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
FMA660	CONVEX ANALYSIS	Compulsory	1	2	6

Level of Course Unit

Second Cycle

Objectives of the Course

To gain Equality and inequality resticted maximum-minimum in the convex function and basic information necessary in the field of Hermite-Hadamard Inequalities

Name of Lecturer(s)

Yrd. Doç. Dr. Erdal ÜNLÜYOL

Learning Outcomes

1	Students who successfully complete this course: have the ability and knowledge of the advanced level of related to the field and use it in real learning environments.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

One-variable convex functions, Convex functions on a normed linear space, Convex functions of higher order, Functions convex with respect to an ECT(Extended Complete Tchebycheff) System of functions, Inequalities involving derivatives and differences, Hermite-Hadamard Inequalities.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	One-variable convex functions
2	One-variable convex functions
3	Convex functions on a normed linear space
4	Convex functions on a normed linear space
5	Convex functions of higher order
6	Convex functions of higher order
7	Applications
8	Midterm exam
9	Functions convex with respect to an ECT(Extended Complete Tchebycheff) System of functions
10	Functions convex with respect to an ECT(Extended Complete Tchebycheff) System of functions
11	Inequalities involving derivatives and differences
12	Inequalities involving derivatives and differences
13	Inequalities involving derivatives and differences
14	Applications
15	Hermite-Hadamard Inequalities
16	Final exam

Recommended or Required Reading

Rocafellar T. (1970); Convex Analysis, Princeton University Press, Princeton, p.468 Pečarič J. E., Proschan F., Tong Y. L. (1992); Convex Functions, Partial Orderings, and Statistical Applications, Academic Press in San Diego, p. 470

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	3	42
Self Study	14	10	140
Individual Study for Mid term Examination	1	12	12
Individual Study for Final Examination	1	12	12
TOTAL WORKLOAD (hours)			210

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7
LO1	5	4	4	5	5	4	5

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