İzmir Ekonomi Üniversitesi
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  • FACULTY OF ENGINEERING

    Department of Mechanical Engineering

    FENG 345 | Course Introduction and Application Information

    Course Name
    Numerical Methods for Engineers I
    Code
    Semester
    Theory
    (hour/week)
    Application/Lab
    (hour/week)
    Local Credits
    ECTS
    FENG 345
    Fall
    2
    2
    3
    7

    Prerequisites
      MATH 154 To attend the classes (To enrol for the course and get a grade other than NA or W)
    Course Language
    English
    Course Type
    Required
    Course Level
    First Cycle
    Mode of Delivery -
    Teaching Methods and Techniques of the Course -
    National Occupation Classification -
    Course Coordinator
    Course Lecturer(s)
    Assistant(s)
    Course Objectives
    Learning Outcomes
    #
    Content
    PC Sub
    * Contribution Level
    1
    2
    3
    4
    5
    1Define complex mathematical models.
    2Create solutions for both linear and non-linear problems.
    3Define the process of fitting curves to the data sets.
    4Explain numerical differentials and integrals.
    5Solve differential equations using numerical techniques.
    6Discuss the applications of numerical analysis techniques in Engineering.
    Course Description Solutions of system of linear equations, iterative methods, interpolation, cubic splines, numerical differentiation, numerical integration, numerical solution of nonlinear equations, initial value problems, numerical solution of ordinary differential equations, finite difference method, engineering application problems.

     



    Course Category

    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 Learning Outcome
    1 MATLAB Fundamentals and Introduction to Numerical Analysis, Programmming with MATLAB Part-1; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 3
    2 Introduction to Differetial Equation: Euler Method, Error Analysis Part-1; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 1,4
    3 Nonlinear Algebraic Equations-Polynomials, Bisection Method Part-2; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 5
    4 Nonlinear Algebraic Equations-Polynomials, Newton-Raphson Method Part-2; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 6
    5 Linear Algebraic Equations, Gauss Elimination Method Part-3; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 8,9
    6 Linear Algebraic Equations and Curve Fitting Part-3; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 8,9,14
    7 Curve fitting: Linear Regression, least squares method Part-4; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 14,15
    8 Midterm
    9 Curve Fitting; Interpolation (lineer and quadratic interpolation) Part-4; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 17
    10 Numerical Integration Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 19,20
    11 Numerical Integration Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 19,20
    12 Numerical Differentiation Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 21
    13 Approximate solutions of differential equations Part-6; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 22
    14 Engineering Applications of Differential Equations Part-6; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 22
    15 Course Review
    16 Final Exam

     

    Course Notes/Textbooks

    Steven, C. Chapra. Applied Numerical Methods with MATLAB for Engineers and Scientists. Fourth Edition, McGraw-Hill, 2018.

    ISBN 978-0-07-339796-2

    Suggested Readings/Materials

    Numerical Analysis by Timothy Sauer, 2006, Pearson;

    Numerical Methods for Engineers and Scientists: An Introduction with Applications using MATLAB by Gilat and Subramaniam, Wiley.

     

    EVALUATION SYSTEM

    Semester Activities Number Weigthing LO 1 LO 2 LO 3 LO 4 LO 5 LO 6
    Participation
    Laboratory / Application
    Field Work
    Quizzes / Studio Critiques
    4
    30
    Portfolio
    Homework / Assignments
    Presentation / Jury
    Project
    Seminar / Workshop
    Oral Exams
    Midterm
    1
    30
    Final Exam
    1
    40
    Total

    Weighting of Semester Activities on the Final Grade
    5
    60
    Weighting of End-of-Semester Activities on the Final Grade
    1
    40
    Total

    ECTS / WORKLOAD TABLE

    Semester Activities Number Duration (Hours) Workload
    Theoretical Course Hours
    (Including exam week: 16 x total hours)
    16
    2
    32
    Laboratory / Application Hours
    (Including exam week: '.16.' x total hours)
    16
    2
    32
    Study Hours Out of Class
    16
    4
    64
    Field Work
    0
    Quizzes / Studio Critiques
    4
    5
    20
    Portfolio
    0
    Homework / Assignments
    0
    Presentation / Jury
    0
    Project
    0
    Seminar / Workshop
    0
    Oral Exam
    0
    Midterms
    1
    24
    24
    Final Exam
    1
    38
    38
        Total
    210

     

    COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

    #
    PC Sub Program Competencies/Outcomes
    * Contribution Level
    1
    2
    3
    4
    5
    1

    To have adequate knowledge in Mathematics, Mathematics based physics, statistics and linear algebra and Mechanical Engineering; to be able to use theoretical and applied information in these areas on complex engineering problems.

    X
    -
    -
    -
    -
    2

    To be able to identify, define, formulate, and solve complex Mechanical Engineering problems; to be able to select and apply proper analysis and modeling methods for this purpose.

    -
    -
    X
    -
    -
    3

    To be able to design a thermal and mechanical system, process, device or product under realistic constraints and conditions, in such a way as to meet the requirements; to be able to apply modern design methods for this purpose.

    -
    -
    -
    -
    -
    4

    To be able to devise, select, and use modern techniques and tools needed for analysis and solution of complex problems in engineering applications.

    -
    -
    -
    -
    -
    5

    To be able to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or Mechanical Engineering research topics.

    -
    -
    -
    -
    -
    6

    To be able to work efficiently in Mechanical Engineering disciplinary and multi-disciplinary teams; to be able to work individually.

    -
    -
    -
    -
    -
    7

    To be able to communicate effectively in Turkish, both orally and in writing; to be able to author and comprehend written reports, to be able to prepare design and implementation reports, to present effectively, to be able to give and receive clear and comprehensible instructions.

    -
    -
    -
    -
    -
    8

    To have knowledge about global and social impact of engineering practices on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of engineering solutions.

    -
    -
    -
    -
    -
    9

    To be aware of ethical behavior, professional and ethical responsibility; to have knowledge about standards utilized in engineering applications.

    -
    -
    -
    -
    -
    10

    To have knowledge about industrial practices such as project management, risk management, and change management; to have awareness of entrepreneurship and innovation; to have knowledge about sustainable development.

    -
    -
    -
    -
    -
    11

    To be able to collect data in the area of Mechanical Engineering, and to be able to communicate with colleagues in a foreign language.

    -
    -
    -
    -
    -
    12

    To be able to speak a second foreign language at a medium level of fluency efficiently.

    -
    -
    -
    -
    -
    13

    To recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Mechanical Engineering.

    -
    -
    -
    -
    -

    *1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

     


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