert space; eigenvalue

problems; Hubert space representation of Lorentz group, quantized fields. Statistical

interoretation; uncertainty principle, measurement processes.

Credit hours:

4

?

_

Vector: ?

4-0-0

?

l'rcrciulnite(,) 11 na

y :

Students with

credit for Math .886-4 may not take Math 961-4 for further credit.

I:uRoI.Li,:NTANosclIr.nII.1,Nc

Cs t-lma ked—Enrol-1 men t-:_ ?

12

?

hsenwl11uh1(' courc e

Ilow

.

orten will the course be offered:

Irregular intervals.

Ju5TJflc,T10:J:

This course will be available for elective credit to M.Sc. and Ph.D.

students in

Applied and Computational Mathematics.

It should also appeal to students in

Mathematics, Science and Applied Science. Math 961-4 is a renumberinq of Math 886-4.

RESOURCES:

Which Faculty member will normally teach the courne:_

?

Das and others.

What are the budgetary implications of mountin

g

the courne:

?

Nil ?

—

Are there nuffictent Library renourcen (nnncnd Ietnila):

?

Yes

Appended:. n) Outline of the Course

b) An Indicut løus of the com

p

etence of Iho Faculty nwrnt,cr to

g

ivo the c'rrse.

c)

Library rnource9

Approved: flcpnrtmcist.il Graduate tudlen Com,nttt.:e:

?

Date:

Faculty Graduate Studies Co:rnitLrc:

?

_.i.D

Faculty: ?

.

?

. ?

i)nte:

-Senate Graduate Studlem

CommtLtec

—_.._ ?

l)nte:)-

Sennto:_

?

_________l)111e

•

.— ?

.. ?

.... ?

....... ?

93

---

flew

G rndnn

t c Ciu r si )-rtmorint

r0

rtn

CAIX:19AR J N)0F

ATIOl :

?

..

Department: ?

Mathematics and Statistics

?

Cnitrne

Niinhr: ?

Math

964-4 ?

Title:

GeneralRelativityI

Historical introduction; review of tensor calculus in pseudo-Riemannian space.

Vescriptlon:

The world function

w(X,X i

)

and

.

chronometry; pseudo-Riemannian space-time;

the

servationlawsandequationsofmotion;

material continuum and Einstein's

universes

field equations.

with spherical

Differential

symmetry

and

and

integral

application

con-

credit

to

Credit

planetary

for

I1oura:

Math

systems;

.

887-4

4

?

statical

may not

universes;

take

. Vector:

Math

964-4

?

stationary

4-0_0

for

?

further

universes.

credit.

PrereriulnJte() If

nnv:_Students with

IU(OLI.,UT All)

.cCiI F.flIU.

iG

EatlmaLed l:nrollmcnt: ?

12

?

When

will

tile course first t,i oi1erei:

When required

How often

will

Lite course be offered:

?

Irrqgar intervals.

JtISTIVIC,\To:: This course will be available for elective credit to M.Sc. and Ph.D. students

in

Applied and Computational Mathematics.

it should also appeal to students in Mathematics,

Science and Applied Science. Math

964-4

is a renumbering of Math

887-4.

-. ?

Rr.SOLII(CE!:

Which FAculty

'

member will normally teach Lite courne:.

?

Das, Pechlaner and others.

•

Jhn are Lite budgetary impl.tcntlona of mountin

g

the courne: ?

Nil

Are there nuCflct,t

Library

rcoourcc

p

(append iIetniln): ?

Yes

Appended:.

n)

Outline

of

Lite Course

b) An Indication

of

the comnetence

of Lite Fntul Lv mvmt,cr

toitive the courue.

C)

Librury resources

Approved: flpnrLmciitill Graduate Studien

Committee: ?

t ?

I)iio

Faculty GraduateStudico Co:r.mittrc: ?

_'.pP€ic.,Q

flute:_____________

Faculty: ?

-

Ckct4 'S Q....L-,

flute:

-Senate

Senate:

Graduate Studirn

?

flnto.)

?

•

---

?

51 110.4 IitM;II

UN

I VI

?

