Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAT4372014131 | INEQUALITIES | Elective | 4 | 7 | 5 |
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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 |
1 | Students who successfully complete this course : will develop the right thinking and the ability to comment and students will gain basic knowledge about mathematics. |
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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 |
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1 | Further Inequalities for Differentiable Convex Functions
| | | 2 | Further Inequalities for Twice Differentiable Convex Functions
| | | 3 | Special Means
| | | 4 | Classical Inequalities
| | | 5 | Classical Inequalities
| | | 6 | Maximum Problems
| | | 7 | Maximum Problems
| | | 8 | Midterm exam
| | | 9 | Integral Inequalities for m-Convex Functions
| | | 10 | Integral Inequalities for (alpha,m)-Convex Functions
| | | 11 | Integral Inequalities for s-Convex Functions in the First Sense
| | | 12 | Integral Inequalities for s-Convex Functions in the Second Sense
| | | 13 | Integral Inequalities for Quasi-Convex Functions
| | | 14 | Integral Inequalities for r-Convex Functions
| | | 15 | Applications | | | 16 | Final exam | | |
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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 |
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Assessment Methods and Criteria | |
SUM | 0 | |
SUM | 0 | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | None |
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Workload Calculation |
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Midterm Examination | 1 | 2 | 2 |
Final Examination | 1 | 2 | 2 |
Attending Lectures | 14 | 3 | 42 |
Self Study | 14 | 3 | 42 |
Individual Study for Homework Problems | 14 | 3 | 42 |
Individual Study for Mid term Examination | 10 | 1 | 10 |
Individual Study for Final Examination | 10 | 1 | 10 |
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Contribution of Learning Outcomes to Programme Outcomes |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Ordu University Rectorate Building ,Cumhuriyet Campus , Center / ORDU / TURKEY • Tel: +90 452 226 52 00
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