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SENATE ? 

SENATE COMMITTEE ON UNDERGRADUATE 

To ? .. ?

From

STUDIES 

1. MATH 158-3 - NEW COURSE 

Subjec. MATH 157-3 (RENUMBERING OF MATH. 150.),.. Date.. JUNE 16, 1977— 

3. PREREQUISITE CHANGES 

MOTION: 

?

"That Senate approve and recommend approval to the 

Board of Governors, as set forth in S-77-84, 

1.

The new course, MATH 158-3 - Calculus for Social Sciences II 

2.

The renumbering of MATH 150-3 to MATH 157-3 

3.

The changes in prerequisites arising from the above." 

.

(SCUS approved waiver of the time lag requirement in order that 

these changes may be effective from Spring 78-1. If the changes 

are approved the adjusted prerequisites would be included in 

Course Guide.) 

SiMON FRASER UNIVERSITY

SCUS 77-29

•

MEMORANDUM

Evans       

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

........

.

Secretary

...toscus..... ........ ...... 

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

Subject.....c.... MATh

.15.8.3...................... 

From ....

.

J.M. Webster 

Dean 

of ... Science... ..... ................. 

Date ..... ?

.

May30,. 1977.................................. 

The attached proposal for a new course MATH 158-3, "Calculus 

for Social Sciences" was approved by the Faculty of Science at its 

meeting of May 19, 1977 and is forwarded herewith for further con- 

sideration by the Senate Committee on Undergraduate Studies. We are 

requesting a waiver of the time lag requirement in order that this course 

course may be offered in the Spring Semester 78-1. Also attached is 

a proposal for change of number for MATH 150-3 to MATH 157-3. 

W

J.M.Webster 

JMW/pel 

End. 

AR'S C. 

w

?

TR ? 

.1

U,

.

AIr

SiMON FRASER UNIVERSITY

MEMORANDUM

fo ? 

r. N 

Reilly, Chairman 

.Mathematics 

... Department ? 

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

MATH 158-3 

Subiect .... ............. .... .... . .......

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

CALCULUS FOR SOCIAL SCIENCES 

From

Y

Shen, Chairman 

Undergraduate Studies Committee 

Mathematics Department 

Date

April

5,. 1977 

(revised April 26, 1977) 

Based on the increasing enrollment in Math 150-3 (for example, 

Spring 75, 76, 77 the enrollments were 58, 90, and 111, respectively), the 

Undergraduate Studies Committee formed a sub-committee to determine whether 

a follow-up course would be feasible. An informal survey taken from students 

revealed that they would be interested in such a follow-up course. Also 

certain other departments (e.g. Geography, Economics) were consulted and 

they favored the idea of such a course 

For these reasons we feel there is a market for this course as well 

as practical merit. 

We will re-number Math 150-3 to MATH 157-3 (Calculus for Social 

Sciences I) so that the two courses will be in sequence. 

With this course being offered once a year, we plan to cut back 

on the frequency of offering Math 154-3 and 155-3 (Calculus for the Biological 

Sciences). 

If the Math 157-3 and 158-3 course proposals are approved, further 

calendar changes will be required for those courses which have lower level 

calculus prerequisites. Specifically the changes required are as follows: 

l ?

Math 151-3 prerequisite statement "Students who have 

obtained credit for Math 150-3 or 154-3 cannot receive 

credit for 151-3" Should now read: 

"Students who have obtained credit for Math 154-3 or 

?

157-3 (or 150-3) cannot receive credit for 151-3" 

2. ? 

Math 152-3 prerequisite statement "Math 150-3 (with a 

grade of A or B) or 151-3 or 154-3. Students who have 

obtained credit for Math 155-3 cannot receive credit 

for 152-3" Should now read: 

"Math 151-3 or Math 154-3; or, with a grade of A or B 

Math 157-3 (or 150-3) 

?

Students who have obtained 

credit for Math 155-3 or 158-3 cannot subsequently 

receive credit for 152-3" 

2

Dr. N. Reilly 

?

