TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| MATHEMATICS PR. | |
| Code | MTS284 |
| Name | History of Mathematics |
| Term | 2018-2019 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 3 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | E Elective |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. GONCA AYIK |
| Course Instructor |
Prof. Dr. GONCA AYIK
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim of this course is to explain scientific thinking, philosophy of science, mathematical thinking and life story of some significant person of history of mathematics chronologically from ancient ages to 21st century to students.
Course Content
In this course scientific thinking method, life story of some significant person of history of mathematics in ancient ages, life story of some significant women mathematician, life story of some significant person of history of mathematics, short history of algebra, analysis and geometry are described.
Course Precondition
Resources
Matematiksel Düşünme’, Cemal Yıldırım, Remzi Kitapevi<br>‘Bilimsel Düşünme Yöntemi’, Cemal Yıldırım, İmge Kitapevi<br>‘Bilim Tarihi’, Cemal Yıldırım, Remzi Kitapevi<br>“Büyük Matematikçiler”, Ioan James, İş Bankası Yayınları 2013.
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Gain the consciousness of professional ethics and responsibility |
| LO02 | Recognize some famous mathematicians in ancient times. |
| LO03 | Recognises mathematical thinking. |
| LO04 | Recognises life story of some significant person of history of mathematics in ancient ages. |
| LO05 | Knows life story ofsome significant person of history of mathematics . |
| LO06 | Recognises some significant women mathematician. |
| LO07 | Recognizes important names in the history of geometry. |
| LO08 | Recognizes important names in the history of algebra. |
| LO09 | Recognizes important names in the history of analaysis. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Comprehend the ability to prove the mathematical knowledge gained in secondary education on the basis of theoretical basis. | 5 |
| PLO02 | - | Understands importance of basic consepts of Algebra, Analaysis and Topology. | 5 |
| PLO03 | - | Mathematical reasoning demonstrates the ability to develop and write mathematical proofs by gaining maturity. | 4 |
| PLO04 | - | Demonstrate the ability to express the basic theories of mathematics both correctly. | 4 |
| PLO05 | - | Understands the relationship between the different fields of mathematics and its relation to other disciplines. | 5 |
| PLO06 | - | Comprehends the ability to understand the relationships between the objects in the most understandable way while creating a model for any problem. | 3 |
| PLO07 | - | Comprehend and explain mathematical models such as formulas, graphs, tables and schema. | 3 |
| PLO08 | - | Demonstrate the ability to mathematically rearrange, analyze, and model the problems they encounter. | 5 |
| PLO09 | - | Comprehends at least one of the computer programming languages. | 0 |
| PLO10 | - | Demonstrate the ability to use scientific methods and appropriate technologies effectively in problem solving. | 0 |
| PLO11 | - | Understands sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians | 0 |
| PLO12 | - | In addition to their professional development, they demonstrate their ability to continuously improve themselves by identifying their educational needs in scientific, cultural, artistic and social areas in line with their interests and abilities. | 0 |
| PLO13 | - | Understands the programming techniques and shows the ability to do programming. | 0 |
| PLO14 | - | Demonstrates the ability to study mathematics both independently and as a group. | 0 |
| PLO15 | - | Demonstrate an awareness of the universal and social impacts and legal consequences of mathematical applications in the field of study. | |
| PLO16 | - | Demonstrate the ability to select, use and develop effectively for contemporary mathematical applications. | |
| PLO17 | - | It has ability of lifelong learning awareness, access to information, monitoring developments in science and technology and self-renewal ability. | |
| PLO18 | - | Gains the ability to use information technologies effectively for contemporary mathematical applications. | |
| PLO19 | - | Gains the ability to design, conduct experiments, field work, data collection, analysis, archiving, text solving and / or interpretation according to mathematics fields. | |
| PLO20 | - | Gains the consciousness of prefesional ethics and responsibility. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Scientific thinking | Review of the relevant pages from sources | |
| 2 | Philosophy of science | Review of the relevant pages from sources | |
| 3 | Mathematical thinking | Review of the relevant pages from sources | |
| 4 | Science in ancient civilizations | Review of the relevant pages from sources | |
| 5 | Renaissance and modern science; enlightenment and science | Review of the relevant pages from sources | |
| 6 | Famous mathematicians in ancient times | Review of the relevant pages from sources | |
| 7 | Famous mathematicians in ancient times | Review of the relevant pages from sources | |
| 8 | Mid-Term Exam | Review of the topics discussed in the lecture notes and sources | |
| 9 | Last 300 years lived famous mathematicians | Review of the relevant pages from sources | |
| 10 | Last 300 years lived famous mathematicians | Review of the relevant pages from sources | |
| 11 | Last 200 years lived famous mathematicians | Review of the relevant pages from sources | |
| 12 | Famous women mathematicians | Review of the relevant pages from sources | |
| 13 | Famous women mathematicians | Review of the relevant pages from sources | |
| 14 | History of geometry | Review of the relevant pages from sources | |
| 15 | History of algebra and analaysis. | Review of the relevant pages from sources | |
| 16 | Term Exams | Review of the topics discussed in the lecture notes and sources | |
| 17 | Term Exams | Review of the topics discussed in the lecture notes and sources |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 6 | 6 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 78 | ||
| Total Workload / 25 (h) | 3,12 | ||
| ECTS | 3 ECTS | ||