I TI

fl

ew 1

.rnd%onte Cnuri: Jr(',)(Iin I

VO,fl

0

?

CAI.LNI)AR I

OIt'IAT

ION:

Department: ?

Mathematics and Statistics

?

Cniirne

Number:

Math 965-4

Title: ?

General Relativity II

Further studies of pseudo-Riemannian geometry; tetrad formalism and Ricci

Des

cription:

rotation coefficients; Petrov's classification of special Einstein spaces

X4.

Gravitational radiations; coupled electro-gravitational universes; combined Klein-Gordon-

Maxwell-Einstein field equations; comments on gçometrodynamics.

Credit Hours:

?

4

Vector: ?

400 ?

)'rercquinite(v) if nnv:

Students

with

credit for Math 888-4 may not take Math 965-4 for further

credit.

I:uu,ohI)u:NTANI,

SCIIF.flUI,1.Nr

1-2 ?

Frst

j

?

,011When -required------

how

often will the course be offered:

?

Irregular intervals

JusTIrIcATIo:J:

?

This course will be available for elective credit to M.Sc. and Ph.D.

?

students in

Applied and Computational Mathematics.

it should also appeal to students in

Mathematics, Science and Applied Science. Math 965-4 is a renumbering of Math 888-4.

• __

Rr.SOUUCI:s:

IThidi Faculty member will normally teacil the cournc:_

Pas, Pechlaner and others.

What are the budgetary Implications of mountin

g

thr courne: ?

Nil

Are there nufficicnt Library renourcea (nnncnd detntln):

?

Yes

Appcnlvd:.

n)

Outline of the course

b)

An indicot Iou of Lite coninete.ncc of LI,o

FACU]

ty

m e mber

to give tile courne.

c)

Libritry resources

Approved: Depnrtmeiitoil Groduate 5tudlen

Commttt..e:

?

Of

61

'

?

flute: ?

_____

Faculty Grndunte Studies Committee:

?

.t-)

.P_r&10..Q. ?

flute:

Faculty: ?

?

. ?

Psj'4-

note:

.5c(c

Uraduate Studii

•

n

Committee

Senate:

I

h s t

r:

U

---

5llION fltA5I:n tJ1lVI'5IT1

'IC'.? ',; rndnn t e Course )'rc't'(ii ni

r0

rrn

CAI.t'II)AR I lFOR.'IAT I OI

Department: ?

Mathematics and Statistics

?

Cnis,ne Number-

Math 990-4

Title:

Selected Topics in Applied Mathematics

Dcncrlption:_______________________

Credit

flours: ?

-

?

4 ?

Vector:

?

4-0-0

?

)'rercqu$nite(e) If any:_______

UNROLUME.NT AND

CntlmoLcJ Enrollment: ?

12

—When will Lite courze i

j

t5t he offered:

When required

how often will Lite course be

offered: ?

Irregular intervals. -

211sTIncATI0:4: This course will be available for elective credit to M.Sc. and Ph.D. students

in

Applied and Computational Mathematics.

It should also ajpeal to students in Mathematics,

Science and Applied Science. Math 990-4 is a renumbering and retitlingof Math 889-4.

,I.1IIir

Which Faculty member will

normally

teach Lite cournc:

Applied

Mathematics Faculty and others.

What are Lite budgetary implications of mountin

g

the. courac:

?

Nil

?

-

Are there nuffictent Library resources (annend details):

yes

Appended:. a) Outline

o

r

the ('.aurae

b)

An Indicativii of the canine tence of Lite Faculty mu,nl,cr to give the course.

c)

Library resources

Approved: Depnrtmentnl (;rnduatc Studies

Committee:

6 1 IV

L,-' 1

?

Date:

Ix,

U

S ?

(1)

Faculty Graduate Studies

Co:r.mltlrc: ?

. ?

Pate:

Faculty: ?

. ?

____

Ict:

-Senate

Senate:Graduate

Studit'n

?

•

---

.

Appendix B.

Graduate calendar entry for the Department of

Mathematics and Statistics.

