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Course Description |
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Course Name |
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Numerical Methods İn Engineering |
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Course Code |
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INS214 |
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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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2 |
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Course Semester |
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Spring (16 Weeks) |
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ECTS |
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5 |
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Name of Lecturer(s) |
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Prof.Dr. HÜSEYİN R. YERLİ Assoc.Prof.Dr. BEYTULLAH TEMEL |
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Learning Outcomes of the Course |
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Upon successfull completion of this course, the student; 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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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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Turkish |
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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 1. presentation |
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2 |
Nonlinear equation system, root of nonlinear equations |
Lecture notes |
Explanation with 2. presentation |
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3 |
Bisection method, Newton Raphson method |
Lecture notes |
Explanation with 3. presentation |
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4 |
Secant method, linear system of equations, direct methods |
Lecture notes |
Explanation with 4. presentation |
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5 |
Gauss Elimination method |
Lecture notes |
Explanation with 5. presentation |
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6 |
LU decomposition method |
Lecture notes |
Explanation with 6. presentation |
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7 |
Eigenvalue problems, solution by analytical method |
Lecture notes |
Explanation with 7. presentation |
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8 |
Midterm Exam |
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9 |
Force method for the biggest eigenvalues,
Force method for the smallest eigenvalues |
Lecture notes |
Explanation with 8. presentation |
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10 |
Interpolation |
Lecture notes |
Explanation with 9. 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 11. presentation |
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13 |
Gaussian Quadrature Integration formulas |
Lecture notes |
Explanation with 12. presentation |
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14 |
Numerical Differentiation |
Lecture notes |
Explanation with 13. presentation |
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15 |
Numerical solutions of diferantial equaitons |
Lecture notes |
Explanation with 14. presentation |
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16/17 |
Final exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
1. Mühendisler için sayısal yöntemeler, H. Heperkan, U. Keskin , 2003.
2. Sayısal Analiz, M. Bakioğlu, 2009.
3. Saysal Çözümleme, Z. Aktaş, 1992.
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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 |
100 |
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Homeworks/Projects/Others |
0 |
0 |
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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 |
Designs a system, a component or a process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, sustainability limitations. |
3 |
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2 |
Identifies proper sources of information and databases, reaches them and uses them efficiently. |
5 |
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3 |
Follows the advancements in science and technology being aware of the necessity of lifelong learning and continuously improves her/himself. |
4 |
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4 |
Uses the computers and information technologies related with civil engineering actively. |
4 |
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5 |
Gains the ability to communicate effectively both orally and in writing. |
2 |
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6 |
Communicates using technical drawing |
0 |
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7 |
Has an understanding of entrepreneurship and innovation subjects, and is knowledgeable of contemporary issues. |
2 |
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8 |
Has an awareness of professional and ethical responsibility |
5 |
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9 |
Has the required knowledge in project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. |
3 |
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10 |
Has the basic knowledge of math, science and civil engineering |
4 |
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11 |
Has a good commman of basic concepts, theories and principles in civil engineering. |
5 |
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12 |
Independently reviews and learns the applications, makes a critical assessment of the problems faced with, selects the proper technique to formulate problems and propose solutions |
3 |
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13 |
Selects and uses the modern techniques and tools necessary for engineering practice |
3 |
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14 |
Designs and carries out experiments in the fields of civil engineering, and interprets the results and the data obtained from the experiments |
2 |
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15 |
Gains the abiltiy to work effectively as a member in interdisciplinary teams |
5 |
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16 |
Constantly improves her/himself by identifying the training needs in scientific, cultural, artistic and social fields. |
0 |
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17 |
Continuously improves her/himself by defining necessities in learning in scientific, social, cultural and artistic areas besides the occupational requirements.
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0 |
| * 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 |
4 |
56 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
4 |
56 |
| Assesment Related Works |
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Homeworks, Projects, Others |
0 |
0 |
0 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
8 |
8 |
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Final Exam |
1 |
10 |
10 |
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Total Workload: | 130 |
| Total Workload / 25 (h): | 5.2 |
| ECTS Credit: | 5 |
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