Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAT518 | VARIATION CALCULATE AND PREFACE TO AUTOMATIC CONTOL II | Elective | 1 | 1 | 6 |
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Level of Course Unit |
Second Cycle |
Objectives of the Course |
To teach the basic topics of variational calculus. |
Name of Lecturer(s) |
Prof. Dr. Mammad MUSTAFAYEV |
Learning Outcomes |
1 | To define given concepts | 2 | To explain basic examples of given concepts | 3 | To explain the usage areas of given concepts | 4 | The canonical form of the Euler equations and related topics. |
|
Mode of Delivery |
Formal Education |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
None |
Course Contents |
Optimal control problems, Simple optimal control problems, Terminal control problems Maximum principle and applications of Pontryagin, Optimal control over time, Optimal controls in finite time interval and solution methods |
Weekly Detailed Course Contents |
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1 | Elements of the theory | | | 2 | Further Generalizations | | | 3 | Further Generalizations | | | 4 | Further Generalizations | | | 5 | The general variation of a functional | | | 6 | The general variation of a functional | | | 7 | The general variation of a functional | | | 8 | midterm examination | | | 9 | The general variation of a functional | | | 10 | The general variation of a functional | | | 11 | The canonical form of the Euler equations and related topics | | | 12 | The canonical form of the Euler equations and related topics | | | 13 | The canonical form of the Euler equations and related topics | | | 14 | The canonical form of the Euler equations and related topics | | | 15 | The canonical form of the Euler equations and related topics | | | 16 | final examination | | |
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Recommended or Required Reading |
Calculus of Variation, I.M. Gelfand, S. V. Fomin, Prentice-Hall, inc., New Jersey, 1963. |
Planned Learning Activities and Teaching Methods |
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Assessment Methods and Criteria | |
Midterm Examination | 1 | 100 | SUM | 100 | |
Final Examination | 1 | 100 | SUM | 100 | Term (or Year) Learning Activities | 40 | End Of Term (or Year) Learning Activities | 60 | SUM | 100 |
| Language of Instruction | | 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 |
Individual Study for Homework Problems | 14 | 3 | 42 |
Individual Study for Mid term Examination | 14 | 3 | 42 |
Individual Study for Final Examination | 14 | 3 | 42 |
Homework | 7 | 2 | 14 |
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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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Yozgat Bozok University, Yozgat / TURKEY • Tel (pbx): +90 354 217 86 01 • e-mail: uo@bozok.edu.tr |