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| Course Description |
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| Course Name |
: |
Numerical Analysis |
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| Course Code |
: |
ME 254 |
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| Course Type |
: |
Compulsory |
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| Level of Course |
: |
First Cycle |
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| Year of Study |
: |
2 |
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| Course Semester |
: |
Spring (16 Weeks) |
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| ECTS |
: |
5 |
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| Name of Lecturer(s) |
: |
Asst.Prof.Dr. ARİF ÖZBEK
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| Learning Outcomes of the Course |
: |
Has an understanding of definition and types of error, roots of equations; solutions of systems of linear equations; optimization; curve fitting; numerical differentiation and integration; solution of ordinary differential equations and partial equations diferansisyel learn methods and application to engineering problems
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| Mode of Delivery |
: |
Face-to-Face |
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| Prerequisites and Co-Prerequisites |
: |
None |
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| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
Equipping students with information on a variety of numerical methods used in engineering practice to gain the ability to solve problems. |
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| Course Contents |
: |
Errors, roots of equations, systems of linear algebraic equations, optimization, curve fitting, numerical differentiation and integration |
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| Language of Instruction |
: |
English |
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| Work Place |
: |
Mechanical Eng. Department |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
|
1 |
Introduction, Round of errors |
Textbook "Chapter 3" |
Lecture |
|
2 |
Roots of equations |
Textbook "Chapter 5" |
Lecture |
|
3 |
Roots of equations |
Textbook "Chapter 5" |
Lecture |
|
4 |
Systems of linear algebraic equations |
Textbook "Chapter 3" |
Lecture |
|
5 |
Systems of linear algebraic equations |
Textbook "Chapter 9" |
Lecture |
|
6 |
Lineer cebirsel denklem sistemleri, LU decomposition method |
Textbook "Chapter 10" |
Lecture |
|
7 |
Linear algebraic equations, Gauss siedel yöntemi |
Textbook "Chapter 11" |
Lecture |
|
8 |
Optimization |
Textbook "Chapter 13" |
Lecture |
|
9 |
Midterm exam |
|
|
|
10 |
Curve fitting |
Textbook "Chapter 17" |
Lecture |
|
11 |
Curve fitting |
Textbook "Chapter 17" |
Lecture |
|
12 |
Numerical differentiation |
Textbook "Chapter 21" |
Lecture |
|
13 |
Numerical integration |
Textbook "Chapter 21" |
Lecture |
|
14 |
Ordinary differential equations |
Textbook "Chapter 25" |
Lecture |
|
15 |
Partial differential equations |
Textbook "Chapter 29" |
Lecture |
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16/17 |
Final exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Textbook: Numerical Methods for Engineers; Fifth Edition. Writers: S.C. Chapra, R.P. Canale. Publisher: Mc-Graw Hill.
Another numerical analysis textbook which can be selected by the student
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| |
| Required Course Material(s) | |
|
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Assessment Methods and Assessment Criteria |
|
Semester/Year Assessments |
Number |
Contribution Percentage |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
60 |
|
Homeworks/Projects/Others |
1 |
40 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
| |
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Final Assessments
|
100 |
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Rate of Final Assessments to Success
|
60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Students gain a command of basic concepts, theories and principles in mechanical engineering |
4 |
|
2 |
Student become equipped with the basic knowledge of math, science and engineering |
5 |
|
3 |
Students are able to design and carry out experiments in the basic fields of mechanical engineering, and interpret the results and the data obtained from the experiments |
2 |
|
4 |
Students become equipped with a variety of skills and knowledge regarding engineering techniques |
4 |
|
5 |
Students are able to design a system, component or process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, and sustainability limits. |
2 |
|
6 |
Students independently review and learn the applications in an enterprise, make a critical assessment of the problems faced with, formulate problems and propose solutions by selecting the proper technique |
3 |
|
7 |
Students take initiative in identification, design, development and use of a product or production process. |
2 |
|
8 |
Students become aware of the necessity of lifelong learning and continuously self-renew |
3 |
|
9 |
Students use English effectively for technical or non-technical topics orally or in wirtten form. |
5 |
|
10 |
Students become effective in using computer, computer-aided drafting, design, analysis, and presentation |
5 |
|
11 |
Students have good communicatino skills with a tendency to work in teams, and are able to work effectively as a member of an interdisciplinary team |
3 |
|
12 |
Students become aware of the technical and ethical responsibilities, as well as being inquisitive and innovative |
4 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
|
Class Time (Exam weeks are excluded) |
14 |
4 |
56 |
|
Out of Class Study (Preliminary Work, Practice) |
16 |
4 |
64 |
| Assesment Related Works |
|
Homeworks, Projects, Others |
1 |
1 |
1 |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
2 |
2 |
|
Final Exam |
1 |
2 |
2 |
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Total Workload: | 125 |
| Total Workload / 25 (h): | 5 |
| ECTS Credit: | 5 |
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