Bayburt University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
AE-MT105	History of Mathematics	Compulsory	1	1	3

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. explain mathematics in ancient Egypt and Mesopotamia 1.1. explain ancient Egyptian number system and geometry 1.2. explain sexagesimal number system 1.3. explain algebra and geometry in Mesopotamia 2. explain mathematical studies in ancient Greek 2.1. explain that the concept of proof first developed in ancient Greek 2.2. prove Pythagorean theorem in different ways 2.3. argue Paradoxes of Zenon 2.4. explain the importance of Alexandrian school and Euclides' Elements in mathematics history 2.5. evaluate the volume of sphere by Archimedian method 3. explain mathematical studies in Islamic Civilization period 3.1. solve quadric equations by the methods of Khwarezmi and Abd al-Hamid ibn-Turk 3.2. explain development of trigonometry in Islamic period 3.3. explain the importance of the mathematical studies during the Islamic period in the mathematics history.

Mode of Delivery

Normal Education

Prerequisites and co-requisities

Recommended Optional Programme Components

Course Contents

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
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

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

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
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)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
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
TOTAL WORKLOAD (hours)			90

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10
LO1

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High