Download department of mathematics

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.
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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.