ECTS - History of Mathematics II
History of Mathematics II (MATH419) Course Detail
| Course Name | Course Code | Season | Lecture Hours | Application Hours | Lab Hours | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| History of Mathematics II | MATH419 | Elective Courses | 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 | The aim of the course is providing a familiarity to the students what is the level of mathematics in medieval Europe and Mathematics of the Renaissance and how the modern mathematics born. |
| Course Learning Outcomes |
The students who succeeded in this course;
|
| Course Content | Early Middle Ages European mathematics (c. 500?1100), mathematics of the Renaissance: rebirth of mathematics in Europe (1100?1400), early modern European mathematics (c. 1400?1600): solution of the cubic equation and consequences, invention of logarithms, time of Fermat and Descartes, development of the limit concept, Newton and Leibniz, the age of |
Weekly Subjects and Releated Preparation Studies
| Week | Subjects | Preparation |
|---|---|---|
| 1 | Early Middle Ages European mathematics (c. 500–1100) | Search the related subjects on web. |
| 2 | Mathematics of the Renaissance: Rebirth of mathematics in Europe (1100–1400), | Search the related subjects on web. |
| 3 | Early modern European mathematics (c. 1400–1600): Solution of the cubic equation and consequences . | Search the related subjects on web |
| 4 | Invention of logarithms | Search the related subjects on web. |
| 5 | Time of Fermat and Descartes | Search the related subjects on web. |
| 6 | Development of the limit concept: Newton | Search the related subjects on web. |
| 7 | Development of the limit concept: Leibniz. | Search the related subjects on web. |
| 8 | Midterm Exam | |
| 9 | The age of Euler. | Search the related subjects on web. |
| 10 | Contributions of Gauss | Search the related subjects on web. |
| 11 | Contributions of Cauchy | Search the related subjects on web. |
| 12 | Non-Euclidean geometries. | Search the related subjects on web |
| 13 | The arithmetization of analysis. | Search the related subjects on web |
| 14 | Midterm Exam | |
| 15 | The rise of abstract algebra. | Search the related subjects on web |
| 16 | Aspects of the twentieth century | Search the related subjects on web. |
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 | |
|---|---|
| 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 | Acquires skills to use the advanced theoretical and applied knowledge obtained at the mathematics bachelors program to do further academic and scientific research in both mathematics-based graduate programs and public or private sectors. | X | ||||
| 2 | Transplants and applies the theoretical and applicable knowledge gained in their field to the secondary education by using suitable tools and devices. | X | ||||
| 3 | Acquires the skill of choosing, using and improving problem solving techniques which are needed for modeling and solving current problems in mathematics or related fields by using the obtained knowledge and skills. | X | ||||
| 4 | Acquires analytical thinking and uses time effectively in the process of deduction | X | ||||
| 5 | Acquires basic software knowledge necessary to work in the computer science related fields and together with the skills to use information technologies effectively. | X | ||||
| 6 | Obtains the ability to collect data, to analyze, interpret and use statistical methods necessary in decision making processes. | X | ||||
| 7 | Acquires the level of knowledge to be able to work in the mathematics and related fields and keeps professional knowledge and skills up-to-date with awareness in the importance of lifelong learning. | X | ||||
| 8 | Takes responsibility in mathematics related areas and has the ability to work affectively either individually or as a member of a team. | X | ||||
| 9 | Has proficiency in English language and has the ability to communicate with colleagues and to follow the innovations in mathematics and related fields. | X | ||||
| 10 | Has the ability to communicate ideas with peers supported by qualitative and quantitative data. | X | ||||
| 11 | Has professional and ethical consciousness and responsibility which takes into account the universal and social dimensions in the process of data collection, interpretation, implementation and declaration of results in mathematics and its applications. | X | ||||
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 | ||