Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 2 / Spring Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Compulsory | ||||
| Department | MATHEMATICS | ||||
| Pre-requisities and Co-requisites | NUMERICAL ANALYSIS I, | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | YASİN YAZLIK (yyazlik@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | |||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| Giving basic information about numerical analysis that the student will need during undergraduate and graduate education. And to figure out how to go about solving problems | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 |
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. PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge. PO-4 Analytically use the interdisciplinary approach at learning process. PO-5 Develop suitable material for a subject on a mathematical area, to use the knowledge and experience gains with different methods PO-7 Have the knowledge to determine the needs related to his area and to direct his learning and use exclusively computer technologies with software. PO-8 Learn the life-long learning and quality management processes and apply them, attend social, cultural and artistic events on his field. PO-10 With the knowledge of foreign language required the field of mathematics, use and follow information technologies by the level of European Language Portfoy B1. PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education. |
Examination Oral Examination |
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| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Curve fitting, Least squares method, Functional approaches that can be transformed into linear form, Multiple regression, Trigonometric approaches and Fourier series, Numerical derivative, Finite difference and interpolation polynomials and approximate derivative, Numerical integral, Simpson method, integral with polynomial interpolations, Newton-Cotes formulas, Romberg integral method, General initial value problem, Multi-step methods, Experimental solutions with specified parameters, Least squares method, Ordinary Differential Equations Approximate Solution Methods | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Curve fitting, Least squares method | |
| 2 | Functional approaches that can be transformed into linear form, Multiple regression | |
| 3 | Trigonometric approaches and Fourier series | |
| 4 | Numerical derivative | |
| 5 | Finite difference and interpolation polynomials and approximate derivative | |
| 6 | Numerical integral | |
| 7 | Simpson method, integral with polynomial interpolations | |
| 8 | mid-term exam | |
| 9 | Newton-Cotes formulas | |
| 10 | Romberg integral method | |
| 11 | General initial value problem | |
| 12 | Multi-step methods | |
| 13 | Experimental solutions with specified parameters | |
| 14 | Least squares method | |
| 15 | Ordinary Differential Equations Approximate Solution Methods | |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Yakowitz,S., An Introduction to Numerical Computations, Macmillan, 1989. | |
| 2 | Cheney,W.,-Kincaid,D., Numerical Analysis Mathematics of Scientific Computing,AMS,2009. | |
| 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 | 3 | 14 | 42 |
| b) Search in internet/Library | 1 | 14 | 14 |
| 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 | 4 | 4 | 16 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 4 | 4 | 16 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 148 | ||