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| Course Description |
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| Course Name |
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Numerical Analysis |
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| Course Code |
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AEN112 |
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| Course Type |
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Compulsory |
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| Level of Course |
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First Cycle |
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| Year of Study |
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1 |
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| Course Semester |
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Spring (16 Weeks) |
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| ECTS |
: |
4 |
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| Name of Lecturer(s) |
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Assoc.Prof.Dr. BEYTULLAH TEMEL
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| Learning Outcomes of the Course |
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1) Describes the main logic of the numerical methods,
2) Solves engineering problems by using the gained knowledge from this course,
3) Defines and applies the appropriate numerical method for any engineering problem,
4) Analyzes linear equation systems,
5) Calculates numerical differentiation and numerical integral.
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| Mode of Delivery |
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Face-to-Face |
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| Prerequisites and Co-Prerequisites |
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None |
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| Recommended Optional Programme Components |
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None |
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| Aim(s) of Course |
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The objective of this course is to teach the language of numerical methods, logic and introduction to mathematical calculations in engineering, and application of numerical methods into several science, industry and engineering problems. |
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| Course Contents |
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Introduction to numerial methods; Error concept in numerical analysis; solution methods of nonlinear equations; solution of linear equation systems; solution methods of eigenvalue problems; approximate methods; interpolation, numerical integral, numerical differentiation. |
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| Language of Instruction |
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English |
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| Work Place |
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Classroom |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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1 |
Introduction, Error concept in numerical methods |
Lecture notes |
Explanation with the 1st presentation |
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2 |
Nonlinear equation system, root of nonlinear equations |
Lecture notes |
Explanation with the 2nd presentation |
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3 |
Bisection method, Newton Raphson method |
Lecture notes |
Explanation with the 3rd presentation |
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4 |
Secant method, linear system of equations, direct methods |
Lecture notes |
Explanation with the 4th presentation |
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5 |
Gauss Elimination method |
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Explanation with the 5th presentation |
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6 |
LU decomposition method |
Lecture notes |
Explanation with the 6th presentation |
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7 |
Eigenvalue problems, solution by analytical method |
Lecture notes |
Explanation with the 7th presentation |
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8 |
Midterm examination |
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9 |
Force method for the biggest eigenvalue ,
Force method for the smallest eigenvalue |
Lecture notes |
Explanation with the 8th presentation |
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10 |
Interpolation |
Lecture notes |
Explanation with the 9th presentation |
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11 |
Interpolation polinomials |
Lecture notes |
Explanation with 10. presentation |
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12 |
Numerical Integral, Trapezoidal and Simpson methods |
Lecture notes |
Explanation with the 11th presentation |
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13 |
Gussian Quadrature formulae |
Lecture notes |
Explanation with the 12th presentation |
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14 |
Numerical Differentiation |
Lecture notes |
Explanation with the 13th presentation |
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15 |
Numerical solutions of Differantial equations |
Lecture notes |
Explanation with the 14th presentation |
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16/17 |
Final Exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Lecture notes edited from several books (unpublished).
1) Numerical Method in Engineering - S.C. Chapra, R.P. Canale. James F. Epperson, 2001.
2) An Introduction to Numerical Methods and Analyses,, John Wiley and Sons, ISBN:0471316474.
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| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
60 |
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Homeworks/Projects/Others |
10 |
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
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100 |
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Rate of Final Assessments to Success
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60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
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1 |
Utilizes computer systems and softwares |
5 |
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2 |
Generates solutions for the problems in other disciplines by using statistical techniques |
5 |
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3 |
Comprehends visual, database and web programming techniques and has the ability of writing objective program |
4 |
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4 |
Is equipped with a variety of skills and techniques in engineering. |
2 |
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5 |
Designs a system, component or process so as to meet various engineering needs within technical, economic, environmental, manufacturability, sustainability limitations. |
4 |
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6 |
Examines and learns applications in an enterprise independently, makes critical assesments of problems, formulates problems and selects suitable techniques for solutions. |
5 |
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7 |
Leads the identification, development and usage of a product or production method. |
3 |
|
8 |
Is aware of the need for lifelong learning and self-renew |
2 |
|
9 |
Has effective oral and written English for technical or non-technical use |
2 |
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10 |
Uses computers very effectively, makes computer-aided drafting, designs, analysis, and presentations. |
3 |
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11 |
Improves constantly itself , as well as professional development scientific, social, cultural and artistic fields according to his/her interests and abilities identifying needs of learning. |
4 |
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12 |
Is aware of the technical and ethical responsibilities, has inquisitive and innovative quality |
3 |
| * 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 |
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Class Time (Exam weeks are excluded) |
14 |
3 |
42 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
3 |
42 |
| Assesment Related Works |
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Homeworks, Projects, Others |
10 |
2 |
20 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
1 |
1 |
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Final Exam |
1 |
1 |
1 |
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Total Workload: | 106 |
| Total Workload / 25 (h): | 4.24 |
| ECTS Credit: | 4 |
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