If the changes proposed in I-IV are approved, a

revision of the calendar entry for the Department of

Mathematics and Statistics will be required. The revised

calendar entry is set out below:

Department of Mathematics and Statistics

Location: 10512 Shrum Science Centre

Telephone: 291-3331

Chair:

?

A.R. Freedman, A.B. (Calif.),

Ph D(OregonState-)

.

L

FACULTY AND AREAS OF RESEARCH

B.R. Alspach

Graph Theory, discrete mathematics

J.L. Berggren

History of Mathematics, algebra

G.N. Bojadziev

Applied Mathematics

T.C. Brown

Algebra, combinatorics

A. Das

Applied Mathematics

C.

Dean

Statistics

D.M. Eaves

Statistics

A.R. Freedman

Number theory, analysis, automata theory

H. Gerber

Mathematical Logi,c

G.A.C. Graham

Applied Mathematics

mechanics

L. Goddyn

Colubinatorics

R. Harrop

Medical computing, mathematical logic

K. Heinrich

Coinbinatorics

P. Hell

Computational discrete mathematics

C.W. Kim

Analysis, probability

A.R. Lachlan

Mathematical Logic

R.W. Lardner

Applied Mathematics

R. Lockhart

Statistics

A. Mekler

Mathematical Logic

E.

Pechianer

Applied Mathematics

N.R. Reilly

Algebra

R.D. Routledge

Statistics, population biology

R.D. Russell

Applied Mathematics

D. Ryeburn

General Topology

J.J.

Sember

Functional Analysis

D.L. Sharma

Applied Mathematics

C.Y. Shen

Applied Mathematics

E.M. Shoemaker

Applied Mathematics

M. Singh

Applied Mathematics

M.A. Stephens

Statistics

T.B. Swartz

Statistics

T. Tang

Applied Mathematics

S.K. Thomason

Mathematical Logic

B.S. Thomson

Analysis

I

L/7

---

K. Trummer ?

Applied Mathematics

C. Villegas ?

Statistics

K.L. Weldon ?

Statistics

Admission

For admission requirements, refer to the Graduate

General Regulations.

Applicants are normally required to submit scores in

the aptitude section and an appropriate advanced section of

the Graduate Record Examinations of the Educational Testing

Service. Applicants whose first language is not English

will normally be asked to submit TOEFL results.

Students interested in A pplied and Computational

Mathematics or Statistics should consult the entries under

Institute for Applied and Computational Mathematics and

Institute for Statistics.

Degree Requirements for M.Sc. and Ph.D.

M.Sc.

Program

A candidate for the M.Sc. degree will normally be

required to obtain a total of at least 20 semester hours of

credit for course work beyond courses taken for the

Bachelor's degree. of these 20 hours, at least 12 are to be

in graduate courses or graduate seminars, and the remaining

8 may be chosen from graduate courses or graduate seminars

or 400 division undergraduate courses. The student will

also be required to submit a satisfactory thesis and to

attend an oral examination based on that thesis and related

topics.

Ph.D. Program

A candidate for the Ph.D. degree will generally be

required to obtain at least 28 hours of credit for course

work beyond courses taken for the Bachelor's degree. Of

these 28 hours, at least 16 are to be in graduate courses or

graduate seminars and the remaining 12 may be chosen from

graduate courses or graduate seminars or 400 level

undergraduate courses. Students who hold an M.Sc. in

Mathematics or Statistics are deemed to have earned 12 of

the 16 graduate hours and 8 of the 12 undergraduate or

graduate hours required. The course work in all cases will

involve study in at least 4 different areas of Mathematics

and/or Statistics.

S

S

Candidates for the Ph.D. degree will normally be

required to pass a General Examination. The General

Examination will consist of examinations in three areas.

?

ME

---

The areas selected for a particular candidate are subject to

approval by the Supervisory Committee and the Graduate

Studies Committee. In a given area the examinations may be

written or oral at the option of the Graduate Studies

Committee. A candidate ordinarily will not be allowed to

take the General Examination more than twice. Students will

be interviewed and advised regarding appropriate courses and

examination curricula.

Students who have completed a Master's degree will

normally be required to attempt the general examination

within one year of their initial registration in the Ph.D.

program.

