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---

652011.05

---

TO:

W.

Parkhouse

Dean

of Graduate Studies

RE:

MATH

741-3 - New Course

FROM:

D. Bingham, Chair

MAR 2 5 2011

DEAN OF GRM)UAif;

STUDIES OFFICE

Faculty of Science Graduate Studies

Committee

DATE:

March 23,2011

Attached is the corrected version of the new course, MATH 741-3, which was tabled at a previous

SGSe meeting. It has been approved by the Faculty of Science and is forwarded for approval by

the Senate Graduate Studies Committee. Please include it on the next

sasc agenda.

Enclosure

D.

Binghall1'\

c. C. Cupples

---

SIMON FRASER UNIVERSITY

NEW GRADUATE COURSE PROPOSAL FORM

When a department proposes a new course it must first be .rent to the chairs of each faculty graduate program

committee

where there might be

atl

overlap in course content. The chairs will indicate that overlap concerns have

been dealt

with by signing the appropriate space or via a separate memo or e-mail (attach). The new course

proposal must

alra be sent to the Library! for a report.

Once overlap concerns

"a~'e

been dealt with. sig","ures indicate approval by the deparmlent. home faCUlty and

Senate Graduate Studies Commillee.

Deparlment or School:

Mathematics

Proposed course number and title:

Math 741-3 Commutative Algebra and Algebraic Geometry

Other Faculties:

Other FaCilities approval indicates that the Detw(s) or designate of other Faculties affected by the proposed new

course support(s) the approval of the new course.

Name of Faculty

Signature

Date

Name of Faculty

Signature

Date

Name of Faculty

Signature

Date

Name of Faculty

Signature

Date

Name of Faculty

Signature

Date

Departmental approval

(non-deparrmCl1lali=edfaclilties need IIot sign)

Department Graduate

~~mmittee

Signature

~

I

~

Department Chair

1

211

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Signature

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___

Date

.Date

Faculty

approval

/

Faculty approval indicates that a/l the necessary' course content and overlap concerns have been resolved, and that

the FacultylDepartmelll commits

10

providing the required Library funds and allY other neceSSalJI resources

Faculty Graduate Program Comwittee

Signature

~

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SGSC

Signature

approval

W

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Date

f'v\

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--S

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Date

MAY 0 2 2011

sesc approval indiCd1(!s that the Library report has been seen. and all resource issues dealt with Once approved,

new

course proposals are sent to Scnale for information.

SENATE

GRADuATeSTUDIES

COMMITTEE

fORM

RECEIVED

MAR

2 1

lOU

1/2

NfWCRS-I>PFORM REV FEe 132008RTF

DEAN

OFFIce

OF

SCIENCe

---

NEW GRADUATE

COURSE

PROPOSAL

FORM

Subject:

Course Title:

Math

Commutative Algebra and Algebraic

(max.

Geometry

4

chars)

Catalog Number:

--------

741

(max. 80 char.)

Short Title

(appears

011

transcripts etc.)

Comm. Algebra & Algebraic Geom

(max.

25

char.)

Course Description for Calendar:

(append a course outline as a separate document)

Va. study of ideals and varieties. Topics include affine varieties, ideals, the Hilbert basis theorem, resultants and

~limination,

Hilbert's Nullstellensatz, irreducible varieties and prime ideals, decomposition of varieties,

polynomial mappings, quotient rings, projective space and projective varieties. Additional topicS depending on

he instructor: Groebner bases and automatic theorem proving in geometry, Bezout's theorem, dimension, and

~lIiptic

curves.

Available

Units:

------

3

Course Components:

(select al/ that apply)

0Lecture

DSeminar

o Laboratory

DPracticum

Prerequisites:

(if any)

Appropriate knowledge of algebraic structures

Campus

Estimated

at

Enrolment:

which course

5

will be offered:

TIle

-----------------------------

Burnaby

teml course will first be offered: Spring 2012

Frequency of course offering: Every other yea

Grading Basis: 0Graded

DSatisfactory/Unsatisfactory DIn Progress/Complete

Justification:

We have been offering the content of this course under Math 739: Algebraic systems in 2008 and 2010 with

~ath

439 and now that we have decided on content we wish to give the offering a regular title.

Flraduate students will be required to answer advanced homework questions and to complete a related

project.

Resources:

Faculty member{s) who will normally teach this course:

(append in/ormation about tlleir cOlllpetency

(0

teach the course)

Jason Bell, Nils Bruin. Michael Monagan

Number of additional faculty members required in order to offer this course:

Additional space required in order to offer this course:

(append details)

o

o

Additional specialized equipment required in order to offer this course:

(append details)

o

Additional Library resources required:

(append details)

Annually $ _0 ____ One-time $ _0 __ _

If additional resources arc required to offer this course. the depanment proposillg the course should be prepared to provide

in{onnation

on the source(s) ojthose additional r('sources.

Upon approval of the course proposal. the Dean of Graduate Studies offiCI! will consult ',ith the department or school regarding

other course anributes that

m~'

be required to enable the proper elll/). of the

lIew

coursr in the student record system.

SIMONFRASE~

UNIVERSiTY

SENATE

GRADUATESTV:llfS

COMMlTlft

FOR.\I

---

l\1ATH 741 - Commutative Algebra and Algebraic Geometry

Topics:

A study of ideals and varieties. Topics include affine varieties, ideals, the Hilbert basis theorem, eresultants

and elimination, hilbert's Nullstellensatz, irreducible varieties and prime ideals, decomposition of variet.ies.

Additional topics depending

on the instructor: Groebner bases and automatic theorem proving in geometry,

Bezoufs theorem, dimension, and elliptic CUf\.CS.

Outline:

An introduction to the objects of algebraic geometry: polynomials (in one or more variables over a field),

varieties (solutions of systems of polynomial equations), ideals, Groebner bases, and quotient rings. This

is

a generalization of the heory of linear systems and linear algebra to treat systems of non-linear polynomial

equations. the discovery of Groebner bases by Bushberger

in 1965, followed by the development of software

implementations

for computing Gorebner bases has made possible a very constructive approcah to this

subject. Throughout the course

we will be using Maple for doing calculations.

• Ideals and Varieties:

- Polynomials, ideals and varieties

-

Curves and surfaces in two and three dimensions

-

Parametrizations of affine varieties

• Groebner Bases:

- The division algorithm, the Hilbery basis theorem and Groebner bases

- Buchbergcrs algorithm in two and three dimensions

- Parametrizations of affine varieties

• Elimination Theory:

- Elimination theory, implicitization of curves and surfaces, unique factorization, and polynomial

resultants.

• Hilberts Nullstellensutz and ideal decomposition:

- Hilberts Nullstellensatz

- Decomposition of varieties and the primary decomposition of ideals

- Quotient rings

• Applications:

- Geometric Theorem pro\'ing, circle packing problems

Grading:

Homeworks and project -

60%

Final Exam -

40%

Remark. As this course is a joint undergraduate/graduate course, homeworks for MATH741 will include

additional advanced questions. Also a graduate project might be included, specific to graduate students.

Required Texts:

Ideals, Varieties and Algorithms, 3rd Edition, Author: Cox, Little and O'Shea, Publisher: Springer-Verlag,

Year: 2007, ISBN: 387356509

Preqllisite:

Enrollment in graduate studies

1

---

of~

hnpS:1

I

connec1.sfu.caizimbraJhiprintmessage?id=

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4960&xim=

1

SFU Connect

mathusec@sfu.ca

±

Font size:

Fwd: Library Course Assessment Request: MATH 441/741

From: Leslie Rimmer <Isrimmer@sfu.ca>

Subject:

Fwd: Library Course Assessment Request: MATH

441/741

To : JoAnne Hennessey <mathusec@sfu.ca>

Dear JoAnne,

Thu, 09 Dec, 2010 12:57

{;)3 attachments

I

have completed the review for your new course proposal, MATH

441/741 -

Comparative Algebra and Algebraic Geometry,

and have determined no additional resources are required. 1 have added this course to the appropriate list at

bllp:!lwww.lib.sfu.ca/collections/course-assessments This will be proof of Library sign off for you

Please don't heSitate to contact me should you have any questions.

---- Forwarded rJlessage .-- ••

From:

"JoAnne

Hennessey"

<mathusec@sfu.ca>

To: gbird@sfu.ca

Cc:

"mathusec"

<mathusec@sfu.ca>

Sent: Wednesday, December 1, 2010 10:59:23 AM

Subject: Library Course Assessment Request: MATH

441/741

Happy Wednesday,

Could I ask that a library Course Assessment be done for the following proposed course:

1)

MATH

441/741

The Meeting for the Faculty of Science Undergraduate Studies Committee, at which these course proposals will be

approved will, be held on

???

