| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | FMA708 | METHODS OF APPLIED MATHEMATICS | Compulsory | 1 | 2 | 6 |
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| Level of Course Unit |
| Third Cycle |
| Objectives of the Course |
| This course aims to provide the students with a general knowledge on discrete and continuous equilibrium equations, and analytical methods in applied mathematics. it does establish the relation between discrete and continuous systems in a systematic wa |
| Name of Lecturer(s) |
| DOÇ. DR. SELAHATTİN MADEN |
| Learning Outcomes |
| 1 | sürekli ve ayrık denge denklemlerini inceleyerek aralarındaki ilişkiyi kavramış olurlar | | 2 | farklı dinamik sistemler arasındaki ilişkiyi gözlemleyebilirler | | 3 | elde ettikleri çözümü yorumlama yeteneklerini geliştirebilirler | | 4 | | | 5 | |
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| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Symmetric linear systems, Equilibrium equations, Equilibrium in the continuous case, analytical methods, numerical methods, initial-value problem |
| Weekly Detailed Course Contents |
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| 1 | Symmetrical Dynamical Systems
| | | | 2 | Eigenvalues and Dynamical Systems
| | | | 3 | A review of matrix theory
| | | | 4 | Discrete Equilibrium Equations
| | | | 5 | Application of Discrete Equilibrium Equations
| | | | 6 | Equilibrium in the continuous case
| | | | 7 | Laplace Equation and potential flow
| | | | 8 | Midterm Exam
| | | | 9 | Vector calculus in three dimensions
| | | | 10 | Equilibrium of fluids and solids
| | | | 11 | Navier-Stokes equations
| | | | 12 | Calculus of variations
| | | | 13 | Calculus of variations
| | | | 14 | Fourier Series and orthogonal expansion
| | | | 15 | Fourier integrals
| | | | 16 |
Final Exam | | |
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| Recommended or Required Reading |
| 1. Strang, Gilbert. introduction to applied mathematics. 1986 Wellesley-Cambridge Press. USA
2. Howison, Sam 2005, Practical Applied Mathematics, Cabridge University Press |
| 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 | | | Work Placement(s) | | None |
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| Workload Calculation |
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| Midterm Examination | 1 | 2 | 2 |
| Final Examination | 1 | 2 | 2 |
| Quiz | 4 | 2 | 8 |
| Attending Lectures | 14 | 3 | 42 |
| Self Study | 14 | 8 | 112 |
| Individual Study for Homework Problems | 14 | 5 | 70 |
| Individual Study for Mid term Examination | 1 | 25 | 25 |
| Individual Study for Final Examination | 1 | 25 | 25 |
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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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