Bologna Information System

  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Learning Outcomes
    1-To apprehend fundamental theorems and their proofs related to definitions and indefinite integrals of functions of one variable.
    2-To apprehend calculation methods for definite and indefinite integrals of functions of one variable.
    3-To calculate area in the plane, arclength of a curve and surface areas and volumes of revolutions by using definite integral.
    4-To know improper integrals and investigate their convergence.
  • ActivityPercentage


    NumberTime (Hours)Total Workload (hours)
    Course Duration (Weeks x Course Hours)14684
    Classroom study (Pre-study, practice)14684
    Short-Term Exams (exam + preparation) 102816
    Midterm exams (exam + preparation)3011616
    Laboratory 0000
    Final exam (exam + preparation) 5011818
    Other 0000
    Total Workload (hours)   234
    Total Workload (hours) / 30 (s)     7,8 ---- (8)
    ECTS Credit   8
  • Course Content
  • Week Topics Study Metarials
    1 Introduction to antiderivatives and indefinite integral
    2 Basic integral formulas
    3 Rules for changing variables in integrals
    4 Changing variables and ceratin applications
    5 Integration by writing in simple fractions and inverse substitution
    6 Integration by parts and certain examples
    7 Recursion formulas for integration and ceratin examples
    8 Riemannian sums and Riemann (definite) integral
    9 Definite integral, its properties, Mean-value theorem and certain examples
    10 Fundamental theorem of differential and integral computation
    11 Applications of definite integral: Area between two curves and Arclenght
    12 Applications of definite integral: Surface area and volumes of revolutions
    13 Improper integrals and their types
    14 Tests for convergence relating to improper integrals
    Prerequisites ANALYSIS I
    Language of Instruction Turkish
    Course Coordinator Prof. Dr. Hüseyin IRMAK
    Instructors -
    Assistants -
    Resources Teori ve Çözümlü Problemlerle Analiz II, Binali Musayev, Murat Alp, Nizami Mustafayev, Seçkin Yayıncılık, 2007.
    Supplementary Book [1] Analiz, M. Balcı, Balcı Yayınlar, ISBN:978-9756683-02-6, 2008. [2] Calculus, Robert A. Adams, Addison-Wesley. [3] Yüksek Matematik 1, Hüseyin Halilov, Alemdar Hasanoğlu, Mehmet Can, Literatür Yayıncılık, 2009. [4] Introduction to Real Analysis, Robert G. Bartle, Donald R. Sherbert, John Wiley & Sons.
    Document Lecture Notes
    Goals To teach integral, sequence and series notions and computational methods for these topics for single variable functions.
    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 5
    4 To be able to relate the gained mathematical acquisitions with different disciplines and apply in real life 4
    5 To have the qualification of studying independently in a problem or a project requiring mathematical knowledge 2
    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 2
    8 To be able to determine what sort of knowledge the problem met requires and guide the process of learning this knowledge 2
    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 3
    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 -
    14 To have the awareness of acting compatible with social, scientific, cultural and ethical values -
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