ECTS - Hıstory of Mathematics I
Hıstory of Mathematics I (MATH318) Course Detail
| Course Name | Course Code | Season | Lecture Hours | Application Hours | Lab Hours | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| Hıstory of Mathematics I | MATH318 | Area Elective | 3 | 0 | 0 | 3 | 6 |
| Pre-requisite Course(s) |
|---|
| N/A |
| Course Language | English |
|---|---|
| Course Type | Elective Courses |
| Course Level | Bachelor’s Degree (First Cycle) |
| Mode of Delivery | Face To Face |
| Learning and Teaching Strategies | Lecture, Demonstration, Discussion, Question and Answer. |
| Course Lecturer(s) |
|
| Course Objectives | To provide an introduction to history of mathematics. To recover the evaluation of theory of pure and applied mathematics in ancient world to the 16 century. Moreover to encourage the students to investigate how mathematics is devoloped. |
| Course Learning Outcomes |
The students who succeeded in this course;
|
| Course Content | Prehistoric mathematics, Ancient Near East mathematics (Mesopotamia-Egypt, 3rd millenium BC?500 BC), Greek and Hellenistic mathematics (c. 600 BC?300 AD), Chinese mathematics (c. 2nd millenium BC?1300 AD), Indian mathematics (c. 800 BC?1600 AD), Islamic mathematics (c. 800?1500). |
Weekly Subjects and Releated Preparation Studies
| Week | Subjects | Preparation |
|---|---|---|
| 1 | Prehistoric mathematics | Search the related subjects on web. |
| 2 | Ancient Near East ( Mesopotamia 3rd millenium BC–500 BC ) | Search the related subjects on web. |
| 3 | Ancient Egpyt (3rd millenium BC–500 BC ) | Search the related subjects on web. |
| 4 | Greek and Hellenistic mathematics (c. 600 BC–100 AD) | Search the related subjects on web. |
| 5 | Greek and Hellenistic mathematics (100 AD-300 AD) | Search the related subjects on web. |
| 6 | Chinese mathematics (c. 2nd millenium BC–1300 AD | Search the related subjects on web. |
| 7 | Midterm Exam | |
| 8 | Indian mathematics (c. 800 BC–1600 AD) | Search the related subjects on web. |
| 9 | Islamic mathematics (c. 800–1500) Introduction. | Search the related subjects on web. |
| 10 | al-Khwarizmi, Al-Jawhari, al-Kindi, Hunayn, Banu Musa Ahmad, Banu Musa al-Hasan, Banu Musa Muhammed | Search the related subjects on web. |
| 11 | Al-Mahani, Thabit, Ahmed, Abu Kamil, al-Battani, Sinan, Al-Nayrizi, Al-Khazin | Search the related subjects on web. |
| 12 | Ibrahim, al-Uqlidisi, Abu'l-Wafa, al-Quhi, Al-Khujandi, al-Sijzi, Yunus | Search the related subjects on web. |
| 13 | Al-Karaji, al-Haitam, Mansur, al-Biruni, Avicenna, al-Baghdadi, Al-Jayyani, Al-Nasawi | Search the related subjects on web. |
| 14 | Khayyam, Aflah, al-Samawal, al-Tusi, Sharaf, al-Tusi, Nasir, al-Maghribi, al-Samarqandi, al-Banna | Search the related subjects on web. |
| 15 | al-Farisi, al-Khalili, Qadi Zada, al-Kashi, Ulugh Beg, al-Umawi, al-Qalasadi | Search the related subjects on web. |
| 16 | Final Exam |
Sources
| Course Book | 1. Carl B. Boyer, A History of Mathematics, New York: John Wiley, second edition, 1989. ISBN 0-471-09763-2. |
|---|---|
| Other Sources | 2. David M. Burton, The History of Mathematics: An Introduction, Boston: Allyn and Bacon, third edition, 1985, ix + 678pp. ISBN 0-697-16089-0. |
Evaluation System
| Requirements | Number | Percentage of Grade |
|---|---|---|
| Attendance/Participation | - | - |
| Laboratory | - | - |
| Application | - | - |
| Field Work | - | - |
| Special Course Internship | - | - |
| Quizzes/Studio Critics | - | - |
| Homework Assignments | - | - |
| Presentation | - | - |
| Project | - | - |
| Report | - | - |
| Seminar | - | - |
| Midterms Exams/Midterms Jury | 2 | 60 |
| Final Exam/Final Jury | 1 | 40 |
| Toplam | 3 | 100 |
| Percentage of Semester Work | 60 |
|---|---|
| Percentage of Final Work | 40 |
| Total | 100 |
Course Category
| Core Courses | X |
|---|---|
| Major Area Courses | |
| Supportive Courses | |
| Media and Managment Skills Courses | |
| Transferable Skill Courses |
The Relation Between Course Learning Competencies and Program Qualifications
| # | Program Qualifications / Competencies | Level of Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | Adequate knowledge in mathematics, science and subjects specific to the aerospace engineering discipline; the ability to apply theoretical and practical knowledge of these areas to complex engineering problems. | |||||
| 2 | The ability to identify, define, formulate and solve complex engineering problems; selecting and applying proper analysis and modeling techniques for this purpose. | |||||
| 3 | The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. | |||||
| 4 | The ability to develop, select and utilize modern techniques and tools essential for the analysis and determination of complex problems in aerospace engineering applications; the ability to utilize information technologies effectively. | |||||
| 5 | The ability to design experiments and their setups, to make experiments, gather data, analyze and interpret results for the investigation of complex engineering problems or research topics specific to the aerospace engineering discipline. | |||||
| 6 | The ability to work effectively in inter/inner disciplinary teams; ability to work individually. | |||||
| 7 | Effective oral and written communication skills in Turkish; the knowledge of at least one foreign language; the ability to write effective reports and comprehend written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | |||||
| 8 | Recognition of the need for lifelong learning; the ability to access information and follow recent developments in science and technology with continuous self-development | |||||
| 9 | The ability to behave according to ethical principles, awareness of professional and ethical responsibility; knowledge of the standards utilized in aerospace engineering applications. | |||||
| 10 | Knowledge on business practices such as project management, risk management and change management; awareness about entrepreneurship, innovation; knowledge on sustainable development. | |||||
| 11 | Knowledge on the effects of aerospace engineering applications on the universal and social dimensions of health, environment and safety; awareness of the legal consequences of engineering solutions. | |||||
| 12 | Knowledge on aerodynamics, materials used in aerospace engineering, structures, propulsion, flight mechanics, stability and control, and an ability to apply these on aerospace engineering problems. | |||||
| 13 | Knowledge on orbit mechanics, position determination, telecommunication, space structures and rocket propulsion. | |||||
ECTS/Workload Table
| Activities | Number | Duration (Hours) | Total Workload |
|---|---|---|---|
| Course Hours (Including Exam Week: 16 x Total Hours) | |||
| Laboratory | |||
| Application | |||
| Special Course Internship | |||
| Field Work | |||
| Study Hours Out of Class | |||
| Presentation/Seminar Prepration | |||
| Project | |||
| Report | |||
| Homework Assignments | |||
| Quizzes/Studio Critics | |||
| Prepration of Midterm Exams/Midterm Jury | |||
| Prepration of Final Exams/Final Jury | |||
| Total Workload | 0 | ||