FACULTY OF ARTS AND SCIENCES
Department of Mathematics
MATH 121 | Course Introduction and Application Information
Course Name |
Mathematical Thought
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
MATH 121
|
Fall
|
3
|
0
|
3
|
6
|
Prerequisites |
None
|
|||||
Course Language |
English
|
|||||
Course Type |
Required
|
|||||
Course Level |
First Cycle
|
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Mode of Delivery | Online | |||||
Teaching Methods and Techniques of the Course | DiscussionQ&ALecture / Presentation | |||||
Course Coordinator | - | |||||
Course Lecturer(s) | ||||||
Assistant(s) |
Course Objectives | The basic purpose of this course is to illuminate the history of mathematical thought and mathematics with a special emphasis on socio-economic and cultural (religious and philosophical) dynamics lying behind in a comparative approach and to highlight the essential role of mathematics in the development of science and technology throughout the history of mankind. |
Learning Outcomes |
The students who succeeded in this course;
|
Course Description | The course focuses on the development of mathematical thought and mathematics throughout history. |
|
Core Courses |
X
|
Major Area Courses | ||
Supportive Courses | ||
Media and Management Skills Courses | ||
Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
Week | Subjects | Related Preparation |
1 | Introduction to History and the History of Mathematical Thought. | |
2 | Mathematical Thought: On the Concepts of Multiplicity and Pattern | Luke Heaton, ''A Brief History of Mathematical Thought''pp. 1-28; David M. Burton,''The History of Mathematics: An Introduction, New York,7th edition, 2011.'' pp-1-9; Robert E. Lerner,'' Western Civilizations: Their History and Their Culture,13th edition,'' pp. 1-27 |
3 | The Earliest Social Systems I: Paleolitihic Age: The Sense of Number and Primitive Counting In Hunting- Gathering Groups | Robert E. Lerner,''Western Civilizations: Their History and Their Culture'',13th edition, pp. 14-23; Carl B. Boyer, ''A History of Mathematics'', 2nd edition,1991pp. 1-9 |
4 | The Earliest Social Systems II:Neolitihic Revolution: The Number Language and the Origin of Geometry in the Settled Societies | R. Lerner, "Western Civilizations: Their History and Their Culture" pp. 32-52; Luke Hodgkin, ''A History of Mathematics: From Mesopotamia to Modernity'',pp.14-30 |
5 | Mathematical Thought and Mathematics in Prehistoric Ages | R. Lerner, "Western Civilizations: Their History and Their Culture" pp. 56-73; Carl B. Boyer,''A History of Mathematics'', 2nd edition,1991 pp. 9-23; David M. Burton, pp. 33-57 |
6 | Midterm I | |
7 | Urbanization and the Applied Mathematics in the First Urban Societies: Sumer and Babylonia | R. Lerner, "Western Civilizations: Their History and Their Culture"pp. 119-138; W.W. Rouse Ball, "Mathematical Recreations and Essays"10-25 |
8 | Ancient Egypt: Religion, Astronomy and Mathematics | R. Lerner, "Western Civilizations: Their History and Their Culture" pp. 113-139; W.W. Rouse Ball, "Mathematical Recreations and Essays"pp. 27-40 |
9 | Ancient Greece I: Democratization and Its Cultural Impacts | R. Lerner, "Western Civilizations: Their History and Their Culture" pp. 157-168; W.W. Rouse Ball, "Mathematical Recreations and Essays" pp.41-96 |
10 | Ancient Greece II: Mythology, Religion and Polythesim | R. Lerner, "Western Civilizations: Their History and Their Culture" pp. 355-366,W.W. Rouse Ball, "Mathematical Recreations and Essays" pp. 109-117 |
11 | Midterm II | |
12 | The First Philosophical Movements in the Ancient West and Mathematical Thought I: Rationalism (From the Milesian School to Aristotales) | R. Lerner, "Western Civilizations: Their History and Their Culture" pp. 425-457,W.W. Rouse Ball, "Mathematical Recreations and Essays" pp. 165-214 |
13 | The First Philosophical Movements in the Ancient West and Mathematical Thought II: Mathematics (The Schools of Athens and Cyzikos ) | R. Lerner, "Western Civilizations: Their History and Their Culture" pp. 645-648; W.W. Rouse Ball, "Mathematical Recreations and Essays" 221-289 |
14 | Hellenistic Age and Cosmopolitanism: Alexandrian School and Its Teachings: Euclid, Archimedes and Apollonius, Mathematical Thought in Ancient Rome | R. Lerner, "Western Civilizations: Their History and Their Culture" pp. 876-892,1092-1097; W.W. Rouse Ball, "Mathematical Recreations and Essays" pp. 291-346,365-392; David M. Burton, "The History of Mathematics: An Introduction" pp. 657-711,1092-1097 |
