Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | AE-MT105B | | Compulsory | 1 | 1 | 3 |
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Level of Course Unit |
First Cycle |
Objectives of the Course |
The aim of this course is to provide students with the knowledge of history of mathematics at undergraduate level and to gain the skills to make them realize the importance of mathematics history for school mathematics. |
Name of Lecturer(s) |
Dr. Öğr. Üyesi Mesut Öztürk |
Learning Outcomes |
1 | 1. explain mathematics in ancient Egypt and Mesopotamia | 2 | Explains the ancient Egyptian number system and Egyptian geometry. | 3 | Explains the sexagesimal number system. | 4 | Explains algebra and geometry in Mesopotamia. | 5 | Will be able to explain the mathematical studies carried out in ancient Greece. | 6 | Explains that the concept of proof in mathematics began in ancient Greece. | 7 | Proves the Pythagorean theorem in different ways. | 8 | Discusses Zeno's paradoxes. | 9 | Explains the importance of the Alexandrian school and Euclid's Elements in the history of mathematics. | 10 | Calculates the volume of the sphere using Archimedes' method. | 11 | Will be able to explain the mathematical studies during the Islamic civilization period. | 12 | Solve quadratic equations with the method of Abdülhamit İbni Türk and Harezmi. | 13 | Explains the development of trigonometry during the Islamic civilization. | 14 | Explains the importance of mathematical studies in the Islamic civilization period in terms of the history of mathematics. |
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Mode of Delivery |
Normal Education |
Prerequisites and co-requisities |
- |
Recommended Optional Programme Components |
- |
Course Contents |
The aim of this course is to provide students with the knowledge of history of mathematics at undergraduate level and to gain the skills to make them realize the importance of mathematics history for school mathematics.
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Weekly Detailed Course Contents |
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1 | Computation techniques and number systems, numbers and art of calculation in Ancient Egypt | | | 2 | Ancient Egyptian geometry | | | 3 | Sumerian computation techniques, sexagesimal system | | | 4 | Babylonian mathematics, Babylonian algebra and geometry | | | 5 | Mathematics in Hellenistic age, Thales | | | 6 | Pythagoras of Samos, Zeno and Democritus of Abdera | | | 7 | Archytas, Platon, Eudoxus, Aristo
| | | 8 | Euclid and The Elements
| | | 9 | Archimedes Of Syracuse | | | 10 | Eratosthenes and Apollonius of Perga, causes of the collapse of the ancient Greek civilization | | | 11 | Heron, Batlamyus, Diyafont, Pappus, Hypatia | | | 12 | Mathematics in İslamic Period, Al-Khowarizmi | | | 13 | Abd al-Hamid ibn-Turk, Thabit ibn-Qurra | | | 14 | Omar Khayyam, Nasir al-Din at Tusi | | | 15 | Final Exam | | |
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Recommended or Required Reading |
Baki, A. (2014). Matematik tarihi ve felsefesi. Ankara: Pegem Akademi.
• Boll, M. (1991). Matematik tarihi. İletişim Yayınları.
• Cajori, F. (2014). Matematik tarihi (D. İlalan, Çev.). Ankara: ODTÜ yayıncılık
• Göker, L. (1997). Matematik tarihi ve Türk İslam matematikçilerinin yeri. İstanbul: Milli Eğitim Bakanlığı
• Street, T. (2016). İslam mantık tarihi (H. Kuşlu, Çev.). İstanbul: Klasik
• Kuşlu, H. (2017). Nasîruddin Tûsî’de önermeler mantığı. İstanbul: Klasik
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Planned Learning Activities and Teaching Methods |
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Assessment Methods and Criteria | |
Midterm Examination | 1 | 100 | SUM | 100 | |
Final Examination | 1 | 100 | SUM | 100 | Term (or Year) Learning Activities | 40 | End Of Term (or Year) Learning Activities | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | - |
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Workload Calculation |
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Midterm Examination | 1 | 1 | 1 |
Final Examination | 1 | 2 | 2 |
Discussion | 1 | 3 | 3 |
Question-Answer | 2 | 5 | 10 |
Team/Group Work | 2 | 5 | 10 |
Brain Storming | 1 | 2 | 2 |
Report Preparation | 2 | 3 | 6 |
Project Design/Management | 2 | 5 | 10 |
Role Play/Dramatization | 2 | 5 | 10 |
Self Study | 2 | 8 | 16 |
Individual Study for Homework Problems | 2 | 10 | 20 |
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Contribution of Learning Outcomes to Programme Outcomes |
LO1 | | | | | | | | | | | LO2 | | | | | | | | | | | LO3 | | | | | | | | | | | LO4 | | | | | | | | | | | LO5 | | | | | | | | | | | LO6 | | | | | | | | | | | LO7 | | | | | | | | | | | LO8 | | | | | | | | | | | LO9 | | | | | | | | | | | LO10 | | | | | | | | | | | LO11 | | | | | | | | | | | LO12 | | | | | | | | | | | LO13 | | | | | | | | | | | LO14 | | | | | | | | | | |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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