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To... SENATE, 

?

•0 ?

FronNATE cuMrrmE

C1 IJNDEWRADUATE STUDIES 

Course and Program Changes - 

Sub

ject..... .

Depart1IEnt..Oi..MathaticS

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

Date

......

18th 

November, 1976 

Action taken by the Senate Committee on Undergraduate 

Studies at its meeting of November 9, 1976 gives rise to the 

following motion: 

?

MOTION 

That Senate approve,and recommend approval by the 

Board of Governors, proposed Mathematics changes as set forth 

in S.76-tincluding i) change in Major program, ii)changë in 

Honors program, iii) change in Minor program, iv) title change 

for MATH.141-2, v) prerequisite change for MATH 320-3. 

a... 

?

'

Daniel R. Birch 

is

ams

çc?f

7a'—

• ?

SIMON FRASER UNIVERSITY

MEMORANDUM

F-76-15 

¶L.M. 

?

Webster ..................... ........... ......... ....................... ............. ........

Qea

...

Qf. ... S.c.i.enc.e

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

Subject....

...

Mathematics ... Calendar ... Changes ...... 

?

-

2.dqj-a

C-ddial.tc,r

N. Heath 

From

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

Administrative Assistant 

Date ......

..

7 .October..1976............................................................ 

The F.U.G.C.C. approved changes in the Mathematics Calendar entry as follows: 

1).

Proposed changes in degree requirements. See N.R. Reilly's memo 

dated 29 June 1976 (attached). 

2).

Change in course title of MATH 141-2. This change is depndent upon 

the approval of the proposed new course MATH 242-3. The rationale 

for the change is given in the documentation for MATH 242-. 

(see F-76-12j. A SCUS form is attached giving details of the change.. 

3).

Change in prerequisite of MATH 320-3. It is proposed to make MATH 

242-3 (subject to approval) or MATH 241-2 an additional prerequisite. 

The rationale for this change is given in the documentation' for 

MATH 242-3 (see F-76-12). A SCUS form is attached. 

CHANGE IN COURSE TITLE ONLY 

?

Appendix B3 

?

SENATE COMMITTEE ON UNDERGRADUATE STUDIES 

COURSE PROPOSAL FORM 

Calendar Information ? 

Department: 

partiTtent: Maatics 

Abbreviation Code:MATH Course Number:141-2 

?

Credit Hours: 

?

Vector: 2-1-fl 

Title of Course: Introduction to 

Pure Math em

a

tics ?

(formerly Pure Mathematics I) 

?

Calendar Description of Course: 

An introduction to some of the fundamental concepts of mathematics. 

Nature of Course 

?

Lecture/tutorial 

Prerequisites (or special instructions): 

?

B.C. High School Math 12, or MATH 100-3, 

or permission of the Department. 

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? 

.

?

Semester in which the course will first be offered? 

Which of your present faculty would be available to make the proposed offering 

possible: 

i. Objectives of the Course 

NOTE: Rationale for change in course title can be found in the covering memo. 

4.

Budgetary and Space Requirements (for information only) 

What additional resources will be required in the following areas: 

Faculty 

Staff 

Library 

Audio Visual 

Space 

Equipment 

5.

Approval 

Date: September 22,, 1976 

. ?, 

Department Chairman / 

?

Dean ? 

Chairman, SCUS 

SCUS 73-34b:- (When completing this form, for instructions see Memorandum SCUS 73-34a. 

Attach course outline). 

CHANGE IN PREREOUISITE ONLY 

?

Appendix B3 

SENATE COMMITTEE ON UNDERGRADUATE STUDIES 

.

?

COURSE PROPOSAL FORM 

Calendar Information 

?

Department: Mathematics 

Abbreviation Code:MATH Course Number:320-3 Credit Hours:3 

?

Vector:3-1-0 

Title of Course: ? 

