Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | FMA668 | INTEGRAL INEQUALITY AND THEIR APPLICATIONS I | Compulsory | 1 | 2 | 6 |
|
Level of Course Unit |
Second Cycle |
Objectives of the Course |
Teaching high level of mathematics to graduate degree students.
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Name of Lecturer(s) |
DOÇ.DR. ERHAN SET |
Learning Outcomes |
1 | Students will learn theoretical concepts in mathematics and how to read academical journals. |
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Mode of Delivery |
Formal Education |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
None |
Course Contents |
Scalar Linear Integral Inequalities, Gronwall Types of Inequalities, Applications, Scalar Non-Linear Integral Inequalities, Bihari Types of Inequalities, Comparative Results, Lakshmikantham’s Comparison Method, Deo and Dhongade Types of Inequalities, Hermite-Hadamard type inequalities. |
Weekly Detailed Course Contents |
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1 |
Scalar Linear Integral Inequalities | | | 2 |
Gronwall Types of Inequalities | | | 3 |
Applications
| | | 4 |
Scalar Non-Linear Integral Inequalities
| | | 5 |
Bihari Types of Inequalities | | | 6 |
Comparative Results | | | 7 |
Lakshmikantham’s Comparison Method, Deo and Dhongade Types of Inequalities | | | 8 |
Midterm | | | 9 |
Scalar Linear Integral Inequalities | | | 10 |
Bihari Types of Inequalities | | | 11 |
Scalar Non-Linear Integral Inequalities | | | 12 |
Gronwall Types of Inequalities
| | | 13 |
Applications | | | 14 |
Comparative Results | | | 15 |
Hermite-Hadamard type inequalities | | | 16 |
Final exam | | |
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Recommended or Required Reading |
S.S. Dragomir, Selected Topic on Hermite-Hadamard Inequalities and Applications, 1991. |
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 | 5 | 70 |
Self Study | 14 | 5 | 70 |
Individual Study for Mid term Examination | 1 | 20 | 20 |
Individual Study for Final Examination | 1 | 20 | 20 |
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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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