GRADUATE SCHOOL
M.SC. in Bioengineering (With Thesis)
CE 609 | Course Introduction and Application Information
| Course Name |
Advanced Numerical Analysis
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
CE 609
|
Fall/Spring
|
3
|
0
|
3
|
7.5
|
| Prerequisites |
None
|
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| Course Language |
English
|
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| Course Type |
Elective
|
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| Course Level |
Third 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 augmented 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 on the computer. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | Floating point arithmetic, computational linear algebra, iterative solution to nonlinear equations, iterpolation, numerical integration, numerical solution of ODEs, computer subroutine packages. |
|
|
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 | Chapter 1 |
| 2 | Solving nonlinear equations | Chapter 2 |
| 3 | Solving nonlinear equations | Chapter 2 – Lecture Notes - Applications |
| 4 | Solving a system linear equations | Chapter 3 |
| 5 | Solving a system linear equations | Chapter 3– Lecture Notes – Applications |
| 6 | Curve Fitting and Interpolation | Chapter 4 |
| 7 | Curve Fitting and Interpolation | Chapter 4– Lecture Notes – Applications |
| 8 | Numerical differentioation | Chapter 5 |
| 9 | Numerical differentioation | Chapter 5– Lecture Notes – Applications |
| 10 | Numerical integration | Chapter 6 |
| 11 | Numerical integration | Chapter 6– Lecture Notes – Applications |
| 12 | Ordinary differential equations’ problems | Chapter 7– Lecture Notes – Applications |
| 13 | Ordinary differential equations’ problems | Chapter 8– Lecture Notes – Applications |
| 14 | Review | Lecture Notes - Applications |
| 15 | Review | Lecture Notes - Applications |
| 16 | - |
| Course Notes/Textbooks | Applied Numerical Methods for Engineers and Scientists, Singiresu Rao, Pearson, 2001, ISBN13: 9780130894809 Numeriacal Methods - An introduction with Applications Using MATLAB, Amos Gilat, Vish Subramaniam, Wiley, 2011, ISBN13: 978047087374-8 |
| Suggested Readings/Materials | Lecture Notes |
EVALUATION SYSTEM
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques | ||
| Portfolio | ||
| Homework / Assignments |
4
|
20
|
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm |
1
|
30
|
| Final Exam |
1
|
50
|
| Total |
| Weighting of Semester Activities on the Final Grade |
2
|
50
|
| Weighting of End-of-Semester Activities on the Final Grade |
1
|
50
|
| 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
|
8
|
128
|
| Field Work |
0
|
||
| Quizzes / Studio Critiques |
20
|
0
|
|
| Portfolio |
0
|
||
| Homework / Assignments |
0
|
||
| Presentation / Jury |
0
|
||
| Project |
0
|
||
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
1
|
22
|
22
|
| Final Exam |
1
|
27
|
27
|
| Total |
225
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
|
1
|
2
|
3
|
4
|
5
|
||
| 1 | To be able to have adequate knowledge in Mathematics, Life Sciences and Bioengineering; to be able to use theoretical and applied information in these areas to model and solve Bioengineering problems. |
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| 2 | To be able to use scientific methods to complete and apply information from uncertain, limited or incomplete data; to be able to combine and use information from related disciplines. |
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| 3 | To be able to design and apply theoretical, experimental and model-based research; to be able to solve complex problems in such processes. |
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| 4 | Being able to utilize Natural Sciences and Bioengineering principles to design systems, devices and processes. |
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| 5 | To be able to follow and apply new developments and technologies in the field of Bioengineering. |
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| 6 | To be able to work effectively in multi-disciplinary teams within the discipline of Bioengineering; to be able to exhibit individual work. |
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| 7 | To be able to have the knowledge about the social, environmental, health, security and law implications of Bioengineering applications, to be able to have the knowledge to manage projects and business applications, and to be able to be aware of their limitations in professional life. |
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| 8 | To be able to have the social, scientific and ethical values in the stages of collection, interpretation, dissemination and application of data related to the field of Bioengineering. |
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| 9 | To be able to prepare an original thesis/term project in accordance with the criteria related to the field of Bioengineering. |
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| 10 | To be able to follow information about Bioengineering in a foreign language and to be able to participate in discussions in academic environments. |
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| 11 | To be able to improve the acquired knowledge, skills and qualifications for social and universal purposes regarding the studied area. |
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| 12 | To be able to recognize regional and global issues/problems, and to be able to develop solutions based on research and scientific evidence related to Bioengineering. |
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*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest