CANKIRI KARATEKIN UNIVERSITY Bologna Information System


  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Engineering Mathematics II EEM162 SPRING 3+2 C 5
    Learning Outcomes
    1-Calculates the indefinite and the definite integrals for univariate functions
    2-Calculates area, volume, arc length and surface area with definite integral
    3-Calculates derivative and integral in multivariable functions
    4-Has the ability to examine the convergence of series.
  • ECTS / WORKLOAD
  • ActivityPercentage

    (100)

    NumberTime (Hours)Total Workload (hours)
    Course Duration (Weeks x Course Hours)14570
    Classroom study (Pre-study, practice)14342
    Assignments205315
    Short-Term Exams (exam + preparation) 0000
    Midterm exams (exam + preparation)3011010
    Project0000
    Laboratory 10122
    Final exam (exam + preparation) 4011212
    0000
    Total Workload (hours)   151
    Total Workload (hours) / 30 (s)     5,03 ---- (5)
    ECTS Credit   5
  • Course Content
  • Week Topics Study Metarials
    1 Partial integration method; simple fractional separation method R3-Chapter 6
    2 Inverse variable changing method; improper integrals R1-Chapter 8
    3 The volumes of the rotating bodies; arc length and surface area R1-Chapter 9
    4 Series and convergence; infinite series; convergence tests for positive series R1-Chapter 10
    5 Absolute and conditional convergence; force series; Taylor and Maclaurin series R1-Chapter 11
    6 Multivariable functions; limit and continuity; partial derivation R1-Chapter 12
    7 Higher order derivatives; chain rule; linear approach R1-Chapter 13
    8 Gradient and directional derivative; closed functions and closed function theory R2-Chapter 10
    9 Maximum and minimum, Lagrange multipliers method R2-Chapter 11
    10 Double integrals; Iteration of double integrals in Cartesian coordinates R2-Chapter 12
    11 Variable change in double integrals; Double integrals in polar coordinates R2-Chapter 13
    12 Triple integrals; variable change in triple integrals; Triple integrals in cylindrical and spherical coordinates R2-Chapter 14
    13 Vector and scalar fields; linear integrals; surface integrals R2-Chapter 15
    14 Green, Divergence and Stoke theorems R2-Chapter 16
    Prerequisites -
    Language of Instruction Turkish
    Responsible Asst. Prof. Dr. Göksu GÖREL
    Instructors -
    Assistants -
    Resources R1- Adams, R. A. & Christopfer, E. (2010). Çeviren: Terziler, M. & Öner, T. (2017). Kalkülüs Eksiksiz Bir Ders (1. Basım), Palme Yayınevi, Ankara. R2-Balcı, M. (2011). Matematik Analiz II (1. Basım), Balcı Yayınları, Ankara. R3- Musayev, B. & Alp, M. & Mustafayev, N. (2007). Teori ve çözümlü Problemlerle Analiz II (2. Basım), Seçkin Yayıncılık, Ankara.
    Supplementary Book -
    Goals To teach the basic concepts and subjects required for the solution of the mathematical problems related to the discipline of the student
    Content Partial integration method; simple fractional separation method, Inverse variable changing method; improper integrals, The volumes of the rotating bodies; spring length and surface area, Series and convergence; infinite series; convergence tests for positive series, Absolute and conditional convergence; force series; Taylor and Maclaurin series, Multivariable functions; limit and continuity; partial derivation, Higher order derivatives; chain rule; linear approach, Gradient and directional derivative; closed functions and Closed Function theorem, Maximum and minimum. Lagrange multiplier method, Double integrals; Cartesian double integrals in the coordinates iteration, Variable in two-level integrals changing; At polar coordinates double integrals, Triple integrals; three storey changing variables in integers; Three cylindrical and spherical coordinates folded integrals, Vector and scalar fields; linear integrals; surface integrals, Green, Divergence and Stoke theorems
  • Program Learning Outcomes
  • Program Learning Outcomes Level of Contribution
    1 Acquired the necessary skills in the areas of mathematics, applied sciences and his/her own field; has the ability to use collectively these concepts and applications of these fields to solve the problems of Electrical and Electronics Engineering, 3
    2 Has the ability to define, identify, formulate and solve the problems of Electrical and Electronics Engineering and selects the appropriate analytic solutions, modelling and applies them in an orderly manner, 3
    3 Analyses a system or a process and designs it under the given constraints meeting the requirements; applies the up to date design techniques in this direction, -
    4 Has the ability to choose and utilize the modern technologies and tools of engineering; has the ability to use information technologies and at least one software language (at the advanced European License level) in an efficient way, -
    5 Has the ability to design experiments, carries out experiments, analyses results and makes comments on these results, -
    6 Has access to information and undertakes literature survey in this direction; has the ability to search and use databases and other data resources, 3
    7 Can participate and assume responsibility in multidisciplinary task forces, -
    8 Has the ability to communicate in Turkish verbally and in written forms; has the knowledge of one foreign language of European portfolio at the B1 level, -
    9 Conscious of lifelong learning; follows the science and technological developments and updates himself/herself continually, -
    10 Has the responsibility and conscious in his/her profession, 3
    11 Has the ability to conduct projects, has knowledge of the work procedures, health of workers, environment and safety procedures of work places; is aware of legal consequences of engineering applications, -
    12 Is conscious of the consequences and effects of engineering solutions and applications in public and universal dimensions; is aware of innovation matters and has knowledge of the contemporary issues and problems, 2
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