| 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
|
|||||
| Course Language |
English
|
|||||
| Course Type |
Service Course
|
|||||
| Course Level |
First Cycle
|
|||||
| Mode of Delivery | - | |||||
| Teaching Methods and Techniques of the Course | - | |||||
| National Occupation Classification | - | |||||
| 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 |
| Related Sustainable Development Goals |
|
|
|
Core Courses |
X
|
| Major Area Courses | ||
| Supportive Courses | ||
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
| 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 |
| 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 |
| 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
|
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
|||||
|
1
|
2
|
3
|
4
|
5
|
|||
| 1 |
Engineering Knowledge: Knowledge of mathematics, science, basic engineering, computer computation, and topics specific to related engineering disciplines; the ability to use this knowledge in solving complex engineering problems |
-
|
-
|
X
|
-
|
-
|
|
| 2 |
Problem Analysis: The ability to define, formulate, and analyze complex engineering problems by using fundamental science, mathematics, and engineering knowledge, while considering the relevant UN Sustainable Development Goals (SDGs) related to the problem. |
-
|
-
|
X
|
-
|
-
|
|
| 3 |
Engineering Design: The ability to design creative solutions to complex engineering problems; the ability to design complex systems, processes, devices, or products that meet present and future requirements, considering realistic constraints and conditions. |
-
|
-
|
X
|
-
|
-
|
|
| 4 |
Use of Techniques and Tools: The ability to select and use appropriate techniques, resources, and modern engineering and information technology tools, including prediction and modeling, for the analysis and solution of complex engineering problems, while being aware of their limitations |
-
|
-
|
X
|
-
|
-
|
|
| 5 |
Research and Investigation: The ability to use research methods, including literature review, designing experiments, conducting experiments, collecting data, analyzing and interpreting results, for the investigation of complex engineering problems. |
-
|
-
|
-
|
-
|
-
|
|
| 6 |
Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, the economy, sustainability, and the environment within the scope of the UN Sustainable Development Goals (SDGs); awareness of the legal consequences of engineering solutions |
-
|
-
|
-
|
-
|
-
|
|
| 7 |
Ethical Behavior: Acting in accordance with the principles of the engineering profession; knowledge of ethical responsibility; awareness of acting impartially and inclusively, without discrimination in any matter. (FENG101) |
-
|
-
|
-
|
-
|
-
|
|
| 8 |
Individual and Team Work: The ability to work effectively as an individual and as a member or leader of both intra-disciplinary and interdisciplinary teams (whether face-to-face, remote, or hybrid). |
-
|
-
|
-
|
-
|
-
|
|
| 9 |
Verbal and Written Communication: Taking into account the various differences of the target audience (such as education, language, profession), particularly in technical matters. |
-
|
-
|
-
|
-
|
-
|
|
| 10 |
Project Management: Knowledge of business practices such as project management and economic feasibility analysis; awareness of entrepreneurship and innovation. |
-
|
-
|
-
|
-
|
-
|
|
| 11 |
Lifelong Learning: The ability to learn independently and continuously, adapt to new and emerging technologies, and think critically about technological changes. |
-
|
-
|
-
|
-
|
-
|
|
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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