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Syllabus ( MATH 452 )


   Basic information
Course title: History Of Mathematics
Course code: MATH 452
Lecturer: Prof. Dr. Mansur İSGENDEROĞLU (İSMAİLOV)
ECTS credits: 4
GTU credits: 3 (3+0+0)
Year, Semester: 4, Spring
Level of course: First Cycle (Undergraduate)
Type of course: Compulsory
Language of instruction: English
Mode of delivery: Face to face
Pre- and co-requisites: None
Professional practice: No
Purpose of the course: To help students to obtain a broad perspective about the historical development of mathematics
   Learning outcomes Up

Upon successful completion of this course, students will be able to:

  1. Obtain a broad perspective about the development of mathematics

    Contribution to Program Outcomes

    1. Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
    2. Being fluent in English to review the literature, present technical projects, and write journal papers.
    3. Exhibiting professional and ethical responsibility.

    Method of assessment

    1. Written exam
  2. Recognize civilizations that makes mathematical contributions

    Contribution to Program Outcomes

    1. Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
    2. Ability to work in interdisciplinary research teams effectively.

    Method of assessment

    1. Written exam
    2. Homework assignment
  3. Tell about Mathematics of modern times

    Contribution to Program Outcomes

    1. Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
    2. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.

    Method of assessment

    1. Written exam
    2. Homework assignment
   Contents Up
Week 1: On Multiculturalism and History of Mathematics.
On Beginnings:Ancient.
Week 2: Ancient Eastern Period:Sources and Selections.
Egyptian, Mesopotamian, Babylonian Mathematics.
Week 3: Indian, Chinese Mathematics.
Week 4: Economic and Political Changes as a result of Mediterranean Sea, East of the Weakening of Mathematics.
Ancient Greek Mathematics.
Week 5: Plato, Euclid, Archimedes, Apolloni period Examining.
Week 6: The East:After the Collapse of Greek Social Order.
Week 7: Persian Mathematics,Omer Khayyam, El-Kashi, El-Khwarizmi.
Week 8: Influence of Islam in Mathematics. Midterm exam
Week 9: Understanding the "Scientific Revolution".
Beginnings on West Europe.Effective of First Strong Trade Centers in Italy on Mathematics.Fibonacci.
Week 10: 17. Century. Copernican ,Tycho Brahe and Kepler in Astronomy.
Week 11: Descartes. Devoloping Differential and Integral Calculus.
Week 12: Leibnitz"The Principia and its Problems",Cavalieri,Wallis,
Week 13: 18. Century.Geometries and Space.First problem:Postulate. LeibnitzBernolli Brothers,Euler,Lagrange,Laplace.
Week 14: 19. Century. Gauss,Klein,Fourier,Balzano,Cauchy,Ahel,Weierstrass,Jacobi,
Riemann,Kronecker, 20. Century. Hilbert
Week 15*: -
Week 16*: Final Exam
Textbooks and materials: History of Mathematics Uta C. Merzbach and Carl B. Boyer
History of Mathematics D.E. Smith
Dünya matematikçileri Prof. Dr. Yavuz Aksoy
Recommended readings: Matematik Tarihi:Mezopotamyadan Günümüze, Yazar: Luke HODGKIN
Kısa Matematik Tarihi, Yazar:Dirk J. STRUIK
  * Between 15th and 16th weeks is there a free week for students to prepare for final exam.
Assessment Up
Method of assessment Week number Weight (%)
Mid-terms: 8 40
Other in-term studies: - 0
Project: - 0
Homework: 10-11-12-13-14 20
Quiz: - 0
Final exam: 16 40
  Total weight:
(%)
   Workload Up
Activity Duration (Hours per week) Total number of weeks Total hours in term
Courses (Face-to-face teaching): 3 14
Own studies outside class: 2 14
Practice, Recitation: 0 0
Homework: 2 5
Term project: 0 0
Term project presentation: 0 0
Quiz: 0 0
Own study for mid-term exam: 10 1
Mid-term: 1 1
Personal studies for final exam: 10 1
Final exam: 2 1
    Total workload:
    Total ECTS credits:
*
  * ECTS credit is calculated by dividing total workload by 25.
(1 ECTS = 25 work hours)
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