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
Mode of Delivery Online
Teaching Methods and Techniques of the Course Discussion
Q&A
Lecture / 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;
  • will be able to interpret the basis of mathematical thinking.
  • will be able to establish a connection between the development of mathematical thought and mathematics and their social and cultural dynamics.
  • will be able to evaluate the historical occurences within the framework of the development of mathematics as a discipline.
  • will be able to explain the relationship between the development of mathematical thought and the progress in science and technology throughout history.
  • will be able to discuss the history of mathematics in the perspective of causality.
  • will be able to express the knowledge and thoughts they have both orally and in written form.
Course Description The course focuses on the development of mathematical thought and mathematics throughout history.

 



Course Category

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.

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.

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.

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.

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.

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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