Jan, 2011.

Note, we are in the process of approving the course numbers with

the

Registrar

=

as such they are subject to change.

from

the

course outhne\other information

Will

not.

Find the new course forms/draft outlines attached.

Please feel free to contact me should you have any questions or comments.

Have a Fabulous Day!

J.

JoAnne Hennessey

Undergraduate

Secretary

Department

of

Mathematics

General Office: SC K10512

Tel: 778-782-3332

Leslie Rimmer

CollectiOns

Ubrarian

Uaison Ubrarian ror Biological Sciences

WAC Bennett Ubrary

---

/

TO:

Associate Deans - Arts & Social

Sciences,

Applied

Sciences,

.EdOC4tlorff

Health,

Environment,

Business

Administration,

Communication, Art & Technology

RE:

New Course - MATH 741-3

FROM:

D. Bingham, Chair

Faculty of Science Graduate

Studies

Committee

DATE:

January 31, 2011

Please check the enclosed new course for overlap and/or any other difficulties.

Please indicate your comments. on the cover memo, and return it to Rosemary Hotell

through campus mail, or bye-mail tohotell@sfu.ca.

Thanks.

S 1 \111:-; 1'11,\:,.1:1: L'

~

I

V

I 11'0 ry

T

k

I

II K

'N

G 0 r T H r

W

0 R L 0

---

/

,

.

'SFU

TO: Associate Deans - Arts & Social

Sciences,

Applied

Sciences,

Education,

Health,

~Envlronment"

Business

Administration,

Communication, Art & Technology

RE:

New Course - MATH 741-3

FROM: D. Bingham, Chair

Faculty of Science Graduate

Studies

Committee

DATE:

January 31, 2011

Please check the enclosed new course for overlap and/or any other di,fficulties.

Please indicate your comments, on the cover memo. and return it to Rosemary Hotell

through campus mail, or bye-mail tohotell@sfu.ca.

Thanks.

---

/

. .. .

S"F.U

TO:

Associate Deans - Arts

&

Social

Sciences,

Applied

Sciences,

Education,lMedlt, Environment,

Business

Administration,

Communication,

Art

&

Technology

RE:

New Course - MATH 741-3

FROM:

D. Bin"gham, Chair

Faculty of Science Graduate

Studies

Committee

DATE:

January 31,2011

Please check the enclosed new course for overlap and/or any other difficulties.

Please indicate your comments,

on the cover memo, and return it to Rosemary Hotell

through campus mail. or bye-mail tohotell@sfu.ca.

Thanks.

:11"1.11 )

~

I

Il.~

S III '""

1\"1'

H "I r \"

T

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I N I< I to cor T H £ W 0 R l 0

---

Minutes of meeting of sGse

Page

3

HSCI 902-3 Interdiciplinary Seminar in Health Sciences

HSCI903-1 Interdiciplinary Research Colloquium 1

HSCI 904-1 Interdiciplinary Research Colloquium2

HSC1905-1 Interdiciplinary Research Colloquium3

Motion: Move to approve.

(C. Janes/W. Haider)

(Unanimous)

HSCI 983-6 Comprehensive Exam and Thesis Proposal

HISC 990-6 Thesis Research

Motion: Move to approve.

(C. Janes/W. Haider)

(Unanimous)

HSCI 998-6 Thesis Preparation and Defense

Motion: Move to approve.

(R. Cameron/J. Nesbit)

(Unanimous)

HSCI PhD Program Proposal will go on to SCUP.

Motion Carried

Motion Carried

Motion Carried

5.6 Faculty of Science

IGS2011.05)

a. Department of Mathematics

I)

New course: MATH 741-3 Commutative Algebra and Algebraic Geometry

Motion:

Tabled

Department to be contacted; the new course documentation requires further clarification

6.

Items for infomlUtion- minor course changes approved

6.1 Faculty of Business Administration

(GS2011.03J

a. Master of Business Administration

I)

Title and Description change: BUS 718-4 Strategic Management/Comprehensive

Examination

6.2 Faculty of Communication, Art and Technology

IGS2011.04)

1)

Title and description change: IA T 833-3 Performance, Technology and Embodiment

6.3 Faculty of Science

IGS2011.05)

a. Department of Mathematics

1)

Prerequisite and Title Change: MATH 739-3 Algebraic Sysl-ST Algebra

7.

Other Business

•

SFU Exchange Program/Outbound Graduate Students - Proposed Eligibility

Criteria established by the Senate Committee on International Activities (SCIA) was reviewed.

•

Academic Integrity Ad\'isory Committee requires an SGSC representative. The Chair

asked for volunteers.

•

Search for two new Associate Deans - the SGSC Chair updated committee members on

the search.

8.

Next scheduled meeting March 14,2011

(material deadline -February 28,2011)

5GSCMIN.2011 FEB 21.DOC

03/15!1

t 3 OF 3

---

SFU Connect

SFU Connect

Page 1 of 1

sheilagh@sfu.co

± Font Size:

Fwd: Scanned from MFP-OSOI8470 03/02/201119:09

From: Sheilagh MacDonald <sheilagh@sfu.ca>

SUbJect: Fwd: Scanned from MFP-05018470 03/02/2011 19:09

To : Derek Bingham <dbingham@stat.sfu.ca>

Cc:

Rosemary

Hotel!

<rosemary_hotell@sfu.ca>

Dear Derek,

SGSC had the following concerns with the new course proposal:

-the course outline appears to be for

441

/

SGSC needs a course outline spedfic to 741 ...;

-the outline refers to an undergraduate pre. requiSite - needs a graduate prereq

"...--.

Thu, Mar 03, 2011 04:58 PM

~

1 attachment

Wade would like to know - What additional work will be done in 741 given that this is a

Pi9gY-ba~

From: "Dean of Grad Studies Office" <dgs-sfu@sfu.ca>

To:

"Sheilagh

MacDonald"

<sheilagh@sfu.ca>

Sent: Wednesday. March 2. 2011 7:09:33 PM

Subject: Scanned from MFP-05018470

03/0212011 19:09

Scanned

from

MFP-05018470.

Date: 0310212011 19:09

Pages:10

Resolution:200x200

DPI

Sheilagh

MacDonald

Secretary, Dean of Graduate Studies

sheilagh@sfu.ca

phone: 7787824255

fax:

778 782 3080

DOC030211.pdf

@

251 KB

https:l/connect.sfu.ca/ziInbra'h/printnlessage?id=127153

3/311011

---

TO:

W.

Parkhouse

Dean of Graduate Studies

RE:

MATH Curriculum Changes

FROM:

D. Bingham, Chair

MAR 1 7 2011

DEAN OF GRADUATE

STUDIES OFFICE

Faculty of Science Graduate Studies

Committee

DATE:

March 15, 2011

The following has been approved by the Faculty of Science and is forwarded for approval by the

Senate Graduate Studies Committee. Please include it on the next SGSC agenda.

Mathematics

Changes to the Mathematics Graduate Program as described in the attached documentation.

Enclosure

c. C. Cupples

, I \ 1 j I' I U \" I P l 'T \ I H ... I Ii" .... , I, ...-, : h,:: ::.:- - .. r ,'. C

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---

MEMO

DEPARTMENT OF

MATHEMATICS

RAZV AN FETECA U

Co-chair.

Graduatc

Admissions

Commillcc

MAILING ADDRESS

Simon

Fraser

Universily

8888 University Drive

Burnaby BC V5A I S6

Canada

CONTACT INFO

Telephone:

778.782.3335

Facsimile:

778.782.4947

Email:

van@math.sfu.ca

DEPARTMENT OF MATHEMATICS

FACULTY

OF

SCIENCE

ATfENTIO!ll:

FROM:

Derek Bingham

Chair of Faculty of Science Graduate Studies Committee

Rllz\'an Fetecllu

Co-chair, Graduate Admissions Committee

Department of Mathematics

Local 23335

van!al.math.sfu.ca

Graduate Curriculum Changes

I

DATE:

04 March, 20 II

\

\

\

\

\.

Please see enclosed are documents related to graduate curriculum changes and rationales, to be

considered by the Dean

of Science Office.

I.

A Summary of Course Title Changes:

COlmSE

Titll' FHO!\l

Till", TO

AI'MA 900-

'I

Advanced Mathematical

Asymptotic Analysis of

I

Methods I

Differential Equations

~.

