Instructors's Syllabus for Math 234

Math 234. Calculus for Social Scientists I
Syllabus for Instructors

Text: Goldstein, Lay, and Schneider, Calculus and its Applications, Prentice-Hall, 10th edition, 2003.

CHAPTER LECTURES TA HOURS
(mostly for doing problems)

0. Functions (1) 0.3, 0.5 (emphasize composition of functions) 0.1, 0.2, interval notation

1. The Derivative (2) (1.1, 1.2), 1.3
(3) 1.4, 1.5
(4) 1.6, 1.7
(5) 1.8

2. Applications of the Derivative (6) (2.1), 2.2, 2.3
(7) 2.5, 2.6
(8) 2.7 (possibly leave out some of 2.6, but do NOT skip 2.7) 2.4 (there's too much curve sketching in the book)

3. Techniques of Differentiation (9) 3.1, 3.2

(10) 3.3 apply chain rule, include examples where
f (g(x)) = x

4. The Exponential and Logarithm Functions
(11) (4.1), 4.2, 4.3

(12) 4.4, 4.5
review laws, deal with exponents

4.6, properties of ln

5. Applications of the Exponential
and Logarithmic Functions (13) 5.1, 5.2
(14) 5.3 (applications to economics,
elasticity of demand)
(15) 5.4 (other exponential models - may be omitted)

6. The Definite Integral (16) 6.1
(17) 6.2, 6.3 (don't spend much time on Riemann sums)
(18) 6.5
(19) 9.1 (substitution)
(20) 9.6, 12.2 (improper integrals & probability)

6.4 (there is too much of this)

7. Functions of Several Variables (21) 7.1, 7.2
(22) 7.3 (unconstrained optimization)
(23) 7.4 (Lagrange multipliers)
(24) 7.4 (Lagrange multipliers)
(25) 7.7 (double integrals - if time permits)

The leeway is 3 hours for MW lecture sections and 4 hours for TuTh lecture sections; however (at least) 3 of these are needed for 1-hour tests.

Remarks:

This course is intended primarily for students in commerce and the social sciences. Emphasis should be placed on techniques and applications, not on theoretical aspects. The examples should, whenever possible, be taken from relevant fields.
No knowledge of trigonometry can be assumed.
At least three hours exams should be given. The syllabus above indicates a suggestion for three exams. If four hour tests are desired, an approach might be to place Test #3 after Integration and Test #4 after Chapter 7.
Homework and/or a quiz should be given and graded in each non-exam week. Regular feedback is essential!
You might consider a "diagnostic test" (one that is NOT counted) right away at the beginning of the semester and use it to decide what and how much of Chapter 0 is needed.

Courses webpage
Department of Mathematics

Last modified 1/18/05; approved by R. Muncaster, Assoc. Chair, Department of Mathematics.

CHAPTER	LECTURES	TA HOURS (mostly for doing problems)
0. Functions	(1) 0.3, 0.5 (emphasize composition of functions)	0.1, 0.2, interval notation
1. The Derivative	(2) (1.1, 1.2), 1.3 (3) 1.4, 1.5 (4) 1.6, 1.7 (5) 1.8
2. Applications of the Derivative	(6) (2.1), 2.2, 2.3 (7) 2.5, 2.6 (8) 2.7 (possibly leave out some of 2.6, but do NOT skip 2.7)	2.4 (there's too much curve sketching in the book)
3. Techniques of Differentiation	(9) 3.1, 3.2 (10) 3.3	apply chain rule, include examples where f (g(x)) = x
4. The Exponential and Logarithm Functions	(11) (4.1), 4.2, 4.3 (12) 4.4, 4.5	review laws, deal with exponents 4.6, properties of ln
5. Applications of the Exponential and Logarithmic Functions	(13) 5.1, 5.2 (14) 5.3 (applications to economics, elasticity of demand) (15) 5.4 (other exponential models - may be omitted)
6. The Definite Integral	(16) 6.1 (17) 6.2, 6.3 (don't spend much time on Riemann sums) (18) 6.5 (19) 9.1 (substitution) (20) 9.6, 12.2 (improper integrals & probability)	6.4 (there is too much of this)
7. Functions of Several Variables	(21) 7.1, 7.2 (22) 7.3 (unconstrained optimization) (23) 7.4 (Lagrange multipliers) (24) 7.4 (Lagrange multipliers) (25) 7.7 (double integrals - if time permits)

Math 234. Calculus for Social Scientists I Syllabus for Instructors

Courses webpage Department of Mathematics

Math 234. Calculus for Social Scientists I
Syllabus for Instructors

Courses webpage
Department of Mathematics