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Unformatted text preview: MAT 101: Introduction to Calculus & Analytic Geometry Syllabus  Fall 2006 Blair D. Sullivan [email protected] 1 Essential Course Information 1.1 Instructor Contact Info: Instructor: Blair D. Sullivan Office: Fine 311 Office Hours: Mon/Wed 1111:30 AM; Tues/Thurs 23 PM Email: [email protected] Phone: 609 258 6468 1.2 Grader Contact Info: Grader: Atoshi Chowdhury Email: [email protected] 1.3 Class Time/Location: Meetings: 10:00–10:50 Monday, Wednesday, & Friday Location: Jadwin A08 1.4 Textbook/References 1. Calculus: Early Transcendentals , Vol. 1  Custom Edition for Princeton, Pearson, 2006. 2. A. Banner (2005) Lecture Notes . 3. D.P. Story (2000) Algebra Review in Ten Lessons . The manuscripts for 2 and 3, as well as additional course references can be found at: http : //blackboard.princeton.edu . There is also a course website with the syllabus and essential information at: http : //www.math.princeton.edu/ ∼ bdowling/mat 101 .html . 2 Course Description How can you tell if this math class is right for you? In this class, we assume no previous knowledge of calculus, only familiarity with basic aspects of algebra and trigonometry (which we will review). The sequence MAT 101102 is intended to cover the same material as MAT 103 (perhaps with some additions). In fact, the university counts MAT 101102 as formally 1 MAT 101, Fall 2006 — Blair D. Sullivan 2 equivalent to MAT 103. We will cover approximately the first three and a half chapters of Thomas’ Calculus , as well as the preparatory material in D.P. Story’s Algebra Review . This course will concentrate mainly on application, with theoretical aspects being intro duced as necessary. In high school, you perhaps studied the notion of a function as a rule describing how one quantity varies with respect to another. In this course, we will make a detailed study of functions of one variable concentrating in particular on ways to quantify how things change . The main goal of the class is to introduce and study the properties of the derivative of a function as a tool for solving certain concrete problems (e.g. optimization). The first few classes will provide an accelerated review of notions from precalculus and high school mathematics. We will start with lines in the Cartesian plane, and their properties. These form the building blocks for much of calculus, and offer intuition into the more abstract concepts that follow. From lines, we will move on to the abstract definition of a function in one variable, and introduce more important examples  polynomials, trig functions, and exponentials. For these basic classes of functions, we will determine the average rate of change, and use this as a stepping stone into the central notion of this course: the derivative of a...
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This note was uploaded on 06/05/2008 for the course MAT 101 taught by Professor Sullivan during the Spring '07 term at Princeton.
 Spring '07
 Sullivan
 Calculus, Geometry

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