A candidate for the Ph.D. may be required by his/her

-- -- -----Supervisory-Conunittee-to-acqu ire-prof-ic iency---i-n-read-ing---

mathematical papers in either French, German or Russian.

Students will be required to submit and successfully

defend a thesis which will embody a significant contribution

to mathematical knowledge.

For further information and regulations refer to the

Graduate General Regulations section.

is

q 17

---

Graduate Courses

1'

I

0'oi i1U

IN

00 IOIII

?

at

(If101Od

1

b' l' l)opii %in,iI of M,lI,niaIic as

,1 i:'

?

;.

;idti:le r,uui ,n in I flhIl0nl.')lic1I Educlu,ii. 1.1 fic. (I iii ,c,tioii)

?

Ilse se IIu"e rvivsc

e

s nic tiol rivailable

ID,

LiediI Iowa'd. Ihe i.T,,c. or

the l'h.U.

degrees in th,

?

of 5cicnce.

UAU ?

(,03-4 ?

roi.,idnllon. of I.intlie,nn(Ico

- '.i'i. in malhcrnnhc%,

their

I to,icaI ind pIlilns(lfltiicnl l,

?

'o,c'u,'J and hit'.,

c.tul

•

on.

r,o,i.q.,i,..Iv.: A

ropfance

info ilw P.(..cc. ,ii('ptani ill

f..ih?,niii.iI'cs

cdist'.',f.on

of

f'e's'.i'n'l e,ftl.o

rIv',P.lrfilih'rif.

C.sndi,aIvi ,ti,(I0'it$ ill SIlO

Orjts'f•

,nønt

pf

AI,j1i q

',n.ihir,,c and Statistics cannot

tae

Ihis couisc' In saIsfy their

(7 011'

Oil

seqI

iii

0s,i0qiIl,

MATU (.04-4

?

(.,ornelry

Eucli,loan and non

.

E,,clidn.m Grionioliins. Klein' I,lannn i's

p

-

seq,,isitn. I.,lra'.c info

thin ?.f.Sc.

in AfaI/,n,,,.'f'c,c

(tha-.atioi, lifefjor. 1 1111

01

g.pisfle5. (

In oilS,.' ilr'1,a,f,,,n,,f (,,a(hi,.il(' s tia

toil

.tc

is,

flu' (ls',,uf,,.ns,l ofhil.iIhip.

enAlics

and

StaSssi'cs c.iiiti<,i lako

11115 C(iUiSi' SO

Sal l t t

ly

il, j '

depres s,

sr'qiiisi'.

n'pnt5.

MATH

?

605-4 ?

Mnlh,.,nollcnl M0dQIIOU

Int,oducliwi

10

P lIlrn5IiC.lI

sndelinp using alob,aic. Qeomeltic tecliniquer.

along

witMochniquet

using calculus

Pu!sv'quiaif

0

Ci'lItlI'Cil into

111,7 Ai..'.

gt'o

. a tl

in Afaillorr y l.-INCS

Education and one ;'na' of Ilni'.'oraiIy l'i''I .afruhi,.c.

Gradi

pp

le x1tiderits in flu' (1 ,arsm,.'nl of I.fMh,nn,,ilic.c ,uul Stalislics

cannot

We this coo's,, to satisfy th,ir degree ,equisnnilenLc.

MATH ?

800-4 ?

rule Metluetnoitco: Selected 1o)Ics

MATH

?

806-4 ?

MeIIi,nipttcl logic H

Fiii .

oida, theories. Some synliclscal lheo,nrns concPIflinQ litovabilily, ss,th

as thfl equivalence and ciqualily lluooiems; the coniplt'lnness IIu

p

c)I

p

In and

some Of itS consequences 101 PrhtJivSlf?ntO of syntactical and sesnantical

notions, and inTroduction 10 model theory, incounploleiios of lonnal a,,thin,et'C.

MATH ?

001-4 ?

Msmlhsrnallcel Logic: Selected Topics

MAT U

?

800-4 ?

