| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | FMA628 | DIFFERENTIAL EQUATIONS II | Compulsory | 1 | 2 | 6 |
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| Level of Course Unit |
| Second Cycle |
| Objectives of the Course |
| The aim of the course is
• to provide advanced concepts of differential equations.
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| Name of Lecturer(s) |
| Doç. Dr. Selahattin MADEN |
| Learning Outcomes |
| 1 | will develop the right thinking and the ability to interpret and will gain basic knowledge about mathematics. |
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| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
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| Recommended Optional Programme Components |
| Week 1 Laplace transformers
Week 2 Laplace transform solutions of linear equations
Week 3 Laplace transform solutions of linear equations systems
Week 4 Linear equations with variable coefficients
Week 5 Initial value problems
Week 6 Boundary value, eigenvalue, and Sturm - Liouville problems
Week 7 Two and higher-order nonlinear equations
Week 8 Equations not involving the dependent and independent variables
Week 9 Midterm exam
Week 10 Homogeneous equations
Week 11 Sarrus method
Week 12 Integration in series
Week 13 Ordinary and singular points
Week 14 Series solutions about ordinary points
Week 15 Singular points and Frobenius method
Week 16 Final exam
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| Course Contents |
| • Laplace transforms.
• Laplace transform solutions of linear equations and systems.
• Linear equations with variable coefficients.
• Initial value, boundary value, eigenvalue, and Sturm - Liouville problems.
• Two and higher-order nonlinear equations,
• Equations not involving the dependent and independent variables,
• Homogeneous equations,
• Sarrus method.
• Integration in series,
• Ordinary and singular points,
• Series solutions about ordinary points.
• Singular points and Frobenius method.
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| Weekly Detailed Course Contents |
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| 1 | Laplace transformers
| | | | 2 | Laplace transform solutions of linear equations
| | | | 3 | Laplace transform solutions of linear equations systems
| | | | 4 | Linear equations with variable coefficients
| | | | 5 | Initial value problems
| | | | 6 | Boundary value, eigenvalue, and Sturm - Liouville problems
| | | | 7 | Two and higher-order nonlinear equations
| | | | 8 | Midterm exam
| | | | 9 | Equations not involving the dependent and independent variables
| | | | 10 | Homogeneous equations
| | | | 11 | Sarrus method
| | | | 12 | Integration in series
| | | | 13 | Ordinary and singular points
| | | | 14 | Series solutions about ordinary points
| | | | 15 | Singular points and Frobenius method
| | | | 16 | Final exam
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| Recommended or Required Reading |
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| 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) | |
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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 | 5 | 70 |
| Individual Study for Homework Problems | 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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Ordu University Rectorate Building ,Cumhuriyet Campus , Center / ORDU / TURKEY • Tel: +90 452 226 52 00
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