MATH 157 BASIC CALCULUS I, SPRING 2004

 

TEXTBOOK

 

:

CALCULUS, A Complete Course by Robert A. Adams (5th Edition)

REFERENCES

:

Calculus with Analytic Geometry by R. Silverman

Calculus with Analytic Geometry by R. Ellis & D.Gulick (5 th Edition )

Calculus with Analytic Geometry by Thomas & Finney (8th Edition)

 

INSTRUCTORS SECTION(S) RECITATION GROUPS  OFFICE OFFICE HOURS
Semra Kaptanoglu 01,02 (11,12,13,14),(21,22,23,24) M 137 Tue:10:40 --11:30 Tue:14:40--15:30 Thr:9:40--10:30
Abdurrahim Yilmaz 03 31,32,33,34 M 121 Mon:14:00-15:00 Tue:15:30-16:30   Thr:10:40

Course Schedule is here or in the following site:
http://www.metu.edu.tr (see the Offered Courses (Under Academics))

Office hour schedule of the assistants is here

Your name must be in one of the lists below, please check to learn what is your section.
Section 11
Section 12
Section 13
Section 14
Section 21
Section 22
Section 23
Section 24
Section 31
Section 32
Section 33
Section 34

 

 

 

GRADING AND EXAMS

There will be two midterm examinations, 55 points each, and one final examination, 70 points, and quizzes, 20 points. That means your overall grade will be determined by the total points you have gathered out 7of 200 points.


FINAL EXAM GRADES ARE POSTED ON THE BULLETIN BOARD IN THE MATH. BUILDING

THE EXAM ROOMS ARE ANNOUNCED IN THE MATH. DEPT. WHERE THE EXAM GRADES WERE POSTED

YOU CAN SEE YOUR EXAM PAPERS ON FRIDAY AND ON MONDAY, THE ROOMS AND TIMES FOR THAT ARE ALSO POSTED IN THE SAME BOARD

Make-up Exam will be on THURSDAY, June 10, at 18:00 , in M-105 (only for students whose excuse is approved)

Office hours of the assistants can be used during May 31--June 4.

Visit the page below for the courses given in the summer school (confirm the information given there with the Math. Dept. Secretary) http://www.math.metu.edu.tr/news/2004_summerschool.html

Corrections to the first exam grades: (not sorted)

Ozturk Esen 41
Onur Aslan 44
Yesim Ozavci 37
Mutlu Dogan 48
Mustafa Yilmaz 44
Hale Mahzeminli 49
Gulendam Baysal 44
Gonca Celik 46
Esra Zengin 42
Aygun Guney 34
Selen Arli 49
Erdem Baltali 45
Ece Handan Guleryuz 43
Irfan Bahadir 38
Jiang Li 36
Tevfik Tansu Ozturk 43
Ali Ozgur Ecevit 32
Berk Uzun 42
Utku Karani 47
Baris Ozturk 43
(no change in the others')

Five pop-quizzes will be given in the recitation hours, only the highest four will be counted. You SHOULD take them in the section you are registered! .

ONLY ONE MAKE-UP examination will be offered for the benefit of those students who, hopefully for good reasons, have been unable to attend any of the midterm or final examinations and have the CONSENT of your instructor. The make-up may not resemble the other examinations as regards its form and content and will take place shortly after the final exam. The grade obtained in the make-up examination will be treated as the grade obtained in the unattended examination.

IMPORTANT NOTE : If you want to be succesful in this or any mathematics course you should

1) STUDY REGULARLY, DO EXERCISES ON YOUR OWN BEFORE GOING TO THE
RECITATION HOURS (you CANNOT learn just by watching others). A subset of the exercises of each section of the book is selected, you should do these ecersices at the end of each section, preferably BEFORE going to the recitations.
------------------->> The list if the suggested Exercises is here. <<---------------

2) READ CAREFULLY the words "AND" , "OR", they should not be mixed up
3) BE AWARE OF THE FACT THAT " A implies B", is equivalent to, "not B implies not A"


 

 

                                  SYLLABUS

                        

Weeks

Dates

Sections Covered and Comments

 

1

Feb. 23-27

P-1, P-2, P-3 Prelimineries (*)

P-4. Functions and Their Graphs

P-5. Combining Functions to Make New Functions

2
March 1-5

P-6. The Trigonometric Functions

1.1. Examples of Velocity, Growth, Rate, and Area (*)

1.2. Limits of Functions

1.3. Limit at Infinity and Infinite Limits

3

March 8-12

1.4. Continuity

1.5. The Formal Definition of Limit

2.1. Tangent Lines and Their Slopes

4

March 15-19

2.2. The Derivative

2.3. Differentiation Rules ( Mathematical Induction (*) )

2.4. The Chain Rule ( Omit: Finding Derivatives by Comp. Alg. )

5

March 22-26

2.5. Derivatives of Trigonometric Functions

2.6. The Mean Value Theorem

2.8. Higher-Order Derivatives

6

March 29-Ap.1

 

2.9. Implicit Differentiation

2.10. Antiderivatives and Initial-Value Problems (Omit: Init.Val.Prob)

3.1. Inverse Functions

7

April 5-9

 

3.2. Exponential and Logarithmic Functions

3.3. The Natural Logarithm and Exponential

3.4. Growth and Decay (Only Theorems 4,5 and 6 will be covered )

8

April 12-16

3.5. The Inverse Trigonometric Functions (Use arc for inv.trig.fun.)

3.6. Hyperbolic Functions (Omit: Inverse Hyperbolic Functions )

4.1. Related Rates

9

April 19-23

4.2. Extreme Values

4.3. Concavity and Inflections

4.4. Sketching the Graph of a Function

10

April 26-30

 

4.5. Extreme Value Problems

 

11

May 3-6

 

4.7. Linear Approximations (Omit: An Application to Special Rel.)

4.8. Taylor Polynomials

4.9. Indeterminate Forms

5.1. Sums and Sigma Notations (*)

12

May 10-14

5.2. Areas as Limits of Sums (*)

5.3. The Definite Integral

5.4. Properties of Definite Integral

13

May 17-21

5.5. The Fundamental Theorem of Calculus

5.6. The Method of Substitution

5.7. Areas and Plane Regions

14

May 24-28

6.1. Integration by Parts

6.2. Inverse Substitutions

6.3. Integrals by Rational Functions

     (*)  This material will be studied by the student on his own.