Nevşehir Hacı Bektaş Veli University Course Catalogue
|
|||||
| Year/Semester of Study | 1 / Spring Semester | ||||
| Level of Course | 2nd Cycle Degree Programme | ||||
| Type of Course | Optional | ||||
| Department | TEKLİF EDİLEN MATEMATİK EĞİTİMİ (TEZLİ YÜKSEK LİSANS) | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | ŞENOL KARTAL (senol.kartal@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | ŞENOL KARTAL, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| The aim of this course is to teach ordinary differential equations from mathematical and physical perspectives. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Recognizes and solves First Order Differential Equations. |
PO-1 Has advanced field knowledge regarding mathematics education. PO-11 Applies the fundamental concepts of algebra, analysis and geometry. PO-12 Analyzes mathematical models of problems in different fields. PO-13 Proves using reasoning and mathematical proof methods. |
Examination |
| LO-2 | Makes applications of First Order Differential Equations |
PO-1 Has advanced field knowledge regarding mathematics education. PO-11 Applies the fundamental concepts of algebra, analysis and geometry. PO-12 Analyzes mathematical models of problems in different fields. PO-13 Proves using reasoning and mathematical proof methods. |
Examination |
| LO-3 | Knows Higher Order Linear Differential Equations with Constant and Variable Coefficients |
PO-1 Has advanced field knowledge regarding mathematics education. PO-11 Applies the fundamental concepts of algebra, analysis and geometry. PO-12 Analyzes mathematical models of problems in different fields. PO-13 Proves using reasoning and mathematical proof methods. |
Examination |
| LO-4 | Performs applications of High Order Linear Differential Equations with Constant and Variable Coefficients. |
PO-1 Has advanced field knowledge regarding mathematics education. PO-11 Applies the fundamental concepts of algebra, analysis and geometry. PO-12 Analyzes mathematical models of problems in different fields. PO-13 Proves using reasoning and mathematical proof methods. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
|||
| Course Contents | ||
| Classification of Differential Equations, Equations Separable in Variables, Homogeneous Equations, Exact Differential Equations, Linear Differential Equations, Bernoulli Equation, Higher Order Differential Equations, Constant Coefficient Equations, Variable Coefficient Equations, Cauchy Equation, Legendre Equation, Variation of Parameters, Solution with Power Series | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Classification of Differential Equations | Narration, Discussion Method |
| 2 | Equations that can be separated into variables | Narration, Discussion Method |
| 3 | Homogeneous Equations | Narration, Discussion Method |
| 4 | Exact Differential Equations | Narration, Discussion Method |
| 5 | Full Differential | Narration, Discussion Method |
| 6 | Linear Differential Equations | Narration, Discussion Method |
| 7 | Bernoulli Equation | Narration, Discussion Method |
| 8 | mid-term exam | |
| 9 | Higher Order Differential Equations | Narration, Discussion Method |
| 10 | Constant Coefficient Equations | Narration, Discussion Method |
| 11 | Variable Coefficient Equations | Narration, Discussion Method |
| 12 | Cauchy Equation | Narration, Discussion Method |
| 13 | Legendre Equation | Narration, Discussion Method |
| 14 | Change of Parameters | Narration, Discussion Method |
| 15 | Solution with Power Series | Narration, Discussion Method |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Sheply L. R. (1984). Differential Equations, John Wiley. | |
| Required Course instruments and materials | ||
| book,notebook | ||
| 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 | 3 | 14 | 42 |
| b) Search in internet/Library | 3 | 14 | 42 |
| c) Performance Project | 3 | 4 | 12 |
| 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 | 7 | 21 |
| mid-term exam | 1 | 1 | 1 |
| Own study for final exam | 3 | 7 | 21 |
| final exam | 1 | 1 | 1 |
| 0 | |||
| 0 | |||
| Total work load; | 182 | ||