S.94.21
. ?
SIMON FRASER UNIVERSITY
OFFICE OF THE VICE-PRESIDENT, ACADEMIC
?
MEMORANDUM
To: ?
Senate
From: ?
J. M. Munro, Chair
Senate Committee on Academic Planning
Subject ?
Department of Mathematics and Statistics - New course
Date: ?
February 17, 1994
Action undertaken by the Senate Committee on Academic Planning and the Senate
Committee on Undergraduate Studies gives rise to the following motion:
Motion:
"That Senate approve and recommend approval to the Board of
Governors, as set forth in S.94 - a the proposed new course:
MATH 339 - 3
?
Groups and Symmetry"
Is
To:
Subject-
ub ject
SCAP 94-8
SIMON FRASER UNIVERSITY
.
RegistrarRegistrar
and Secretary of the Senate
MEMORANDUM
SCAP ?
From:
Department of Mathematics
?
Date:
and Statistics - New course
J. Osborne, Chair
SCUS
February 4, 1994
S
Action undertaken by the Senate Committee on Undergraduate Studies gives rise to
the following motion:
Motion:
"That SCAP approve and recommend approval to SCAP
the proposed new course:
MATH 339 - 3 Groups and Symmetry"
(Note: Through no fault of the Department of Mathematics and Statistics this
course proposal - really dated April 1993 - was not considered last Fall.)
go
/.
10
SENATE COMMITTEE ON UNDERGRADUATE STUDIES
?
COURSE PROPOSAL FORM•.
1. ?
Calendar Information
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Department: Mathematics and Statistics
Abbreviation Code: MATH
?
Course Number: 339 ?
Credit Hours: 3 ?
Vector: 3-1-0
Title of Course: Groups and Symmetry
Calendar Description of Course: Symmetries, groups, subgroups and generators, isomorphisms, dihedral groups, matrix
groups, products, Caylcy's Theorem, Lagrâiige' Theorem and Cauchy's Theorem.
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0
Nature of Course: Lecture
Prerequisites (or special instructions) : MATH 232
What course (courses), if any, is being dropped from the calendar if this course is approved: None
2. ?
Scheduling
How frequently will the course be offered? Once a year
Semester in which the course will first be offered? Fall 1993
Which of your present faculty would
be
available to make the proposed offering possible: L. Berggren,
H. Gerber, L. Goddyn, N. Reilly.
3.
Objectives of the Course To help students develop a feeling for the strong relationship between
groups and symmetries as well as to give them a good introduction to algebraic systens.
4.
Budgetary and Space requirements (for information only)
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0 ?
0
What additional resources will be required in the following areas:
?
0
Faculty - None
Staff - None
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0
Library - None
Audio Visual - None
Space - None
Equipment - None
I
5. ?
Approval
Date: ?
2
?
Department Chair
?
Dean
?
Chair, SCUS
SCUS 73-34b:- (When completing this form, for instructions see Memorandum SCUS 73-34a. Attach course outline.)
?
0
New Course Proposal?
MATH 339-3
GROUPS AND SYMMETRY
Course Description:
The theme of the course is that groups measure symmetry. The course is concerned with
introducing the students to the elementary properties of groups with an emphasis on examples
and the symmetry groups of solids and patterns. Topics include the symmetries of geometric
figures and solids such as the regular polygons and the regular tetrahedrons, dihedral groups,
subgroups, generators, matrix groups, symmetry groups, Cayley's theorem, isomorphisms,
products of groups, Lagrange's theorem, partitions, and Cauchy's theorem.
Rationale for offering the course
Many students over the years have found it difficult to bridge the gap between MATH 232-3
Elementary Linear Algebra and the senior level courses MATH 438-3 Linear Algebra and
MATH 439-3 Introduction to Algebraic Systems. The new MATH 339-3 would ease the
student's passage to these senior level courses. MATH 339-3 will not be listed as a prerequisite
to either MATH 438-3 or MATH 439-3, since there
are
students who can successfully take these
courses with just MATH 232-3 as a prerequisite.
The new MATH 339-3 serves other purposes as well. The course is attractive to chemistry
•
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and physics students since it introduces the concepts of symmetries and groups without all the
formal structure given in MATH 439-3. Furthermore, the course is useful for students who
intend to become teachers of mathematics. In fact, there were two chemistry majors, one physics
major and three students intending to become teachers in the experimental offerting of this
course as MATH 398-3 in 92-3.
Ho
SIMON FRAOL
P
R UNIVERSITY
BENNETT LIBRARy
MEMORANDUM
To: Harvey
Mathematics
Gerber
&
?
Statistics
From: Sharon
Head, C011ections
Thomas
Subject: MATH 339.3
?
Date: Jan 26 1994
cc: Judith Osborne Chair, SCUS
The proposed new course:
MATH 339-3 Groups and Symmetry
textbook
Is
has
15-25
already
studenth
which
been
each
offered
in addition,
student
twice
will
I
as
understand
be
a special
required
topics
that
to buy.
the
course
course
and
is
the
taught
anticipated
entirely
enrolment
from a
Since the Library already owns two copies of the text, no
additional resources
are required.
?
0
TOTAL P.002
