Bologna Information System

  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Learning Outcomes
    1-To explain derivative of complex functions and related theorems.
    2-To explain cauchy riemann equations and their applications.
    3-To calculate complex integrals.
    4-To determine rezidues and improper integrals.
    5-To determine zeros and poles of complex functions.
    6-To explain important theorems (morera, liouville etc).
  • ActivityPercentage


    NumberTime (Hours)Total Workload (hours)
    Course Duration (Weeks x Course Hours)14456
    Classroom study (Pre-study, practice)14570
    Short-Term Exams (exam + preparation) 1021224
    Midterm exams (exam + preparation)3011616
    Laboratory 0000
    Final exam (exam + preparation) 5011818
    Other 0000
    Total Workload (hours)   208
    Total Workload (hours) / 30 (s)     6,93 ---- (7)
    ECTS Credit   7
  • Course Content
  • Week Topics Study Metarials
    1 Certain basic foreknowledge, introduction to elementer complex functions
    2 Derivatives of elementer complex functions and related theorems
    3 Analytic functions and their derivatives
    4 Cauchy-Riemann equations and their applications
    5 Harmonic functions, w(t) curves in complex plane, countours, domains.
    6 Concept of complex integral, basic definitions, related theorems
    7 Cauchy Goursat theorem, related theorem, certain applications
    8 Cauchy Integral formulas, related theorems and applications
    9 Morera theorem
    10 Maksimum modulus theorem, Liouville theorem and fundemental theorem of algebra Goursat theorem and related results
    11 Taylor and Laurent Series
    12 Zeros and poles of analytic functions, rezidue and related theorems
    13 Rezidues and related theorems, concepts of improper integrals
    14 Some applications of improper integrals
    Prerequisites COMPLEX ANALYSIS I
    Language of Instruction Turkish
    Course Coordinator Prof. Dr. Hüseyin IRMAK
    Instructors -
    Assistants -
    Resources Complex variables and applications - 6th ed., Brown, J. W., McGraw-Hill., 2005.
    Supplementary Book [1] Theory and problems of complex analysis, Schaum`s Outlines Series, Spiegel, M., Metric Editions , 1986 [2] Calculus with Analytic Geometry, Silverman, R. A., Prentice Hall., 1985 . [3] Real and Complex Analysis, Rudin, W., McGraw-Hill., 1991. [4] Complex variable with applicatins, Ponnusamy, S. and Silverman, H., Birkhauser, Berlin, 2006.
    Document Lecture notes
    Goals To introduce elementer functions, their derivatives, integrals and to apply them to complex functions and to know important theorems.
    Content -
  • Program Learning Outcomes
  • Program Learning Outcomes Level of Contribution
    1 To have a grasp of theoretical and applied knowledge in main fields of mathematics 5
    2 To have the ability of abstract thinking 4
    3 To be able to use the gained mathematical knowledge in the process of identifying the problem, analyzing and determining the solution steps 4
    4 To be able to relate the gained mathematical acquisitions with different disciplines and apply in real life 3
    5 To have the qualification of studying independently in a problem or a project requiring mathematical knowledge 3
    6 To be able to work compatibly and effectively in national and international groups and take responsibility -
    7 To be able to consider the knowledge gained from different fields of mathematics with a critical approach and have the ability to improve the knowledge 4
    8 To be able to determine what sort of knowledge the problem met requires and guide the process of learning this knowledge 5
    9 To adopt the necessity of learning constantly by observing the improvement of scientific accumulation over time -
    10 To be able to transfer thoughts on issues related to mathematics, proposals for solutions to the problems to the expert and non-expert shareholders written and verbally 4
    11 To be able to produce projects and arrange activities with awareness of social responsibility -
    12 To be able to follow publications in mathematics and exchange information with colleagues by mastering a foreign language at least European Language Portfolio B1 General Level -
    13 To be able to make use of the necessary computer softwares (at least European Computer Driving Licence Advanced Level), information and communication technologies for mathematical problem solving, transfer of thoughts and results 4
    14 To have the awareness of acting compatible with social, scientific, cultural and ethical values -
    Çankırı Karatekin Üniversitesi  Bilgi İşlem Daire Başkanlığı  @   2017 - Webmaster