Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 2 / Fall Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Compulsory | ||||
| Department | DEPARTMENT OF MECHANICAL ENGINEERING | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | MEHMET PARLAK (mehmetparlak@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | |||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| to give knowledge about application areas of numerical methods to students,To acquire the ability to apply in the solution of engineering problems, To acquire the knowledge ability to apply to students that have knowledge, in working life | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | can define the importance of numerical analysis, Mathematical Model Concept, Defect Analysis |
PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
PO-2 Student analyzes system and system components or processes and gains the ability to apply modern design methods in this direction. |
Examination Oral Examination |
| LO-2 | Taylor Series Numerical Error |
PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
PO-2 Student analyzes system and system components or processes and gains the ability to apply modern design methods in this direction. |
Examination |
| LO-3 | In practice, MATLAB numerical definition |
PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
PO-2 Student analyzes system and system components or processes and gains the ability to apply modern design methods in this direction. PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Machnical Engineering is able to use for engineering solutions. |
Examination |
| LO-4 | Have ability of solving differantial equations numerically |
PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
PO-3 Student determines the engineering problems, identifies, formulates and solves, this purpose, the ability to select and apply appropriate analytical methods and modeling techniques |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Introduction to numerical analysis,systems of linear equations,inverse matrix,systems of non linear equations,interpolation,curve fitting,numerical differentiation,numerical integration,numerical solutions of differential equations | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Definition and Importance of Numerical Analysis, Mathematical Model Concept, Error Analysis | presentation answer-question,solution of problems methods |
| 2 | Taylor Series Numerical Error | presentation answer-question,solution of problems methods |
| 3 | In practice, MATLAB numerical definition | presentation answer-question,solution of problems methods |
| 4 | Finding the root equation, Indoor Methods | presentation answer-question,solution of problems methods |
| 5 | Finding the root equation, Open Methods | presentation answer-question,solution of problems methods |
| 6 | Muller Methods | presentation answer-question,solution of problems methods |
| 7 | Solution of Linear Equations, Gauss Elimination Method, Graphical Method, Cramel Rule, Gauss Jordan Method | presentation answer-question,solution of problems methods |
| 8 | mid-term exam | |
| 9 | Solution of Linear Equations, Gauss Seidel Method, Curve Fitting, fitting of the polynoms, Exponasiyel, Power and the saturation rate equation curve fitting | presentation answer-question,solution of problems methods |
| 10 | Interpolation, Linear, quadratic, Newton and Langrange interpolation | presentation answer-question,solution of problems methods |
| 11 | Questions and Solutions | presentation answer-question,solution of problems methods |
| 12 | Numerical interpolation, Newton-Cotes integration formulas (trapezoidal, Simpson's rules (1/3 and 3/8)) | presentation answer-question,solution of problems methods |
| 13 | Solution of Ordinary Differential Equations, Euler's equation, Heun's method, Runge Kunta Midpoint Equations, Equations 4. Point-to-Order Runge Kunta | presentation answer-question,solution of problems methods |
| 14 | Solution of Multiple Ordinary Differential Equations, Runge-Kutta Methods | presentation answer-question,solution of problems methods |
| 15 | Questions and Solutions | presentation answer-question,solution of problems methods |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Applied Numerical Analysis Using Matlab, Laurene V. Fausett, PrenticeHall, 1999 | |
| Required Course instruments and materials | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 2 | 30 |
| 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 | 8 | 16 |
| 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 | 5 | 6 | 30 |
| mid-term exam | 1 | 1 | 1 |
| Own study for final exam | 5 | 6 | 30 |
| final exam | 1 | 1 | 1 |
| 0 | |||
| 0 | |||
| Total work load; | 120 | ||