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Victor Camacho
University of Utah
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Math 1210-007: Calculus IFall 2010Course Description: In this course you will learn about the fundamentals of calculus. We begin by reviewing basic properties of functions and their corresponding graphs. This will very naturally lead into a discussion about limits which is a difficult concept to master for some as it is the first branching point away from how you are accustomed to thinking about mathematics in earlier classes. However, once you have a firm grasp of limits, many of the following topics will seem easy by comparison. Limits provide us with the mathematical tools necessary to determine the slope or rate of change of many types of functions in a process known as differentiation. In this course you will learn how to differentiate polynomial, rational and trigonometric functions. You will understand how to use this concept in order to answer questions regarding velocity, acceleration, optimization and much more. One can also study an important topic known as integration, which is the reverse of differentiation, also referred to as anti-differentiation. After learning about the Fundamental Theorem of Calculus you will realize that anti-differentiating can be used to calculate the area of irregular shapes, which can be naturally extended to calculate the volume of certain irregular solids. Additionally you will learn about many of the important applications of integration in physics and engineering. Finally, you will be given a brief introduction to differential equations. In algebra you are given an equation involving a variable and are asked to find the value of the variable that satisfies the equation. With differential equations you are given an equation involving a function and its derivatives and asked to find the function that satisfies the equation. Textbook: Calculus with Differential Equations by Varberg, Purcell & Rigdon (9th ed.) (ISBN: 9780132306331) Schedule: MTWF 8:35 AM - 9:25 AM in HEB 2006 Office Hours: Wednesdays 10:30 AM - 11:30 PM & Thursdays 10:00 AM - 12:00 PM Final Exam: Thursday, December 16th 8:00 AM - 10:00 AM in HEB 2006 Webwork: (Basic Help) (WebWork Wiki) (Login Page)
Common Misconceptions About Mathematics
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