Theory of Convergence 

Calendar Description of Course: 

Sequences and series of functions; uniform convergence; consequnces of 

uniform convergence; improper integrals; additional applications of convergence. 

Nature of Course ? 

Lecture/tutorial 

Prerequisites (or special instructions): Math 242-3 (or 241-2) and 

MATH

253-4. 

(former prerequisite: MATH 253-4) 

What course (courses), if any, is being dropped from the calendar if tl 

1

iis course is 

approved: 

1\irt

2. Scheduling 

How frequently will the course be offered? 

Semester in which the course will first be offered? 

. ?

Which of your present faculty would be available to make the proposed offering 

possible: 

i. Objectives of the Course 

Rationale for change in prerequisite can be found in covering memo. 

4. Budgetary and Space Requirements (for information only) 

What additional resources will be required in the following areas: 

Faculty 

Staff 

Library 

Audio Visual 

Space 

Equipment 

5. Approval 

Date: ? 

September 22, 1976 

Department Chairman 

?

ean

?

Chairman, SCUS 

SCUS 73-34b:- (When completing this form, for instructions see Memorandum SCUS 73-34a. 

Attach course outline). 

SiMON FRASER UNIVERSITY

MEMORANDUM

....David...Ry.eburn.................. 

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

. ?

Dr. ? 

N. R. 

?

Reilly. 

?

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

Chairman, Faculty of Science 

?

Chairman 

........Undxgruae....Cvxric....pConunite 

?

Mathematics Department 

Subject .............. P.r..p.o.s.e.dChange.s .... in Mathematics ............. 

.Date.....June 29, 1976 

?

.

..... 

Degree Requirements 

The Mathematics Department wishes to change the requirements 

for major and honors degrees in Mathematics and the requirements for 

a minor in Mathematics to those presented below. 

Proposed Mathematics degree requirements to replace those on pp. :372 and 373 

of

the 1976-1977 calendar. 

MAJORS AND HONORS 

• ? 

(i)

?

to obtain credit for Mathematics 151-3, 152-3, 232-3, 253-4 and at 

least 6 additional hours in Mathematics (MATH 100-3 and MATH 190-3 

may not be included) or Computing Science 103-3, 105-3. This 

requirement would normally be met by the end of the fourth level. 

Note: Students who have been or who have intended to be major or 

honors students in Biological Sciences programs and who hae 

satisfactorily completed MATH 154-3 or 155-3 will not 

take MATH 151-3 or 152-3 respectively. 

Students who have been, 

or who have intended to be,major or honors students in the social 

sciences and who have completed MATH 150-3 with a grade of A or B 

will not 

?

take MATH 151-3. 

(ii) 

to obtain at least six semester hours of credit in courses other 

than Mathematics offered by the Faculty of Science. (Physics 

courses which are recommended for the Applied Mathematics option, 

as described in the Student Guide issued by the Mathematics Department, 

can be used for the satisfaction of this requirement.) 

(iii) 

in

the case of major students - to obtain a total of at least 44 (B.Sc.) 

or 45 (B.A.) semester hours of credit in upper division courses, of 

which at least 30 hours must be 

in

upper division Mathematics courses; 

Mathematics majors will be required to take at least three 400 division 

courses. Any upper division courses used to satisfy condition (i) above 

may not be counted as part of the 30 hours, and MATH 302-3 and 450-8 

also may not be counted as part of the 30 hours. 

. ?

(iv) in the case of honors students - to obtain a total of at least 60 

semester hours of credit in upper division courses, of whi4h at 

least 50 hours must be in upper division Mathematics courses; Mathematics 

honors students will be required to take at least five 400division courses. 

Any upper division courses used to satisfy condition (i) aIove may not 

be counted as part of the 50 hours, and MATH 302-3 and 450-8 also may 

not be counted as part of the 50 hours. 

-2 - 

For the purpose of satisfaction of conditions (i), (iii) and (iv) above, 

PHYS 411-4 may be counted as a Mathematics course. 

