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Syllabus ( MATH 452 )


   Basic information
Course title: History Of Mathematics
Course code: MATH 452
Lecturer: Assist. Prof. Keremcan DOĞAN
ECTS credits: 4
GTU credits: 3 (3+0+0)
Year, Semester: 4, Spring
Level of course: First Cycle (Undergraduate)
Type of course: Elective
Language of instruction: English
Mode of delivery: Face to face
Pre- and co-requisites: None
Professional practice: No
Purpose of the course: To provide information 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 and Chinese Mathematics.
Week 4: The weakening of Eastern Mathematics as a result of major economic and political changes in the Mediterranean region and the Era of Ancient Greece.
Week 5: Examining the era of Plato, Euclid, Archimedes, and Apolloni.
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: Beginnings in Western Europe. The impact of the first powerful trade centers emerging in Italy on mathematics. Fibonacci.
Week 10: 17. Century. Copernicus, Tycho Brahe, Kepler, and Galileo in Astronomy.
Week 11: Descartes, who introduced classical geometry to the field of algebra. Developing Differential and Integral Calculus.
Week 12: Leibnitz, Cavalieri, Wallis, Fermat, Pascal, Newton.
Week 13: 18th Century.
Leibnitz, Bernolli Brothers, Euler, Lagrange, Laplace.
Week 14: 19th Century.
Gauss, Klein, Fourier, Bolzano, Cauchy, Abel, Weierstrass, Jacobi, Dirichlet, Cantor, Riemann, Kronecker.
20th Century. Hilbert's problems.
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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