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NEAR EAST UNIVERSITY FACULTY OF ARTS and SCIENCES

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SYLLABUS FALL- 2015

NEAR EAST UNIVERSITY

FACULTY OF ARTS and SCIENCES

DEPARTMENT OF MATHEMATICS

M 109 Analysis I (4,2,0)

Aim of the Corse:The development of calculus in the 17th Century represents one of the greatest intellectual accomplishments in human history. Today, calculus provides students with necessary foundation, understanding and skills that are needed to be successful in college courses such as physics, chemistry, engineering and business (economics and marketing). The objective of this course is to introduce the fundamental ideas of the differential and integral calculus of functions of one variable.

Schedule : 09:00-10:30 Monday, 09:00-10:30 Wednesday, 12:30-14:00 Thursday Prerequist :-

Name Of Lecturer :Assoc.Prof.Dr. Evren Hınçal E- mail address :evrenhincal@yahoo.co.uk Office Phone : (0392) 223 64 64 ext: 502 Office Hours : Tuesday:14:00-15.30

Course Book :A Complete Course, Calculus, 7th ed., by Robert A. Adams. Addison-Wesley Publishing Co.

Source Book (s) :1. Calculus Third Edition Smith-Minton, McGraw Hill

2. Calculus 8th Edition Howard Anton, Irl Bivens, Stephens Davis, Wiley

Assessment Methods

Assessment Method Grade (%) Date Week

Midterm 1 25%

Midterm 2 20%

Homework 10% (if midterms average is 70 %)

Final 55%

(2)

Course Contents:

Weeks Chapters/ Sections Topics

1 22.09.2014

P1-P3

Preliminaries

2 29.09.2014

P4-P7

Preliminaries

3 06.10.2014

1.1-1.3 Limits and Continuity

4 13.10.2014

1.4-1.5, 2.1 Limits and Continuity Differentiation 5

20.10.2014

2.2-2.4 Differentiation

6 27.10.2014

2.5-2.7 Differentiation

7 03.11.2014

2.8-2.10 Differentiation

8 10.11.2014

3.1-3.4 Transcendental Functions

9 17.11.2014

MIDTERM EXAM WEEK 10

24.11.2014

3.5-3.6 Transcendental Functions

11 01.12.2014

4.1 Applications of Differentiation

12 08.12.2014

4.2-4.4 Applications of Differentiation

13 15.12.2014

4.5, 4.7-4.9 Applications of Differentiation

14 22.12.2014

5.1-5.3,5.4,5.5 Integration

15 29.12.2014

5.6,5.7,6.1,6.2 Integration

16 5.01.2015

FINAL EXAM WEEK

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