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| MAT4007 | Applied Mathematics | 4+0+0 | ECTS:6 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Elective | | Department | DEPARTMENT of MATHEMATICS | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 4 hours of lectures per week | | Lecturer | Prof. Dr. Selçuk Han AYDIN | | Co-Lecturer | | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | Student gain the basic information and properties about the special functions used in applied mathematics |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Get the basic information about applied mathematics | 6,7 | 1,3 | | LO - 2 : | Learns the special functions and their applications | 6,7 | 1,3 | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| To gain the basic information about applied mathematics |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Introduction | | | Week 2 | Derivation of heat and wave equations | | | Week 3 | Gamma and beta functions | | | Week 4 | Self adjoint operators | | | Week 5 | Power series and method of Frobenius | | | Week 6 | Examples for the Frobenius method | | | Week 7 | Legendre differential equation and it's solution | | | Week 8 | Legendre polynomials, properties and their applications | | | Week 9 | Mid-Term | | | Week 10 | Bessel differential equation and the properties of Bessel polynomials | | | Week 11 | Green functionsVaritational calculus | | | Week 12 | Integral transformations and integral equations | | | Week 13 | Solution of the partial differential equations with Laplace transformation | | | Week 14 | Varitational calculus | | | Week 15 | Perturbation method | | | Week 16 | Final examination | | | |
| 1 | J.P. Keener. Principles of Applied Mathematics | | | |
| 1 | Orin J. Farrell Bertram Ross, SOLVED PROBLEMS IN ANALYSIS: Applied to Gamma, Beta, Legendre and Bessel Functions | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 14/11/2023 | 2 | 50 | | End-of-term exam | 16 | 12/01/2024 | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 4 | 14 | 56 | | Sınıf dışı çalışma | 6 | 14 | 84 | | Arasınav için hazırlık | 6 | 1 | 6 | | Arasınav | 2 | 1 | 2 | | Dönem sonu sınavı için hazırlık | 6 | 1 | 6 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 156 |
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