| Academic Year |
2026Year |
School/Graduate School |
School of Science |
| Lecture Code |
HR030000 |
Subject Classification |
Specialized Education |
| Subject Name |
数学の未解決問題入門 |
Subject Name
（Katakana） |
スウガクノミカイケツモンダイニュウモン |
Subject Name in
English |
Introduction to Unsolved Problems in Mathematics |
| Instructor |
KIMURA SHIYUNICHI |
Instructor
(Katakana) |
キムラ シュンイチ |
| Campus |
Higashi-Senda |
Semester/Term |
1st-Year, First Semester, First Semester |
| Days, Periods, and Classrooms |
(1st) Inte |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
Face-to-face, Online (on-demand) |
| |
| Credits |
1.0 |
Class Hours/Week |
|
Language of Instruction |
J
:
Japanese |
| Course Level |
1
:
Undergraduate Introductory
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
|
| Keywords |
|
| Special Subject for Teacher Education |
|
Special Subject |
|
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Class Objectives
/Class Outline |
Will explain how to live with unsolved problems in mathematics |
| Class Schedule |
lesson1 Introduction: How to work with unsolved problems?
lesson2 Problems of fractions: Egyptian fractions, odd perfect numbers
lesson3 Collatz Conjecture: Generalization, 2-adic numbers, and related topics (part 1)
lesson4 Collatz Conjecture: Generalization, 2-adic numbers, and related topics (part 2)
lesson5 Combinatorial Games (Part 1)
lesson6 Combinatorial Games (Part 2)
lesson7 Prime numbers (Part 1) Twin primes, polynomials loved by prime numbers
lesson8 Prime numbers (Part 2) Mersenne Prime Numbers, Perfect Numbers, Taxi Numbers
lesson9
lesson10
lesson11
lesson12
lesson13
lesson14
lesson15 |
Text/Reference
Books,etc. |
To be announced in the lecture |
PC or AV used in
Class,etc. |
Handouts, moodle |
| (More Details) |
|
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Answers to unsolved problems can never be found in books or internet. After research, try to think by yourself. |
| Requirements |
|
| Grading Method |
Reports |
| Practical Experience |
|
| Summary of Practical Experience and Class Contents based on it |
|
| Message |
|
| Other |
|
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. |