CANKIRI KARATEKIN UNIVERSITY Bologna Information System


  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Certain Special Functions and Transformations MAT505 FALL-SPRING 3+0 E 6
    Learning Outcomes
    1-Sorts the basic properties of Melin, Hankel and Z transformations.
    2-Sorts the basic properties of the inverse transformations of Melin, Kankel and Z transformations.
    3-Applies the knowledge of Melin, Kankel and Z transformations.
    4-Applies the knowledge of the inverse transformations of Melin, Kankel and Z transformations.
  • ECTS / WORKLOAD
  • ActivityPercentage

    (100)

    NumberTime (Hours)Total Workload (hours)
    Course Duration (Weeks x Course Hours)14342
    Classroom study (Pre-study, practice)14570
    Assignments2021224
    Short-Term Exams (exam + preparation) 0000
    Midterm exams (exam + preparation)3011616
    Project0000
    Laboratory 0000
    Final exam (exam + preparation) 5011818
    0000
    Total Workload (hours)   170
    Total Workload (hours) / 30 (s)     5,67 ---- (6)
    ECTS Credit   6
  • Course Content
  • Week Topics Study Metarials
    1 Some foreknowledge R1. Section 1.1
    2 Melin transformation and certain related definitions and theorems R1. Section 2.1
    3 The inverse of Melin transformation and certain related definitions and theorems R1. Section 2.2
    4 Some applications of Melin transformation and its inverse R1. Section 2.3
    5 Hankel transformation and certain related definitions and theorems R1. Section 3.1
    6 The inverse Hankel transformation and certain related definitions and theorems R1. Section 3.2
    7 Some applications of Hankel transformation and its inverse R1. Section 3.3
    8 Z transformation and certain related definitions and theorems R1. Section 4.1
    9 Certain convolutions of Z transformation R1. Section 4.2
    10 Some applications of Z transformation R1. Section 4.3
    11 The inverse of Z transformation and certain related definitions and theorems R1. Section 4.4
    12 Some applications of the inverse of Z transformation R1. Section 4.5
    13 Certain special transformations defined the related transformations R1. Section 5.1
    14 Some applications of certain special transformations defined the related transformations R1. Section 5.2
    Prerequisites -
    Language of Instruction Turkish
    Responsible Prof. Dr. Hüseyin IRMAK
    Instructors -
    Assistants
    Resources R1. Lecture notes
    Supplementary Book SR1. Debnath, L., & Bhatta, D. (2016). Integral transforms and their applications. Chapman and Hall/CRC. SR2. Giffin, W. C. (1975). Transform techniques for probability modeling. Academic Press.
    Goals To comprehend Melin, Hankel, and Z transformations and their applications
    Content Melin, Hankel, Z transformations and their inverse transformation and some applications of them.
  • Program Learning Outcomes
  • Program Learning Outcomes Level of Contribution
    1 Improve and deepen the gained knowledge in Mathematics in the speciality level 3
    2 Use gained speciality level theoretical and applied knowledge in mathematics 4
    3 Perform interdisciplinary studies by relating the gained knowledge in Mathematics with other fields. 3
    4 Analyze mathematical problems by using the gained research methods -
    5 Conduct independently a study requiring speciliaty in Mathematics -
    6 Develop different approaches and produce solutions by taking responsibility to problems encountered in applications -
    7 Evaluate the gained speciality level knowledge and skills with a critical approach and guide the process of learning -
    8 Transfer recent and own research related to mathematics to the expert and non-expert shareholders written, verbally and visually -
    9 Uses computer software and information technologies related to the field of mathematics at an advanced level. -
    10 Have the awareness of acting compatible with social, scientific, cultural and ethical values during the process of collecting, interpreting, applying and informing data related to Mathematics -
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