a3-9

............SENATE

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

CHARGE..MATHEMATICS

SENATE COMMITTEE ON UNDERGRADUATE STUDIES

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

Action undertaken by the Senate Committee on Undergraduate Studies

at its meeting of November 15, 1983 gives rise to the following motion:-

MOTION:

"That Senate approve and recommend approval to the Board

of Governors, as set forth in S.83-98 , the proposed

New course MATH 452-3 - Set Theory."

Subject to the approval of this course by Senate and the Board

of Governors, the committee approved waiver of the normal two semester time

lag requirement to permit first offering of the course in Summer 84-2.

S

FOR INFORMATION

Acting under delegated authority at its meeting of November 15, 1983

the Senate Committee on Undergraduate Studies approved the following:-

i)

Change of titles -

MATH 272-3 From Introduction to Probability and Statistics

To Introduction to Probability and Statistics I

MATH 372-3 From Mathematics Statistics I

To Introduction to Probability and Statistics II

ii)

Revision and renumbering of the present MATH 375-3

From: MATH 375-3 Mathematics and Statistics II

Sampling Theory and Bayesian approaches to

inference. Types of probability distributions.

Bayesian decision theory. Methods of maximum

likelihood.

Illustrations of the different

methods.

Prerequisites: MATH 251-3 (or 253-4), and

272-3 (or 371-3). Students with credit for

MATH 489-3 may not receive credit for MATH 375-3.

To:

MATH 475-3 Decision Analysis and Bayesian Inference

Review of marginal and conditional distributions.

S

Prior, posterior and predictive distributions.

Utilities, decision analysis under certainty,

decision trees, backward induction. Bayesian

estimation and hypothesis testing, comparison

with classical methods.

-2-

MATH 475-3 (.contd.)

Prerequisites: MATH 372-3 (or cGrequisite by

permission of the instructor). Students with

credit for MATH 375-3 or 489-3 may not receive

credit for MATH 475-3.

Title change, description change, prerequisite change:

From: MATH 100-3 Survey of College Mathematics

This course is designed for students with

relatively weak mathematical backgrounds. It

will introduce them to applications of college

mathematics and prepare them for MATH 151-3,

154-3 or 157-3.

Prerequisites: B.C. High School Algebra 11

or permission of the department. Students

with B.C. High School Algebra 12, its equivalent

or any further university level Mathematics

courses (with the exception of MATH 190-3 or

191-3), may not normally take this course fot

credit.

Note: Students will not be permitted to register

concurrently for MATH 100 and any of MATH 144,

151, 154, and 157.

To:

MATH 100-3 Precalculus

Algebraic, exponential, logarithmic and

trigonometric functions and their graphs.

Conic sections.

Applications.

Prerequisites: B.C. High School Algebra 11

or permission of the Department. This course

may not be taken for credit by students who

already have credit for any Mathematics course

for which this course (or B.C. High School

Algebra 12) is a prerequisite.

Note: Students will not be permitted to register

concurrently for MATH 100 and MATH 144. Students

with grades of C or C+ in B.C. High School

Algebra 12 (or equivalent) intending to take

MATH 151, 154, or 157 must take MATH 100

concurrently or (preferably) before attempting

the Calculus courses. Students with grades

of D or P in B.C. High School Algebra 12

(or equivalent) intending to take MATH 151, 154,

or 157 must take MATH 100 before attempting the

Calculus courses.

0

S

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......

lrry• Evan.

.

Registrar

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

Graham, Chairman

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

Date.....PPP1. . .A.3...........................

The course MATH 452-3, Set Theory, received the approval of

the Faculty of Science on October 13, 1983. We would like to offer

this course for the first time in Summer 1984.

I wish to request a waiver of the Senate Regulation that pro-

vides for an eight month lead time between approval and first offer-

ing of this course.

is

A-C -

q

G.A. . Graham

GACG/pe 1

S

Dr. A. Sherwood, Chairman

Faculty of Science

Undergraduate Studies Committee

.COURSE PROPOSA.

I

.R Rout

Department of Mathematics

Undergraduate Studies Committee

..3

Attached is a proposal for a new 400-level course in set theory which

our department would like to have approved. The proposal involves no

additional resources. MATH 451-3 is currently offered every year.

If this proposal were adopted, MATH 451-3 and the new course, MATH 452-3,

would be offered in alternate years.

R. Routledge

RR/c11

0

Mathematics

MATH

452

3

3-0-0

SET THEORY

Introduction to Zermelo Fraenkel set theory.

MATH

242

or permission of department.

None.

2.

Every

2

years

84-2

Thomason, Lachlan, Mekier

Set theory provides the foundation for mathematics. For any student with

even a passing interest in the foundations of mathematics this course is

essential.

Faculty

None, since the frequency of MATH

451-3 will

be decreased.

Staff

5.

3ii

______

Course Description

is

Axioms and Operations

Relations and Functions

Natural Numbers

Construction of the Real Numbers

Cardinal Numbers and the Axiom of Choice

Ordering and Ordinals

Other topics as time permits

Text:

ELEMENTS OF SET THEORY, H. Enderton,

Academic Press, New York, 1977

.