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İzmir Ekonomi Üniversitesi

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    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 -
    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 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

     

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