Class Syllabus
MTH 142, Calculus I
Spring 2008, Sam Houston State University
Section 01, LDB 400, 8 AM, MoTuWeTh
Dr. Ken W. Smith
An exciting course!
Most of the essential concepts of
algebra
and
geometry
were known to the Greeks over
two thousand years ago and were later modified by Arab and Chinese civilizations over a
thousand years ago.
That
material is the typical subject of a
high school
math
curriculum.
But the concepts of
calculus
, appearing in the seventeenth century,
revolutionized society and were the foundations for the modern industrial and
technological revolutions.
This course will examine mathematical concepts which developed during the 1600’s and
1700’s; concepts which
created
modern science and
changed
the world!
As your
instructor, I will attempt
to show you how useful (and exciting) this material is.
We will
focus on understanding and applying the major concepts of
differential calculus
and
integral calculus
.
No magic!
We will stress the
understanding
of the class material.
We will avoid “magic”, that is,
we will avoid mechanical memorized formulae.
There is very little to “memorize” in this
class – if you
understand
the concepts, you do
not
need to
memorize
.
Basic introduction to differential calculus
This course will introduce you to the basics of differential calculus, including limits,
continuity, and the derivative.
We will develop techniques for differentiation of
algebraic, logarithmic, exponential and trigonometric functions.
We will explore
applications of the derivative.
Finally, we will develop the anti-derivative (the integral.)
Course objectives
Students completing this course will demonstrate mastery of the following concepts:
a.
limits,
b.
continuity,
c.
the definition of the derivative, including its geometric interpretation,
d.
methods of differentiation of elementary functions,
e.
applications of the derivative to optimization problems,
f.
the derivative as rate of change,
g.
the integral as the “anti-derivative.”
Here are details about the mechanics of this course.
Textbook:
Calculus
(Early Transcendentals), by Thomas, 11
th
edition, 2006.
(We will cover chapters 2 through 5.
Chapter 1 and Appendix B3 should be reviewed.)
Prerequisites:
MTH 163 (Plane trigonometry)
or
the equivalent.
A
good
understanding of both algebra and trigonometry is essential for this course.