Course Code                               : 0502105

 Course Name                              : Mathematics I

 Instructor                                    : Dr. Seyit TEMİR

 Theoretical/ Practical/Credit       :  4 / 0/ 4

 

Learning Activity

Estimated Time(Hour)

Evaluation

Theoretical Course (14 Week)

4 x 14 = 56

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)

166

 

 

 

Code of Course & Name

:

0502105 Mathematic 1

 

Type of Course

:

Compulsory

 

Prerequisite/Recommended 

:

None

 

Year/Semester

:

1st Year / Fall Semester

 

Credit

:

4

 

coordinate of course

:

 Dr. Seyit TEMİR

 

Division/Department/Program

:

Mechanical Engineering / License

 

Instructor

:

 Dr. Seyit TEMİR

 

Room/Number classroom

:

 

 

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

 

:

Functions, Limits, continuity and derivatives. Applications. Extreme values, the Mean Value Theorem and its applications. Logarithm, exponential, hyperbolic functions, Taylor and Maclaurin Formulas, inverse trigonometric functions and their derivatives. L'Hospital's rule.

 

Textbook/Recommended

Reading

 

:

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

2.        Loon  S.J., “Linear Algebra with Applications”, Prentice Hall, 6th edition, New Jersey, 2002..

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

4.        Hilmi HACISALİHOĞLU, “Temel ve Genel Matematik”, 1990.

 

 

Semester Teaching Plan

1.    Reel and complex numbers

2.   Functions,

3.   Limits, continuity and derivatives. Application

4.   Derivatives and Application

5.    Logarithm, exponential, hyperbolic functions,

6.    Polar coordinates,

7.    Mmidterm exam

8.    Inverse trigonometric functions and their derivatives.

9.   Taylor and Maclaurin Formulas

10.  Matrices and determinants

11. General application

12.  General application

13.   Systems of linear equations, parametric solutions,

14.   General application

 

 

Form of Assessment

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