Ordu 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
FBÖ1422013334	GENERAL MATHEMATICS-II	Compulsory	1	2	5

Level of Course Unit

First Cycle

Objectives of the Course

Students will be able to analyze the change in functions benefiting from derivatives and being able to draw graphs. Student will conceptualize relationship between derivate and integral. Student will calculate different kind of indefinite integrals. Student will understand interpret concept Integral. Student will calculate length of arc, area, and volume etc by integral. Student will interpret the knowledge and transfer it at the another courses. Reinforcing the backgrounds of the students mathematics knowledge for other mathematics courses.

Name of Lecturer(s)

Yrd. Doç.Dr.Meral CANSIZ AKTAŞ, Doç. Dr. Cemal BELEN

Learning Outcomes

1	Solve the maximal and minimal definite problems.
2	Analyse the functions by using derivate and draw graph..
3	Calculate integration of a function
4	Calculate length of arc of a curve, area and volume.
5	Transfer the knowledge which is gathered from the course

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Applications of derivative; maxima and minimal definite problems, indeterminate exponential function, graphics, differential equation, differential equation. Indefinite integral: definition of indefinite integral, integral which is detachable to its basic form, integration by parts, calculation integral by proper fraction, integration of trigonometric function, integration of irrational functions. Definite integral: properties of definite integral, area and volume calculation, length of arc, improper integral.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Applications of derivative; maxima and minimal definite problems, indeterminate exponential function.
2	Analysis of the alterations of functions and graphical drawings.
3	Graphics
4	Indefinite integral: definition of indefinite integral, integral which is detachable to its basic form, integration by parts
5	Indefinite integral: definition of indefinite integral, integral which is detachable to its basic form, integration by parts
6	Integral which is detachable to its basic form, integration by parts.
7	Calculation integral by proper fraction, integration of trigonometric function, integration of irrational functions.
8	Application of indefinite integral differential equation.
9	Mid-term exam
10	Definite integral: properties of definite integral,
11	Definite integral: properties of definite integral, area and volume calculation
12	Area calculation
13	Volume calculation
14	Length of arc
15	Improper integral.
16

Recommended or Required Reading

[1] Çoker, D. , Özer, O. , Taş, K. ,Küçük Y. , GENEL MATEMATİK Cilt I , Bilim yayınları [2] Halilov, H. ,Hasanoğlu, A. , Can, M. , Yüksek Matematik I Tek değişkenli fonksiyonların analizi, Literatür yayınları [3] George B. Thomas- Ross l. Finney Calculus [4]Dönmez , A. , Çözümlü Araştırmalı Matematik Analiz 1/1

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
SUM		0
End Of Term (or Year) Learning Activities	Quantity	Weight
SUM		0
Yarıyıl (Yıl) İçi Etkinlikleri		40
Yarıyıl (Yıl) Sonu Etkinlikleri		60
SUM		100

Language of Instruction

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	2	2
Final Examination	1	2	2
Attending Lectures	14	4	56
Problem Solving	5	4	20
Individual Study for Mid term Examination	1	15	15
Individual Study for Final Examination	2	25	50
TOTAL WORKLOAD (hours)			145

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
LO1	2	2	1	2	2	1	2	3	2	1
LO2	1	2	2	2	1	2	1	1	2	2
LO3	2	1	2	1	2	1	1	2	1	2
LO4	2	2	2	1	1	1	1	2	1	1
LO5	2	2	2	1	1	1	1	2	1	1

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