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
were known to the Greeks over
two thousand years ago and were later modified by Arab and Chinese civilizations over a
thousand years ago.
material is the typical subject of a
But the concepts of
, appearing in the seventeenth century,
revolutionized society and were the foundations for the modern industrial and
This course will examine mathematical concepts which developed during the 1600’s and
1700’s; concepts which
modern science and
instructor, I will attempt
to show you how useful (and exciting) this material is.
focus on understanding and applying the major concepts of
We will stress the
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
the concepts, you do
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.)
Students completing this course will demonstrate mastery of the following concepts:
the definition of the derivative, including its geometric interpretation,
methods of differentiation of elementary functions,
applications of the derivative to optimization problems,
the derivative as rate of change,
the integral as the “anti-derivative.”
Here are details about the mechanics of this course.
(Early Transcendentals), by Thomas, 11
(We will cover chapters 2 through 5.
Chapter 1 and Appendix B3 should be reviewed.)
MTH 163 (Plane trigonometry)
understanding of both algebra and trigonometry is essential for this course.