2

APMA 901-

Lf

Ad\'anced Mathematical

Methods II

Partial Differential Equations

3

APMA 912

.:.r

Ad\'anced

Partial

Differential

Panial Differential Equ:ltlons

Equations

4

APMA 930

-If

Fluid Dynamics

Computational

Fluid Dynamics

APMA 939 -

t.f

Selected Topics in Mechanics of

Sdected Topics in Mathematical

5

Solids

Image Processing

SIMON

~RJI~LR

l'NIVJiRSITY

THINKING OF THE WORLO

---

DEPARTMENT OF MATHEMATICS

FACULTY

OF

SCIENCE

II.

In

addition to those already submitted: A Summary of Course Description Changes:

COUHSE

• '

[)~scrillti~~.J.l

FRO!\l ••. _ ' ..

Ih'scriptiim TO

~

+"...

.

~

lo

r

.~

<", •

Hilbert spaces. Calculus of

Analysis and computation of

variations. Stunn-Liouville

classical problems from applied

problems

and special functions.

mathematics such as

Green's functions in one

eigenfunction expansions,

\

dimension. Integral equations.

integrailransfonns, and stability

and

bifurcation

analyses.

I

APMA 900

Methods include perturbation,

-'I

boundary laycr and multiple-

scale analyses, Ilveraging and

homogenization,

integral

asymptotics

and

complex

variable methods as applied to

differential

equations.

First order

partial differential

First order nonlinear partial

equations. Characteristics.

differential equations

(PDEs)

Eigenfunction expansions and

and the method of

integral transfonns.

characteristics. Iiamilton-lacobi

Discontinuities and singularities;

equation and hyperbolic

weak solutions. Green's

conservation laws; weak

2

APMA 901-¥

functions. Variational methods.

solutions.

Second-order linear

PDEs (Laplace, heat and wave

equations);

Green's

functions.

Sobolc\" spaces. Second-order

elliptic

I'DEs;

Lax-Milgram

theorem.

An advanced course on partial

An advanced course on partial

diffemtial equations. Topics

differential equations.

Potential

covered usually will include

topics inclUde linear and

quasi-linear first order systems

nonlinear elliptic equations,

3

APt.\A 9l1-¥

and hyperbolic, parabolic and

second-order parabolic

and

elliptic second-order equations.

hyperbolic equal ions, calculus of

\

variations,

semi

group

theory,

Hamilton-Jacobi

equations,

hyperbolic

conservation

laws.

Direct and iterative methods ror

Conditioning and stability of

the numerical solution of linear

numerical methods for the

systems, factorization

solwion oflinear systems, direct

techniques, linear least squares

factorization

and iterati ve

4

APMA920-'1

problems, eigenvalue problems.

methods, least squares, and

Techniques for parallel

eigenvalue problems.

\

architectures.

Applications and mathematical

sllftw:ue.

Analysis and application of

Analysis and application of

numericill methods for sol\ing

numerical methods for solving

partial di fferential equations.

partial differemial equations.

Finite difference methods.

Potential topics include finite

5

APMA

9:!2_1.1

speclral methods, multi grid

difference methods. spectral

methods.

methods. finite element methods,

and muhilcvel'multigrid

methods.

SIMOS FIII\SI;Il CNI\'EIlSITY

THIN'<lIlG OF : .. e WORLD

---

6

\

\

7

\

8

9

~"

.

.

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DEPARTM ENT OF MATHEM ATleS

FACULTY

OF

SCIENCE

COlll{SI':

Ikscriptinn FI{O,\1

Numerical solution of systems of

nonlinear equations, and

unconstrained

optimization

problems.

Newton's

method.

Quasi-Ne\\10n

methods, secant

methods, and conjugate gradient

APMA 923. '1

algorithms.

Basic equations

and theorems of

fluid mechanics. [ncompressible

now. Compressible now. Effects

of \.iscosity.

APMA 930

-'{

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.

APMA 939

• '1

APMA 990.'1

!\'A

Ill-scription TO

Theory and algorithms of

nonlinear programming with an

emphasis on modem

computational

considerations.

Topics may include: optimality

conditions for unconstrained and

constrained

optimization,

gradient

methods,

conjugate

direction

methods,

Newton

method,

quasi-!IIewton

methods,

penalty and barrier methods.

augmented

Lagrangian

methods

and intcrior point methods.

Basic

equations

gO'

erning

compressible

and

incompressible

fluid mechanics. Finite

difference and finite volume

schemes for hyperbolic, elliptic.

and parabolic pamal differential

eqll~tions.

Practical applications

in IllW Reynolds number flow,

high.speed

gas

d)'namics,

and

porous media now. Software

desi~n

and use of public-domain

codes.

Study of mathematical and

computational

aspects

of

image

science. Some of the main

mathematical tools are panial

differential

equations,

iterative

solutions to systems of

equations, filt.:rs and wavelets.

,\ppllcations

include

deblurring.

dCl\llismg.

inpainting,

reconstruction.

registration,

and

segmentation.

Previous

course

off

clings focused on

comrutational methods in

medical imaging. introduction to

w3\'clcts,

and

mathematical

imnge processing and analysis.

Topics vary depending on

faculty a\ ailability and student

interests.

Recent

offerings

inciuJe:

geophysical

fluid

dynamics,

adaptive

numerical

methods for differential

equallons, learning theory, and

stability, pattern formation and

chaos.

SIMON

~l(hSLIt

UNJ\.t;USITY

TH''lKING

o~

PH ....

ORLD

---

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DEPARTMENT OF MATHEMATICS

FACULTY OF SCIENCE

III.

In

addition, to those already submitted: A Summary or Course Prerequisite Changes:

CUUI{SE

I'rc"rC{luisitl'

I:

!H)~I

'.

.1 • \

~

"rl'l"C1luisitc TO

\

MATI I 314 or equivalent. Students with credit

1

APMA 900

for MA TIl 900 may not take APMA 900 for

NtA

further credit. Recommended: MATH 419.

MATH 314 or equivalent. Students with credit

2

APMA901

for MA Tn 90 I may not take A PMA 90 I for

N/A

further credit. Recommended: MA Til 418.

MATH 322 or equivalent.

Student.~ "'~th

credit

3

APMA 902

for MA TIl 836 or 902 may not take APMA 902

N/A

for further credit.

MA HI 900 or pennission of the instructor.

4

APMA 905

Students with credit for MA HI 905 may not

NfA

take APMA 905 for further credit.

MATH 415 or equivalent. Students with credit

5

APMA910

for MATH 842 or 910 may not take APMA 910

N/A

for further credit.

\

MATH 901 or permission of the instructor.

6

APMA 912

Students with credit for MATI! 845 or 912 may

N/A

not take APMA 912 for further credit.

\

Srudents with credit for MA TEi 850 or 920 may

\

7

APMA 920

not t.'\ke APMA 920 for further credit.

N!A

Students with credit for MATH 851 or 921 may

\

8

APMA 921

not take APMA 921 for further credit.

N/A

Students with credit for MATH 852 or 922 may

9

APMA 922

not take APMA 922 for further credit.

N/A

Students with credit for MA 1'1-1 853 or 923 may

,

10

APMA 923

not lake AI'MA 923 for further credit.

N/A

MATH 361 or equivalent. Students with credit

II

APMA 930

for MA HI 930 may not take APMA 930 for

N:A

funher credit. Recommended: MATH 462.

\

APMA 930 or permission of

th~

instructor.

\

12

APMA 934

NtA

MA TIl 418 and MACM 316 or equivalent.

13

APMA 935

Srudents with credit for MATH 883 or 935 may

N/A

not take APMA 935 for further credit.

APMA 935 or permission of the instructor.

14

APMA 939

NtA

~JM(}N

I'IlASI;Il UNI\,I:ttSITY

lHINO(ING OF lHE WORLO

---

DEI)ARTMENT Of MATHEMATICS

FACULTY

OF

SCIENCE

IV. Rationale for the proposed changes:

Course Title Changes

1. APMA 900: The titles fur APMA 900 and APMA 90 I, "Advanced Mathematical Methods" I and II, are

currently not particularly infonnative. The new names more accurately reflect the content

of these courses.

2. APMA 90 I: See the rationale for the name change for APMA 900, above.

3. APMA 912: In the light of the name change for APMA 901 to "Panial Differential Equations" (POEs).

this course needs to be renamed; the new name reflects the status of this course as a second graduate-level

course

in PDEs.

4. APMA 930: We suggest the inclusion of the word "computational" in the title of APMA 930 to beller

reflect the nature

of the course. We teach a modem, computationally-oriented fluid dynamics course,

which includes state

of the an techniques used for simulations of fluid flow. To date the course has been

taught like this for at least eight years (every second year).

Our offering of a computational course in fluid

mechanics should be properly emphasized

in the calendar, as training in computational methods is highly

sought after

by prospective applicants; and we feel that adding the word "computational" to the description

would distinguish

APMA 930 from more classical, theorem-based courses on mathematical fluid

mechanics.

