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I.
PREREQUISITES
MATH 163A or an equivalent course. Students with credit for MATH 263A
or B
may not enroll in this course.
II.
COURSE DESCRIPTION
This course, as a continuation of MATH 163A, is designed expressly for
students majoring in business, management sciences, social sciences such
as economics and psychology, and life sciences and should prove to be
very useful and interesting. The course stresses the application of the
concepts of calculus to subjects such as business administration, economics,
finance, marketing, psychology, physics, biology, medicine, ecology, etc.
In essence, calculus is studied as a tool for solving problems encountered
in other disciplines, rather than as a branch of mathematics. Therefore,
this course avoids excessive mathematical rigor as well as involved mathematical
proofs. The emphasis is on applying calculus.
The course extends
the study of the concepts of calculus to include exponential and logarithmic
functions and their applications, the process of integration (antidifferentiation),
and the concept of the definite integral. Your primary goal should be
to master the tools of calculus and their application to word problems
related to the subjects mentioned above. The recommended textbook presents
the material in an intuitive way and illustrates the uses of calculus
through examples and discussion. Try to develop your skills in interpreting
word problems and applying calculus to achieve
their solutions.
III.
TEXTBOOK AND SUPPLIES
There are several
good textbooks available that cover the material of this course (see the
section on “Reference Textbooks” below). However, the examination
is based upon the following:
ISBN 0534339719
Taylor, Claudia D. and Lawrence Gilligan, Applied Calculus, 4th
ed., Pacific Grove, CA: Brooks/Cole Publishing Co., 1996
You may use a calculator
for your study and on the examination, although it may not be of great
help. The calculator must have only basic functions (a TI 30 or similar);
you may not use a TI-82, TI-85, TI-92 or similar models from Hewlett-Packard
or other manufacturers.
...available from
EdMap's distance-learning online
bookstore.
| STUDENTS
ARE STRONGLY ADVISED NOT TO BUY TEXTBOOKS UNTIL REGISTERED
IN COURSES AS REQUIRED EDITIONS CAN CHANGE WITHOUT NOTICE. |
IV.
SYLLABUS OF THE COURSE
The examination
will cover the following topics:
| Chapter
5, Exponential and Logarithmic Functions |
| |
Study
all five sections and the Chapter Review with emphasis on Section
5.5.
Notice that knowing sections 5.1-5.4 is required to understand 5.5. |
| Chapter
6, Integration and Applications |
| |
This
is the core chapter of this course. Study sections 6.1-6.5, omitting
the study
of volumes of solids. |
| Chapter
7, Additional Topics in Integration |
| |
Study
sections 7.1, 7.2, 7.4, and 7.5, paying special attention to 7.1 and
7.4. |
You may omit the
study of “Alternative Sections” from all assigned chapters.
Be sure that you learn the techniques of solving problems as illustrated
by “Examples” in the chapters and review the key ideas presented
in the “Chapter Review” for each assigned chapter. Also review
the rules of derivatives that you learned in MATH 163A. It will be to
your benefit to work the “Review Exercises” and “Chapter
Tests” for practice. I may select problems for the examination from
these sources.
V.
NATURE OF THE EXAMINATION
You must know all of the material from the syllabus above and a sample
examination
for your practice is provided. The
examination has a total of 100 possible points, divided as follows
| 1. |
A “true/false” problem and a “fill-in-the-blanks”
problem based on overall factual
knowledge of the course. (5 points each) |
| 2. |
Eight problems based on the rules of integration, exponential functions,
and
logarithmic functions, from Chapters 5, 6, and 7 of the text. (Total
credit, 60
points) |
| 3. |
Three additional problems drawn from all assigned sections of the
chapters, plus
an additional Bonus problem for extra credit. (Total credit, 30 points,
5 points for
bonus) |
You will be allowed
three hours to complete the examination. All materials will be provided;
you are not permitted to use books, notes, or supplementary aids, except
your calculator. Remember, your calculator must conform to the
requirements listed under III. of this Information Sheet.
VI.
A WORD OF ADVICE
Be sure that you are well-prepared and relaxed when you take the examination.
Browse and read the entire examination. Do not get nervous and panic if
it seems you cannot answer certain problems; if you stay calm and cool,
I am certain that you will be able to work all the problems. The problems
on the examination have various levels of difficulty; some will be trivial
or easy, others will be routine to challenging. To gain confidence, take
the Sample Examination that is included–but try to duplicate the
actual test situation by giving yourself a three-hour time limit and not
using any books or notes. Then check your answers against the key, and
re-study any sections for problems that you missed. In view of my long
experience of teaching, I would suggest that you take the sample examination,
check your answers, review what you missed, and then just relax! Sample Examination
VII.
GRADING CRITERIA
Assigned point credits for each problem will be indicated. You will earn
some “goodwill points” for neat and organized answers written
legibly and fully. Your final grade will be based on the percentage of
total credit points earned, using the following scale:
| |
90 -100 percent
80 - 89 percent
70 - 79 percent
60 - 69 percent
Below 60 percent |
= A
= B
= C
= D
= D- or F at instructor’s discretion (be aware
that
D- is not a passing grade at many schools) |
Plus or minus grades
may be assigned at the instructor’s discretion. Your instructor has
two weeks to grade and return your examination after receiving it from
the IDL office.
VIII.
REFERENCE TEXTS
There are
several texts which cover the material of this course syllabus. The following
are my recommendations (if you already have one of these texts, you may
use it in place of the required text, although you will have to determine
from the index where to find the topics covered on the examination).
Berresford, Geoffrey
C., Brief Applied Calculus, Houghton-Mifflin, 1996
Barnett, R. A.
and Michael R. Ziegler, Calculus for Business, Economics, Life Sciences,
and Social Sciences, 7th ed., Prentice-Hall, 1996
Ramaley, Applied
Calculus, Wm. C. Brown Company, 1996
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