Matlmnisuatical Logic III

lnl,uch.cTon to mncu,sic'n lhenry.Cluurchs 1h

p

i.GosJl

I1oe, lncotIlplelenesS

111501

em, i,rideciufatiilily. Klpcin's nu,nal ttunn Ih,

p

o'

p

it,

and pnuu,,uat,0uiS

ihAO,,,m. u.n tocuiseon lhoiem. The n,iihn,nlic hinraichy. life analytical

hnn.a'tl.y O p

uiens of ion, nlvability, Basic IlinorornS, Additional topics, II dine

permits.

EercquusiIe. MA 151006.

MATH 812.4 ?

Algobral

lhpory of fields. Topics coveted will include separable. noimnal. GaIo. and

%mansc p

nd,,nIaI exiensions. finite (melds and aIgebiaiclhy closed tield. Ad.

d.i.onal loIucS may include infinite

Galuis

Q.Ou,l)S,

valuation. Kuminru, ,in-

in and Gtoi% cohounology. billie. .nate.ial in aIqLmiaic nunii,ec theory.

MAUI ?

813-4 ?

Atgnhrs II

Group theory. Generators anti ,eialion%, normaliie,s nod cenl.ahizeis,

C0111-

postition

!,C'iOS.

re,nwfauion giouipS, 5'I%' lh.cOry, ntu'luaui g'oiips. Oilier

iuit'5

covwed

will

be the theory

of p•g.OupS, nul,Ofeuil -Ind solvable

g'OISPS.

and

solos aspects of simple groups.

MAUI ?

814-4 ?

Aig.brs: Solocind Topics

MATH ?

015-4

?

Aluetnmi Ill

flings and module

s

. Commutative And nOnconhiiiu,lalivf! as

s

ociate iinQS wills

risc,ndinO on descending chain cnndilion. .Jacol,eon ,atlieal CI

p v.illey .

J'-

cobson density il,t'o,i'ii). Wdrlrtnm,n

.

A,tin tlmo,mns. Goldir

iilt!OiOnilS. will,

application to mntiii c5.otip%

rinditpotivaltfebtar..As timm' pcnrnihs, tio.1101OfJiCat

and local ,,'etl,odt.

MAIII ?

816-4 ?

AIyøbre IV

homology. CalcuomicS. functOr. adjoini luntlOus.

l.omi.olociy, and col'oniolouy

of a complex. Un.vcraI coefficient theorem; EurIn coluomnoloqy of woumps;

5hu,s theorem. Tenor and torsion puadi'cf s. Global dimension oh iiuiS.

MATH 820-4

?

Graph Thsory

A

IwsI

graduate course in graph thpo'y

,

iatung

Willi

some

of

the iohlowinç

mtqobmsic

Taphi;hoory.

oxl,nmat qvnh theorv.coloHnqpmoblnms.miçdicaii0ulS

'If graphs. hype rgr aphs. and cur, sf1 i

MATH 0214 ?

Combinetorlcs

An

Introduction to tim theory of block designs. finite goonloflifli and ,clalouJ

topicS.

MAUI ?

825-4

?

tnunira1lom'

Enumeration problems concerned with pesniulafions. snqmmr,,icqs, p1ntuhpcjn5.

isilic,

vvatkg and gphs, algebraic and analytic propoitins of 90r1o;aut

(uflCliOflS, asymptotic analysis.

MATH 076-4

?

Posete end Mmilrolds

An introduction to iho

theory

of posois. goofl)OfIiC laliico3 and mnalroids.

MATH ?

071-4 ?

DIscrete Mathematic,: Selected Topics

MATH ?

031-4

?

Heel Analysis I

An intensive study of lebosquo fl)OaSuir'). inlngrlioi' anui Iti 1011umilio

convergence theorems toqnthor with the treatment of such topics as absofuul"

conlInufy. thefundamentalUnminni of calcuhu. tim Lp

.

sp.ar.e. colrlp.urion of

l',pes of convergence in function spaces. thin Dame category ihooroimi.

?

3ATH ?

832 . 4 ?

flai Analysis ii

11i5 course noimnahly

cOvfl'S

abstract n,oa'nt,n ,,uJ ,i,t

q

(,.'uiion. and ,natqriai

?

