EGE UNIVERSITY Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
6012001042010	PROFESSIONAL MATHEMATICS	Compulsory	1	2	4

Level of Course Unit

Short Cycle

Language of Instruction

Turkish

Objectives of the Course

The objective of this course is to make the students gain the capability of applying mathematical knowledge and skills required for his/her profession to their work.

Name of Lecturer(s)

Öğr. Gör. Dr. Meryem ODABAŞI

Learning Outcomes

1	Ability to perform applications related with matrices and systems of linear equations in his/her profession
2	Ability to perform applications related with numerical analysis in his/her profession
3	Ability to perform applications related with geometry in his/her profession
4	Ability to perform applications related with trigonometry in his/her profession

Mode of Delivery

Face to Face

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Matrices and systems of linear equations. Analitical and numerical solutions. Error analysis. Solutions of systems of linear equations with numerical methods. Curve fitting methods. Interpolation techniques. Geometric applications on Polygons, angles and circle. Geometric objects. Coordinate systems. Basic trigonometry and trigonometric functions.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Exponential and Logarithmic function.
2	Trigonometric functions.
3	The limit and the continuity.
4	The derivative.
5	Basic principles of the derivative. Derivatives of exponential, logarithmic and trigonometric functions.
6	Chain rule. Derivatives of implicit functions. Higher-order derivatives.
7	L'Hopital's rule. Applications of the derivative.
8	Midterm Exam
9	Indefinite integral.
10	Definite integral.
11	Techniques of integration. The method of substitution.
12	Integration by parts. Integrals of rational functions. Areas of plane regions.
13	Integrals of rational functions. Areas of plane regions. Applications of the integral.
14	The matrix and the determinant.
15	The matrix and the determinant.
16	Final Exam

Recommended or Required Reading

1. Çelik, B. 2006. Temel Matematik, Nobel Yayın Dağıtım. 2. Halilov, H. , Hacısalihoğlu, H. , Kutlu, K. , Güler, B.Ö. 2010. Genel Matematiğe Giriş, Efil Yayınevi. 3. Amirali G. , Duru, H. 2002. Nümerik Analiz, Pegem Akademi Yayıncılık. 4. Halilov, H. , Hasanoğlu, A. , Can, M., 1999. Yüksek Matematik I Tek Değişkenli Fonksiyonlar Analizi, Literatür Yayıncılık.

Planned Learning Activities and Teaching Methods

Activities are given in detail in the sections of "Assessment Methods and Criteria" and "Workload Calculation".

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1	1
Final Examination	1	1	1
Attending Lectures	14	3	42
Team/Group Work	14	2	28
Self Study	14	1	14
Individual Study for Mid term Examination	1	10	10
Individual Study for Final Examination	1	12	12
TOTAL WORKLOAD (hours)			108

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10	PO 11	PO 12	PO 13	PO 14
LO1	4	4								5
LO2	4	4								5
LO3	4	4								5
LO4	4	4								5

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High