| Academic Year |
2025Year |
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
lesson6 P≠NP problem and Goedel's Incompleteness theorem: Existence of non-solvable problems and hard problems
lesson7 Prime numbers: Twin primes, polynomials loved by prime numbers
lesson8 Example of a solved problem: Einstein Tiling
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. |