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MTH142_Spring2008

# MTH142_Spring2008 - Class Syllabus MTH 142 Calculus I...

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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.

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Contact information My e-mail address is [email protected] . Please feel free to contact me by email.
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MTH142_Spring2008 - Class Syllabus MTH 142 Calculus I...

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