5. APMA 939: We propose a major change in this special topics area. The reason is that we no longer

have

any faculty doing research in Mechanics of Solids, nor do we expecllO have anyone suitable to teach

this topic

in the neur future. We feel that a suitable specialized area is Mathematical Image Processing, a

very dynamic and fast-growing field that has wide practical upplications. The course will be taught from a

mathematical perspective, to complement possible related courses

in Engineering or Computer Science.

Several Mathematics faculty have research pertaining to imaging, including Steve Ruuth, Manfred

Trummer, and Adam Obem1an. In the recent past

M. Trummer has taught two courses on mathematical

image processing as selected topics courses

(APMA 990): "Computational Methods in Medical Imaging"

and "Introduction to wavelets". In addition, S. Ruuth has co-taught "Mathemuticallmage Processing and

Analysis" in Spring 2008 and 20 II. All of these courses were extremely well received by students.

Having a selected topics course in Mathematical Image Processing in the calendar would add to the

visibility of our graduate program and would potentially attract considerable attention from prospective

applicants.

SIMOS

FRASIiR L:NIYI!RSIOr\'

THINV,ING

OF HIE WORt

0

---

" •

l

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•

•

"~1.1

)

... j "' • 4., I

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lJ

DEPARTMENT OF MATHEMATICS

FACULTY

OF SCIENCE

Course Description Changes

J. APMA 900: The course's syllabus has been extensively changed in the last 10 years to include modem

applied mathematics techniques. This is perhups the most outdated description

of ull APMA courses und it

needs a significant update.

The suggested new description, which is significantly different from the old

one, reflects the current content

of the course.

2. APMA 901: The course has been redesigned recently to include different material. More specifically,

we no longer teach eigenfunction expansions and integral transfonns, but we cover Sobolev spaces,

second-order elliptic partial differential equations

(PDE's) and Lax-Milgram Theorem. The new material

presents

a functional analytic approach to POE's and represents an essential component of a modem

treatment on this topic.

3. APMA 912: The proposed description reflects the new status of this course as a second graduate-level

course

in PDEs (see rationale for course title change of APMA 912 in Section IV, point 3). The topics

listed

in the new description complement those taught in APMA 901 ("Partial Differential Equations").

4. APMA 920: Minor change from the old version. \Ve added the phrase "Applications and mathematical

software"

to the description to emphasize the practical nature of the course and its usefulness in Teal world

applications. We removed from the old description "Techniques for parallel architectures", which is a

more specialized topic.

5. APMA 922: Minor change from the old version to include "finite element methods" under potential

topics.

6. APMA 923: This course is essential for students working on operations research and it will be offered

regularly by the department. The content has been recently revised to include a more diverse list of topics

relating to the theory and algorithms

of nonlinear programming. In addition, the updated description

indicates that the course puts

"an emphasis on modem computational considerations". This note is

important for attracting interest from prospective students, as computational skills in operations research

are a great asset

on the job market.

7. APMO\ 930: The description has been extensively revised. The motivation was presented above, see

rationale for course title changes, Section

IV, point 4. The new description outlines the numerical methods

("finite difference and finite volume schemes") used in the course for simulating fluid flow. It indicates

clearly the

"practical applications" of compressible and incompressible fluid mechanics, and the

computational component

of the course ("software design", "usc of public-domain codes").

8. APMA 939: The description has been changed entirely to address the suggested name change discussed

above in rationale for course title changes. Section IV. point 5. The proposed description lists the main

mathematical tools and applications

of imaging that will be taught or addressed in the course. Examples of

recent offerings are also provided.

9. APMA 990: The course had no previous description, as its title was expected to be self-explanatory.

However this course is one of our regular offerings and we teach

a

wide variety of topics under this title.

We now list some of the recent offerings to give prospective applicants a much better idea of how diverse

and modem the topics taught under APMA 990 have been.

~IMON

fRASt!! l'NI\'UtS!]'>' THINKING OF THF WCIlLO

---

DEPARTMENT OF MATHEMATIC'S

FACULTY

OF

SCIENCE

Course Prerequisite Changes

1-14: We wish to remove the listings of prerequisites from ALL graduate APMA courses. There are

several reasons for this proposal. First, we cannot enforce prerequisite undergraduate requirements in

graduate courses using the SIMS online system. Second, the MATH graduate courses do not Jist any

prerequisites, and we would certainly want a uniform style for course descriptions across the department.

Furthermore, since most

of our graduate students are not SFU graduates, listing SFU-numbered courses as

prerequisites could be confusing. In general, we feel that calendar descriptions of graduate courses should

primarily serve to advertise our graduate program to prospective applicants. Prerequisites will be included

and properly discussed by instructors, along with other course details,

in the "Detailed Course Outlines",

centrally listed by the university.

Please find attached the modified

Graduale Course Minor Change Forms.

If anything is missing or

unclear, please do not hesitate to contact Wendy

Szeto or me.

Thank~o~, ~

~u

Razvan Fetecau

Co-chair, Graduate Admissions Committee

SIMON FRASER UNIVEIISIl'Y

THINKING OF THE WORLD

---

SIMON

FRASER

UNJVHR:;rry

SENATE GRADUATE STUDIES COMMlnEE FORM

. .SF.U

I.k-\N fll (;U.\tHl:\rI' SIL:JlII:!I n'I'Il:'

GRADUATE COURSE MINOR CHANGE FORM

This form is to be used when there is a request for a minor change to an existing graduate course. TIre form is

completed by the department and then approved by the Faculty graduate studies committee. It should then be

forwarded to

the Dean of Graduate Studies for approval by SGSe. SGSe will forward the approval to Senate for

information. NOTE: Please complete pertinent sections only

Please Check appropriate revision(s):

DCatalog Number

D Units

lEI Title

lEI Description

lEI Other Llp_re.:...r.,:.e.;:,qu.:...i._si._te ________ .......J

Department or School: Department of Mathematics

Current course

Subject: APMA

(max:

4

chars)

Catalog Number:

_9_00 ____

Units:

_4 _____ _

Course Title: Advanced Mathematical Methods

I

(max. 80 char)

___________________ (max.

15

char)

Short Title

(appears on transcripts etc.)

Course Descri (ion for Calendar:

Available

Course

Component:

IZJLecture

DSeminar

DLaboratory

DPracticum

Grading Basis: 0Graded

DSatisfactorylUnsatisfactory DIn Progress/Complete

Prerequisites:

(if

an)~

MATH

314

or equivalent. Students with credit for MATH

900

may not take APMA

900

for further credit.

Recommended: MATH 419.

Modified Course

Subject: APMA

(max:

4

chars)

Catalog Number:

_90_0 ___

Units:

_4 ____ _

Course Title: Asymptotic Analysis of Differential Equations

(max. 80 char)

Short Title

(appears on transcripts etc.)

Course

Description

for

Calendar:

___________________ ,(max.

25

char)

(I)

IAnalysis and computation of classical problems from applied mathematics such as eigenfunction expansions,

ntegral transforms, and stability and bifurcation analyses. Methods include perturbation, boundary

layer and

jmultiple-scale analyses, averaging and homogenization, integral asymptotics and complex variable methods

las applied to differential equations.

Available

Course

Component:

lZ]Lecture

DSeminar

OLaboratory

DPracticum

Grading Basis: lZ]Graded

OSatisfactorylUnsatisfactory DIn Progress/Complete

Prerequisites: (if

any)

N/A

(NOI..Je.J

(i

i

; )

*Attacll rationale for

chall-g-es-a-s~a

....

s!..;;ep=a=r:=a=te=d;.ol-c-um-e-ttt-:-.

--------------------

Approvals

Faculty Graduate Studies Committee

Date

Senate Graduate Studies Committee

Date

N[.v

0

2

lOll

Upon approl'al of the minor course c/wllge, the Dean of Graduate Studies office will consult with rhe departmelll or

school regarding other course auributes that may be reqllired to enable the proper emr)' of the course change

in

the

student rt!cord system

---

SIMON

FRASER UNIVEUSlTY

SENATE GRAOUATESTUOIES COMMITTEE fORM

DI,\!'>

III

(;k,\lII'.\rJ SII.1I11

~ nl~nCl

GRADUATE COURSE MINOR CHANGE FORM

This form is to be used when there is a requcst/or a minor change to an existing gradllate course. The form is

completed by the department and then approved by the Faculty gradllate studies commillee. It should then be

/onvarded to the Dean 0/ Graduate Studies/or approval by SGSe. SGse will/onvard the approval to Senate for

information. NOTE: Please complete pertinent sections only

Please Check appropriate re\'ision(s):

o Catalog Number

0

Units

lEI

Title

[EI

Description

I>J

[EI

Other IPrerequisite

Current

Department

course

or

School:

---------------------------------------------------------

Department

of

Mathematics

Subject: APMA

(max:

4

chars)

Catalog Number:

---------

901

Units:

-------------

4

Course Title: Advanced Mathematical Methods II

(max. 80 char)

Short Title

(appears on transcripts etc.)

