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Week
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Topics
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Study Metarials
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1
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Research methods in history of mathematics
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R1 - Section 1
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2
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Mathematics in Sumer and Babylon
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R1 - Section 2
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3
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Mathematics in Ancient Egypt
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R1 - Section 3
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4
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Eastern mathematics
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R1 - Section 4
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5
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Greek mathematics
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R1 - Section 5
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6
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Turkish and eastern mathematicians, islamic world mathematicians
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R1 - Section 6
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7
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Historical development of derivative and integral concepts and differential equations
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R1 - Section 7
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8
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Historical development of linear algebra, Fibonacci numbers, the renaissance of mathematics: the rebirth of European mathematics
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R1 - Section 8
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9
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Solutions and results of cubic equations
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R1 - Section 9
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10
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Development of probability theory, the revival of number theory: Fermat, Euler and Gauss
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R1 - Section 10
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11
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The father of modern analysis: Weierstrass, the paradoxes of set theory,
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R1 - Section 11
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12
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The representation of complex numbers, counting the infinite, countable and uncountable sets
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R1 - Section 12
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13
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Historical development of topology, women in modern mathematics
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R1 - Section 13
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14
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Atatürk and mathematics
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R2 - Section 1
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Prerequisites
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-
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Language of Instruction
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English
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Responsible
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Dr. Emel Bolat Yeşilova
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Instructors
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-
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Assistants
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-
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Resources
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R1. Merzbach, U. C., & Boyer, C. B. (2011). A history of mathematics (3rd ed.). Wiley. R2. Mustafa Kemal ATATÜRK (2006). Geometri, Örgün Yayınları.
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Supplementary Book
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SR1. Katz, Victor J. (2008).,A History of Mathematics (3rd Ed.), Pearson. SR2. Gulberg, Jan (1997). Mathematics: From the Birth of Numbers. W.W. Norton & Company
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Goals
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To teach the development of mathematics from Egyptians to nowadays, to teach the mathematicians who had important roles in the history of mathematics, to provide an adequate explanation of how mathematics came to occupy its position as a primary cultured force in civilization.
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Content
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Research methods in History of Mathematics. Babilonian and Sumer Mathematics. Ancient
Greek geometry, arithmetic and algebra. Mathematics in Roman times. Mathematics in Chinese,
Japan and Maya civilizations. Indian mathematics. Mathematics on Islamic word and its effects
on Mediaeval European Mathematics. Mediaeval European Mathematics, Atatürk and mathematics.
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Program Learning Outcomes |
Level of Contribution |
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1
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Having advanced theoretical and applied knowledge in the basic areas of mathematics
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-
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2
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Ability of abstract thinking
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-
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3
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To be able to use the acquired mathematical knowledge in the process of defining, analyzing and separating the problem encountered into solution stages.
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-
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4
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Associating mathematical achievements with different disciplines and applying them in real life
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4
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5
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Ability to work independently in a problem or project that requires knowledge of mathematics
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-
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6
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Ability to work harmoniously and effectively in national or international teams and take responsibility
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4
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7
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Having the skills to critically evaluate and advance the knowledge gained from different areas of mathematics
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-
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8
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To be able to determine what kind of knowledge learning the problem faced and to direct this knowledge learning process.
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-
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9
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To adopt the necessity of learning constantly by observing the improvement of scientific accumulation over time
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-
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10
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Ability to verbally and in writing convey thoughts on mathematical issues, and solution proposals to problems, to experts or non-experts.
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-
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11
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Being able to produce projects and organize events with social responsibility awareness
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-
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12
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Being able to follow publications in the field of mathematics and exchange information with colleagues by using a foreign language at least at the European Language Portfolio B1 General Level
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-
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13
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Ability to use computer software (at least at the Advanced Level of European Computer Use License), information and communication technologies for solving mathematical problems, transferring ideas and results
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-
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14
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Being conscious of acting in accordance with social, scientific, cultural and ethical values
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4
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