Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 4 / Fall Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Optional | ||||
| Department | MATHEMATICS | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | SURE KÖME (sure.kome@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | |||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| The purpose of this course having detailed knowledge about Laplace transforms and applications of Laplace transforms. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Recognize Laplace Transforms. |
PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts. PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. |
Examination Term Paper |
| LO-2 | Make applications of Laplace transforms. |
PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts. PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. |
Examination Term Paper |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Laplace Transforms, Inverse Laplace transformations, Application of laplace transformations to ordinary differential equations, Application of laplace transformations to partial differential equations. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Basic definitions about Integral transforms | Oral expression,discussion, question-answer |
| 2 | General informations about Fourier series | Oral expression,discussion, question-answer |
| 3 | Introduction to the Fourier transforms | Oral expression,discussion, question-answer |
| 4 | Basic properties of Fourier transforms | Oral expression,discussion, question-answer |
| 5 | Algebraic properties of the convolution | Oral expression,discussion, question-answer |
| 6 | Solving ordinary differential equations with the help of Fourier transforms | Oral expression,discussion, question-answer |
| 7 | General overview | Oral expression,discussion, question-answer |
| 8 | mid-term exam | |
| 9 | Basic definitions and properties about Laplace transforms | Oral expression,discussion, question-answer |
| 10 | Definition and rules of inverse Laplace transforms | Oral expression,discussion, question-answer |
| 11 | Properties and general applications of inverse Laplace transforms | Oral expression,discussion, question-answer |
| 12 | Advanced inverse Laplace transforms | Oral expression,discussion, question-answer |
| 13 | Applications of inverse Laplace transforms to differential equations | Oral expression,discussion, question-answer |
| 14 | Applications of inverse Laplace transforms to differential equations | Oral expression,discussion, question-answer |
| 15 | General overview | Oral expression,discussion, question-answer |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Spiegel, Murray R. Laplace transforms. New York: McGraw-Hill, 1965. | |
| 2 | Yaşar, İrfan Baki. İntegral Dönüşümleri ve Uygulamaları. Siyasal Kitabevi, 2003. | |
| Required Course instruments and materials | ||
| 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) | 4 | 14 | 56 |
| Outside Class | |||
| a) Reading | 5 | 14 | 70 |
| b) Search in internet/Library | 0 | ||
| 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 | 10 | 2 | 20 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 15 | 2 | 30 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 180 | ||