Page 2 

3 Math 154-3 prerequisite statement "Students who have 

obtained credit for either Math 150-3 or 151-3 cannot 

receive credit for 154-3." Should now read: 

"Students who have obtained credit for either Math 

151-3 or 157-3 (or 150-3) cannot receive credit for 

Math 154-3" 

4 ?

Math 155-3 prerequisite statement "Math 150-3 (with a 

grade of A or B) or Math 151-3 or 154-3." Should now read: 

"Math 151-3 or 154-3; or, with a grade of A or B, Math 157-3 

(or 150-3), Students who have received credit for Math 152-3 

or 158-3 cannot subsequently receive credit for Math 155-3," 

5, Math 190-3 prerequisite statement "those students who 

have received credit for Math 150-3, 151-3 or 154-3 

and those who are Mathematics Major or Honor students 

cannot take this course for credit,," Should now read: 

"Those students who have received credit for Math 151-3 

or 154-3 or 157-3 (or 150-3) and those who are Mathematics 

Major or Honor students cannot take this course for credit." 

6. Math 232-3 prerequisite statement "Math 150-3 or 151-3 or 

.

?

154-3." Should now read: 

"Math 151-3 or 154-3 or 157-3 (or 150-3)." 

7, ? 

Math 242-3 prerequisite statement "Math 152-3 or 155-3 must 

precede or be taken concurrently". Should now read: 

"Math 152-3 or 155-3 or 158-3 must precede or be taken concurrently." 

B. ? 

Math 253-4 prerequisite statement "Math 152-3 or 155-3." 

Should now read: 

"Math 152-3 or 155-3 or, with a grade of A or B, Math 158_3.tl 

9. ? 

Math 371-3 prerequisite statement "Math 152-3 or 155-3." 

Should now read: 

"Either Math 152-3 or 155-3 or 158-3. 

\

C.Y. She 

h-)

CYS/dr 

0

Appendix B3 

SENATE COMMITTEE ON UNDERGRADUATE STUDIES 

COURSE PROPOSAL FORM 

i Calendar Information 

?

Department: MATHEMATICS 

Abbreviation Code: 

MATH 

Course Number: 158 

?

Credit Hours:3 

?

Vector: 3-1-o 

Title of Course: ? 

Calculus for Social Sciences II 

Calendar Description of Course: Theory of integration and its applications; intro- 

duction to differential equations with emphasis on some special first order equations 

and their applications to economics and social sciences; algebraic operations with 

matrices, systenE of linear equations, determinants, discussion of linear programming. 

Nature of Course Lecture/Tutorial 

Prerequisites (or special instructions): 

MATH 151-3 or 154-3 or 157-3 (or 150-3) . Students who have received credit 

for Math 152-3 or 155-3 cannot subsequently receive credit for Math 158-3. 

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? Spring 1978 

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

possible: Drs. Bojadziev, Freedman, Gerber, Shen and others 

3. Objectives of the Course 

(i) To discuss integral calculus and its applications; consequently, to provide, 

together with Math 157-3, the students with a more complete treatment of calculus. 

(ii) 

To familiarize the students with the particular areas of mathematics, such as 

differential equations, linear algebra, which are of special use to a social 

scientist or economist. 

4. Budgetary and Space Requirements (for information only) 

What additional resources will be required in the following areas: 

Faculty - If this course is offered once a year and no additional faculty is granted, 

we plan to cut back on the frequency of offering Math 154-3 and 155-3 (Calculus 

Staff ? 

for the Biological Sciences). 

Library \ 

Audio visual NONE 

Space 

Equipment/ 

5. Approval 

Date: 

De ? 

Dean 

Chairman, 

?

SCUS 

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

Attach course outline). 

a

MATHEMATICS 158-3 

CALCULUS FOR SOCIAL SCIENCES II 

NTEGRAL CALCULUS: 

1.

The indefinite integral 

2.

Formulae for integration 

3.

Integration of e g(x) 

4.

Integration by parts 

5.

Applications of the indefinite integral 

6.

Fundamental Theorem of the Calculus and its relation to areas 

7.

Area between two curves 

8.

Improper integrals 

9.

