Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 1 / Fall Semester | ||||
| Level of Course | 2nd 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 | CAHİT KÖME (cahit@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | |||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| The aim of this course is to equip students with advanced mathematical modeling techniques and their applications. Students will develop skills in stability analysis, bifurcation analysis, chaos theory, population dynamics, and infectious disease models, allowing them to analyze complex systems effectively. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Students will be able to recognize various mathematical modeling techniques (continuous and discrete) and apply them to real-world problems. |
PO-1 Fundamental theorems of about some sub-theories of Analysis, Applied Mathematics, Geometry, and Algebra can apply to new problems. PO-6 Following the developments in science and technology and gain self-renewing ability. PO-13 Ability to use mathematical knowledge in technology. |
Examination |
| LO-2 | Students will be able to analyze model parameters and work with software tools to solve these models. |
PO-1 Fundamental theorems of about some sub-theories of Analysis, Applied Mathematics, Geometry, and Algebra can apply to new problems. PO-6 Following the developments in science and technology and gain self-renewing ability. PO-13 Ability to use mathematical knowledge in technology. |
Examination |
| LO-3 | Students will be able to solve epidemiological models mathematically and develop appropriate modeling methods to analyze the spread of infectious diseases. |
PO-1 Fundamental theorems of about some sub-theories of Analysis, Applied Mathematics, Geometry, and Algebra can apply to new problems. PO-6 Following the developments in science and technology and gain self-renewing ability. PO-13 Ability to use mathematical knowledge in technology. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Extension of population models, Interpretation of model parameters, Discretization of population models, Analysis of SI type disease models, Interpretation of parameters for SI type disease models, Analysis of SIS type disease models, Midterm Exam, Infectious Disease Models: SIR Model, Infectious Disease Models: SIR Model, Extension of parameters for SIR model, Analysis of SEIR and SEIRS type epidemic disease models, Analysis of SEIR and SEIRS type epidemic disease models, Analysis of Covid-19 and other epidemic disease models, Analysis of Covid-19 and other epidemic disease models. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Introduction to Population Dynamics | |
| 2 | Extending population models | |
| 3 | Interpretation of model parameters | |
| 4 | Discretization of population models | |
| 5 | Analysis of SI type disease models | |
| 6 | Interpretation of parameters for SI type disease models | |
| 7 | Analysis of SIS type disease models | |
| 8 | mid-term exam | |
| 9 | Infectious Disease Models: The SIR Model | |
| 10 | Infectious Disease Models: The SIR Model | |
| 11 | Extension of parameters for the SIR model | |
| 12 | Analysis of SEIR and SEIRS type epidemic disease models | |
| 13 | Analysis of SEIR and SEIRS type epidemic disease models | |
| 14 | Analysis of Covid-19 and other epidemic models | |
| 15 | Analysis of Covid-19 and other epidemic models | |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Murray, James D. Mathematical biology: I. An introduction. Vol. 17. Springer Science & Business Media, 2007. | |
| 2 | Allen, Linda JS. "An introduction to mathematical biology, (2007). | |
| Required Course instruments and materials | ||
| 1- Murray, James D. Mathematical biology: I. An introduction. Vol. 17. Springer Science & Business Media, 2007. 2- Allen, Linda JS. "An introduction to mathematical biology, (2007). 3- Lecture Notes | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 14 | 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 | 14 | 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 | 5 | 14 | 70 |
| b) Search in internet/Library | 2 | 14 | 28 |
| 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 | 5 | 4 | 20 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 4 | 4 | 16 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 180 | ||