FACULTY OF ENGINEERING
Department of Mechatronics Engineering
SE 366 | Course Introduction and Application Information
Course Name |
Numerical Analysis
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
SE 366
|
Fall/Spring
|
3
|
0
|
3
|
8
|
Prerequisites |
None
|
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Course Language |
English
|
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Course Type |
Service Course
|
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Course Level |
First Cycle
|
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Mode of Delivery | - | |||||
Teaching Methods and Techniques of the Course | - | |||||
Course Coordinator | ||||||
Course Lecturer(s) | ||||||
Assistant(s) | - |
Course Objectives | This course is an introduction level overview to the numerical analysis. The primary objective of the course is to develop the understanding of numerical algorithms and skills to implement algorithms to solve mathematical problems. |
Learning Outcomes |
The students who succeeded in this course;
|
Course Description | Floating point arithmetic, computational linear algebra, iterative solution to nonlinear equations, interpolation, numerical solutions |
|
Core Courses | |
Major Area Courses | ||
Supportive Courses | ||
Media and Management Skills Courses | ||
Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
Week | Subjects | Related Preparation |
1 | Introduction, Errors, Round off Algorithm, Errors of numerical results | Part-1; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra |
2 | Programming with MATLAB | Part-1; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra |
3 | Solution of nonlinear equations : Graphics method, Bisection Method, Secant Method | Part-2; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra |
4 | Solution of nonlinear equations: Functional iteration method, Newton-Raphson’s method | Part-2; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra |
5 | Solution of linear equation systems: Matrix calculations, Gauss elimination method, Pivoting | Part-3; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra |
6 | LU factorization, Cholesky factorization, QR factorization | Part-3; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra |
7 | Curve fitting: Lineer Regression, Least squares method | Part-4; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra |
8 | Curve fitting: Non-Lineer Regression | Part-4; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra |
9 | Midterm | - |
10 | Numerical differentiation | Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra |
11 | Numerical integration | Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra |
12 | Approximate solutions of differential equations: initial value problems | Part-6; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra |
13 | Approximate solutions of differential equations: boundary value problems | Part-6; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra |
14 | Approximate solutions of differential equations, review of topics. | Part-6; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra |
15 | Semester Review | |
16 | Final Exam |
Course Notes/Textbooks | Steven, C. Chapra. Applied Numerical Methods With Matlab: For Engineers And Scientists. Tata McGraw Hill Education Private Limited, 2007 |
Suggested Readings/Materials | Numerical Methods using MATLAB by Mathews and Fink, Pearson, 2004 |
EVALUATION SYSTEM
Semester Activities | Number | Weigthing |
Participation | ||
Laboratory / Application | ||
Field Work | ||
Quizzes / Studio Critiques | ||
Portfolio | ||
Homework / Assignments | ||
Presentation / Jury | ||
Project | ||
Seminar / Workshop | ||
Oral Exams | ||
Midterm |
2
|
60
|
Final Exam |
1
|
40
|
Total |
Weighting of Semester Activities on the Final Grade |
3
|
60
|
Weighting of End-of-Semester Activities on the Final Grade |
1
|
40
|
Total |
ECTS / WORKLOAD TABLE
Semester Activities | Number | Duration (Hours) | Workload |
---|---|---|---|
Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
3
|
48
|
Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
0
|
|
Study Hours Out of Class |
16
|
4
|
64
|
Field Work |
0
|
||
Quizzes / Studio Critiques |
0
|
||
Portfolio |
0
|
||
Homework / Assignments |
1
|
18
|
18
|
Presentation / Jury |
0
|
||
Project |
0
|
||
Seminar / Workshop |
0
|
||
Oral Exam |
0
|
||
Midterms |
2
|
30
|
60
|
Final Exam |
1
|
50
|
50
|
Total |
240
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
1
|
2
|
3
|
4
|
5
|
||
1 | To have knowledge in Mathematics, science, physics knowledge based on mathematics; mathematics with multiple variables, differential equations, statistics, optimization and linear algebra; to be able to use theoretical and applied knowledge in complex engineering problems |
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2 | To be able to identify, define, formulate, and solve complex mechatronics engineering problems; to be able to select and apply appropriate analysis and modeling methods for this purpose. |
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3 | To be able to design a complex electromechanical system, process, device or product with sensor, actuator, control, hardware, and software to meet specific requirements under realistic constraints and conditions; to be able to apply modern design methods for this purpose. |
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4 | To be able to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Mechatronics Engineering applications; to be able to use information technologies effectively. |
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5 | To be able to design, conduct experiments, collect data, analyze and interpret results for investigating Mechatronics Engineering problems. |
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6 | To be able to work effectively in Mechatronics Engineering disciplinary and multidisciplinary teams; to be able to work individually. |
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7 | To be able to communicate effectively in Turkish, both in oral and written forms; 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. |
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8 | To have knowledge about global and social impact of engineering practices on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of engineering solutions. |
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9 | To be aware of ethical behavior, professional and ethical responsibility; information on standards used in engineering applications. |
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10 | To have knowledge about industrial practices such as project management, risk management and change management; to have awareness of entrepreneurship and innovation; to have knowledge about sustainable development. |
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11 | Using a foreign language, he collects information about Mechatronics Engineering and communicates with his colleagues. ("European Language Portfolio Global Scale", Level B1) |
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12 | To be able to use the second foreign language at intermediate level. |
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13 | To recognize the need for lifelong learning; to be able to access information; to be able to follow developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Mechatronics Engineering. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest