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      SE 366 | Course Introduction and Application Information

      Course Name
      Numerical Analysis
      Code
      Semester
      Theory
      (hour/week)
      Application/Lab
      (hour/week)
      Local Credits
      ECTS
      SE 366
      Fall/Spring
      3
      0
      3
      8

      Prerequisites
      None
      Course Language
      English
      Course Type
      Service Course
      Course Level
      First Cycle
      Mode of Delivery -
      Teaching Methods and Techniques of the Course -
      National Occupation Classification -
      Course Coordinator
      • Dr. Öğr. Üyesi İbrahim ZİNCİR
      Course Lecturer(s)
      • Dr. Öğr. Üyesi İbrahim ZİNCİR
      Assistant(s) -
      Course Objectives This course is an introduction level 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.
      Learning Outcomes
      #
      Content
      PC Sub
      * Contribution Level
      1
      2
      3
      4
      5
      1be able to create solutions for both linear and non-linear problems
      2be able to use iterative approaches to analyze complex problems
      3be able to produce proper algorithms to solve complex problems
      4be able to apply numerical methods to real world engineering applications.
      Course Description Floating point arithmetic, computational linear algebra, iterative solution to nonlinear equations, interpolation, numerical solutions
      Related Sustainable Development Goals

       



      Course Category

      Core Courses
      X
      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 Introduction, Errors, Round off Algorithm, Errors of numerical results Part-1; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
      2 Programming with MATLAB Part-1; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
      3 Solution of nonlinear equations : Graphics method, Bisection Method, Secant Method Part-2; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
      4 Solution of nonlinear equations: Functional iteration method, Newton-Raphson’s method Part-2; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
      5 Solution of linear equation systems: Matrix calculations, Gauss elimination method, Pivoting Part-3; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
      6 LU factorization, Cholesky factorization, QR factorization Part-3; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
      7 Curve fitting: Lineer Regression, Least squares method Part-4; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
      8 Curve fitting: Non-Lineer Regression Part-4; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
      9 Midterm -
      10 Numerical differentiation Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
      11 Numerical integration Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
      12 Approximate solutions of differential equations: initial value problems Part-6; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
      13 Approximate solutions of differential equations: boundary value problems Part-6; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
      14 Approximate solutions of differential equations, review of topics. Part-6; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
      15 Semester Review
      16 Final Exam

       

      Course Notes/Textbooks

      Steven, C. Chapra. Applied Numerical Methods With Matlab: For Engineers And Scientists. Tata McGraw Hill Education Private Limited, 2007

      Suggested Readings/Materials

      Numerical Methods using MATLAB by Mathews and Fink, Pearson, 2004

       

      EVALUATION SYSTEM

      Semester Activities Number Weigthing LO 1 LO 2 LO 3 LO 4
      Participation
      Laboratory / Application
      Field Work
      Quizzes / Studio Critiques
      Portfolio
      Homework / Assignments
      Presentation / Jury
      Project
      Seminar / Workshop
      Oral Exams
      Midterm
      2
      60
      Final Exam
      1
      40
      Total

      Weighting of Semester Activities on the Final Grade
      3
      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
      3
      48
      Laboratory / Application Hours
      (Including exam week: '.16.' x total hours)
      16
      0
      Study Hours Out of Class
      16
      4
      64
      Field Work
      0
      Quizzes / Studio Critiques
      0
      Portfolio
      0
      Homework / Assignments
      1
      18
      18
      Presentation / Jury
      0
      Project
      0
      Seminar / Workshop
      0
      Oral Exam
      0
      Midterms
      2
      30
      60
      Final Exam
      1
      50
      50
          Total
      240

       

      COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

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

      Engineering Knowledge: Knowledge of mathematics, science, basic engineering, computer computation, and topics specific to related engineering disciplines; the ability to use this knowledge in solving complex engineering problems

      -
      -
      X
      -
      -
      1

      Mathematics

      -
      -
      -
      -
      -
      2

      Science

      -
      -
      -
      -
      -
      3

      Basic engineering

      -
      -
      -
      -
      -
      4

      Computer computation

      -
      -
      -
      -
      -
      5

      Topics specific to related engineering disciplines

      -
      -
      -
      -
      -
      6

      The ability to use this knowledge in solving complex engineering problems

      -
      -
      -
      -
      -
      2

      Problem Analysis: The ability to define, formulate, and analyze complex engineering problems by using fundamental science, mathematics, and engineering knowledge, while considering the relevant UN Sustainable Development Goals (SDGs) related to the problem.