Mathematics students are expected to obtain a grade of C- or better in their 

courses, as they will normally not he permitted to enrol in any Mathematics 

course for which a D grade or lower was obtained in any prerequisite. 

Mathematics Major and Honors students should consult an adviser in the 

Mathematics Department for further information before planning their 

programs in detail. Although no specified upper division courses are 

required in order to satisfy conditions (iii) or (iv) above, students will 

find that certain combinations of courses will form more cohesive programs 

than others. Reading the Student Guide issued by the Mathematics Department 

and discussing these topics with an adviser is highly recommended. 

MINOR PROGRAM 

(i)

to obtain at least 11 semester hours credit for Mathematics courses 

numbered 101 through 299 inclusive. These courses will normally 

include MATH 151-3 (or 150-3 or 154-3), 152-3 (or 155-3), and 232-3. 

(ii) 

to obtain credit in at least 15 semester hours of upper division 

Mathematics courses. These courses may not include MATH 30-3 or 

450-8, or PHYS 411-4. Students are cautioned that although overlap 

of content requirements between a minor program and a majoror 

honors program is permitted (i.e. if the same specific course is 

required for both programs, it need not be taken twice), thç 15 

hours of upper division credit referred to must be separateand 

distinct from the 28 to 30 hours of upper division credit required 

for the major or the 50 hours of upper division credit required for 

the honors degree. 

RATIONALE 

The

differences between the existing and proposed requirements are as follows. 

(1)

Section (i), on page 372 of the calendar, which reads 

(i)

to obtain credit by the end of the fourth level for the following lower 

division Mathematics courses: 

MATH 151-3, ? 

152-3, ? 

232-3, ? 

253-4 and at least three of MATH 141-2, 

?

142-2, 

161-3, ? 

180-3, ? 

194-3, ? 

(195-3), ? 

196-3, ? 

241-2, ? 

CMPT 103-3 

?

(or 102-2) ? 

and

CMPT 10573 (or 100-3). 

?

Of these three courses at most one may be a 

geometry course (MATH 194-3, 

?

195-3, ? 

196-3) and at most one may be a 

Computing Science course (CMPT 100-3, 

?

102-2, ? 

103-3, 

?

105-3). 

(In choosing courses from this list, students should note that MATH 161-3 

and 241-2 are prerequisites for certain upper division mathematics courses. 

In particular, honors students are advised that MATH 241-2 is a prerequisite 

for 421-4.) 

Note: ? 

Students who have been or who have intended to be major or 

honors students in Biological Sciences programs and who hav 

?

satisfactorily                                         

.

MATH 

MA ? 

154-3 or 155-3 will not have to take MATH 

15

: 1 - 3 . 

or 152-3 

-3-

.

respectively if they elect to change their major or honors programs 

to Mathematics. 

Students who have been, or who have intended to be, major 

,

or honors 

students in the social sciences and who have completed MATH 150-3 

with a grade of A or B will not have to take MATI-! 151-3. 

is to be replaced by 

(i)

to obtain credit for Mathematics 151-3, 152-3, 232-3, 

253L4 

and at 

least 6 additional hours in Mathematics (MATH 100-3 and MATH 190-3 may 

not be included) or Computing Science 103-3, 105-3. This requirement 

would normally be met by the end of the fourth level. 

Note: Students who have been or who have intended to be major or 

honors students in Biological Sciences programs and who have satisfactorily 

completed MATH 154-3 or 155-3 will not 

?

take MATH 151-3 or 152-3 

respectively if they elect to change their major or honor's programs 

to Mathematics. Students who have been or who have intended to be major 

or honors students in the social sciences and who have conp1eted MATH 150-3 

with a, grade of A or B will not 

?

take MATH 151-3. 

The principal effect of this change is to allow any additional ix hours of 

Mathematics courses (other than 100-3 or 190-3) or Computing Science 103-3 or 

• ? 