(max.

25

char)

Course Description for Calendar:

Irst order partial Cltnerentlal equations. Lharactenstlcs. cigentunction expansions and Integral transtorms.

piscontinuities

and

Singularities;

weak

solutions.

Green's

functions.

Variational

methods.

A \'ailable Course

Component:

0Lecture

DSeminar

o Laboratory

DPracticum

Grading Basis: 0Graded

DSatisfactorylUnsatisfactory DIn Progress/Complete

Prer~'luisites:

(if any)

MATH

314

or equivalent. Students with credit for MATH

901

may not take APMA

901

for further credit.

Recommended:

MATH

418.

Modified Course

Subject: APMA

(max:

4

dum)

Catalog Number:

---------

901

Units:

-------------

4

Course Title: Partial Differential Equations

(max. 80 char)

Short Title

(appears on transcripts etc.)

(max.

25

char)

Course Description for Calendar:

(I)

irst order nonlinear partial differential equations (POEs) and the method

of

characteristics. Hamilton-Jacobi

equation and hyperbolic conservation laws; weak solutions. Second-order linear POEs (Laplace, heat and waVE

equations);

Green's

functions.

Sobolev

spaces.

Second-order

elliptic

POEs;

Lax-Milgram

theorem.

V.

I I

.)

'-

Available

o

Course

Lecture

Component:

DScminar

DLaboratory

DPracticum

Grading Basis: [ZJGraded

DSatisfactorylUnsatisfactory DIn Progress/Complete

C II

;)

Prerequisites: (if any)

N/A

(

/'1/0",£

')

----~~~~---------------------------------------

*.4"a"', rationale/or challges as a separal.. d,,,.umenl.

Approvals

Faculty Graduate Studies Committee

'-~

Senate Graduate Studies Committee

L0~.

c ......

SL

Date

D

ate

D./\Y

a....

•

,/

r~'"

t

Ii!

"."

I

1

Upon approval o/the minor course chang.:. the Dcan o/Graduate Studies olfice will consult with the department or

school regarding

other course attributes that may be required to enable the proper entry of the course change in the

student record system

---

"

SIMON FRASER UNIVERSITY

SWAT£ GAADVA TESTUDIES COMMITTEE FORM

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GRADUATE COURSE MINOR CHANGE FORM

This form is to be used when there is a request for a minor change to an existing graduate course, The form is

completed

by the department and then approved by the Faculty graduate studies committee. It should then be

fonvarded to the Dean of Graduate Studies for approval by SGSe. sase will fonvard the approval to Senate for

information. NOTE: Please completc pertinent sections only

Please

o Catalog

Check

Number

appropriatc

0

Units

rc\'ision(s):

D

Title

0

Description IE) Otherl ... p_re_r_eq

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Department or School: Department of Mathematics

Current course

Subject: APMA

(max:

4

chars)

Catalog Number:

---------

902 Units:

-------------

4

Course Title: Applied Complex Analysis

(max. 80 char)

Short Title

(appears on transcripts etc.)

(max.

25

char)

Course Description for Calendar:

!Review of complex power series and contour integration. Conformal mappmg,

~chwartz-Chnstottel

ransformation.

Special

functions.

Asymptotic

expansions.

Integral

transform.

Available

Course

Component:

IZJLecture

DSeminar

DLaboratory

DPracticum

Grading

Basis: 0Graded

DSatisfactorylUnsatisfactoI)' DIn Progress/Complete

Prerequisites:

(if

an)~

MATH 322 or equivalent. Students with credit for MATH 836 or 902 may nol take APMA 902 for further

credit.

Modified (ourse

Subject:

Course Title:

APMA

Applied Complex

(max:

Analysis

-I

chars)

Catalog Number:

---------

902 Units: 4

-------------

(max. 80 char)

Short Title

(appears onlranscripts etc.)

(max.

25

char)

Course Description for Calendar:

~eview

of complex power series and contour integration. Conformal mapping, Schwartz-ChristoNel

ransformation.

Special

functions.

Asymptotic

expansions.

Integral

transform.

Available

o

Course

Lecture

Component:

DSeminar

DLaboratory

DPracticum

Grading

Basis: 0Graded

DSatisfactorylUnsatisfactory DIn Progress/Complete

Prerequisites: (if

any)

_N_IA __ -..:..(....;I.:.l:;V:.,::C='.=if:.-.

,,"-\ ________________________________ ....,;(:....,/,')

."

Attach ralicma/e for changes as a se p7i'iale document.

Approvals

.-_~

Faculty Graduate Sntdies Committee

-~m

nate

Senate Graduate Studies Conunittee

~

.««

e 6

Date

•.• '. r. , .. \

r

'Ii

Upon appro\.al of the minor course change. the Dean of Graduate Studies offia will

consu!'·!f.il11;'~

di:par~nie"l1

or

school regarding other course attributes that may be required to enable

(he

proper entry of the course change in the

sllldent record system

---

. ,

SIMON FRASER UNIVlmSrry

SENATE GRADUATE STUDIES COMMITTEE FORM

.' .: .. SFU

DI.'11-: III (;II,\IIU:\I'I' SIt;IlIlS

(kner.

GRADUATE COURSE MINOR CHANGE FORM

This form is

10

be used when Ihere is a requesl for a minor change

10

an existing graduale course. The form is

completed by the department (md then approved by the Faculty graduale sludies committee. II should Ihen be

forwarded to

thc Dcan of G/'aduate Studies for approval by

SGSe.

SGse will fonvard the approval

10

SCllate for

information. NOTE: Please complete pertinent sections only

Please Check appropriate revision(s):

D

Catalog Number

D

Units

D

Title

D

Description

IEl

Other

Llp_re_r_eq..:,u_i_si_te ________ --'

Department or School: Department of Mathematics

..... -------------------------------------------------------

Current course

Subject: APMA

(max:

4

chars)

Catalog Number:

_90_5 _________

Units:

_4 _____ _

Course Title: Applied Functional Analysis

(max.

80

char)

________________________ (max.

25

char)

Available

o

Course

Lecture

Component:

DSeminar

DLaboratory

DPracticum

Grading Basis: 0Graded

DSatisfactorylUnsatisfactory DIn Progress/Complete

Prerequisites:

(if

an.l~

MATH

900

or permiSSion of the instructor. Students with credit for MATH

905

may not take APMA

905

for further credit.

Modified

Course

Course

Subject:

Title:

APMA

Applied Functional

(max:

Analysis

4

chars)

Catalog Number:

-------

905

Units:

--------

4

(max. 80 char)

Short Title

(appears on transcripts elc.)

(max.

25

char)

Course Description for Calendar:

nfinite dimensional vector spaces, convergence, generalized Fourier series. Operator Theory; the Fredholm

~Iternative.

Application to integral equations and Sturm-Liouville systems. Spectral theory.

Available

Course

Component:

0Lecture

DSeminar

DLaboratory

DPracticum

Grading Basis: [ZJGraded

DSatisfactory/Unsatisfactory DIn Progress/Complete

)

Prerequisites: (if

any)

_N_/A--'-(....;·/._'.J.-=.:1.=.;,..J~r~)

________________________________________________ C

Ii;'

*Attach rationale for changes as a separate dOCl/menl.

Approvals

Faculty Graduate Studies Committee

~

Date

Senate Graduate Studies

committce~

O\-f.«

~alc

MAY 0 2

l~i1

Upon appro\'al of Ihe minor course change. the Dean of Graduate Studies office will consull wilh Ihe department or

school regarding olher course attributes Ihal may be r.:quired to enable Ihe proper entry of Ihe course change in Ihe

siudent

record syslem

---

•

• I

•• ,.'

~

SIMON FRASER UNIVEHSITY

SENATEGRAOVATESrvOI£SCOMMJTTEEFORM

" SfU.

DI~\I'

01

r;

\!;\I 11),\ 1 1

SnaJIIs

01111:1

GRADUATE COURSE MINOR CHANGE FORM

This form ;s to be used when there is a request for a minor change to an existing graduate course. The form is

completed

by the department and then approved by the Facully graduate sllIdies committee. It should then be

forwarded to the Dean of Graduate Studies for approval by SGSc. SGSC will fonvard the approval to Senate for

information.

NOTE:

Please complete pertinent sections only

Please

o

Catalog

Check

Number

appropriate

D

Units

revision(s):

D

Tille

D

Description

lEI

Other

&..Ip_re_r_eq..;.u_i_si_te ________

......

