Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAT20520121310 | DIFFERENTIAL EQUATIONS–I | Compulsory | 2 | 3 | 5 |
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Level of Course Unit |
First Cycle |
Objectives of the Course |
The aim of the course is
• to give the basic 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 Differential equation and ıts basic concepts
Week 2 Variables separable equations
Week 3 Homogeneous equations
Week 4 Fully differential equations
Week 5 Bernoulli differential equations
Week 6 Riccati differential equations
Week 7 Vertical and inclined orbits
Week 8 Midterm exam
Week 9 First order and higher-order differential equations
Week 10 Lagrange and Clairaut equations
Week 11 Contrary to the solutions, envelopes
Week 12 n-order constant coefficients linear equations
Week 13 Undetermined coefficients method, short methods
Week 14 Variation of parameters method
Week 15 Euler's equation
Week 16 Final exam
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Course Contents |
• Differential equation and ıt’s basic concepts.
• Variables separable,
• Homogeneous,
• Fully differential, linear, Bernoulli and Riccati differential equations.
• Vertical and inclined orbits.
• First order and higher-order differential equations,
• Lagrange and Clairaut equations,
• Contrary to the solutions, envelopes.
• n-order constant coefficients linear equations,
• Undetermined coefficients method, short methods,
• Variation of parameters method.
• Euler's equation. |
Weekly Detailed Course Contents |
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1 | Differential equation and ıts basic concepts | | | 2 | Variables separable equations | | | 3 | Homogeneous equations | | | 4 | Fully differential equations | | | 5 | Bernoulli differential equations | | | 6 | Riccati differential equations | | | 7 | Vertical and inclined orbits | | | 8 | Midterm exam | | | 9 | First order and higher-order differential equations | | | 10 | Lagrange and Clairaut equations | | | 11 | Contrary to the solutions, envelopes | | | 12 | n-order constant coefficients linear equations | | | 13 | Undetermined coefficients method, short methods | | | 14 | Variation of parameters method | | | 15 | Euler's equation | | | 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 |
Quiz | 14 | 1 | 14 |
Attending Lectures | 14 | 4 | 56 |
Self Study | 14 | 2 | 28 |
Individual Study for Homework Problems | 14 | 2 | 28 |
Individual Study for Mid term Examination | 1 | 10 | 10 |
Individual Study for Final Examination | 1 | 13 | 13 |
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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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