İzmir Ekonomi Üniversitesi
  • TÜRKÇE

  • GRADUATE SCHOOL

    M.SC. in Computer Engineering (Without Thesis)

    MATH 663 | Course Introduction and Application Information

    Course Name
    Biomathematics
    Code
    Semester
    Theory
    (hour/week)
    Application/Lab
    (hour/week)
    Local Credits
    ECTS
    MATH 663
    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 Problem Solving
    Q&A
    Lecture / Presentation
    National Occupation Classification -
    Course Coordinator -
    Course Lecturer(s)
    Assistant(s)
    Course Objectives The aim of this course is to model biological systems using ordinary differential equations, solve the developed biological models with numerical methods, and simulate and interpret the solutions using MATLAB.
    Learning Outcomes

    The students who succeeded in this course;

    • model biological phenomena using ordinary differential equations
    • define and model population and disease models
    • use numerical methods
    • analyze biological systems using numerical methods.
    • write programs in MATLAB programming language
    • interpret the systems they have solved
    Course Description The fundamental applications of ordinary differential equations in biology and the mathematical modeling of biological systems using these equations. The numerical solutions of the developed models and the biological interpretation of the analyzed results.
    Related Sustainable Development Goals

     



    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
    1 Linear differential equations: theory and examples, introduction, basic definitions and notation, first-order linear systems "An Introduction to Mathematical Biology" by Linda J.S.Allen, Pearson, 2006. ISBN-13: 9780130352163
    2 Application to population growth models, delay logistic equation "An Introduction to Mathematical Biology" by Linda J.S.Allen, Pearson, 2006. ISBN-13: 9780130352163
    3 Biological applications of differential equations; harvesting a single population, predator-prey models, competiton models "An Introduction to Mathematical Biology" by Linda J.S.Allen, Pearson, 2006. ISBN-13: 9780130352163
    4 Biological applications of differential equations; Disease Models "An Introduction to Mathematical Biology" by Linda J.S.Allen, Pearson, 2006. ISBN-13: 9780130352163
    5 Biological applications of differential equations; Disease Models "An Introduction to Mathematical Biology" by Linda J.S.Allen, Pearson, 2006. ISBN-13: 9780130352163
    6 Biological applications of differential equations; Disease Models "An Introduction to Mathematical Biology" by Linda J.S.Allen, Pearson, 2006. ISBN-13: 9780130352163
    7 Euler method "Numerical solutions of ordinary differential equations", Kendall Atkinson, Weimin Han, David Stewart, Chapter 2
    8 Systems of differential equations Numerical solutions of ordinary differential equations", Kendall Atkinson, Weimin Han, David Stewart, Chapter 3
    9 The backward Euler method and the trapezoidal method "Numerical solutions of ordinary differential equations", Kendall Atkinson, Weimin Han, David Stewart, Chapter 4
    10 The backward Euler method and the trapezoidal method "Numerical solutions of ordinary differential equations", Kendall Atkinson, Weimin Han, David Stewart, Chapter 4
    11 Taylor and Runge–Kutta methods "Numerical solutions of ordinary differential equations", Kendall Atkinson, Weimin Han, David Stewart, Chapter 5
    12 Applications to biological models
    13 Applications to biological models
    14 Presentations
    15 Presentations
    16 Final Exam

     

    Course Notes/Textbooks

    "An Introduction to Mathematical Biology" by  Linda J.S.Allen, Pearson, 2006. ISBN-13: 978-0130352163

    Suggested Readings/Materials

    "An Invitation to Biomathematics" by Raina Stefanova Robeva, James R. Kirkwood, Robin Lee Davies, Leon Farhy, Boris P. Kovatchev, Academic Press, 1st Edition, 2007. ISBN-13: 978-0120887712

    "Numerical solutions of ordinary differential equations", Kendall Atkinson, Weimin Han, David Stewart

     

    EVALUATION SYSTEM

    Semester Activities Number Weigthing
    Participation
    Laboratory / Application
    Field Work
    Quizzes / Studio Critiques
    Portfolio
    Homework / Assignments
    Presentation / Jury
    1
    25
    Project
    1
    25
    Seminar / Workshop
    Oral Exams
    Midterm
    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
    14
    6
    84
    Field Work
    0
    Quizzes / Studio Critiques
    0
    Portfolio
    0
    Homework / Assignments
    0
    Presentation / Jury
    1
    25
    25
    Project
    1
    25
    25
    Seminar / Workshop
    0
    Oral Exam
    0
    Midterms
    0
    Final Exam
    1
    43
    43
        Total
    225

     

    COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

    #
    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


    NEW GÜZELBAHÇE CAMPUS

    Details

    GLOBAL CAREER

    As Izmir University of Economics transforms into a world-class university, it also raises successful young people with global competence.

    More..

    CONTRIBUTION TO SCIENCE

    Izmir University of Economics produces qualified knowledge and competent technologies.

    More..

    VALUING PEOPLE

    Izmir University of Economics sees producing social benefit as its reason for existence.

    More..

    BENEFIT TO SOCIETY

    Transferring 22 years of power and experience to social work…

    More..
    You are one step ahead with your graduate education at Izmir University of Economics.