Course Code                               : 0502206

 Course Name                              : Mathematic II

 Instructor                                    : Dr Seyit TEMİR

 Theoretical/ Practical/Credit       :  4 / 0/ 4

 

Learning Activity

Estimated Time(Hour)

Evaluation

Theoretical Course (14 Week)

3 x 14 = 42

Participation to class

Guided Problem Solving

2 x 14 = 28

Active Participation

Individual Study

3 x 14 = 42

 

Weekly homework problems be solved

1 x 14 = 14

Individual or teamwork and report preparation for homework’s.

Term project

None

 

Midterm Exams

4 x 2 = 8

Closed Book

Final Exam

For Exam            : 2

Individual Study: 8

Closed Book

Quiz (4 Piece)

Individual Study: 8

Closed Book

Research (internet / library)

 

 

Other (documentary / movie watching)

 

 

Other (conference, panel, etc.. Attend meetings)

 

 

Total Course Load (Hours)

152

 

 

 

Code of Course & Name

:

0502206 Mathematic II

Type of Course

:

Compulsory

Prerequisite/Recommended 

:

None

Year/Semester

:

1st Year / Spring Semester

Credit

:

4

Coordinate of course

:

Dr. Seyit TEMİR

Division/Department/Program

:

Mechanical Engineering /Licence

Instructor

:

Dr. Seyit TEMİR 

Room/Number classroom

:

M.M. 3

Time of course

:

 

Meeting time

:

 

Groups

:

 

Objective of the Course

 

:

This course is to teach basic mathematical techniques (related to functions of a single variable) and to  Show the application of these techniques to various engineering problems

Course Contents

 

:

Integration techniques. Improper integrals. Infinite series, power series, Taylor series. Vectors, lines and planes in space. Functions of several variables: Limit, continuity, partial derivatives, the chain rule, directional derivatives, tangent plane approximation and differentials, extreme values, Lagrange multipliers. A brief introduction to double integral.

Textbook/Recommended

Reading

 

:

1.        Thomas G.B., Finey R.L., “Calculus and Analytic Geometry”,  Part 2, 8th edition, Addison-Wesley, New-York, 1992.

2.        Hughers H., Gleason M., at al. “ Single and Multivariable Calculus” John Wiley, 3rd edition, New-York, 2002.

3.        Johnston E.H. and Mathews J.C..“Calculus”, Addison Wesley,  New-York, 2002.

4.        Bulut H. and Bulut S.A. “Analitik Geometri”, DEÜ Müh. Fak.Yayını, 2. baskı, 1985.

 

Semester Teaching Plan

1.    Integration techniques. Improper integrals

2.    The indefinite integral and practice

3.   The definite integral and practice

4.    Partial derivatives

5. Directional derivatives, tangent plane approximation and differentials

6.    General again

7.    Midterm exam

8.    Infinite series, power series,

9.     Taylor and Maclaurin series

10.  series operation

11. A brief introduction to double integral.

12.  Vectors, lines and planes in space

13.   Vectors, lines and planes in space

14.   General again

 

Form of Assessment

One written midterm exam (40% ); one written final exam (60%)