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IZMIR UNIVERSITY OF ECONOMICS FACULTY OF ARTS AND SCIENCE DEPARTMENT OF MATHEMATICS COURSE SEMESTER INSTRUCTOR E-MAIL CLASS SCHEDULE OFFICE AND PHONE OFFICE HOURS Math 113 Calculus I FALL 2006 Uğur MADRAN ugur.madran(no.spam)ieu.edu.tr Monday 12:30-15:20 Office: A431 Phone: 521 Friday 08:30-11:20 COURSE OBJECTIVES This first part of two-tier course aims to provide basic and some further concepts of Mathematics such as functions and their graphs, limits and derivatives. TEXTBOOK Your basic textbook is “Calculus, A complete course” by Robert A.Adams, Sixth Edition, Addison Wesley, Longman. REFERENCE BOOKS AND JOURNALS “Thomas’ Calculus” Early Transcendentals 10th Ed., Finney, Weir & Giordano. COURSE GRADING Course grades will be based on a weighted composite of performance evaluations in several areas: Midterm Exams Final Exam Quizzes PERCENT 90-100 85-89 80-84 75-79 70-74 65-69 60-64 50-59 49 and below 40% 40% 20% GRADE 4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5 0.0 LETTER AA AB BB BC CC CD DD DF FF COURSE OUTLINE DATE WEEK 1 CHAPTER P WEEK 2 P-1 WEEK 3 1 WEEK 4 WEEK 5 WEEK 6 WEEK 7 1 2 2 2 WEEK 8 WEEK 9 WEEK 10 2 2 3 WEEK 11 3 WEEK 12 WEEK 13 4 4 WEEK 14 4 TOPIC Real numbers and the real line, Cartesian coordinates in the plane, Functions and their graphs Combining Functions to Make New Functions, Trigonometric functions Limits of functions, Limits at Infinity and Infinite Limits Continuity, The formal definition of limit, Review Tangent Lines and Their Slopes, The Derivative Differentiation Rules, The Chain Rule Derivatives of Trigonometric Functions, The Mean Value Theorem Higher Order Derivatives, Implicit Differentiation Antiderivatives and Initial Value Problems, Review Inverse functions, Exponential and logarithmic functions The Natural Logarithm and Exponential, The Inverse Trigonometric Functions Related Rates, Extreme Values Concavity and Inflections, Sketching the Graph of a Function Extreme value problems, Review RULES FOR ATTENDANCE: Attendance is an essential requirement of this course and is the responsibility of the student. Class begins promptly and you are expected to be present at the beginning and at the end of each class session. HOMEWORK POLICY: Homework problems are the best preparation for exams. You should try to work the homework problems without constant reference to the text or passively receiving help from others. I encourage to discuss problems with others, but you should try to do the actual problems yourself. If you have gotten the idea about how to solve a problem from another person or by looking things up in the text, try to do a related problem without outside aid. The content of this syllabus can be changed by the instructor at any timeby informing the related department’s head The student is supposed to be aware of the facts and notices written in this syllabus.