Current

Department

course

or

School:

--------------------------------------------------------

Department

of

Mathematics

Subject: APMA

(max:

4

chars)

Catalog Number:

_91_0 ___

Units:

_4 _____ _

Course Title: Ordinary Differential Equations

(max. 80 char)

______________________________________ (max.

25

char)

Short Title

(appears on transcripts etc.)

Course Descri tion for Calendar:

Available

Course

Component:

0Lecture

DSeminar

DLaboratory

DPracticum

Grading

Basis: [ZlGraded

DSatisfactorylUnsatisfactory DIn Progress/Complete

Prerequisites:

(if any)

MATH

415

or equivalent. Students with credit for MATH

842

or

910

may not take APMA

910

for further

credit.

Modified

Course

Subject: APMA

(max:

4

chars)

Catalog Number:

_91_o ___

Units:

_4 _____ _

Course Title: Ordinary Differential Equations

(max. 80 char)

Short Title

(appears on transcripts etc.)

(max.

25

char)

Course Description for Calendar:

[The solutions and properties of ordinary differential equations and systems of ordinary differential equations

in the

real and complex domains.

Available

o

Course

Lecture

Component:

DSeminar

DLaboratory

DPracticum

Grading

Basis: 0Graded

DSatisfactorylUnsatisfactory DIn Progress/Complete

Prerequisites: (if

any)

_N_/A __

--.,.;:.(..;../r--:::::Ol/=-(_) ________________________________________

(~/I)

*Anacll rationale for changes as a scp;;;;ie aOCllmellt.

Faculty Graduate Studies Committee

-

'\.

'

APErovals

~

Senute Graduate Studies Committee

~ ~

.... "

Date

Date

l'tAr ti L

(~'"

Upon approval of the mi/lor course change, the Dean of Graduate Studies office will consult with the department or

school regarding other course attributes that may be required to enable the propel" entry of the course change in the

student record system

---

SIMON FRASER UNIVERSlTY

SENATE GRAOUATE5ilJ0:E5 COMMlmE FORM

DL\1'

III (;Il.\lII';\I1

SIl;IIIL'I OIlI!;1

GRADUATE COURSE MINOR CHANGE FORM

This form is to be IIsed when there is a reqllest lor a minor change to an existing graduate cOllrse. The/arm is

completed by the department

and then approved by the Faculty graduate studies commil1ee. It should then be

/onvarded to the Dean a/Graduate SlIidies/or approval by SGSc. SGSC will/orward the approval

10

Senate/or

in/ormation.

NOTE: Please complete pertinenl sections only

Please Check appropriate revision(s):

D Catalog

Number

D Units

lEI Tille

D Descriplion

lEI Olher l'-p_re_r_e..;.q_Ui_s_ite _________ ....

Department or School: Department of Mathematics

Current course

Course

Subject:

Title:

APMA

Partial Differential

(max.'

Equations

4

chclrs)

Catalog Number:

---------

912 Units:

-------------

4

Short Title

(appears on transcripts etc.)

Course Descri lion for Calendar:

--------------------------------------

(max, 80 char)

(max.

25

char)

Available

o

Coursc

Lecture

Component:

DScminar DLaboratory DPracticum

Grading Basis: 0Graded

DSatisfactory/Unsatisfactory DIn Progress/Complete

Prerequisites:

(if ally)

MATH

901

or permission of the instructor. Students with credit for MATH

845

or

912

may not take APMA

912

for further credit.

Modified

Course

Subject: APMA

(max:

4

chars)

Catalog Number: 912

Units: 4

----------

---(m-ax--~-

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Course Title: Advanced Partial Differential Equations

. 0

Short Title

(appears on transcripts etc.)

(max.

25

char)

Course Description for Calendar:

IAn advanced course on partial differential equations. Potential topics include linear and nonlinear elliptic

!equations, second-order parabolic and hyperbolic equations, calculus of variations, semigroup theory,

: /;)

",

Hamilton-Jacobi equations, hyperbolic conservation laws.

A

vailable

o

Course

Lecture

Component:

DScminar o Laboratory OPracticum

Grading Basis: 0Graded

DSatisfactory'Unsatisfactory DIn Progress/Complete

Prerequisites:

(if any)

_N_/A __

.::..(_N="~:-::-(

) ______________________

~(

III) -

*Allach ratiollale for challgcs as a sep";i";;;i'e dOCUlllclII.

Approvals

Facuhy Graduate Studie, Committee

~

nate

Scnate Graduate Studies Committee t-c

9

9.:kSL

Date

.!.:._~

\.

n ;. ?fI

11

Upon appro\'al 0/ the minor course c/uIIIge. the Dean 0/ Graduate Studies oinec will

COIISUIt

with the dt?partmellt

v,.

school regarding other cow'se allribllles that may be required to cllable the proper entry of the course change in the

sllldent

record system

---

SIMON FRASER UN1VERSlTY

SENATE GRAOVATESTIJOIES COMMITTEE FORM

DIAN III (;JI.\lll'MI.

STlillll~

t

\1111:1

GRADUATE COURSE MINOR CHANGE FORM

This form is to be used when there is a request for a minor change to an existing graduate course. The form is

completed

by the department and then approved by the Faculty graduate studies commit/ee. It should then be

fonvarded to the Dean of Graduate SlIIdies for approval by SGSC SGSC will forward the approval to Senate for

information. NOTE: Please complete pertinent sections ollly

Please

o Catalog

Check

Number

appropriate

0

Units

re\'ision(s):

D

Title

lEI

Description

lEI

Other ILP_re_r_e...:.q_Ui_s_ite _________ ....

Current

Department

course

or

School:

-----------------------------------------------------------

Department

of

Mathematics

Subject:

Course Title:

APMA

Numerical Linear

(max:

Algebra

4

chars)

Catalog Number:

---------

920 Units:

-------------

4

(max.

80

ch(lrj

Short Title

(appears on transcripts etc.)

(max.

25

char)

Course Description for Calendar:

/llrect

and Iterative methodS for the numerical solution Of linear systems, factorization teChniques, linear least

~quares

problems,

eigenvalue

problems.

Techniques

for

parallel

architectures.

Available Course Component:

IZ]Lecture

DSeminar

o

Laboratory

DPracticum

Grading Basis: IZ]Graded

DSatisfactorylUnsatisfactory DIn Progress/Complete

Prer~uisites:

(if an.\:)

Students with credit for MATH 850 or 920 may not take APMA 920 for further credit.

Modified Course

Subject: APMA

(max:

4

chars)

Catalog Number: _92_0 ___ Units: _4 ______ _

Course Title: Numerical Linear Algebra

(max. 80 char)

Short Title

(appears on transcripts etc.)

(ina."!:.

25

char)

Course Description for Calendar:

:--onditioning and stability of numerical methods for the solution of linear systems. direct factorization and

(I' I)

r

iterative

methods,

least

squares,

and

eigenvalue

problems.

Applications

and

mathematical

software.

Available Course Component:

0Lecture

DSeminar

o Laboratory

DPracticum

Grading Basis: 0Graded

DSatisfactory/Unsatisfactory DIn Progress/Complete

Prerequisites: (if any)

N/A (A);)Ij<)

(

1/

I

) ,

*Attach ralionale for changes as

Q

;;;;rale docllltlellt.

Approvals

Faculty Graduate Studies Committee

~ .~ ~

Date

Senate Graduate Studies Committee ('

~~ ~

cv

Yo

Date

NJ:~'

Ii

2

2a11

Upon approval of the minor course change. lhe Dean of Graduate Studies office will consult

), Ilh

the departmem or

school regarding other

COllrse allributes that may be required to enable the proper entl)' of the course change in the

studelll record system

---

SIMON

FRASER UNIVERSITY

SENATE GRAOUATE5TVrllE5 COM .... rTT£E FORM

DIJ\~

Cli (;11;\111:.\1/

SIl:IlIl~

l )llIer

GRADUATE COURSE MINOR CHANGE FORM

This form is

10

be used when there is a requesl for a minor change

10

an exisling graduate course. The form is

completed

by the departmenl and then approved by the Faculty graduate studie .... commillee. It should then be

fOl'lvarded to the Dean of Graduate SlIIdies for approval

by

SGSc.

SGse

will forward the clpprovalto Senate for

information, NOTE: Please complete pertinent sections only

Please Check appropriate revision(s):

DCatalog

Number

D Units

D Title

D Description

IEl

Other

Llp_re_r_e..:q_ui_s_ite ________ ---'

Department or School: Department of Mathematics

Current course

Subject:

Course

Title:

APMA

Numerical

Solution

(max:

of

4

ch(lrs)

Ordinary

Catalog

Differential

Number:

Equations

----------

921

Units:

-------------

4

(max.

