FACULTY OF ARTS AND SCIENCES
Department of Mathematics
SOCIAL MEDIA
MATH 122 | Course Introduction and Application Information
| Course Name |
Mathematical Thought II
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
MATH 122
|
Fall/Spring
|
3
|
0
|
3
|
6
|
| Prerequisites |
None
|
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| Course Language |
English
|
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| Course Type |
Elective
|
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| 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 purpose of this course is to shed light on the history of mathematical thought and mathematics, developing as a discipline, with a special emphasis on socio-economic and cultural (religious and philosophical) dynamics lying behind it with a comparative approach and to highlight the essential role of mathematics in the development of science and technology from the end of antiquity to the present. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | The course focuses on the development of mathematical thought and the history of mathematics from the end of Antiquity to the present. |
|
|
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 | The Late Antiquity and Mathematical Thought: Rome and Its Cultural Inheritence | Robert Lerner, Standish Meacham, Edward McNall Burns, “Western Civilizations: Their History and Their Culture”,13th edn (Norton, 1993), 355-366; Walter William Rouse, Harold Scott Macdonald Coxeter, “Mathematical Recreations and Assays” 13th edn (Dover, 2010), 109-117. |
| 3 | Middle Age: Religion, Superstition and Culture in Europe | Robert Lerner, Standish Meacham, Edward McNall Burns, “Western Civilizations: Their History and Their Culture”,13th edn (Norton, 1993), 355-366; Walter William Rouse, Harold Scott Macdonald Coxeter, “Mathematical Recreations and Assays” 13th edn (Dover, 2010),109-117. |
| 4 | Medieval Europe: The Rise of Learning in Western Europe: From Monastic Schools to the Early Universities | Robert Lerner, Standish Meacham, Edward McNall Burns, “Western Civilizations: Their History and Their Culture”,13th edn (Norton, 1993), 355-366; Walter William Rouse, Harold Scott Macdonald Coxeter, “Mathematical Recreations and Assays” 13th edn (Dover, 2010), 109-117. |
| 5 | Midterm Exam I | |
| 6 | Renaissance: Rebirth in Europe and Realism | Robert Lerner, Standish Meacham, Edward McNall Burns, “Western Civilizations: Their History and Their Culture”,13th edn (Norton, 1993), 425-457; Walter William Rouse, Harold Scott Macdonald Coxeter, “Mathematical Recreations and Assays” 13th edn (Dover, 2010), 165-214. |
| 7 | The Dynamics of Science in Europe: From Vinci to Kepler | Robert Lerner, Standish Meacham, Edward McNall Burns, “Western Civilizations: Their History and Their Culture”,13th edn (Norton, 1993), 645-648; Walter William Rouse, Harold Scott Macdonald Coxeter, “Mathematical Recreations and Assays” 13th edn (Dover, 2010), 221-289. |
| 8 | The Mechanical World: Descartes and Newton | Robert Lerner, Standish Meacham, Edward McNall Burns, “Western Civilizations: Their History and Their Culture”,13th edn (Norton, 1993), 645-648; Walter William Rouse, Harold Scott Macdonald Coxeter, “Mathematical Recreations and Assays” 13th edn (Dover, 2010), 221-289. |
| 9 | The Enlightenment: The World of “Philosophes” | Robert Lerner, Standish Meacham, Edward McNall Burns, “Western Civilizations: Their History and Their Culture”,13th edn (Norton, 1993), 157-168, Walter William Rouse, Harold Scott Macdonald Coxeter, “Mathematical Recreations and Assays” 13th edn (Dover, 2010), 41-96. |
| 10 | Mathematical Thought and Scientific Revolution: From Leibniz to Laplace | Robert Lerner, Standish Meacham, Edward McNall Burns, “Western Civilizations: Their History and Their Culture”,13th edn (Norton, 1993), 648-663, 749-851; Walter William Rouse, Harold Scott Macdonald Coxeter, “Mathematical Recreations and Assays” 13th edn (Dover, 2010), 291-346, 365-392. |
| 11 | Midterm Exam II | |
| 12 | The Nineteenth Century Contributions: New World Views and New Technologies | Robert Lerner, Standish Meacham, Edward McNall Burns, “Western Civilizations: Their History and Their Culture”,13th edn (Norton, 1993), 876-892,1092-1097. |
| 13 | Transition to the 20th century: The Challenge of Science and Philosophy | David M. Burton, “The History of Mathematics: An Introduction”, 7th edition (McGraw Hill, 2010), 657-711,1092-1097. |
| 14 | The 20th century: The Achievement and Limitations of Science and Technology and Homework Presentations | |
| 15 | Review of the Semester | |
| 16 | Final Exam |
| Course Notes/Textbooks | David M. Burton, “The History of Mathematics: An Introduction”, 7th edition (McGraw Hill, 2010). ISBN -13:978-0073383156 Walter William Rouse, Harold Scott Macdonald Coxeter, “Mathematical Recreations and Assays” 13th edition (Dover, 2010). ISBN-13: 978-0486253572 Robert Lerner, Standish Meacham, Edward McNall Burns, “Western Civilizations: Their History and Their Culture”,13th edition (Norton, 1993). ISBN-13:978-0393972009 |
| Suggested Readings/Materials | Luke Heaton, “A Brief History of Mathematical Thought”, 1st edition (Oxford University Press, 2017). ISBN-13:978-0190621766 Luke Hodgkin, “A History of Mathematics: From Mesopotamia to Modernity”, 1st edition (Oxford University Press, 2005). ISBN-13:978-0198529378 |
EVALUATION SYSTEM
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques | ||
| Portfolio | ||
| Homework / Assignments |
1
|
10
|
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm |
2
|
50
|
| Final Exam |
1
|
40
|
| Total |
| Weighting of Semester Activities on the Final Grade |
3
|
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 |
1
|
14
|
14
|
| Presentation / Jury |
0
|
||
| Project |
0
|
||
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
2
|
23
|
46
|
| Final Exam |
1
|
30
|
30
|
| 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. |
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| 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. |
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| 12 | To be able to speak a second foreign language at a medium level of fluency efficiently. |
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| 13 | To be able to relate the knowledge accumulated throughout the human history to their field of expertise. |
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*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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