105-3 to be used in place of the three courses from a list of nine (141-2, 

142-2, 161-3, 194-3, 196-3, 241-2, Computing Science 103-3, and Computing Science 

105-3). Mathematics majors and honors students now are or soon will be able to 

pursue their studies with concentrations in Applied Mathematics, Computational 

Mathematics, Pure Mathematics, Statistics, or combinations of these fields, 

and whatever reasons there may have been for demanding course choices from 

the smaller list seem no longer to pertain. You will note that the six 

additional hours or work need not be chosen from lower divisional courses but 

if upper division courses are used to satisfy part or all of this requirement, 

such courses may not also be counted as part of the 30 or 50 hours of upper 

division work required under (iii) or (iv). 

The requirement that the courses referred to in (i) be completed by the end 

of the fourth level (an unenforceable one, unless we are to deny the opportunity 

to major or take honors in Mathematics to students completing 60 hours of work 

before meeting the requirement) is replaced by the recommendation that normally 

the courses will be taken by the end of the fourth level. 

(2) Section (ii), on page 372 of the calendar, which reads 

(ii) 

to obtain at least six semester hours of credit in courses other than 

Mathematics offered by the Faculty of Science. (Physics courses which 

are required for the Applied Mathematics option can be used for the 

satisfaction of this requirement.) 

• ? 

is to be replaced by 

(ii) to obtain at least six semester hours of credit in courses other than 

Mathematics offered by the Faculty of Science. (Physics courses which 

are recommended for the Applied Mathematics option, as described in 

.

?

4

the Student Guide issued by the Mathematics Department, can be 

used for the satisfaction of this requirement.) 

There is no real change here, since there never have been any Physics courses 

required for the Applied Mathematics option. This option is described in the 

Student Guide, not in the calendar, and to refer to it in the calendar without 

further comment is confusing. 

(3) Section (iii), on page 372 of the calendar, which reads 

(iii) 

in

the case of major students - to obtain a total of at least 45 (for 

the B.A. degree) or 44 (for the B.Sc. degree) semester hours of credit 

in upper division courses, of which at least 30 hours must be in upper 

division Mathematics courses. 

is to be replacd 

(iii) in the case of major students - to obtain a total of at least 44 (B.Sc.) 

or 45 (B.A.) semester hours of credit in upper division courses, of 

which at least 30 hours must be in upper division Mathematics courses; 

,Mathematics majors will be required to take at least three 400 division 

[Mathematics courses. Any upper division courses used to satisfy condition (i) above 

Tiiiay not be counted as part of the 30 hours, and MATH 302-3 and 450-8 

also may not be counted as part of the 30 hours. 

The condition that at least three upper division courses used to satisfy the 

30 hour requirement be at 400 division is new. With the increase in number of 

300 division courses offered by the department, it has become poss:ible to 

accumulate as many as 32 hours of 300 division credit (not counting Mathematics 

302-3). Until recently, no such regulation was needed, since not enough 

300 division Mathematics courses were offered to make it necessary. Generally 

speaking, 400 division Mathematics courses involve a higher degree of 

sophistication than 300 division courses, and the department believes that 

every Mathematics major should take at least three such 400 division courses. 

The. prohibition on the use of Mathematics 302-3 or 450-8 to satisfy the 30 

hour requirement merely repeats, under the overall degree requirements, 

prohibitions already stated under the individual calendar entries for these 

courses. 

The final sentence in the section is made necessary by the changes in section 

(1), as has been noted. 

(4) Section (iv), on page 372 of the calendar, which reads 

(iv) in the case of honors students - to obtain credit in the following upper 

division Mathematics courses: 

MATH 310-3, 312-4, 320-3, 421-4, 422-4, and at least one of431-4 or 

432-4. 

is to be replaced by 

-5-

.