80

char)

______________________________ ,(max.

25

char)

Available

Course

Component:

0Lecture

DSeminar

DLaboratory

DPracticum

Grading Basis:

0Graded

DSatisfactorylUnsatisfactory DIn Progress/Complete

Prerequisites:

(if

an)~

Students with credit for MATH 851 or 921 may not take APMA 921 for further credit.

Modified Course

Subject: APMA

(max'

4

chars)

Catalog Number: _92_1 ____ Units: _4 _____ _

Course Title: Numerical Solution of Ordinary Differential Equations

(max. 80 char)

Short Title

(appears on transcripts etc.)

(meR

25

char)

Course Description for Calendar:

I5tudy of the practical numerical methods for solving initial and boundary value problems for ordinary

~itterential

equations.

Available

o

Course

Lecture

Component:

DSeminar

OLaboratory

OPracticum

Grading Basis: 0Graded

DSatisfactory'Unsatisfactory DIn Progress/Complete

(

(

II/'}I,,-

Prerequisites: (if any)

N/A

NOf-l"(')

----~====~~------------------------------------------------

/

*Attocll Totiona/e for

cllangt'.~

as

;-;;p;;;.clfe

docUlllctll.

Approvals

Faculty Graduate Studies Committee

-.-.::>

,~

Date

Senate Graduate Studies Committee

~ ~iSilOOGA

o.

>.

Date

j'

.

(

~~.~.~-~~~~

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-,,~.

----

Upon appro\'al of the minor course change. rhe Dean of Graduate Studies olna will cOllsult \llith the

dep"a~tlJent

or

school regarding other course allribllles that may be required to enable the proper entry of the course change in the

student

record system

---

•

L • • • \ I • •

~

l

SlMON FRASlm UN1Vf:HSITY

SENATE GRAOUATESruOIES COMMlTT£E FORM

',:':.S.F,U

I)I,\S III (;\v\In).\l1 Srnlll:; 1)11

Jc:t

GRADUATE COURSE MINOR CHANGE FORM

This form is to be used when tllere is a request for a minor cllange to all existing graduate course. The form

is

completed by tile department and then approved by the Faculty graduate studies committee.

It

should tllen be

forwarded to tile Dean of Graduate Studies for approval by SGSc. SGSC will fonvard the approval to Senate for

information. NOTE: Please complete pertinent sections only

Please Check appropriate revision(s):

D Catalog Number D Units

D Title

lEI Description

lEI Other I'-p_re_r_e...;.qu_i_si_te ________ --I

Current

Department

course

or

School:

------------------------------------------------------

Department

of

Mathematics

SubJ'cct: APMA

(max:" chars)

Catalog Number:

---------

922

Units:

-------------

4

Course Title: Numerical Solution of Partial Differential Equations

(mux. 80 char)

______________________________ (max.

25

char)

Available

Course

Component:

0Lecture

DSeminar

o Laboratory

DPracticum

Grading Basis: 0Graded

DSatisfactoryfUnsatisfactory DIn Progress/Complete

Prerequisites:

(if

an)~

Students with credit for MATH

852

or

922

may not take APMA

922

for further credit.

Modified

Course

Subject: APMA

(max:" cllars)

Catalog Number:

_92_2 ___

Units:

_4 _____ _

Course Title: Numerical Solution of Partial Differential Equations

(max. 80 char)

Short Title

(appears on transcripts etc)

(milx.

25

char)

Course Description for Calendar:

Analysis and application of numerical methods for solving partial differential equations. Potential topics

I

nelude finite difference methods, spectral methods, finite element methods, and multilevel/multigrid

li I

')

~

methods.

Available

Course

Component:

[Z/Lecture

DSeminar

o

Laboratory

DPracticum

Grading

Basis: 0Graded

DSatisfactorylUnsatisfactory DIn Progress/Complete

Prerequisites: (if

any) N/A

(,00 •.

)t

')

C

i',

J) -

*Attoch ratiollale for changes os a septifiifC docUl1Ic",.

Approvals

Faculty Graduate Studies Committee

Senate Graduate Studies Committee

Date

Date

L'pon approval of Ihe minor course cllange. Ihe Dean of Graduate Studies office will cOlISul1 with Ihe department or

school regarding other course attributes that may be required to enable the proper eml)' of the course change illlhe

student record system

---

SIMON FRASlm UNIVERSITY

SENATE GRAOUA nS

TUOI£S

COMMITTEE FORM

I

)IJ\1o; III (;Il .... IIl; .... II. SI VUIIl'> I )IIICI

GRADUATE COURSE MINOR CHANGE FORM

This form is to be uscd whcn there is a requcst for

a

minor change to an existing graduate course. The form is

completed

by the departmcnt and thclI appro\'ed by the Faculty graduate studies commillee. It should then be

f01wardcd to the Delln of Graduate Studies for approval by

SGSe. SGSe

will forward the approval to Sellate for

illformatioll. NOTE: PleClse complete pertinelll sections only

Please Check appropriate re\'ision(s):

ClCatalog Number Cl Units

Cl Title

lEI

Description

lEI

Other ..

lp_re_r_e....;q_U_is_it_e ________ ___

Current

Department

coyrse

or

School:

--------------------------------------------------------

Department

of

Mathematics

Course

Subject:

Title:

APMA

Numerical Methods

(max:

in

4

chars)

Continuous

Catalog

Optimization

Number:

---------

923

Units:

-------------

4

(max. 80 char)

Short Title

(appears on transcripts etc)

(max.

25

char)

Course Description for Calendar:

~umencal

solution of systems of nOnlinear equations, and unconstrained optimization problems. Newton s

method,

Quasi-Newton methods, secant methods, and conjugate gradient algorithms.

Available

Course Component:

/Z1Lecture

DSeminar

o

Laboratozy

DPracticum

Grading Basis:

[Z1Graded

OSatisfactory/Unsatisfactory

DIn

Progress/Complete

Prerequisites:

(if

atl»)

Students with credit for MATH 853 or 923 may not take APMA 923 for further credit.

Modified Course

Subject: APMA

(max:../

chars)

Catalog Number:

---------

923 Units:

-------------

4

Course Title: Numerical Methods in Continuous Optimization

(max. 80 char)

Short Title

(appears Oil tl'allscripts etc)

(max.

25

char)

Course Description for Calendar:

[Theory and algorithms of nonlinear programming with an emphasis on modern computational

onsiderations.

Topics

may

include:

optimality

conditions

for

unconstrained

and

constrained

optimization,

~radient

methods, conjugate direction methods, Newton method, quasi-Newton methods, penalty and barrie

rnethods, augmented Lagrangian methods and interior point methods.

Available Course

Component:

0Lecture

OSeminar

OLaboratory

OPracticum

Grading Basis:

0Graded

,.oSatisfactory;Unsatisfactory

DIn

Progress/Complete

Prerequisites: (if any) _N_/A __ ---::l:...

AN-:=O=,..I=(.._) ________________________________________ ( II

,} r

*Anaclr rationa/cfor clraflges as a scp;;;ii document.

Approvals

Faculty Graduate Studies Committee

Date

Senate Graduate Studies Committee

Date

MAY

U '-

lUi1

Upon apprm'al of the millor course change. rhe Dean of Graduate SlIIdies office will consult wllh the depar;ment or

school regarding other COllrse attriblltes that may be required ro etlable rhe proper "nT')' of rhe COllrse change in rhe

studenT record system

---

.

'

SIMON FRASER UNIVJ1nSrry

SENATt GRADUATtSTUDIESCOMMmEE FORM

.;.",-."

.... ,,;,!:>-$,E1J,

I>I,\S fll

(;II.\lIl',\1

L SIl;1l11

~

t

)IIICI

GRADUATE COURSE MINOR CHANGE FORM

This form is to be used when there is a request for a minor change to an existing graduate course. The form is

completed by the department and thell apprOI'ed by the Faculty graduate studies committee. It should then be

forwarded to

the Dean afGraduate Studies for (Ipproval by SGSc. SGSC will fonvard the approl'alto Senate for

information. NOTE: Please complete pertinent sections only

Please Check appropriate revision(s):

DCalalog Number D Unils

~

Tille

~

Descriplion

~

Olher Llp_re_r_eq...;..u_is_it_e ________ --I

Current

Department

course

or

School:

------------------------------------------------------

Department

of

Mathematics

Subject:

Course Title:

APMA

Fluid Dynamics

(max:

4

chars)

Catalog Number:

---------

930

Units:

-------------

4

(max. 80 char)

________________________________________

(max.25cha~

Available

Course

Component:

!Z/Lecture

DSeminar

DLaboratory

DPracticum

Grading

Basis: lZ]Graded

DSatisfactorylUnsatisfactory DIn Progress/Complete

Prerequisites:

(if

any)

Prerequisite: MATH

361

or equivalent. Students

with

credit for MATH

930

may not take APMA

930 for

further credit. Recommended: MATH 462.