Application of definite and improper integrals, especially to 

probability theory (e.g. continuous probability distributions, 

random variables and expectations) 

10.

Numerical methods 

SOME ASPECTS OF LINEAR ALGEBRA: 

11.

Matrix addition, multiplication, and applications 

12.

Systems of linear equations and applications 

13.

Reduced matrix, Gauss-Jordan elimination method 

14.

Inverse of a matrix by elementary row operations 

15.

Determinants 

16.

Cofactor expansion of a determinant. Finding the inverse 

of a matrix by using cofactors. 

*17. Eigenvalues and eigenvectors of a matrix and their applications 

18.

Discussion of linear programming 

ONTRODUCTION TO FIRST ORDER DIFFERENTIAL EQUATIONS: 

19.

Differential equations - general and particular solutions, 

initial value problems 

20.

Separation of variables. The differential equation dx/dt = ax 

(equation of natural growth and decay) 

21.

The differential equation dx/dt = kx(L-x) 

22.

Malthus vs. saturation and the logistic curve. Growth of population, 

industries, railroad networks, sales of new products, numbers 

entering new professions, the development of a technology, etc. 

23.

Disturbing forces: dx/dt = kx(L-x) + F(t) 

24.

Systems of first order linear differential equations with 

constant coefficients 

25.

Species competition 

26.

Richardson's theory of war modeled by dx/dt = ky-ax+g, dy/dt lx-y+h 

27.

Applications in economics 

PREREQUISITES: MATH 151-3 or MATH 154-3 or MATH 157-3 (or Math 150-3) 

TENTATIVE TEXTBOOK: Mathematics for Economists by Taro Yamane 

?

PUB: Prentice-Hall 

OR as listed on Textbook list in Mathematics Department 

* optional 

.

4/77 

Appendix B3 

SENATE COMMITTEE ON UNDERGRADUATE STUDIES 

COURSE PROPOSAL FORM - RE-NUMBERING OF A COURSE 

?

Calendar Information 

Department: MATHEMATICS 

Abbreviation Code:MATH Course Number:157 

?

Credit Hours:3 

?

Vector:3-1-0 

Title of Course: Calculus for Social Sciences I 

Calendar Description of Course: as for Math 150-3 

Introduction to those concepts of differential calculus that are of 

value in the social sciences. 

Nature of Course Lecture/Tutorial 

Prerequisites (or special instructions) : as for Math 150-3 

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

Students who have obtained credit for MATH 150-3 or MATH 151-3 or MATH 154-3 cannot 

subsequently received credit for MATH 157-3 

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

approved: 

MATH 150-3 

2. Scheduling 

How frequently will the course be offered? Twice a year 

Semester in which the course will first be offered? -     

177e

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

possible: Drs. Bojadziev, Freedman, Gerber, Shen and others 

3.

Objectives of the Course as 150-3 (as previously stated) 

4.

Budgetary and Space Requirements (for information only) 

What additional resources will be required in the following areas: 

Faculty 

Staff 

Library 

Audio Visual ? 

NONE 

Space 

Equipment ) 

5.

Approval 

Date: 

De

- ?

D6 an ? 

Chairman, SCtJS 

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

Attach course outline). 

p

. ?

MATHEMATICS 157-3 

Calculus for Social Sciences I 

1.

Functions 

2.

Graphing of functions 

3.

The slope of a straight line 

1. The equation of a straight line 

5.

Limits 

6.

Application of Limits 

7.

Continuity 

8.

The derivative 

9.

Application of the Derivative 

10.

Maximum and Minimum Points 

11.

Curve Sketching 

12.

Higher Derivatives 

13.

Functions of Several Variables 

1. The maximum and minimum of a function of two independent variables 

15.

Differentiation of implicit equations using partials 

16.

Logarithms 

17.

Differentiation of Logarithmic functions 

TEXTBOOK: Elementary Calculus for Business, Economics and Social Sciences 

by Chaney Anderson and B.C. Pierce, Jr. 

PUB: Houghton Mifflin 

OR as listed on the Textbook list in the Mathematics Department 