Iğdır 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
170300401205	MATHEMATICS HISTORY II	Compulsory	1	2	3

Level of Course Unit

First Cycle

Objectives of the Course

To teach the critical thinking of scientists about past, present and future

Name of Lecturer(s)

Arş. Gör. Dr. Ezgi KAYA

Learning Outcomes

1	To be able to focus on problems with past interpretations and to be able to connect with past and present
2	To be able to give examples of important applications of mathematics in the past, present, trade, science and general life
3	To give information about the development of probability theory
4	To be able to give information about the development of number theory
5	To be able to give information and examples about new geometry models

Mode of Delivery

Daytime Class

Prerequisites and co-requisities

Recommended Optional Programme Components

Course Contents

Mathematicians in the Near East: Harezmi, Abu Kamil, Sabit bin Kura, Ömer Hayam, El Tusi and El Karashi, Information Transfer from Arabic to the West, The Story of Quintic Equations: Ruffini, Abel, and Galois, The Birth of Modern Mathematics, Development of Probability Theory: Pascal, Bernoulli and Laplace, The Revival of the Theory of Numbers: Fermat, Euler, and Gauss, Marin Mersenne and the Research of the Perfect Numbers, Fermat's Famous Last Theorem, The Prince of Mathematicians: Carl Friedrich Gauss, Nineteenth Century Contribution to Lobachevsky Hilbert, Geometrinin Explorers of the NonEuclidean, New Geometry, The New Geometry, The Fermat, Euler, and Gauss, Marin Mersenne and the Survey of the Perfect Numbers, Fermat's Famous Last Theorem, Prince of Mathematicians Models: Riemann, Beltrami, and Klein, Twentieth Century Transition: Cantor and Kronecker, Extensions and Generalizations: Hardy, Hausdorff, and Noether.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Near East Mathematicians: Khwarezmi, Abu Kamil, Sabit bin Kura, Omar Hayam, El Tusi and El Karachi
2	Data Transfer from Arabic to West
3	The story of quintic equations: Ruffini, Abel, and Galois
4	The birth of modern mathematics
5	Development of Probability Theory: Pascal, Bernoulli, and Laplace
6	Revival of Number Theory: Fermat, Euler, and Gauss
7	Marin Mersenne and the investigation of excellent numbers, Fermat's famous last theorem
8	Mid-Term Exam
9	Prince of Mathematicians: Carl Friedrich Gauss
10	Contributions from the Nineteenth Century: from Lobachevsky to Hilbert
11	Explorers of Non-Euclidean Geometry
12	New Geometry Models: Riemann, Beltrami, and Klein
13	Transition to the 20th Century: Cantor and Kronecker
14	Expansions and Generalizations: Hardy, Hausdorff, and Noether
15	Final Exam

Recommended or Required Reading

D. J. Struik, Kısa Matematik Tarihi ,Doruk, 2002 R. Mankiewicz, Matematiğin Tarihi Güncel, 2002 D. M. Burton, The History of Mathematics: An Introduction, McGraw-Hill Science, 2005 L. Hodgkin, A History of Mathematics: From Mesopotamia to Modernity, Oxford Univ. Press, 2005 M. Boll, Matematik Tarihi, İletişim,2003 Matematik Tarihi, Hüseyin Etikan

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	2	2
Final Examination	1	2	2
Attending Lectures	14	3	42
Self Study	10	2	20
Individual Study for Mid term Examination	1	10	10
Individual Study for Final Examination	1	15	15
TOTAL WORKLOAD (hours)			91

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	4	4	4	4	4	4	4	4	4	4
LO2	4	4	4	4	4	4	4	4	4	4
LO3	4	4	4	4	4	4	4	4	4	4
LO4	4	4	4	4	4	4	4	4	4	4
LO5	4	4	4	4	4	4	4	4	4	4

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