Course Name | Numerical Methods for Engineers I |
Code | Semester | Theory (hour/week) | Application/Lab (hour/week) | Local Credits | ECTS |
---|---|---|---|---|---|
FENG 345 | Fall | 2 | 2 | 3 | 7 |
Prerequisites |
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Course Language | English | ||||||||
Course Type | Required | ||||||||
Course Level | First Cycle | ||||||||
Mode of Delivery | - | ||||||||
Teaching Methods and Techniques of the Course | |||||||||
Course Coordinator | |||||||||
Course Lecturer(s) | |||||||||
Assistant(s) |
Course Objectives | |
Learning Outcomes | The students who succeeded in this course;
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Course Description | Solutions of system of linear equations, iterative methods, interpolation, cubic splines, numerical differentiation, numerical integration, numerical solution of nonlinear equations, initial value problems, numerical solution of ordinary differential equations, finite difference method, engineering application problems. |
Related Sustainable Development Goals | |
| Core Courses | |
Major Area Courses | ||
Supportive Courses | ||
Media and Managment Skills Courses | ||
Transferable Skill Courses |
Week | Subjects | Required Materials |
1 | MATLAB Fundamentals and Introduction to Numerical Analysis, Programmming with MATLAB | Part-1; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 3 |
2 | Introduction to Differetial Equation: Euler Method, Error Analysis | Part-1; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 1,4 |
3 | Nonlinear Algebraic Equations-Polynomials, Bisection Method | Part-2; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 5 |
4 | Nonlinear Algebraic Equations-Polynomials, Newton-Raphson Method | Part-2; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 6 |
5 | Linear Algebraic Equations, Gauss Elimination Method | Part-3; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 8,9 |
6 | Linear Algebraic Equations and Curve Fitting | Part-3; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 8,9,14 |
7 | Curve fitting: Linear Regression, least squares method | Part-4; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 14,15 |
8 | Midterm | |
9 | Curve Fitting; Interpolation (lineer and quadratic interpolation) | Part-4; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 17 |
10 | Numerical Integration | Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 19,20 |
11 | Numerical Integration | Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 19,20 |
12 | Numerical Differentiation | Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 21 |
13 | Approximate solutions of differential equations | Part-6; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 22 |
14 | Engineering Applications of Differential Equations | Part-6; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 22 |
15 | Course Review | |
16 | Final Exam |
Course Notes/Textbooks | Steven, C. Chapra. Applied Numerical Methods with MATLAB for Engineers and Scientists. Fourth Edition, McGraw-Hill, 2018. ISBN 978-0-07-339796-2 |
Suggested Readings/Materials | Numerical Analysis by Timothy Sauer, 2006, Pearson; Numerical Methods for Engineers and Scientists: An Introduction with Applications using MATLAB by Gilat and Subramaniam, Wiley. |
Semester Activities | Number | Weighting |
Participation | ||
Laboratory / Application | ||
Field Work | ||
Quizzes / Studio Critiques | 2 | 20 |
Portfolio | ||
Homework / Assignments | ||
Presentation / Jury | ||
Project | ||
Seminar / Workshop | ||
Oral Exam | ||
Midterm | 1 | 35 |
Final Exam | 1 | 45 |
Total |
Weighting of Semester Activities on the Final Grade | 3 | 55 |
Weighting of End-of-Semester Activities on the Final Grade | 1 | 45 |
Total |
Semester Activities | Number | Duration (Hours) | Workload |
---|---|---|---|
Course Hours (Including exam week: 16 x total hours) | 16 | 2 | 32 |
Laboratory / Application Hours (Including exam week: 16 x total hours) | 16 | 2 | |
Study Hours Out of Class | 14 | 5 | 70 |
Field Work | |||
Quizzes / Studio Critiques | 2 | 15 | |
Portfolio | |||
Homework / Assignments | |||
Presentation / Jury | |||
Project | |||
Seminar / Workshop | |||
Oral Exam | |||
Midterms | 1 | 21 | |
Final Exams | 1 | 25 | |
Total | 210 |
# | Program Competencies/Outcomes | * Contribution Level | ||||
1 | 2 | 3 | 4 | 5 | ||
1 | To have adequate knowledge in Mathematics, Science and Industrial Engineering; to be able to use theoretical and applied information in these areas to model and solve Industrial Engineering problems. | X | ||||
2 | To be able to identify, formulate and solve complex Industrial Engineering problems by using state-of-the-art methods, techniques and equipment; to be able to select and apply proper analysis and modeling methods for this purpose. | X | ||||
3 | To be able to analyze a complex system, process, device or product, and to design with realistic limitations to meet the requirements using modern design techniques. | |||||
4 | To be able to choose and use the required modern techniques and tools for Industrial Engineering applications; to be able to use information technologies efficiently. | |||||
5 | To be able to design and do simulation and/or experiment, collect and analyze data and interpret the results for investigating Industrial Engineering problems and Industrial Engineering related research areas. | |||||
6 | To be able to work efficiently in Industrial Engineering disciplinary and multidisciplinary teams; to be able to work individually. | |||||
7 | To be able to communicate effectively in Turkish, both orally and in writing; to be able to author and comprehend written reports, to be able to prepare design and implementation reports, to present effectively; to be able to give and receive clear and comprehensible instructions | |||||
8 | To have knowledge about contemporary issues and the global and societal effects of Industrial Engineering practices on health, environment, and safety; to be aware of the legal consequences of Industrial Engineering solutions. | |||||
9 | To be aware of professional and ethical responsibility; to have knowledge of the standards used in Industrial Engineering practice. | |||||
10 | To have knowledge about business life practices such as project management, risk management, and change management; to be aware of entrepreneurship and innovation; to have knowledge about sustainable development. | |||||
11 | To be able to collect data in the area of Industrial Engineering; to be able to communicate with colleagues in a foreign language. | |||||
12 | To be able to speak a second foreign at a medium level of fluency efficiently. | |||||
13 | To recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Industrial Engineering. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest