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İzmir Ekonomi Üniversitesi

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    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 -
    National Occupation Classification -
    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;

    • will be able to analyze and model complex mathematical problems.
    • will be able to create solutions for both linear and non-linear problems.
    • will be able to use iterative approaches to analysis problems.
    • will be able to produce proper algorithms to solve complex problems.
    • will be able to apply numerical methods to real world engineering applications.
    Course Description Floating point arithmetic, computational linear algebra, iterative solution to nonlinear equations, iterpolation, numerical integration, numerical solution of ODEs, computer subroutine packages.

     



    Course Category

    		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 Learning Outcome
    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

    #
    		 PC Sub 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

     

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