Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 4 / Spring Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Optional | ||||
| Department | ELEMENTARY MATHEMATICS EDUCATION | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | MÜJDET GÜNGÖR (mujdetgungor@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | MÜJDET GÜNGÖR, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| To be able to comprehend Laplace and inverse Laplace transform and apply to some differential equations. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Knows Laplace transformation and applies to some differential equations. |
PO-12 To be able to assess mathematics improvements using different assesment techniques. |
Examination |
| LO-2 | Apply the inverse Laplace transform. |
PO-7 To be able to use mathematical language accurately in their mathematics courses and in planning learning and teaching process. |
Examination |
| LO-3 | Knows the Bessel Differential Equation and Bessel Functions |
PO-1 Having the knowledge of teaching programs, teaching strategies, measurement and assessment methods related to the field |
Examination |
| LO-4 | Knows Gaussian Differential Equation and Hypergeometric Functions. |
PO-18 Using ways to reach the information effectively. |
Examination |
| LO-5 | Knows and applies Laplace transformation of linear systems with constant coefficients. |
PO-12 To be able to assess mathematics improvements using different assesment techniques. |
Examination |
| LO-6 | Explain the applications of Laplace transformation of linear systems with constant coefficients |
PO-12 To be able to assess mathematics improvements using different assesment techniques. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Generalized integrals, Laplace transform, existence of Laplace transform and basic properties, inverse Laplace transform and Convolution, solution of linear differential equation with constant coefficient by Laplace transform, solution of constant coefficient linear systems with Laplace transformation. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Generalized integrals | Method of Narration |
| 2 | Generalized integrals | Method of Narration |
| 3 | Laplace transform | Method of Narration |
| 4 | Laplace transform | Method of Narration |
| 5 | The existence of Laplace transform and its basic properties | Method of Narration |
| 6 | The existence of Laplace transform and its basic properties | Method of Narration |
| 7 | Inverse Laplace Transform and Convolution | Method of Narration |
| 8 | mid-term exam | |
| 9 | Inverse Laplace Transform and Convolution | Method of Narration |
| 10 | Bessel Differential Equation and Bessel Functions | Method of Narration |
| 11 | Bessel Differential Equation and Bessel Functions | Method of Narration |
| 12 | Gauss Differential Equation and Hypergeometric Functions | Method of Narration |
| 13 | Gauss Differential Equation and Hypergeometric Functions | Method of Narration |
| 14 | Laplace transformation of linear systems with constant coefficients | Method of Narration |
| 15 | Laplace transformation of linear systems with constant coefficients | Method of Narration |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | • Murray R. Spiege, Schaum's Outlines: Laplace Transforms | |
| Required Course instruments and materials | ||
| Books, computers, projectors | ||
| 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 | 7 | 14 |
| b) Search in internet/Library | 1 | 7 | 7 |
| c) Performance Project | 0 | ||
| 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 | 2 | 7 | 14 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 2 | 7 | 14 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 95 | ||