15 | Semester Review | |
16 | Final Exam |
Course Notes/Textbooks | Luke Heaton, ''A Brief History of Mathematical Thought'', 2017.ISBN-13:978-0190621766 David M. Burton, ''The History of Mathematics: An Introduction'', New York,7th edition, 2011. ISBN -13:978-0073383156 W. W. Rouse Ball,"Mathematical Recreations and Essays'' 2010. ISBN-13: 978-0486253572 Robert Lerner, et al., ''Western Civilizations: Their History and Their Culture'',13th edition, 1993.ISBN-13:978-0393972009 Luke Hodgkin, ''A History of Mathematics: From Mesopotamia to Modernity'', New York, 2005,ISBN-13:978-0198529378 Carl B. Boyer, ''A History of Mathematics'', 2nd edition,1991.ISBN-13:978-0471543978 |
Suggested Readings/Materials |
EVALUATION SYSTEM
Semester Activities | Number | Weigthing |
Participation | ||
Laboratory / Application | ||
Field Work | ||
Quizzes / Studio Critiques | ||
Portfolio | ||
Homework / Assignments | ||
Presentation / Jury | ||
Project | ||
Seminar / Workshop | ||
Oral Exams | ||
Midterm |
2
|
60
|
Final Exam |
1
|
40
|
Total |
Weighting of Semester Activities on the Final Grade |
2
|
60
|
Weighting of End-of-Semester Activities on the Final Grade |
1
|
40
|
Total |
ECTS / WORKLOAD TABLE
Semester Activities | Number | Duration (Hours) | Workload |
---|---|---|---|
Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
3
|
48
|
Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
0
|
|
Study Hours Out of Class |
14
|
3
|
42
|
Field Work |
0
|
||
Quizzes / Studio Critiques |
0
|
||
Portfolio |
0
|
||
Homework / Assignments |
0
|
||
Presentation / Jury |
0
|
||
Project |
0
|
||
Seminar / Workshop |
0
|
||
Oral Exam |
0
|
||
Midterms |
2
|
28
|
56
|
Final Exam |
1
|
34
|
34
|
Total |
180
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
1
|
2
|
3
|
4
|
5
|
||
1 | To be able to have a grasp of basic mathematics, applied mathematics or theories and applications of statistics. |
X | ||||
2 | To be able to use advanced theoretical and applied knowledge, interpret and evaluate data, define and analyze problems, develop solutions based on research and proofs by using acquired advanced knowledge and skills within the fields of mathematics or statistics. |
X | ||||
3 | To be able to apply mathematics or statistics in real life phenomena with interdisciplinary approach and discover their potentials. |
X | ||||
4 | To be able to evaluate the knowledge and skills acquired at an advanced level in the field with a critical approach and develop positive attitude towards lifelong learning. |
X | ||||
5 | To be able to share the ideas and solution proposals to problems on issues in the field with professionals, non-professionals. |
|||||
6 | To be able to take responsibility both as a team member or individual in order to solve unexpected complex problems faced within the implementations in the field, planning and managing activities towards the development of subordinates in the framework of a project. |
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7 | To be able to use informatics and communication technologies with at least a minimum level of European Computer Driving License Advanced Level software knowledge. |
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8 | To be able to act in accordance with social, scientific, cultural and ethical values on the stages of gathering, implementation and release of the results of data related to the field. |
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9 | To be able to possess sufficient consciousness about the issues of universality of social rights, social justice, quality, cultural values and also environmental protection, worker's health and security. |
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10 | To be able to connect concrete events and transfer solutions, collect data, analyze and interpret results using scientific methods and having a way of abstract thinking. |
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11 | To be able to collect data in the areas of Mathematics or Statistics and communicate with colleagues in a foreign language. |
|||||
12 | To be able to speak a second foreign language at a medium level of fluency efficiently. |
|||||
13 | To be able to relate the knowledge accumulated throughout the human history to their field of expertise. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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