＜概要/Course Content Summary＞
Mathematics underpins virtually everything that we take for granted in our daily lives, and it is sometimes referred to as the “Queen of Science” due to its demands of logical rigor and cold calculations. However, despite its intimidating veneer, mathematics is the culmination of millennia of human endeavor. The purpose of this course is to give an accessible overview of some of the key developments in mathematics, covering the period from the time of the ancients, up to the early modern period. In addition to learning about the development of mathematics, students will also apply historical mathematical methods to solve problems. While we will cover the well-known Greek, Chinese, Islamic, and European mathematicians, as a specialty for this course, there will also be a section on Japanese mathematics during the Edo period.
While the course will include written assignments, to properly understand and follow the thinking of the mathematicians we will also cover problem solving using historical mathematical methods. While a background in high-school level math is useful, an enthusiasm for critical thinking and problem solving could replace that prerequisite, since the mathematical concepts will be introduced as they were historically considered.
＜到達目標/Goals,Aims＞
By the end of the course, a student will
• Be able to identify and explain the mathematical contributions of mathematicians up to the early modern period.
• Be able to solve basic problems with several historical methods.
• Appreciate the links and interplay between different branches of mathematics.
＜DO Week期間の初回動画等の配信/The delivery of the first video, etc. during the “DO Week”＞
あり/ Deliver the video
URL公開期間は終了しました。／The URL was closed.
＜授業計画/Schedule＞
実施時期
/Week |
授業回/Number of Lesson |
授業実施方法
/How to conduct a Lesson |
授業実施時間数
/Class Hours |
| 内容/Contents |
| 授業時間外の学習/Assignments |
|
第１週 DO Week
|
1 |
オンデマンド（動画視聴）/On-demand(watching video)
|
40 分/min |
| Introduction and Babylon |
| Self evaluation |
|
第2週
|
2 |
面接/Face-to-face
|
90 分/min |
| Greece – Plato and Aristotle |
| Reading and exercises |
|
第3週
|
3 |
面接/Face-to-face
|
90 分/min |
| Greece – Euclid |
| Reading and exercises |
|
第4週
|
4 |
面接/Face-to-face
|
90 分/min |
| Greece – Archimedes |
| Written homework |
|
第5週
|
5 |
面接/Face-to-face
|
90 分/min |
| Medieval – China |
| Reading and exercises |
|
第6週
|
6 |
面接/Face-to-face
|
90 分/min |
| Medieval – Middle East |
| Reading and exercises |
|
第7週
|
7 |
面接/Face-to-face
|
90 分/min |
| Medieval Europe – Fermat |
| Preparation for mid-term evaluation |
|
第8週
|
8 |
面接/Face-to-face
|
90 分/min |
| Mid-term evaluation and review |
| Reading |
|
第8週
|
9 |
オンデマンド（動画視聴）/On-demand(watching video)
|
70 分/min |
| Problem Solving I |
| Problem Solving |
|
第9週
|
10 |
面接/Face-to-face
|
90 分/min |
| Early Modern – Galileo |
| Reading and exercises |
|
第10週
|
11 |
面接/Face-to-face
|
90 分/min |
| Early Modern – Newton |
| Reading and exercises |
|
第11週
|
12 |
面接/Face-to-face
|
90 分/min |
| Early Modern – Euler |
| Written homework |
|
第12週
|
13 |
面接/Face-to-face
|
90 分/min |
| Japanese Mathematics I |
| Reading and exercises |
|
第12週
|
14 |
オンデマンド（動画視聴）/On-demand(watching video)
|
70 分/min |
| Problem Solving II |
| Problem solving |
|
第13週
|
15 |
面接/Face-to-face
|
90 分/min |
| Japanese Mathematics II |
| Preparation for final evaluation |
|
第14週
|
16 |
面接/Face-to-face
|
90 分/min |
| Final Evaluation |
| Review |
＜授業実施時間数/Class Hours＞
| 授業実施方法/How to Conduct a Lesson |
授業実施時間数/ Class Hours |
| 面接/Face-to-face |
1170 分/min |
| オンデマンド（動画視聴）/On-demand(watching video) |
180 分/min |
| オンデマンド（授業内課題）/On-demand(assignment in class) |
0 分/min |
| リアルタイム配信/Real-time online |
0 分/min |
| その他/Others |
0 分/min |
| 総合計/Total Amount of Class Hours |
1350 分/min |
アクティブラーニング/Active Learning
使用システム/System Tools
e-class
使用システムコメント/ Comment on the System tools
Lecture materials to be distributed on e-class
＜成績評価基準/Evaluation Criteria＞
|
Homework
|
10%
|
Homework will consist of both written and math sections.
|
|
Mid-term evaluation
|
40%
|
Closed book exam, calculators not permitted (or required).
|
|
Final examination
|
50%
|
Closed book exam, calculators not permitted (or required).
|
Students will be expected to prepare for and participate in class.
＜テキスト/Textbook＞
No textbooks required for the course.
＜参考文献/Reference Book＞
＜連絡方法 / Contact method＞
科目担当者への連絡方法/Contact method from student to instructor
Questions can be submitted via e-class, email is also permitted, details to be provided in class.
科目担当者からの連絡方法/Contact method from instructor to students
Communication will be done via e-class
|
