GRADUATE SCHOOL
M.SC. in Computer Engineering (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
|
|||||
| Course Language |
English
|
|||||
| Course Type |
Elective
|
|||||
| Course Level |
Third Cycle
|
|||||
| 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 |
X
|
|
| 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 | Accesses information in breadth and depth by conducting scientific research in Computer Engineering; evaluates, interprets and applies information. |
X | ||||
| 2 | Is well-informed about contemporary techniques and methods used in Computer Engineering and their limitations. | X | ||||
| 3 | Uses scientific methods to complete and apply information from uncertain, limited or incomplete data; can combine and use information from different disciplines. |
X | ||||
| 4 | Is informed about new and upcoming applications in the field and learns them whenever necessary. | X | ||||
| 5 | Defines and formulates problems related to Computer Engineering, develops methods to solve them and uses progressive methods in solutions. |
X | ||||
| 6 | Develops novel and/or original methods, designs complex systems or processes and develops progressive/alternative solutions in designs | X | ||||
| 7 | Designs and implements studies based on theory, experiments and modelling; analyses and resolves the complex problems that arise in this process. |
X | ||||
| 8 | Can work effectively in interdisciplinary teams as well as teams of the same discipline, can lead such teams and can develop approaches for resolving complex situations; can work independently and takes responsibility. |
X | ||||
| 9 | Engages in written and oral communication at least in Level B2 of the European Language Portfolio Global Scale. |
X | ||||
| 10 | Communicates the process and the results of his/her studies in national and international venues systematically, clearly and in written or oral form. |
X | ||||
| 11 | Is knowledgeable about the social, environmental, health, security and law implications of Computer Engineering applications, knows their project management and business applications, and is aware of their limitations in Computer Engineering applications. |
X | ||||
| 12 | Highly regards scientific and ethical values in data collection, interpretation, communication and in every professional activity. |
X | ||||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest