Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
MAT4372014131 INEQUALITIESElective475
Level of Course Unit
First Cycle
Objectives of the Course
To teach students course content.
Name of Lecturer(s)
Doç.Dr. Erhan SET
Learning Outcomes
1Students who successfully complete this course : will develop the right thinking and the ability to comment and students will gain basic knowledge about mathematics.
Mode of Delivery
Formal Education
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Further Inequalities for Differentiable Convex Functions, Further Inequalities for Twice Differentiable Convex Functions, Special Means, Classical Inequalities, Maximum Problems, Integral Inequalities for m-Convex Functions, Integral Inequalities for (alpha,m)-Convex Functions, Integral Inequalities for s-Convex Functions in the First Sense, Integral Inequalities for s-Convex Functions in the Second Sense, Integral Inequalities for Quasi-Convex Functions, Integral Inequalities for r-Convex Functions, Applications.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Further Inequalities for Differentiable Convex Functions
2Further Inequalities for Twice Differentiable Convex Functions
3Special Means
4Classical Inequalities
5Classical Inequalities
6Maximum Problems
7Maximum Problems
8Midterm exam
9Integral Inequalities for m-Convex Functions
10Integral Inequalities for (alpha,m)-Convex Functions
11Integral Inequalities for s-Convex Functions in the First Sense
12Integral Inequalities for s-Convex Functions in the Second Sense
13Integral Inequalities for Quasi-Convex Functions
14Integral Inequalities for r-Convex Functions
15Applications
16Final exam
Recommended or Required Reading
S.S. Dragomir and C.E.M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, 2000.
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
SUM0
End Of Term (or Year) Learning ActivitiesQuantityWeight
SUM0
Yarıyıl (Yıl) İçi Etkinlikleri40
Yarıyıl (Yıl) Sonu Etkinlikleri60
SUM100
Language of Instruction
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination122
Attending Lectures14342
Self Study14342
Individual Study for Homework Problems14342
Individual Study for Mid term Examination10110
Individual Study for Final Examination10110
TOTAL WORKLOAD (hours)150
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
LO14454445
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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