| 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.
|
| Name of Lecturer(s) |
| DOÇ.DR. ERHAN SET |
| Learning Outcomes |
| 1 | Students will learn theoretical concepts in mathematics and how to read academical journals. |
|
| 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 |
|
| 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 | | |
|
| Recommended or Required Reading |
| S.S. Dragomir, Selected Topic on Hermite-Hadamard Inequalities and Applications, 1991. |
| Planned Learning Activities and Teaching Methods |
|
| 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 |
|
| 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 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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