      -
      -
      X
      -
      -
      3

      Engineering Design: The ability to design creative solutions to complex engineering problems; the ability to design complex systems, processes, devices, or products that meet present and future requirements, considering realistic constraints and conditions.

      -
      -
      X
      -
      -
      1

      The ability to design creative solutions to complex engineering problems

      -
      -
      -
      -
      -
      2

      Considering realistic constraints and conditions in designing complex systems, processes, devices, or products

      -
      -
      -
      -
      -
      3

      The ability to design in a way that meets current and future requirements

      -
      -
      -
      -
      -
      4

      Use of Techniques and Tools: The ability to select and use appropriate techniques, resources, and modern engineering and information technology tools, including prediction and modeling, for the analysis and solution of complex engineering problems, while being aware of their limitations

      -
      -
      X
      -
      -
      5

      Research and Investigation: The ability to use research methods, including literature review, designing experiments, conducting experiments, collecting data, analyzing and interpreting results, for the investigation of complex engineering problems.

      -
      -
      -
      -
      -
      1

      The ability to use research methods, including literature review

      -
      -
      -
      -
      -
      2

      Designing experiments

      -
      -
      -
      -
      -
      3

      Conducting experiments, collecting data, analyzing and interpreting results, for the investigation of complex engineering problems

      -
      -
      -
      -
      -
      6

      Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, the economy, sustainability, and the environment within the scope of the UN Sustainable Development Goals (SDGs); awareness of the legal consequences of engineering solutions

      -
      -
      -
      -
      -
      1

      Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, the economy, sustainability, and the environment within the scope of the UN Sustainable Development Goals (SDGs)

      -
      -
      -
      -
      -
      2

      Awareness of the legal consequences of engineering solutions

      -
      -
      -
      -
      -
      7

      Ethical Behavior: Acting in accordance with the principles of the engineering profession; knowledge of ethical responsibility; awareness of acting impartially and inclusively, without discrimination in any matter. (FENG101)

      -
      -
      -
      -
      -
      1

      Acting in accordance with the principles of the engineering profession; knowledge of ethical responsibility

      -
      -
      -
      -
      -
      2

      Awareness of acting impartially and inclusively, without discrimination in any matter.

      -
      -
      -
      -
      -
      8

      Individual and Team Work: The ability to work effectively as an individual and as a member or leader of both intra-disciplinary and interdisciplinary teams (whether face-to-face, remote, or hybrid).

      -
      -
      -
      -
      -
      9

      Verbal and Written Communication: Taking into account the various differences of the target audience (such as education, language, profession), particularly in technical matters.

      -
      -
      -
      -
      -
      1

      Verbal (ENGxxx)

      -
      -
      -
      -
      -
      2

      Written effective communication skills. (ENGxxx)

      -
      -
      -
      -
      -
      10

      Project Management: Knowledge of business practices such as project management and economic feasibility analysis; awareness of entrepreneurship and innovation.

      -
      -
      -
      -
      -
      1

      Knowledge of business practices such as project management and economic feasibility analysis; (FENG497-FENG498)

      -
      -
      -
      -
      -
      2

      Awareness of entrepreneurship and innovation. (FENG101)

      -
      -
      -
      -
      -
      11

      Lifelong Learning: The ability to learn independently and continuously, adapt to new and emerging technologies, and think critically about technological changes.

      -
      -
      -
      -
      -

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


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