Modified

Course

Subject:

Course Title:

APMA

Computational Fluid

(max:

4

Dynamics

chars)

Catalog Number:

---------

930

Units:

-------------

4

(max. 80 char)

Short Title

(appears on transcripts etc.)

(max.

25

char)

Course Description for Calendar:

Basic

equations

governing

compressible

and

incompressible

fluid

mechanics.

Finite

difference

and

finite

volume schemes for hyperbolic, elliptic, and parabolic partial differential equations. Practical applications in

(j

() '"

ow Reynolds number flow, high-speed gas dynamics, and porous media flow. Software design and use of

public-domain

codes.

A

vailablc

o

Course

Lecture

Component:

DSeminar

DLaboratory

DPracticum

Grading Basis:

0Graded

QSatisfactol)'/Unsatisfactory DIn Progress/Complete

Prerequisites: (if

any)

N/A

{/VCI'Jc

\

(

IiI

) "'"

"'Anach rationale for cI,anges as a separate document.

Approvals

Faculty Graduate Studies Committee

Senate Graduate Studies Committee

Upon approm/ of the minor cOllrse change. the Dean of Gradu::l1e Studies office will consult with the deparrmelll or

school regarding other course attriblllcs that ma.\' be required to enable the proper entry 0/ the course change in the

slUdent record s}'Stcm

---

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FRASER UNIVEnS1TY

SENATe GRAOUATESTUDIES COMMITTEe FORM

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GRADUATE COURSE MINOR CHANGE FORM

This form is to be used when there is a request/or a minor change to an existing graduate course. The form is

completed

by the department and then approved by the Faculty graduate studies committee. It should then be

forwarded to the Dean o/Graduate Studies/or approval by SGSC. SGSC will/orward the (Ipproval to Senate/or

information. NOTE: Please complete pertinent sections only

Please Check appropriate reYision(s):

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Catalog Number

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Course Title: Selected Topics in Fluid Dynamics

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Course Title: Selected Topics in Fluid Dynamics

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Course Description for Calendar:

::.tudy 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-f1uid

mechanics, gas dynamics.

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enable the proper ellrT)' of rhe course challge in the

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SIMON FRASER UNIVEnSITY

SENATE GRAOUA TE STUDIES COMMITTEE FORM

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GRADUATE COURSE MINOR CHANGE FORM

This form is to be used when there is a request for a minor change to an existing graduate course. The form is

completed by the department and then approved by the Faculty graduate studies commillee, It should then be

fonvarded to the Dean of Graduate Studies for approval by SGSe. SGSe will fonvard the approval to Senate for

information. NOTE: Please complele pertinent sections only

Please Check appropriate revision(s):

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Catalog Number

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Catalog Number: _93_5 ____ Units: _4 _____ _

Course Title:

Analysis and Computation of Models

(max. 80 char)

Short Title

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Course Description for Calendar:

IAnalysis of models from the natural and applied sciences via analytical, asymptotic and numerical studies of

!Ordinary and partial differential equations.

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Course Title: Selected Topics in Mathematical Image Processing

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Upon approval 0/ the minor course change. the Dc,m oj Gradualc SlIIdies oilier will consuli with the deparlment or

scllool regardzng oliter course auributes tilat may be required to enable the proper emr)' of Iht' course change In Ihe

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---

SIMON FRASER UNJVERSlTY

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forwarded to the Dean of Graduate SlIIdies for approval by SGSc. SGSC will fonvard the approval to Senate for

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Course Description for Calendar:

[Topics vary depending on faculty availability and student interests. Recent offerings include: geophysical fluid (/';) ,_

~ynamics,

adaptive numerical methods for differential equations,learning theory, and stability, pattern

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!formation and chaos.

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lhe

slUdcllt record system

---

Co~ses,

Applied Mathematics

Page

1

of4

Simon Fraser University

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Contents

Courses

• 500 and higher

Go to class search/browse catalog

in

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Search active course descriptions and outlines.

Summer 2011 Calendar

I

Mathematics

I

Applied Mathematics APMA Courses

Department 0/ A1athematics

I

Faculty o/Science

Simon Fraser University Calendar

2011

Summer

APMA 900-4 Advanced Mathematical Methods I

Hilbert spaces. Calculus of variations. Sturm-Liouville problems and special

functions. Green's functions in one dimension. Integral equations. Prerequisite:

MATH 314 or equivalent.

Students with credit for MATH 900 may not take

APMA900 for further credit. Recommended: MATH 419.

APMA 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 or equivalent.

Students

with credit for MATH 901 may not take APMA 901 for further credit.

Recommended: MATH 418.

APMA 902-4 Applied Complex Analysis

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

Schwartz-Christoffel transformation.

Special functions. Asymptotic expansions.

Integral transform. Prerequisite: MATH 322 or equivalent.

Students with credit for

MA TH 836 or

902 may not take APMA 902 for further credit.

APMA 905-4 Applied Functional Analysis

http://students.sfu.calcalendar/mathematics/APMA_courses.htm1

3/311201

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Courses, Applied Mathematics

Page 2 of4

Infinite dimensional vector spaces, convergence, generalized Fourier series.

Operator Theory; the Fredholm alternative. Application to integral equations and

Stunn-Liouville systems. Spectral theory.

Prerequisite: MATH 900 or pemlission

of the instructor. Students with credit for MATH 905 may not take APMA 905 for

further credit.

APMA 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 or equivalent. Students with credit for MATH 842 or 910 may not take

APMA 910 for further credit.

APMA 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 or permission of the instructor.

Students

v.'ith credit for MATH 845 or

912

may not take APMA

912

for further

credit.

APMA 920-4 Numerical Linear Algebra ..-/

Direct and iterative methods for the numerical solution of linear systems,

factorization techniques, linear least squares

problems, eigenvalue problems.

Teclmiques for parallel architectures. Students

with credit for

i\1A.

TH 850 or 920

may not take APMA

920

for further credit.

APMA 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. Students

with credit for MATH 851

or

921

may not take APMA

921

for further credit.

APl\fA 922-4 Numerical Solution of Partial Differential Equations

Analysis and application of numerical methods for solving partial differential

equations. Finite difference methods. spectral

methods, multigrid methods.

Students with credit for

i\1A TH 852 or 922 may not take APMA 922 for further

credit.

APMA 923-4 Numerical Methods in Continuous Optimization.

Numerical solution of systems of nonlinear equations, and unconstrained

optimization problems.

Ne\\10n'S method, Quasi-Newton methods, secant

http://students.sfu.ca/calendar/mathematics/APIv1A _ courses.htm 1

3,'31/2011

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C~urses,

Applied Mathematics

Page 3 of4

methods, and conjugate gradient algorithms. Students with credit for MATH 853

or 923 may not take

APMA 923 for further credit.

APMA 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 transfonns,

computational complex analysis, special functions, numerical quadrature and

multiple integrals, constrained optimization, finite elements methods, sparse matrix

techniques, or parallel algorithms

in scientific computing.

APMA 930-4 Fluid Dynamics

I

•

Basic equations and theorems of fluid mechanics. Incompressible flow.

Compressible flow. Effects

of viscosity. Prerequisite: MATH 361 or equivalent.

Students with credit for MATH 930 may not take APMA 930 for further credit.

Recommended: MATH 462.

APMA 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: APMA 930 or permission of the instructor.

APMA 935-4 Analysis and Computation of Models

Analysis of models from the natural and applied sciences via analytical,

asymptotic and numerical studies

of ordinary and partial differential equations.

Prerequisite: MATH 418 and MACM 316 or equivalent. Students with credit for

MATH 883 or 935 may not take

APMA 935 for further credit.

APMA 939-4 Selected Topics in 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:

APl\.1A 935 or

permission

of the instructor.

APMA 981-4 Selected Topics in Continuum Mechanics

APMA 982-4

Selected Topics in l\1athematical Physics

APMA

990-4 Selected Topics in Applied Mathematics

http://students.sfu.ca/calendar/mathematics/AP:rvrA_courses.htm I

3/31/2011

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Courses,

.

Applied Mathelnatics

Page 4 of4

Return to mathematics index page.

For calendar inquities and technical problems, contact calendar-sfu@sfu.ca

I

Calendar changes and corrections

http://students.sfu.ca/caiendariinatheinatics/ APMA_courses.html