(iv) 

in

the case of honors students - to obtain a total of at least 60 

semester hours of credit in upper division courses, of which at 

least 50' hours must be in upper division Mathematics courses; Mathematics 

honors students will be required to take at least five 400 division 

courses. Any upper division courses used to satisfy condition (1) above 

may not be counted as part of the 50 hours, and MATH 302-3 and 450-8 also 

maynot be counted as part of the 50 hours. 

The condition that at least five upper division courses used to stisfy the 

50 hour requirement be at 400 division is new. At the moment, since only 

32 hours are available at the 300 division (not counting Mathematics 302-3), 

the requirement is superfluous; four four-credit 400 division courses would 

only give 16 of the necessary 18 additional hours. This requirement would 

however no longer be superfluous if we were to introduce two more hours of 

300 division work. The reasons for insisting upon 400 division work are 

similar to those advanced for majors, and we believe that the number of such 

courses (five) is an appropriate minimum requirement for an honors degree. 

Current regulations require honors students to take certain specified courses 

(310-3, 312-4, 320-3, 421-4, 422-4, and at least one of 431-4 or 432-4); there 

is an escape clause allowing one or more of these courses to be waived for 

good reasons. The proposed regulations do not list any required upper division 

courses for honors students. The reasons for this change are the same as those 

is

advanced in support of the changes in section (i). 

(5)

Section (1), on page 373 of the calendar, dealing with the minor program, 

which reads 

(i) ? 

to obtain credit for 11 semester hours of mathematics courses 

numbered 101 through 299 inclusive. These would normally consist of 

the following courses: 

MATH 151-3 or 154-3, and 152-3 or 155-3, and 232-3, and either 

CMPT 103-3 (or CMPT 102-2) or MATH 161-3 or 241-2 or 253-4.' 

is to be replaced by 

(i)

?

to obtain at least 11 semester hours credit for Mathematics courses 

numbered 101 through 299 inclusive. These courses will normally include 

MATH 151-3 (or 150-3 or 154-3), 152-3 (or 155-3), and 232-3,. 

Note that the calculus and linear algebra requirements are the same, but under 

the proposal the remaining two or more hours may be chosen more freely. For 

some students (for example, those interested in certain aspects of statistics 

or of computational mathematics) the choices of Computing Science 103-3 or 

Mathematics 161-3, 241-2, or 253-4 may not be the best ones. 

(6)

Section (ii), on page 373 of the calendar, which reads 

. (ii) to obtain credit in at least 15 semester hours of upper division 

Mathematics courses. (PHYS 411-4 may not be used to satify this 

requirement.) (Students will be expected to complete all of the 

-6 - 

prerequisites for those upper division mathematics courses they 

wish to include in their minor programs.) 

is to be replaced by 

(ii) 

to obtain credit in at least 15 semester hours of upper di'ision 

Mathematics courses. These courses may not include MATH 302-3 or 

450-8, or PHYS 411-4. Students are cautioned that although overlap 

of content requirements between a minor program and a major or honors 

program is permitted (i.e. 

if the same specific course if required 

for both programs, it need not be taken twice), the 15 hours of 

upper division credit referred to must be separate and distinct from 

the 28 to 30 hours of upper division credit required for the major 

or the 50 hours of upper division credit required for the Honors 

degree. 

The prohibition on the use of Mathematics 302-3 or 450-8 to satisfy the upper 

division requirements for a Mathematics minor parallels the ones in Sections 

(iii) 

and (iv) of the requirements for majors and honors student. Its absence 

from the current calendar is an oversight. The status of Physics 411-4 for a 

minor in Mathematics is unchanged. The statement about upper division credit 

hour overlap makes clear to prospective Mathematics minors a general University 

policy about which there has been some confusion in the past; it might be well 

. ?

for the University to make this policy better known to students in other 

disciplines too, but until that is done we should like to protect our own students 

by bringing this regulation to their attention. 

N.R. Reilly 

NRR/lh 