Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 1 / Spring Semester | ||||
| Level of Course | 3rd Cycle Degree Programme | ||||
| Type of Course | Optional | ||||
| Department | MATHEMATICS (DOCTORATE DEGREE) | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | MEHMET ŞENOL (msenol@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | SEYDİ BATTAL GAZİ KARAKOÇ, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| To Understand the applications of Partial Differantial Equations in engineering and other applied sciences. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | understands the applications of Partial Differantial Equations in engineering and other applied sciences, establishs differantial equation of an engineering problem. |
PO-1 Students can design an original issue and explore new, different and / or comprehend complex issues. PO-2 Students will understand all aspects of mathematics and deepen the knowledge level that can innovate in this field. PO-3 Students will be dominated by current issues in mathematics. PO-4 At least one foreign language at an advanced level counterparts in written, oral and visual communicate and participate in academic discussions. |
Examination Performance Project |
| LO-2 | do applications of partial differential equations |
PO-1 Students can design an original issue and explore new, different and / or comprehend complex issues. PO-2 Students will understand all aspects of mathematics and deepen the knowledge level that can innovate in this field. PO-3 Students will be dominated by current issues in mathematics. PO-4 At least one foreign language at an advanced level counterparts in written, oral and visual communicate and participate in academic discussions. |
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| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Classification of the partial differantial equation for second order and more. Some solition methods of second order differantial equations. Green functions. Some hyperbolic methods. Compare of hyperbolic methos with the method of separated variables | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Classification of the partial differantial equations. | Oral represantation, Questioning- Answering, Problem Solving |
| 2 | Hyperbolic , parabolic and elliptic types | Oral represantation, Questioning- Answering, Problem Solving |
| 3 | Separable variables methods | Oral represantation, Questioning- Answering, Problem Solving |
| 4 | Green functions | Oral represantation, Questioning- Answering, Problem Solving |
| 5 | The gren functions of some partial equations | Oral represantation, Questioning- Answering, Problem Solving |
| 6 | The hyperbolic method | Oral represantation, Questioning- Answering, Problem Solving |
| 7 | Sin-cos expansions | Oral represantation, Questioning- Answering, Problem Solving |
| 8 | mid-term exam | |
| 9 | To solve partial equations by using sin-cos expansions | Oral represantation, Questioning- Answering, Problem Solving |
| 10 | Tanh and cotanh methods | Oral represantation, Questioning- Answering, Problem Solving |
| 11 | To solve partial equations by using sin-cos expansions | Oral represantation, Questioning- Answering, Problem Solving |
| 12 | Extended sin-cos methods | Oral represantation, Questioning- Answering, Problem Solving |
| 13 | Extended Tanh and cotanh methods | Oral represantation, Questioning- Answering, Problem Solving |
| 14 | Comparing to the hyperbolic expansions and separable variables methods | Oral represantation, Questioning- Answering, Problem Solving |
| 15 | Comparing to the hyperbolic expansions and separable variables methods | Oral represantation, Questioning- Answering, Problem Solving |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Partial Differential Equations: Methods and Applications , Wazwaz A.M., | |
| Required Course instruments and materials | ||
| The books of Lecture | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 2 | 40 |
| Other assessment methods | |||
| 1.Oral Examination | |||
| 2.Quiz | |||
| 3.Laboratory exam | |||
| 4.Presentation | |||
| 5.Report | |||
| 6.Workshop | |||
| 7.Performance Project | |||
| 8.Term Paper | |||
| 9.Project | |||
| final exam | 16 | 2 | 60 |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 3 | 14 | 42 |
| Outside Class | |||
| a) Reading | 2 | 15 | 30 |
| b) Search in internet/Library | 2 | 15 | 30 |
| c) Performance Project | 3 | 5 | 15 |
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 0 | ||
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 3 | 8 | 24 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 3 | 16 | 48 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 193 | ||