GRADUATE SCHOOL
Ph.D. In Computer Engineering
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 | Understands and applies the foundational theories of Computer Engineering in a high level. | X | ||||
| 2 | Possesses a great depth and breadth of knowledge about Computer Engineering including the latest developments. | X | ||||
| 3 | Can reach the latest information in Computer Engineering and possesses a high level of proficiency in the methods and abilities necessary to comprehend it and conduct research with it. | X | ||||
| 4 | Conducts a comprehensive study that introduces innovation to science and technology, develops a new scientific procedure or a technological product/process, or applies a known method in a new field. | X | ||||
| 5 | Independently understands, designs, implements and concludes a unique research process in addition to managing it. | X | ||||
| 6 | Contributes to science and technology literature by publishing the output of his/her academic studies in respectable academic outlets. | X | ||||
| 7 | Interprets scientific, technological, social and cultural developments and relates them to the general public with a commitment to scientific objectivity and ethical responsibility. | X | ||||
| 8 | Performs critical analysis, synthesis and evaluation of ideas and developments in Computer Engineering. | X | ||||
| 9 | Performs verbal and written communications with professionals as well as broader scientific and social communities in Computer Engineering, by using English at least at the European Language Portfolio C1 General level, performs written, oral and visual communications and discussions in a high level. | X | ||||
| 10 | Develops strategies, policies and plans about systems and topics that Computer Engineering uses, and interprets the outcomes. | X | ||||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest