MARMARA UNIVERSITY  -  Faculty of Engineering

Computer Science Engineering

SYLLABUS

2009-2010   Spring  Semester

Course Code

Course Name

Course Type

Weekly Course Hours

Credits

ECTS

Campus / Weekly Time & Classroom Schedule

T

A

L

MATH101

Calculus I

Compulsory

4

0

0

4

8

MC270 Monday 8:30-10:20-MC270 Friday 08:30-10:20

Prerequisite

None

Prerequisite to

-

Course Lecturer

Mustafa Cem Çelik

Office Hours Schedule

10:30-:12:20 Monday

10:30-12:20 Friday

E-mail

cem@marmara.edu.tr

Phone

0216 418 23 57  # 1189

Office / Room No

MC 562

Teaching Assistant(s)

-

Phone

-

E-mail

-

Office / Room No

-

Course
Objectives

The students should be calculating derivatives and integrals of various functions, solving optimization problems and evaluating various applications related to calculus. 

Textbooks
and/or
References

1.

Calculus, George B.Thomas, Jr and Ross L. Finney, Addison-Wesley Publishing Company

 

 

 

 

WEEK

Date

TOPICS

Reference No - Section

Week 1

22.02.2010

Preliminaries

1

Week 2

01.03.2010

Limits and Continuity, Rates of Change, Vertical Asymptotes

1

Week 3

08.03.2010

Differentiation, Rate of Change, Trigonometric Functions, Chain Rule

2

Week 4

15.03.2010

Derivatives, Parametric Equations, Implicit Differentiation

2

Week 5

22.03.2010

Applications of Derivatives: Extreme Values, Curve Sketching

3

Week 6

29.03.2010

Optimization Problems, L’Hôpital’s Rule, Newton’s Method

3

Week 7

05.04.2010

Integration: Antiderivatives

4

Week 8

12.04.2010

Study Week

 

Week 9

19.04.2010

Midterm

 

Week 10

22.04.2010

Definite Integral, Indefinite Integrals and the Substitution Rule

4

Week 11

26.04.2010

Applications of Integrals: Area Between Curves, Volumes by Slicing & Shells

5

Week 12

03.05.2010

Moments and Centers of Mass, Fluid Pressures and Forces

5

Week 13

10.05.2010

Transcendental Functions: Natural Logarithms, Exponential Function

6

Week 14

17.05.2010

Exponential Growth and Decay, Inverse Trigonometric Functions,

6

Week 15

24.05.2010

Hyperbolic Functions, Techniques of Integration: Partial Fractions

7

Week 16

31.05.2010

Numerical Integration, Linear Differential Equations

7

Week 17

07.06.2010

Study Week

7

Week 18

14.06.2010

Final

 

Evaluation
Tools

Evaluation Tool

Quantity

Date

Weight in
Total (%)

Weight in
Semester Evaluation (%)

Final Exam

1

 

40

0

Final Make-up Exam (if exists)

1

-

40

0

Semester Evaluation

60

100

Midterm(s)

2

 

50

83,3

Quiz(es)

1

 

10

16,7

Project(s)

 

 

 

 

Homework(s)

 

 

 

 

Laboratory

 

 

 

 

Other

 

 

 

 

 

***     Lifelong Learning Programme (LLP)     ***

Language of Instruction:

English

Evaluation Tool

Quantity

Student Workload Hours

 

Evaluation Tool

Quantity

Student Workload Hours

Theoretical Hours

--

72,0

 

Applied Hours

--

0,0

Midterm

 

58,0

 

Final

 

29,0

Quiz

 

29,0

 

Project

 

 

Laboratory

 

 

 

Homework

 

 

Atelier

 

 

 

Seminar

 

 

Field Study

 

 

 

Presentation

 

 

Other

 

 

 

Self Study

 

 

TOTAL :

0

188,0

Recommended ECTS Credit (Total Hours / 25) :

8,0