,luich

omplete

?

collectively

metric

spaces.

flight be

normal

cal l

ed an

spar",.

intmoduchion

t he 5lonn-W9ueIStIa3

to functional anlysiT

ttioO.On).

(CU.

?

•

near functionhuls and the I Iafiri.(Jan,7Ch lt,00mflni).

011

1 1,

sped-il': cii topics in

iodorn analysis.

Pietoqm,isiIO: MA UI 035.

?

lATH ?

033-4 ?

-.-' Analysis: Selected Toptc

?

lATh ?

0.36-4

?

Complex AnslyeiN I

ofliC% covers'1 normally will Include: Fliom.ann nuilaco. compins COnjlmQat

m,.ordinalell. the maximum p,incipifl. boundary value orolliiiO

l

s; contonn,aI

uappiflQS. SchwamlZ

.

ChliStotfO formula; the s'1mnniOlt'y principlo.nI'jIic

ontinuhutiOn.

?

lATh ?

831-4 ?

Cornpt.* Analyst II

01)iCS covered will inclu.d u

i sonic of IlmIolhutwinmy

n.itumn tu,,ctir,iIS, niiii

mimhin

g

, hlilberl space of analytic unctici's: cnnfnnnial n.a1mu.ngs of special

.nctinS; P

j canfs

limo' on'.

Pioioquisite MA Tit036.

?

ATII ?

839-4 ' Topologyt

Iirt graduate coiuise In general topaloq/. mieal,ig with some of the following

pica: snl.thOO,O1IC prnlimb.iar'S5. topoloq

l ca t

%par,es. huhtnrs a.id nolç.cO.)fl9Ct.

moss

notions. separation

properties.

counia'oililY prflpruOmOS. compactneSs

opørtlli3. praCunupactne53. neitt(iOn. unilof mu) sp.,crts. function spaceS

?

ATII ?

840-4

?

Topologytt

second graduate coo's') Ili qenoral topioqf (l

q

,ahirnl will' aulrhitiunhul opir.s

'nong those litd for MATh 031).4. P,q,q,;um.culO:

MA 7?f,JM?

?

IATH ?

0414

?

Topology: Selected 1o1:ICI

?

ATH ?

811-4

?

Applied prot)abllltIModels

pllcatIoflS of stochastIc procn''') 0ueil'r. lrv,Ilflhi'. cn,'nI'

)

'. mdc.

nhlability and Ill testing. PoInt poceSSOS. funUl4tmC". F,e:mnjm,isifPa:

MA hl

or

oqtüvriIeiuf.

?

AlIT ?

012.4

?

probabIlityt

,ndamflt5l probability concnptS and retain'! rnoanmro 11,0017. 50rics nt in-

ipgndoot randoni vat ihublo5, the cent( alhin)iltl

t

oo( eon. Inlro,JuCtlOmilO slocl'35

prOCeSSeS.

ATH ?

813-4

?

Probability ii

tochast

i

C proCesS')S. conslructiofl ol pmbhibihul'I rnoasurqion tu,nr.tuOO çace

uuvey ill OflO or mom ot llio following areas: toflSli ti

c l io n

AM11 cOflVflrUl

fl

C

fl

of

'obability moasurOS on metric snacOS. on spaCeS of continuOUS

fun cI

t

o

ns. on

illi q

rt space. on spaces of 99norahi19d unctiomiS.

IATH ?

914-4

?

PobbihItY Selects'tm Topics

lATh

094-2

flehutirlg

IIATII

095-4

Heading

IATII

896.2

introductory Seminar

tAU t

091-7

AdV,ICCd

O

Sendna(

tmAUI

1190

M.Sc.11ieSis

SAul

01)9

.

?

ph .u. 'ThCsii

Sea also MATH 900 to MATH 990 listed under

Applied and Computational Mathematics

Program, page xxx, and STAT 800 to STAT 890

listed under Statistics Program, page yyy.

These courses may also be used to satisfy

the course requirements for the M.Sc. and

p h. D.

.